The Pennsylvania State University. The Graduate School. Department of Architectural Engineering

Transcription

1 The Pennsylvania State University The Graduate School Department of Architectural Engineering EFFECTS OF SPECTRAL MODIFICATION ON PERCEIVED BRIGHTNESS AND COLOR DISCRIMINATION A Thesis in Architectural Engineering by Minchen Wei 2011 Minchen Wei Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science August 2011

2 ii The thesis of Minchen Wei was reviewed and approved* by the following: Kevin W. Houser Associate Professor of Architectural Engineering Thesis Advisor Richard G. Mistrick Associate Professor of Architectural Engineering Jelena Srebric Associate Professor of Architectural Engineering Linda M. Hanagan Associate Professor and Chair of Graduate Program of Architectural Engineering *Signatures are on file in the Graduate School

3 Abstract iii This study characterized the effect of spectral modification on perceived brightness and color discrimination under illumination provided by a pair of 32W, 4-foot, linear fluorescent lamps: SPX 3000K (SPK3K) and the Reveal linear fluorescent (RevLF). Sixty subjects participated, with half 25 years or younger (mean = 22.5, std. dev. = 1.7) and half 60 years or older (mean = 81.4, std. dev. = 7.1). The side-by-side evaluation mode was employed to characterize perceived brightness. Subjects made a forced choice for each of 44 pairs of light settings that: were practice trials (4 pairs); differed in spectrum at equal illuminance (8 pairs); varied in both spectrum and illuminance (24 pairs); or were identical (i.e. null condition trials, 8 pairs). Light settings were set within a range of 240 to 330 lux and the rooms had neutral gray surfaces. Equal perceived brightness was inferred from the paired comparisons, and found to occur when the photopic quantity (e.g. illuminance, luminance) from the RevLF was 5% lower (younger subjects) or 8% lower (older subjects) than that provided by the SPX3K lamps. At equal illuminance of 330 lux, the room illuminated by the RevLF was preferred to the one illuminated by the SPX3K by 67% of the younger subjects and 73% of the older subjects. Color and brightness were most commonly cited as reasons for preference. Color discrimination was characterized under 300 lux of RevLF and SPX3K illumination using the Farnsworth-Munsell 100 Hue Test (FM-100). For color-normal people below 25 years of age, and for those above 60 years of age who had cataract surgery, the red-green partial error score was statistically better under RevLF illumination. A significant difference was not found in the blue-yellow partial error score or in the total error score.

4 iv When brightness perception is considered in isolation, the spectral advantages of the RevLF cannot be offset by the disadvantage of lower luminous efficacy. That is, these data suggest that at equal brightness a room illuminated with RevLF will consume more energy than an otherwise identical room illuminated with SPX3K. When brightness and color discrimination are considered together, as with visual clarity, it is unknown whether RevLF or SPX3K illumination would be more energy efficient. Color discrimination, brightness perception, and overall preference all play a role in occupants gestalt evaluation, contribute to high performance building interiors, and play a role in sustainable lighting solutions designed to address occupant needs.

5 TABLE OF CONTENTS LIST OF FIGURES... vii LIST OF TABLES... xi Acknowledgements... xiii Chapter 1 Introduction Background The Human Eye Color Theories of Color Vision Changes with Age Objective General Approach Chapter 2 Literature Review Lamp SPD Vs. Spatial Brightness Experimental Methods for Brightness Perception Color Discrimination Spectral Modification Chapter 3 Design of the Study and Methodology Apparatus Subjects Independent Variables Independent Variables for Perceived Brightness Independent Variables for Color Discrimination Dependent Variables v

6 vi Dependent Variables for Perceived Brightness Dependent Variables for Color Discrimination Statistical Design Statistical Design for Perceived Brightness Statistical Design for Color Discrimination Experimental Procedures Chapter 4 Analysis and Results Data Reliability: Null Condition Trials and Tests for Bias Perceived Brightness Color Discrimination Chapter 5 Discussion Perceived Brightness Color Discrimination Chapter 6 Conclusions Reference... 92

7 LIST OF FIGURES vii Figure 1-1 A drawing of a section through the human eye [1]... 1 Figure 1-2 A simple diagram of the organization of the retina [1]... 3 Figure 1-3 Distribution of rods and cones in the retina [4]... 3 Figure 1-4 Luminous efficiency functions recognized by CIE [8]... 5 Figure 1-5 Normalized cone fundamentals and photopigment sensitivities [8]... 6 Figure 1-6 RGB color matching functions [8]... 8 Figure 1-7 XYZ color matching functions [8]... 8 Figure 1-8 The CIE 1976 USC with isotemperature lines... 9 Figure 1-9 Organization of Munsell Color System Figure 1-10 A possible diagram of the opponent system Figure 1-11 Opponent signals from the possible model of the opponent system (the functions are linear transformation of CMFs) [8] Figure 1-12 The Change of pupil diameter with age [1] Figure 1-13 The change of absorbance of lens with age [1] Figure 1-14 The transmission of the human donor lenses with age [18] Figure 1-15 Spectral power distribution of the SPX3K and the RevLF, adjusted so that peak relative output is at 100% Figure 2-1 Chromaticity diagram of the locations of ten lamps and the average B/L ratios [23] Figure 2-2 B/L ratio contours on the 1931CIE chromaticity diagram [25]... 23

8 Figure 2-3 Section of the CIE 1931 chromaticity diagram including 16 lamps whose viii chromaticity coordinates were close to the blackbody locus and B/L ratio versus CCT [23] Figure 2-4 Relationship between brightness and CCT. (a) Percentage of subjects selecting 3500K lamps over 6500K lamps in side-by-side comparisons; (b) Mean adjusted illuminance and standard deviations for two pairs of comparisons in the brightness matching trials [28] Figure 2-5 Ratio of power of lights to total power (Left: ratio of the power of light at variable wavelength to total power. Right: ratio of the power of two primary lights to total power) Red lines indicate the wavelengths require less power, and blue lines indicate the wavelengths require more power [33] Figure 2-6 Total Error Score (TES) of FM-100 versus the illuminance level for different age groups [67] Figure 2-7 Color discrimination performance of FM-100 for each age group and illuminance level [69] Figure 2-8 Transmittance of the lens used for spectral modification [71] Figure 3-1 Photograph of the installation of the lamps, luminaires and baffles Figure 3-2 A view from behind the subject s seated position in the session on perceived brightness Figure 3-3 A view from behind the subject s seated position in the session on color discrimination Figure 3-4 The SPDs of the two stimuli the SPX3K and the RevLF - each an average of measurements Figure 3-5 Photograph of the calibration during the course of the experiment... 45

9 Figure 3-6 Chromaticity coordinates plotted in the 1931 CIE chromaticity diagram for ix all measurements. The coordinates for each measurement can be enclosed by a four-step MacAdam Ellipse. The measurements were taken at different times during the course of the experiment for one of the light settings in one room each time Figure 3-7 Example of light settings provided for counter-balance Figure 4-1 Example of Chi-Squared test of independence between SPD and location (results for all the pairs are summarized in Table 4-2) Figure 4-2 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for younger group (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux) Figure 4-3 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for older group (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux) Figure 4-4 Plot of percentage of votes versus illuminance ratios (a. younger age group; b. older age group) Figure 4-5 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for the older subjects without cataract surgery (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux) Figure 4-6 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for the older subjects with cataract surgery (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux) Figure 4-7 Plot of percentage of votes versus illuminance ratios (a. older subjects without cataract surgery; b. older subjects with cataract surgery) Figure 4-8 The mean Total Error Score (TES), Red-Green Partial Error Score (R-G PES), and Blue-Yellow Partial Error Score (B-Y PES) of the subjects with normal color

10 vision in each age group for the FM-100 under each light setting, shown with individual x 95% confidence interval bars Figure 4-9 The mean Total Error Score (TES), Red-Green Partial Error Score (R-G PES), and Blue-Yellow Partial Error Score (B-Y PES) of the subjects in older group for the FM-100 under each light setting, shown with individual 95% confidence interval bars Figure 5-1 Neural Opponent Signals & SPDs of two lamps Figure 5-2 Opponent signals adapted to the SPX3K and the RevLF ( a. Red-green opponent signal; b. Blue-yellow opponent signal ) Figure 5-3 FM Gamut Area shown in the CIE 1960 UCS for the RevLF, the SPX3K, and CIE Illuminant C ( Illuminant C is the reference source under which the samples have approximately equal spacing) Figure 5-4 Plots of the chromaticity coordinates of FM sample 14 to sample 33 lit by the RevLF and the SPX3K in the CIE 1960 UCS... 88

11 LIST OF TABLES xi Table 1-1 Luminous efficiency functions for different usages... 5 Table 1-2 Properties of the SPX3K and the RevLF in GE Catalog [19] Table 2-1 Studies giving reliable results of SPD effect on brightness [49] Table 3-1 Demographic summary of the subjects. (Of the 3 subjects in the older group with abnormal color vision, all of them had had cataract surgery) Table 3-2 Characterization of the average SPDs for the SPX3K and the RevLF Table 3-3 Horizontal illuminance programmed for the SPX3K and the RevLF Table 3-4 Summary information of light settings and nominal calibration characteristics. Both rooms required and identical set of light setting, for a total of 28 light settings, each corresponding to a scene programmed into one of the two Lutron Grafik Eye controllers Table 3-5 Average and standard deviation of the illuminance of the light settings measured in each room Table 4-1 Summary data for null condition trials showing percentages of left/right selected. None of the trials in either age group had a p-value smaller than 0.05; p-values are only shown for the overall (i.e. age group pooled) category Table 4-2 Summary of results for Chi-Squared test of independence. The SPD and location are statistically independent (p-value>0.05) Table 4-3 Percentage of votes in younger group at different illuminance levels of SPX3K Table 4-4 Percentage of votes in older group at different illuminance levels of SPX3K ( The shaded cells in emboldened values represent results that are not statistically different from chance according to the Chi-Square Goodness-of-Fit test with p-values > 0.05)... 59

12 Table 4-5 Summary of the regression lines and hypothesis testing for the plots of xii younger and older groups Table 4-6 Percentage of votes of 10 older subjects without cataract surgery at different illuminance levels of SPX3K Table 4-7 Percentage of votes of 20 older subjects with cataract surgery, including three with abnormal color vision, at different illuminance levels of SPX3K Table 4-8 Summary of the regression lines and hypothesis testing for the plots of subjects with and without cataract surgery Table 4-9 Summary of the results of FM-100 of the subjects with normal color vision in each age group under each light setting Table 4-10 Analysis of variance for R-G PES Table 4-11 Analysis of Variance for B-Y PES Table 4-12 Analysis of Variance for TES Table 4-13 Summary of the results of Student s Paired Sample t-tests Table 4-14 Summary of the results of FM-100 of the color-deficient subjects in each age group under each light setting Table 5-1 Lighting metrics and colorimetric properties of two SPDs. The calculations were based on the average SPDs Table 5-2 Standard deviations of the caps of three SPDs... 88

13 Acknowledgements xiii I want to express my sincere thanks to the following people, without whom my research would not have been finished: Dr. Kevin Houser Dr. Jelena Srebric Andrea Wilkerson Tony Esposito Dr. Richard Mistrick Dr. Michael Royer Craig Casey Yi Wei Fengzhi Zhang Dr. Kevin Houser, my advisor, who gave me the opportunity to participate in this project, taught me how to do research, supported me to finish the project, and also serves as a model for my professional career. Dr. Richard Mistrick, who taught me a lot of knowledge in the lighting field outside my research area and gave me good guidance on my project. Dr. Jelena Srebric, who is my committee member and gave me good suggestions about my research. Dr. Michael Royer, Andrea Wilkerson, and Craig Casey, my good colleagues at Penn State, who helped me a lot and gave me very good advice about my research and study over the last two years. Tony Esposito, project assistant, who assisted me with apparatus modification and data collection. My father and mother, for supporting me unconditionally in China. *This research was funded by GE Lighting.

14 1 Chapter 1 Introduction 1.1 Background The Human Eye The electromagnetic spectrum is the range of all possible frequencies of electromagnetic radiation, covering from short wavelength to long wavelength. However, not all the wavelengths are visible to the human visual system. Visible light is only a small part of the electromagnetic spectrum, from 380nm to 780nm. The light reflected from an object to our eyes enables us to see the object. The eye is the place where vision begins. As shown in Figure 1-1, the eye consists of the lens, cornea, pupil, fovea, and the retina. There are different kinds of photoreceptors in the retina, which connect at the back of the eye. When the light enters the eye through the pupil, it passes through the transparent cornea and lens, which creates a focused image on our retina. The light in the image on the retina stimulates the photoreceptors. The fovea on the retina is of particular interest, as it has the most acute vision of the entire retina. Figure 1-1 A drawing of a section through the human eye [1]

15 2 There is a kind of electrically excitable cell that can process and transmit information by electrical and chemical signaling in our body, called a neuron. A photoreceptor is a specialized type of neuron found in the retina, converting visible light into signals that can stimulate biological processes. Rods and cones are the two classic photoreceptors in the retina, which are part of the visual system. A third kind of photoreceptor was found in 2002 [2], intrinsically photosensitive retina ganglion cell (iprgc), which establishes a relationship between neurophysiology and circadian photobiology. Rods and cones are found in the photoreceptor layer of the retina and the names of them are derived from their shapes [3]. Both of these photoreceptors contain light-sensitive chemicals called photopigments, which react to light and trigger electrical signals. These signals flow through a network of neurons and eventually reach the back of the eye in the optic nerve, which conducts signals toward the brain. Figure 1-2 shows the organization of the retina. The fovea is the most acute area in the retina, which only contains cones. The peripheral retina, which is the entire area of the retina outside the fovea, contains both cones and rods. However, the blind spot is the place in the retina that does not contain any photoreceptor. The distribution of the rods and cones in the retina is shown in Figure 1-3.

16 3 Figure 1-2 A simple diagram of the organization of the retina [1] Figure 1-3 Distribution of rods and cones in the retina [4]

17 4 The most important distinction between rods and cones is the visual function. Rods serve vision at lower luminance levels (below 0.01 cd/m 2 ), while cones serve vision at higher luminance levels (above 3.0 cd/m 2 ). At the luminance level between 0.01 cd/m 2 and 3.0 cd/m 2, both rods and cones function simultaneously. The vision when only cones are active is called photopic vision, while only rods are active is called scotopic vison. And mesopic vision is the vision in which both cones and rods are active [4]. Cones are able to provide chromatic vision, which helps us to discriminate different colors, while rods only provide achromatic vision. Besides visual function, rods and cones have different spectral sensitivity to light with different wavelengths. A lot of studies and experiments have been done to investigate the luminous efficiency function. V(λ), the luminous efficiency function for photopic vision, describes the efficiency of radiant flux at stimulating the cones in the eye, which has a peak wavelength at 555nm. V (λ), the luminous efficiency function for scotopic vision, describes the efficiency of radiant flux at stimulating the rods in the eye, which has a peak wavelength at 507nm. Since V(λ) is only valid for small filed view of about 2º, CIE developed some other spectral luminous efficiency functions for different conditions, which are listed in Table 1-1 and shown in Figure 1-4. V (λ) was measured when the visual angles were not less than 5º. With the combination of rods and cones, the luminous efficiency function for mesopic vision is complex. The unified System of Photometry (USP-system) [5], Mesopic Optimization of Visual Efficiency (MOVEsystem) [6], and Intermediate System (MES2-system) [7] are the major models for mesopic vision.

18 Table 1-1 Luminous efficiency functions for different usages 5 Function Luminance Level Field Size CIE Publ. No. V(λ) Photopic 2 ISO/CIE VM(λ) Photopic 2 NO. 86 (1990) V10(λ) Photopic 10 or off fovea beyond 2 ISO/CIE Vb,p(λ) Photopic Point Source No.75 (1988) Vb,2(λ) Photopic 2 No.75 (1988) Vb,10(λ) Photopic 10 or off fovea beyond 2 No.75 (1988) V (λ) Scotopic >2 Proc Figure 1-4 Luminous efficiency functions recognized by CIE [8]

19 6 Humans with normal color vision have three types of cone receptors and one type of rod receptor in the eyes. With the combination of three types of cones, people are able to see different colors in the world. The three types of cones, long-wavelength sensitive (LWS), medium-wavelength sensitive (MWS), and short-wavelength sensitive (SWS), are often misleadingly called red, yellow, and green, though they work very much the way of trichromatic theory mentioned below. These three types of cones have peak sensitivities at 430nm, 530nm, and 560nm. Different experimental methods get functions slightly different, seen from Figure 1-5. Figure 1-5 Normalized cone fundamentals and photopigment sensitivities [8] Color Color is an attribute of visual perception that consists of any combination of chromatic and achromatic content. Different metrics have been defined to describe the attributes of a color. Spectral power distribution (SPD) describes the power per unit area per unit wavelength of an illuminant, which is the basis for all the metrics. Tristimulus Values and Chromaticity Coordinates

20 7 Trichromatic generalization summarizes the experimental laws of color matching, which states that many color stimuli can be completely visually matched in color by mixing three fixed primary stimuli with suitable radiant powers. A system of colorimetry was constructed based on the principles of trichromacy and Grassmann s laws of additive color mixture. Three primary stimuli were defined which can be mixed to get other colors and none of which can be color matched by a mixture of the other two. In 1931, CIE adopted the 2º Standard Colorimetric Observer, characterized by r (λ), g (λ), and b(λ) Color Matching Functions (CMFs) (Figure 1-6), which allows to represent a color by three tristimlus values. However, sometimes one of the three primary stimuli have to be added to the test stimulus to match the mixture of the other two primary stimuli, which will make this stimulus have negative value. A transformation from r (λ), g (λ), and b(λ) to x (λ), y(λ), and z (λ) (Figure 1-7) was established to guarantee the tristimulus values X, Y, and Z are larger than zero. The sum of the percentage values of the three tristimulus values is 1.0, thus the percentage values of the first two tristimulus values make up the chromaticity coordinate, which can be plotted in the CIE 1931 chromaticity diagram. Sometimes, two stimuli with different SPDs may have the same tristimulus values and chromaticity coordinates, and they are visually indistinguishable, which is called metamerism. Like the luminous efficiency function, CMFs were collected based on a 2º field of view. In 1964, the CIE 10º Standard Colorimetric Observer was established (Figure 1-6, Figure 1-7).

21 8 Figure 1-6 RGB color matching functions [8] Figure 1-7 XYZ color matching functions [8] Color Temperature & Correlated Color Temperature Color temperature is applied to highly selective radiators. When the light of a radiator has the same or nearly the same chromaticity coordinate as a blackbody radiator at a certain temperature, this temperature is called the color temperature of the selective radiator.

22 9 Correlated color temperature (CCT) is introduced when the chromaticity coordinate of a radiator is not exactly the same as any of the chromaticity coordinate of the blackbody radiator. CCT is defined as the temperature of the blackbody radiator whose perceived color is most like that of the given radiator at the same brightness under specific viewing conditions. Figure 1-8 shows the isotemperature lines calculated by Kelly [9]. Color Rendition Color rendering ability of a light source is the effect the source has on the color appearance of objects in comparison with their appearance under a reference source. Though different methods have been established to evaluate a light source s color rendering ability, the most commonly used method to assess color rendering by a single number is the CIE Color-Rendering Index (CRI). Figure 1-8 The CIE 1976 USC with isotemperature lines

23 10 CRI is based on the average length of chromaticity-difference shifts between a test light source and reference light source in the 1964 CIE UCS, which has a maximum value of 100 and minimum value of zero. A set of eight test-color samples is used to compute CRI, and another set of six test-color samples is used to compute special CRI. Light sources that render the eight testcolor samples close to the reference illuminant have smaller shifts and higher CRI. Conversely, a lamp having lower CRI has large color shift for the eight test-color samples compared to the reference illuminant. The reference illuminant is defined to have the same CCT of the testing light source. For a lamp with CCT of 5000K or above, the CIE daylight model is used; while for the lamp with CCT lower than 5000K, a blackbody radiator is used. However, CRI has some limitations. It uses a single number derived from the color shifts of eight color samples in the CIE 1964 UCS to describe the color rendering ability. None of these color samples is highly saturated and the CIE 1964 UCS is non-uniform. Different reference illuminants are used to calculate CRI for the lamps with different CCT, which does not allow comparisons between different light sources. In addition, the reference illuminants are not always ideal for color rendition, though they are defined to have 100 for CRI. With the development of the light-emitting diode (LED), CRI has been shown to be a poor index to characterize narrow band spectra [10]. Sometimes, R 9 is used to characterize the rendering ability of a source for a stronger red test color, since red-green contrast is considered important for color rendering [11, 12]. Some other indices of color rendition are commonly used, including Flattery Index (R f ) [13], Color Discrimination Index (CDI) [14], Color Preference Index (CPI) [15], Gamut Area, FM Gamut Area, and Color Quality Scale (CQS) [16]. Munsell Color System

24 11 The Munsell Color System is the most widely used color order system throughout the world. It specifies color appearance according to three attributes: Hue (H), Value (V), and Chroma (C) with equal visual increments along each dimension. The definitions of these three attributes match the definitions of corresponding appearance attributes of hue, lightness, and chroma of color perception. Figure 1-9 Organization of Munsell Color System The value scale is the anchor of the system with ten main steps. White is given a notation of ten and black is zero, and intermediate grays are given notations ranging between zero and ten. The hue circle in the system is divided into five principle hues (purple, blue, green, yellow, and red, denoted 5P, 5B, 5G, 5Y, and 5R respectively) and is designed to divide the complete hue circle into equal perceptual intervals. Five intermediate hues are also designated in the system as 5PB, 5BG, 5GY, 5YR, and 5RP for a total of 10 hue names. There are also ten integral hues for each of the ten hues. For example, for the range between 5PB and 5P, there are 6PB, 7PB, 8PB, 9PB,

25 12 10PB, 1P, 2P, 3P, and 4P. This type of sequence continues around the entire hue circle, resulting in 100 integer hue designations that are intended to be equal perceived hue intervals. The third dimension is chroma. The chroma scale is designed to have equal visual increments from a chroma of zero for neutral samples to increasing chromas for samples with stronger hue content. There is no maximum value for the chroma scale. The highest chroma achieved depends on the hue and value of the samples and the colorants used to produce it Theories of Color Vision The most acceptable theory of color vision today is the product of multiple stages of visual processing, which originated from Hurvich and Jameson in This theory is based on the sequential combination of two prior theories, trichromatic theory and opponent process theory. Trichromatic Theory This theory is the first scientific theory of color vision which was initially proposed by George Palmer, Thomas young, and Helmoholtz [17] individually in the late 1700s. The theory proposed that there are three primary types of color receptors in the human eyes, nominally red, green, and blue. All the other colors were explained as combinations of these primaries. These three types of color receptors respond differently as a function of the wavelength of the light falling on them. And these three kinds of receptors are regarded to produce peak stimuli in the short-wavelength, medium-wavelength, and long wavelength region of the spectrum. The theory also explained some basic phenomena of color vision, such as the three primary colors, the existence of metamers, and color blindness. Opponent Process Theory

26 13 Besides some basic phenomena that can be explained by trichromatic theory, there are still some other facts that cannot be explained very well. The most striking phenomenon is the experience that colors are never lost singly, which would be expected based on the trichromatic theory. Yellow seems to be another primary color as red, green, and blue. In the late 1800s, Ewald Hering established the opponent process theory, indicating there are four chromatic primaries rather than three and they are structured into pairs of polar opposites: red-green and blue-yellow. He agreed with Helmoholtz about three primitive mechanisms but thought there were three opponent mechanisms instead of the trichromatic primaries. The opponent mechanisms he believed existed were red-green receptor, yellow-blue receptor, and white-black receptor. Dual Process Theory Debates between the two theories above lasted for a long time. Hurvich and Jameson attributed color vision to both processes. Three photoreceptors are the first step of color vision to perceive color. The outputs of these three photoreceptors become the input into the opponent channels, as shown in Figure The cells in the retina, bipolar and ganglion cells were also found to support the dual process theory.

27 14 Figure 1-10 A possible diagram of the opponent system Figure 1-11 Opponent signals from the possible model of the opponent system (the functions are linear transformation of CMFs) [8]

28 1.1.4 Changes with Age 15 The visual system of human beings can be regarded as an image-processing system. The factors that determine the operating state of the system are the amount of light that reaches the retina and the wavelengths that the light contains. The factors that determine the clarity of the retinal image are the ability to focus the image of the external object on the retina, the extent to which light is forward scattered as it passes through the eye, the presence of stray light produced by back reflection from the components of the eye, transmittance through the eye wall, and the fluorescence in the lens of the eye. As an optical system, the eye has a fixed image distance and a variable object distance. In order to make the objects with different distances focused onto the retina, the optical power of the eye has to change, which is determined by the curvature of the cornea and the thickness of the lens. The curvature of the cornea is fixed, while the thickness of the lens is variable. As the visual system ages, the range of object distances that can be focused onto the retina decreases because of the increasing rigidity of the lens. After 60 years old, the eye is virtually a fixed focus optical system. The optical factors determining the amount of light reaching the retina are the pupil size and the spectral absorption of the components of the eye. The area of the pupil varies as the amount of light available changes. The pupil becomes larger to admit more light when there is little, while the pupil becomes smaller when there is plenty of light. As a person ages, the ratio of the maximum to the minimum pupil area decreases. The maximum decreases much more than the minimum does, which means that old people are much less able to compensate for low light levels by opening the pupils than young people.

29 16 Figure 1-12 The Change of pupil diameter with age [1] As the lens ages, its color changes from clear to yellow and finally brown. With the change of color, the absorption is also changing. For the spectral absorption of the eye, the majority of the absorption takes place on passage through the lens. As shown in Figure 1-13, the absorbance of the lens increases exponentially from birth. The reduction of the optical radiation is not uniform across the entire spectrum. When people are in their 80 s or 90 s, the transmittance of the shortwavelengths is 10% compared to that at ten years old. Lundeman and his colleague studied the transmittance of human eyes in donor lenses from the age of 17 to 76 years old. Figure 1-14 shows a significant decrease in transmission in the nm range, while in the range of red color, it only drops slightly [18].

30 17 Figure 1-13 The change of absorbance of lens with age [1] Figure 1-14 The transmission of the human donor lenses with age [18]

31 18 A cataract is a clinical term used for a lens which is no longer transparent to light and it is treated by removing the contents of the lens capsule and replacing the lens by an intraocular lens, called cataract surgery. 1.2 Objective In order to evaluate the attributes of light sources, many metrics have been developed in the last several decades, such as efficacy, CRI, Gamut Area, CCT, and lumen-output. The properties of lamps are generally indicated using these traditional measurement systems. Recently, General Electric (GE) Lighting has developed a new family of lamps with non-standard spectral power distribution, which appears to have better properties than what is indicated by the traditional metrics. This new family is known as Reveal and it is commercially available. The SPDs of the lamps in this family are diminished in the yellow region, as shown in Figure % 100% SPX3K RevLF Relative Output 80% 60% 40% 20% 0% Wavelength 550 (nm) Figure 1-15 Spectral power distribution of the SPX3K and the RevLF, adjusted so that peak relative output is at 100%

32 This study attempts to draw statistically sound conclusions regarding the differences between a SPX 3000K Linear Fluorescent Lamp (SPX3K) that has the typical tri-band spectral power 19 distribution and a Reveal Linear Fluorescent Lamp (RevLF) that has a diminished yellow emission spectral power distribution. Based on the traditional metrics, the SPX3K performs much better than the RevLF does. It has better color rendition ability and is more efficient. Table 1-2 Properties of the SPX3K and the RevLF in GE Catalog [19] Power (W) CCT (K) Initial Lumen (lm) Mean Lumen (lm) CRI SPX3K RevLF General Approach The approach taken was to develop two side-by-side full-scale rooms that permitted the human subjects to make brightness comparisons and conduct a color discrimination task. Details of the experimental room are provided in Chapter 3 Design of the Study and Methodology. The lighting fixtures in the room were specifically designed so that the rooms were indirectly illuminated. The human subjects were not able to see the light sources directly and the luminance distributions of the rooms were designed as close as possible when using different lamps.

33 Chapter 2 Literature Review Lamp SPD Vs. Spatial Brightness Brightness is an attribute of a visual sensation in which a stimulus appears to be radiating or reflecting light. A draft definition of spatial brightness has been proposed by the Illuminating Engineering Society (IES) Visual Effects of Lamp Spectral Distribution Committee: Spatial brightness describes a visual sensation to the magnitude of the ambient lighting within an environment, such as a room or lighted street. Numerous studies have been carried out to investigate the relationship between SPD and brightness perception, which provides some opportunities to reduce illuminance while maintaining the same brightness perception. Spaces with the same illuminance level appear differently bright because of the definition of the illuminance. Illuminance is defined based on V(λ), the CIE Standard Photopic Observer, which is different from the visual process of the brightness perception. The visual system of a human being has three channels: one achromatic channel and two chromatic channels, which have inputs from different combinations of three types of cones [20]. V(λ), the CIE Standard Photopic Observer, was collected by flicker photometry and step-by-step brightness matching which tend to minimize the activities of two chromatic channels and only take the activity of the achromatic channel into account [3]. However, brightness perception is dependent on the activities of all three channels [21]. Though the limitations of V(λ) in predicting brightness perception are known [22], including field size, luminance levels, experimental conditions, and the additivity assumptions, it is still the most widely used basis to model the quantities in illuminating engineering. The relationships between brightness and the attributes of color stimuli, such as CCT, CRI, chromaticity coordinate, saturation, and hue, have been studied by many researchers.

34 21 Figure 2-1 Chromaticity diagram of the locations of ten lamps and the average B/L ratios [23] Correlated Color Temperature (CCT) & Color-Rendering Index (CRI) Harrington investigated the Brightness/Luminance ratio (B/L ratio) by using color stimuli with different CCTs ranging from 5380K to 6260K with all having chromaticity coordinates on the blackbody locus. He found that luminance was required to increase to maintain the same brightness when CCT decreased, and age had an impact on brightness perception [24]. Alman used highly saturated colors to run side-by-side matching experiments. He found that B/L ratio increased with the hue series yellow, orange, green, blue, and red [23]. However, Ayama ran the experiments on four observers and got an average value of B/L ratios [25] which contradicted the results drawn by Alman.

35 22 Alman also found the trend for the colors close to the blackbody locus [23]. For colors with CCT above 3000K, B/L ratio increased when CCT increased, while for the color with CCTs lower than 3000K, B/L ratio increased when CCT decreased, shown as Figure 2-2. Using semantic rating scales to compare side-by-side booths, Delaney found approximately equal ratings of brightness for lamps with CCT of 5000K and 4200K, but progressively better ratings for the lamps with higher CCT as the difference in CCT increased [26]. Boyce and Cuttle compared four fluorescent lamps with CCT of 2700K, 3500K, 4200K, and 6300K, with CRI in the range of A 5-point rating scale was employed in the experiment. They found that in achromatic rooms, CCT did not affect the ratings of brightness and glare, while in colored rooms, rooms with 6300K were rated less bright than the rooms with 2700K or 3500K [27]. Hu and her colleagues ran side-by-side comparisons of brightness perception and side-by-side dimming adjustments for brightness matching, showing that CCT and brightness perception were not related [28].

36 23 Figure 2-2 B/L ratio contours on the 1931CIE chromaticity diagram [25] Figure 2-3 Section of the CIE 1931 chromaticity diagram including 16 lamps whose chromaticity coordinates were close to the blackbody locus and B/L ratio versus CCT [23]

37 24 Figure 2-4 Relationship between brightness and CCT. (a) Percentage of subjects selecting 3500K lamps over 6500K lamps in side-by-side comparisons; (b) Mean adjusted illuminance and standard deviations for two pairs of comparisons in the brightness matching trials [28] CRI is regarded as another method to describe the attribute of a light source. Fotios summarized the comparison between two lamps, A and B. If lamp A had a higher CCT and CRI than lamp B does, the interior appeared brighter when using lamp A. If the lamps had similar CCTs, the interior appears brighter when using the lamp with higher CRI. He also suggested that consideration of CRI and CCT together provide a better prediction of color appearance. Lamps with higher CRI and CCT would be perceived brighter, and could be set to a lower illuminance level for equal perceived brightness [29]. All the studies above investigated the relationship between CCT, CRI, chromaticity coordinates, and brightness perception. Most of the experiments were carried out for small viewing fields, which is the same limitation of V(λ). They used different lamps to illuminate chips for observing and evaluating brightness. However, the materials, and reflectance of the chip could be the factors

38 25 that affect the sensation of the observers. For architectural engineering and interior lighting, perception mainly focuses on large viewing fields. All the conclusions made above should be reconsidered if applied to a large viewing field. In short, none of CCT, CRI, Gamut Area, and chromaticity coordinates alone would be able to predict the brightness response, which was concluded by Fotios [29]. Prime Color Theory In 1777, George Palmer found that there were three types of color receptors in a human s eyes, which produce the primary color sensations. Thornton studied the trichromatic response from several points-of-view, including brightness perception [30] and color preference. He called the regions near 450nm, 530nm, and 610nm in spectrum the prime colors, which were able to enhance both brightness and color perception. In contrast, the intermediate regions around 500nm and 580nm were called the anti-prime colors, which can worsen brightness and color perception. That is the basis for tri-phosphor fluorescent lamps. Thornton concluded that the three most effective wavelengths in white light were near 450nm, 540nm, and 610nm for CRI. Conversely, composition of white light should avoid wavelengths near 500nm and 580nm, which were ineffective. Elimination of wavelengths near 500nm or 580nm improved the CRI and color discrimination significantly [31, 32]. In the 1990s, a series of experiments of perceived brightness were carried out by Thornton. Three primary colors were used to match the broadband-white fluorescent lamps in brightness by the Maxwell Method: 452nm-533nm-607nm, 477nm-558nm-638nm, and 497nm-579nm-653nm. Two spectral lights were held at primary wavelengths, while the third was varied through the remaining primary. He found that the least power was required for brightness matching near 450nm, 530nm, and 610nm, while the most power was required near 500nm or 570nm, which was independent both of

39 26 primaries and of colorimetric assumption [33]. Another experiment method, the Maximum Saturation Method, was also used. A spectral light of variable wavelength was mixed with one of the primary to match the other two primaries. The same three primaries sets were used [33]. Figure 2-5 Ratio of power of lights to total power (Left: ratio of the power of light at variable wavelength to total power. Right: ratio of the power of two primary lights to total power) Red lines indicate the wavelengths require less power, and blue lines indicate the wavelengths require more power [33] Houser and his colleagues ran a pilot study based on Thornton s prime color theory. By increasing the magnitude of radiation within the prime-color regions, brightness and color preference were found to increase, which supported the prime color theory. A conclusion was drawn that the perception of brightness and visual clarity depend on the placement of radiant power within key spectral regions. More energy within the 450nm-530nm-610nm regions led to enhanced brightness perception and color preference [34]. Opponent Process Based on the theory of dual process of the visual system, some theories about brightness were established based on the opponent system. Several simple linear models were established. The

40 27 brightness meter invented by Thornton was expressed as β = L + B Y + G R [35]. The brightness model established by Thornton was expressed as β = Y + M + N [30]. And the vector luminance model of Guth and Lodge was given by L = A 2 + T 2 + D 2 1/2 [36]. The luminance model and brightness model were based on the chromatic and achromatic channels from the transformation of the CIE 1931 Standard Colorimetric Observer. The perceived brightness was the sum of the activities in three channels, but the summation is confused by the arbitrary signs of the red-green and blue-yellow channels. Thus, Guth and Lodge used a vector sum in the vector luminance model and Thornton summed the absolute values in the three channels in his brightness model. The brightness meter established by Thornton was found to be the most accurate among the three. Some other models were developed by Fotios [37-39], Yaguchi [40], Nayatani [41], Fairchild [42], and Houser [22]. All of these models provide better prediction of brightness than V(λ) does, though they are still not perfect [43]. S/P Ratio or C/P Ratio Berman argued that rods contribute to the spatial brightness for large fields of view at photopic vision. He thought the perception of spatial brightness is related to the ratio of scotopic to photopic lumens (S/P ratio), suggesting that at equal luminance, lamps with a higher proportion of energy in short-wavelength regions will be perceived brighter [44]. Based on psychophysical experiments, he found differences in brightness between stimuli with the same chromaticity coordinates and photopic luminance. He argued that the same chromaticity coordinates and photopic luminance should provide equal excitation to the cone receptors, so the differences of the brightness perception cannot solely be due to cone receptors. Rods must be active at these light levels [44]. He promoted P(S/P) 0.5 as a correlate for brightness perception and stating that the lamps with a high S/P ratio should be promoted as a method for reducing energy

41 28 consumption. Berman also supported that the cirtopic spectral sensitivity is the true driver of the brightness perception while scotopic sensitivity can explain the effect because the scotopic and cirtopic functions have peaks near to each other [45]. The other reason to use C/P ratio is it correlates with the change in pupil size driven by the intrinsically photosensitive Retinal Ganglion Cell (iprgc). However, rod response is generally considered to be saturated at photopic levels, which means rods should make little contribution to brightness perception. The response of SWS is considered alternatively in the S/P ratio. Stockman [46] and Ingling [47] found the contribution of SWS to brightness perception. A model of P(SWS/P) 0.24 was proposed by Fotios to predict brightness perception [39]. It was also mentioned by Berman that this relationship might not be accurate for narrow band sources such as LEDs. Houser and his colleagues ran experiments to test brightness perception. The stimuli of two S/P ratios were applied in the experiment. Both of them were on the blackbody locus. Two luminance levels were used. The conclusion from the experiments indicated that S/P ratio and CCT were not able to predict brightness perception, at least for the stimuli on the blackbody locus, though the stimuli in this experiment were not representative of light stimuli [48]. 2.2 Experimental Methods for Brightness Perception Over 60 studies have been carried out to investigate the relationship between SPD and spatial brightness perception. Different experiments were designed and provided the different conclusions. Some of them reported a significant effect of SPD, while others concluded little effect. Experimental procedures should be designed carefully to get reliable results.

42 29 Joint and separate evaluations are the two major methods of evaluation. In separate evaluation, stimuli are presented individually, while in joint evaluation, two or more stimuli are presented at the same time. The joint evaluation method can be subdivided into simultaneous and sequential modes. Simultaneous mode means the stimuli are presented side-by-side, while the sequential mode means the stimuli are presented in temporal juxtaposition. Rating, ranking, and matching are the three possible responses provided from the subjects. Rating is the method that requires subjects to rate the level of brightness of a space. Providing a standard for this rating is required to get reliable results. Ranking method requires the subjects to rank the stimuli from brightest to darkest. Matching requires the subjects to dim one stimulus to match the brightness of the other stimulus. Fotios provided a very good summary of the methods required for reliable studies in Table 2-1 [49]. Table 2-1 Studies giving reliable results of SPD effect on brightness [49] Study Response Field Size Evaluation Mode Akashi & Boyce [50] Yes/No Response to Statements Full Field Separate Berman et al. [51] Forced Choice Full Field Sequential Boyce [52] Matching Full Field Simultaneous Boyce et al. [53] Yes/No Response to Statements Full Field Separate Boyce and Cuttle [54] Rating Full Field Separate Flynn and Spencer [55] Rating Full Field Separate Fotios and Gado [56] Matching 40º high, 72º wide Simultaneous Fotios and Levermore [57] Matching 22º high, 38º wide Simultaneous Houser et al. [34] Forced Choice Full Field Simultaneous Houser et al. [48] Forced Choice Full Field Simultaneous Houser et al. [48] Forced Choice Full Field Sequential

43 30 Hu et al. [28] Matching Full Field Simultaneous Thornton and Chen [58] Matching 30º high, 50º wide Simultaneous Vrabel et al. [59] Forced Choice Full Field Sequential Vrabel et al. [59] Rating Full Field Separate Only 13 out of 60 previous studies seem to be reliable. The aspects of these procedures were counterbalanced or randomized, null condition trials were included, and clear statistical analysis was used in these studies. Counterbalanced or randomized procedures were used to guarantee that there was no order or positional bias in the results. Chromatic adaptation should be considered in the experiment. In simultaneous mode, subjects adapt to a mixed spectrum where the white point is somewhere between the two stimuli. In rapidsequential mode, the duration of the stimuli need to be controlled within 3-5 seconds, at which point the chromatic adaptation tends to be only about 60% complete. When using side-by-side ranking tests, the frequency of stimuli may introduce bias. When a forced-choice is required between reference illuminant and test illuminant, the subject may not compare the test lights to the reference, but instead to the overall range of test lights, which means the middle of the range presented will be the one found to be equally bright as the reference [60]. 2.3 Color Discrimination Color rendering consists of three components, which may not be correlated well with each other. The three components include the accurate rendition of colors or colors of objects as they appear

44 31 under the reference light source, the rendition of colors that make objects appear more pleasing (vivid or flattering), and the capability of a lamp to allow for human beings to distinguish between a large variety of colors when viewed simultaneously. These are noted as fidelity, appeal, and discrimination [8]. Different metrics have been established for these. CRI is an index to qualify the fidelity. FI [13] and CPI [15] measure the appeal of a lamp. CDI [14] and Gamut Area Index (GAI) [61] provide a measurement of color discrimination. Jerome concluded that maximizing one element might be detrimental to another [62]. Both CDI and GAI are calculating the area enclosed by the eight test-color samples used in CRI in the CIE 1960 UCS. The difference between them is the scaling method to calculate the index. The number of test color samples and the uniformity of UCS are the two limitations of CDI and GAI. FM Gamut calculates the gamut area enclosed by the 85 color samples of Farnsworth- Munsell 100 Hue Test (FM-100) in the CIE 1960 UCS, which is a similar method to CDI. Royer and his colleague failed to find a good predictor among CRI, CDI and FM Gamut Area for color discrimination [63]. Thus, it is not beneficial to use an index to predict the color discrimination ability of a light source or a spectrum. FM-100 was designed by Farnsworth in 1943 [64], which is widely used in color vision tests. Many studies have been conducted to investigate the effects of SPD, illuminance level, age, and color deficiency on the color discrimination by using FM-100. In 1976, Boyce ran an experiment to see the impact of illuminance level on color discrimination. Fifteen subjects performed the FM-100 under four different fluorescent lamps and two different illuminance levels. Boyce drew the conclusion that the illuminance levels within lux had no impact on color discrimination [65]. A study in 1977 carried out by Boyce included more light sources showed the same results [66]. Bowman reviewed all the literature in 1980 and

45 32 carried an experiment with 10 subjects. He drew the conclusion that the Total Error Score (TES) of FM-100 increased when the illuminance level decreased. When the illuminance level was above 100 lux, the improvement of color discrimination was not statistically significant [67]. Figure 2-6 summarizes the results of TES of FM-100 versus illuminance level. Figure 2-6 Total Error Score (TES) of FM-100 versus the illuminance level for different age groups [67] For the relationship between stimulus and color discrimination performance of FM-100, Boyce found that light sources with higher CRI improved color discrimination performance [65, 66]. And it was similar for CIE Gamut Area and CDI [66]. For the lamps with similar CRI, it was found that higher CCT led to a reduction in TES [54]. However, no significant difference was found among a 2900K halogen lamp, 3000K tri-band CFL, and 5000K full spectrum CFL [68]. Age is another factor that is thought to affect color discrimination performance. It has been generally accepted that older people consistently produced much worse performance than

46 younger people and middle-aged people [66, 68, 69]. When changing light settings during experiments, longer adaptation time was needed by the older subjects [68]. 33 Figure 2-7 Color discrimination performance of FM-100 for each age group and illuminance level [69] 2.4 Spectral Modification Many studies tried to modify SPD to improve visual performance for people. Using goggles or contacts were the most widely used methods for spectral modification. In 1983, Kinney compared the visual performance of subjects between yellow goggles and neutral goggles

47 34 with equal transmittance. Subjects wearing yellow goggles showed faster reaction time [70]. However, both of the chromatic channels, yellow-blue and red-green, were affected in the same direction by yellow cutoff filters, so the relative contribution to the results was unknown. In 1990, a similar experiment was carried out by Kelly to investigate the impact of yellow goggles on brightness perception. He found that brightness perception was enhanced about 40% by yellow goggles when the spatial extent of the stimulus exceeded to fovea [71], which also supported the failure of S/P in predicting brightness. Figure 2-8 Transmittance of the lens used for spectral modification [71] X-Chorm lens, a broadband red contact lens, is another way to modify the spectrum entering people s eyes. In some instances, significant improvements in color discrimination have been reported for color-deficient observers by using X-Chrom lens, whereas other investigations have found minimal or no beneficial effects. Matsumoto summarized that these discrepancies may in part be due to the different color tests that have been used to assess vision [72]. In general,

48 35 improvements in performance have been reported for evaluations performed with pseudoisochromatic plates. Other tests, including FM-100, Farnsworth D-15, have shown minimal or no effects of X-Chrom lens.

49 Chapter 3 Design of the Study and Methodology Apparatus The experiments were carried out in Penn State s Lighting Lab in University Park, PA. Two rooms enclosed on three sides, with nominal dimensions of 10 feet (width) 12 feet (depth) 9 feet (height), were built adjacent to each other. The walls were painted with Munsell N8 spectrally neutral paint. The rooms were enclosed with a black felt curtain behind the subject and out of his or her field of view. 2 feet 2 feet acoustical tiles were used for the ceiling and gray carpeting was placed on the floor. Four 8-foot indirect pendant luminaires were installed in each room, suspended 15 inches below the ceiling. Baffles made of white foam core were placed on the luminaires to prevent subjects from seeing lamps directly (Note: the baffles were not needed to shield a direct view of the linear fluorescent lamps, but were needed to shield the view of screw-based LED lamps that were also mounted in the luminaire. The LED lamps are for a related study, but not reported here). Two RevLF and two SPX3K lamps were installed in each luminaire, which were connected to Lutron Hi-lume 3D ballasts. Figure 3-1 shows the installation of the lamps, luminaires, and baffles. The lamps in the luminaires in each room were mirrored (i.e. SPX3K lamps were installed on the left side on each luminaire in the left room and on the room side on each luminaire in the right room). Lutron Grafik Eye QS interfaces were used to control the lamps, with one control system for each room. The physical properties of the two rooms were as near to each other as possible so that we could isolate SPD as the only variable.

50 37 Figure 3-1 Photograph of the installation of the lamps, luminaires and baffles For the session on perceived brightness, a table was positioned against the dividing wall, such that when the subject was seated his or her sagittal plane aligned with the middle of the two spaces. The subject was seated with his or her head positioned in a chin and forehead rest. Eye height was approximately 46.5 inch above the floor, varying slightly with the size of a subject s head, which was computed based on the 95 th percentiles of the static dimensions of the U.S. civilian population [73]. The subject was instructed that he or she was free to rotate his or her head within the rest, but to focus on the back walls of the rooms when making judgments. A view from behind the subject s seated position is shown in Figure 3-2.

51 38 Figure 3-2 A view from behind the subject s seated position in the session on perceived brightness For the session on color discrimination, a table with neutral grey top was placed in the center of the room 9 feet from the back wall. The height of the table was 2.5 feet above the floor, where the subject performed the color discrimination task. The subject was free to move and adjust the height of the chair to sit comfortably. The color discrimination task was presented in the center of the table to match the place where calibration measurements were taken. All of the color discrimination experiments were carried out in the right room. A view from behind the subject s seated position is shown in Figure 3-3.

52 39 Figure 3-3 A view from behind the subject s seated position in the session on color discrimination 3.2 Subjects 60 subjects were recruited, 30 in each age group. The younger group was 25 years or younger and the older group was 60 years old or greater. All subjects in the younger group were recruited via an distribution list that includes students at the University Park campus of Penn State University. Most of them were students in Architectural Engineering. All of them were studying disciplines other than lighting. All subjects in the older group were recruited from the residents of The Village at Penn State, a retirement community in State College, PA. They were recruited with a flyer sent to the front desk of The Village at Penn State. Interested residents selected an available time-slot and signed-up with the receptionist. There were no criteria to exclude participants except age. Each subject was paid $75.

53 40 The recruitment materials and experimental procedures were approved by Penn State s Institutional Review Board (IRB #35919). Each subject was assigned a randomly generated fourdigit ID to maintain confidentiality. Table 3-1 summarizes demographic data for the subjects, including the mean age, age range, gender, number of subjects with cataract surgery, and number of subjects with abnormal vision. None of the subjects had knowledge about the lamps that were used in the experiment. Table 3-1 Demographic summary of the subjects. (Of the 3 subjects in the older group with abnormal color vision, all of them had had cataract surgery) Age Group Number of Subjects Average Age (Range) Std. Dev Gender Number of Subjects with Cataract Surgery Number of Subjects with Abnormal Color Vision Younger ( 25 years of age) (19-24) Males 11 Females 0 1 Older ( 60 years of age) (61-92) Males 19 Females Independent Variables Independent Variables for Perceived Brightness For the session on perceived brightness, the independent variables were age group, spectral power distribution (SPD), and illuminance. The RevLF and the SPX3K were employed to provide two different SPDs. A StellarNet EPP2000c spectrometer was used to measure the SPDs, from 380 nm to 780 nm with 5 nm increments. The remote integrating sphere was positioned on the table where the subject was

54 41 seated for the session on perceived brightness. The opening of the integrating sphere was oriented up. The SPDs used in analysis were derived from the average of the measurements taken at different times during the course of the experiment with one light setting in either room, which provided a best description of the stimuli viewed by the subjects. Figure 3-4 shows the average SPDs measured by the spectrometer and Table 3-2 is the summary of the characteristics of the two SPDs. 120% 100% SPX3K RevLF 80% Relative Output 60% 40% 20% 0% Wavelength (nm) Figure 3-4 The SPDs of the two stimuli the SPX3K and the RevLF - each an average of measurements

55 Table 3-2 Characterization of the average SPDs for the SPX3K and the RevLF 42 SPD CCT (K) CRI 1931 CIE 2 chromaticity coordinates (x, y) 1976 CIE 2 chromaticity coordinates (u, v ) SPX3K (0.436, 0.387) (0.258, 0.513) RevLF (0.449, 0.377) (0.273, 0.512) Illuminance levels for the perceived brightness sessions were selected to find the illuminance ratio of RevLF to SPX3K, at which the rooms were perceived as equally bright. The Lutron Grafik Eye QS system was employed to dim the fluorescent lamps. Four scenes with illuminance levels of 240 lux, 270 lux, 300 lux, and 330 lux, were programmed for the SPX3K. At each of these four illuminance levels for the SPX3K, four scenes were programmed for the RevLF, with percent of the SPX3K illuminance corresponding to 80%, 90%, 100%, and 110%, as shown in Table 3-3. The reason for selecting these ratios is discussed in Statistical Design for Perceived Brightness. All illuminance levels are typical for interior spaces under photopic vision. In all, there were ten different illuminance levels (each corresponding to a scene, or light setting ) for the RevLF since some scenes could be reused for different levels of the SPX3K. For example, 330 lux was one scene for the RevLF, which is both 110% of 300 lux and 100% of 300 lux. Totally, 14 different scenes were designed for the session on perceived brightness, as summarized in Table 3-4. A series pairs of light settings were presented to each subject to judge in the session on perceived brightness, as described in Statistical Design for Perceived Brightness.

56 Table 3-3 Horizontal illuminance programmed for the SPX3K and the RevLF 43 Horizontal Illuminance of the SPX3K (lux) Horizontal Illuminance of the RevLF at different illuminance ratios (lux) 80% 90% 100% 110% Table 3-4 Summary information of light settings and nominal calibration characteristics. Both rooms required and identical set of light setting, for a total of 28 light settings, each corresponding to a scene programmed into one of the two Lutron Grafik Eye controllers No. of Setting SPD Horizontal Illuminance (lux) 1 SPX3K SPX3K SPX3K SPX3K RevLF RevLF RevLF RevLF RevLF RevLF RevLF RevLF RevLF RevLF 363

57 44 Each light setting was separately calibrated in each room to be as close to the target illuminance as possible. On each experiment day, all lamps were turned on more than one hour before arrival of the first subject. Before running the first subject and after the last subject of the day, two Minolta T-10 illuminance meters were used to measure the illuminance in each room and to verify the calibration settings. Both meters were calibrated immediately prior to this study and NIST traceable calibration certificates are on file. The calibration and measurement procedures were identical for both rooms. Within one of the rooms, one meter was oriented up and positioned on a tripod centered in the room with the photocell 2.5 feet above the floor and 9 feet from the back wall, corresponding to where the subject performed the color discrimination task. The other meter was positioned on a tripod 6 feet from the back wall, oriented vertically, and aligned with a point 46.5 inch above the floor in the center of the back wall of the room, since this corresponded to the viewing plane that each subject was asked to focus on when making brightness judgments. Figure 3-5 is a photograph taken during calibration. The horizontal illuminance measurements were used for calibration; the vertical measurements were taken to verify the similarity of the luminance distribution in the two rooms. Table 3-5 shows the mean and standard deviation for each of the 14 light settings in both rooms, summarizing the horizontal and vertical illuminance measurements.

58 45 Figure 3-5 Photograph of the calibration during the course of the experiment Table 3-5 Average and standard deviation of the illuminance of the light settings measured in each room No. of Left Room Illuminance (lux) Right Room Illuminance (lux) Setting Horizontal Vertical Horizontal Vertical Ave St. Dev. Ave St. Dev. Ave St. Dev. Ave St. Dev

59 As mentioned above, SPDs were also measured at different times during the course of the experiment. All chromaticity coordinates, which were computed from the SPDs, are enclosed by a four-step MacAdam Ellipse, as shown in Figure 3-6. Thus, the stimuli in each room were similar to the other over the duration of the study; all subjects experienced comparable conditions. y SPX3K RevFL Blackbody Locus SPX3K Left Room SPX3K Right Room RevFL Left Room RevFL Right Room x Figure 3-6 Chromaticity coordinates plotted in the 1931 CIE chromaticity diagram for all measurements. The coordinates for each measurement can be enclosed by a four-step MacAdam Ellipse. The measurements were taken at different times during the course of the experiment for one of the light settings in one room each time

60 3.3.2 Independent Variables for Color Discrimination 47 For the session on color discrimination, age group and SPD were the independent variables with a fixed horizontal illuminance of 300 lux on the desktop. 300 lux was chosen in part because it is recommended by IES for common visual tasks. It is also at the low end of the range employed by Boyce and Simons, who found that illuminance did not affect color discrimination as characterized by the FM-100 test when illuminance was in the range of 300 to 1200 lux [66]. In addition to the SPX3K and RevLF, a third light setting was created with Soft White LED lamps. 3.4 Dependent Variables Dependent Variables for Perceived Brightness For the perceived brightness sessions, a series of pairs of light settings were presented to a subject. The subject was instructed to give a forced choice, that is, to judge which light setting of the pair appeared brighter. If the subject declared that the two stimuli were the same, the experimenter instructed him or her to make a choice. The choice made by the subject was the dependent variable for these sessions Dependent Variables for Color Discrimination For the session on color discrimination, each subject completed the Farnsworth Munsell 100 Hue Test (FM-100) under each light setting. Though the FM-100 was originally created to characterize defective color vision, it is a suitable task to characterize color discrimination ability; it covers the complete hue circle, can be easily scored, is readily available, and has a proven track record. Each subject completed the FM-100 test under a Soft White LED light setting, in addition to the SPX3K and RevLF light settings, for a total of three tests.

61 48 The FM-100 consists of 85 color caps, which are presented in four trays. The two end caps of each tray are fixed, while the rest of the caps are shuffled on the table. The subject is instructed to arrange the caps in color order for each tray, making a regular color change between the two end caps. The back of each cap has a number corresponding to the correct order. The arrangement of the caps is graded by Total Error Score (TES), which is the sum of scores for all the individual caps. The score for an individual cap is the sum of the differences between the number of that cap and the numbers of the two adjacent caps minus two. For example, if three caps are arranged as 3-6-5, the error score for cap 6 would be (6-3)+(6-5)-2=2. Furthermore, TES can be divided into two Partial Error Scores (PESs), red-green (R-G PES) and blue-yellow (B-Y PES). The R-G PES is the sum of the error scores of cap 13 to 33 and 55 to 75 and the B-Y PES is the sum of the error scores of cap 1 to 12, 34 to 54, and 76 to 85. The scores associated with these caps characterize color discrimination ability for red-green and blue-yellow colors, respectively. The lower the TES and PES, the better the color discrimination ability. Thus, TES, R-G PES, and B-Y PES were the three dependent variables for the color discrimination sessions. 3.5 Statistical Design Statistical Design for Perceived Brightness In the session on perceived brightness, each illuminance level of the SPX3K was compared with the four illuminance levels of the RevLF, with RevLF to SPX3K illuminance ratios of 80%, 90%, 100%, and 110%. Subjects always judged pairs of light settings, with SPX3K illumination in one room and RevLF illumination in the other, or, for the null condition trials, identical illumination in both rooms. To determine the illuminance ratio of RevLF to SPX3K where brightness was perceived to be equal, two regression lines can be computed based on percentages of subject votes for the brighter

62 49 light setting of a pair. This analysis method is further described in 3.6 Experimental Procedures. When considering a single paired comparison, it would have been undesirable to have all subjects vote for the same light setting of the pair all the time. This would occur if the brightness differences were very obviously different, for example by presenting twice as much illuminance in one room versus the other. Such data would also be indeterminate because it would skew the slope of the regression lines and the location of the intersection points. To avoid this situation, three pilot studies were completed before the main experiment to study different illuminance ratios and to fix those used in the main study. The increments of the pilot study were RevLF to SPX3K illuminance ratios of: Pilot 1, 60%, 80%, 100%, 120%; Pilot 2, 70%, 85%, 100%, 115%; and Pilot Study 3, 80%, 90%, 100%, 110%. A separate analysis, not provided, showed that nearly 100% of the responses favored the higher illuminance when ratios of 60%, 70%, 115%, and 120% were employed. In the pilot study where 10% increments (i.e. 80%, 90%, 100%, 110%) were employed, it became more difficult for the subjects to make the judgments, and different judgments for the same pairs of light setting appeared. These increments were therefore employed for the full study. The stimulus frequency bias is a possible bias for side-by-side brightness ranking evaluation mode. The stimulus frequency refers to the distribution of comparison illuminances above and below the illuminance at which equal brightness is expected. If the distribution is fairly balanced, having the same number of illuminances above and below the illuminance for equal brightness, both stimuli will be selected as brighter on a near equal frequency. However, if the distribution is not balanced, having unequal number of illuminances above and below the illuminance for equal brightness, one stimulus will tend to be selected brighter more frequently than the other. And the subjects would tend to respond as the frequency was balanced, which would suggest a difference

63 50 between two stimuli when it does not exist [74]. In this study, it was expected that the illuminance ratio of RevLF to SPX3K was between 90% to 100% for equal brightness, so the same number of ratios were required to above or equal 100% and below or equal 90%. In order to counter a possible positional bias associated with the side-by-side method, all pairs of SPX3K and RevLF light settings were presented in left-right and right-left scenarios, as shown in Figure 3-7. Thus thirty-two pairs were compared between SPX3K and RevLF for each subject, with eight for each illuminance level of SPX3K. Another eight null conditional pairs were presented to each subject comprised of four pairs for SPX3K and four pairs for RevLF. For the null condition trials, the same light setting was presented in both rooms, as shown in Figure 3-2, such that the response should be based on chance. Each session began with four practice trials, in which the subject was free to ask questions and became familiar with the process. In total, each subject made 44 force choice comparisons (4 practice trials + 32 comparison trials + 8 null condition trials). The practice trials were not randomized; they were instead purposely selected to present the range of conditions the subject would experience, including the largest illuminance ratio difference and a null condition trial. Figure 3-7 Example of light settings provided for counter-balance

64 3.5.2 Statistical Design for Color Discrimination 51 In the session on color discrimination, each subject finished three FM-100 tests, with one under each SPD at 300 lux (Note: subjects also performed the FM-100 test under Soft White LED illumination. Data for that experiment are not reported here). The order of the SPD was randomized, and under each SPD, the order of the four trays presented to each subject was also randomized. 3.6 Experimental Procedures This study was approved by Penn State s Institutional Review Board (IRB #35919). Upon arrival, subjects read a brief description of the experiment, signed an informed consent form, and filled out a general information survey which included a question about whether or not they had cataract surgery. The Keystone Visual Skills Test and the 24 Plate Ishihara Color Vision Test were administered. One male in the younger group, and two males and one female in older group had abnormal results in the Ishihara Test. After vision screening, the light settings in both experimental rooms were switched to the first experiment condition for color discrimination. Before entering the room, the subject experienced a washout period of two to three minutes, during which they sat in a windowless room illuminated to 300 lux by 3000K linear fluorescent lamps. Once the washout period was complete, the subject was escorted into the right room where he or she sat at the table. After listening to the instruction read by the experimenter, one of the four FM-100 trays was brought into the room and the caps were shuffled on the table in front of the subject. The instructions were always read from a script to minimize the variation between subjects. After the experimenter left the experimental room, the subject was instructed to start arranging the caps. There was no time limit for the subject to finish each tray, but he or she was given a notification at two minutes.

65 52 When the subject indicated that he or she had finished arranging the caps, the next tray was brought in and the previous was taken to be recorded by the experimenter. The order of the trays shown to the subject was randomized. After finishing all four trays under the first light setting, the subject was instructed to step out of the room to complete the three-minute washout period and the light settings in both rooms were switched to the next light setting. The washout period also allowed for the stabilization of the lighting system. After the washout period, the subject returned into the room to perform the next FM-100. After the session on color discrimination, the table used for FM-100 test was removed. Another three-minute washout period was required. The subject sat outside the experiment room in a windowless room illuminated to 300 lux with 3000K linear fluorescent lamps, during which the lamps in both rooms were set at full output to assist with stabilization. Then the subject was escorted through the felt curtain and seated at the table, which was set against the diving wall between two rooms. He or she was instructed to adjust the height of the seat to comfortably place his or her head in the chin and forehead rest. Next, the experimenter read the instructions and answered questions raised by the subject. The instructions were always read from a script. After four practice trials, the recorded trials began. The experimenter advanced the light settings to the next pair according to a pre-written script. The subject was instructed to close his or her eyes when the lamps were changed to the next pair. This was so that he or she would not compare the new setting to what was previously seen, and instead focus only on the side-by-side comparisons. This also helped to ensure that the lamps were stable when the subject first viewed the pair. After several seconds the subject was instructed to open his or her eyes, then to simply observe while holding judgment for at least 30 seconds to allow for adaptation to the new settings. The experimenter prompted the subject after 30 seconds, but he or she was allowed to take as much

66 53 time as necessary to judge which room appeared brighter. The subject was instructed to make his or her judgment only based on brightness rather than color difference. The experimenter recorded the subject s response on a form, before moving to the next pair. After finishing all 40 pairs, the light settings in both rooms were changed to 330 lux, with RevLF in one room and SPX3K in the other. After 30 seconds, the subject was instructed to stand up and walk into the rooms. He or she was free to walk back and forth and look around between both rooms and to judge which room he or she preferred. Specific evaluation criteria were not given to the subject. The experimenter recorded the subject s response and also the reason for the preference, as explained by the subject. There was no time limit for the subject to make this judgment or to share observations with the experimenter. The entire procedure took between 1.5 and 2 hours.

67 Chapter 4 Analysis and Results Data Reliability: Null Condition Trials and Tests for Bias As shown in Table 3-5, the average horizontal and vertical illuminance in the left room and right room were not identical. Across all light settings, the mean horizontal and vertical illuminance in the left room were 2.07 lux and 0.63 lux lower than the right room at the calibration point. By presenting all pairs of light settings in both rooms, the effect of the difference was distributed evenly across all stimuli. Null condition trials were included to establish the prevalence of bias. The results of these tests are shown in Table 4-1. Overall, the subjects chose the left room 48 percent of the time in the null condition trials. None of the null condition trials had bias, with the p-value for the Chi-Square Goodness-of-Fit Test larger than Even only considering subjects in each age group, none of the null condition trials had a p-value smaller than The largest difference in horizontal illuminance among null condition trials between two rooms was 5.28 lux, corresponding to 2.2% of the calibration target; and the largest difference in vertical illuminance was 3.03 lux, corresponding to 1.8% of the calibration target. These measurements and statistical findings suggest that the two rooms were very close to each other over the duration of the experiment.

68 Table 4-1 Summary data for null condition trials showing percentages of left/right selected. None of the trials in either age group had a p-value smaller than 0.05; p-values are only shown for the overall (i.e. age group pooled) category 55 Null Condition Trials SPD Horizontal Illuminance (lux) Left/Right Age Group Younger Older Overall SPX3K 240 Left 43% 43% 43% SPX3K 240 Right 57% 57% 57% SPX3K 270 Left 50% 53% 52% SPX3K 270 Right 50% 47% 48% SPX3K 300 Left 57% 43% 50% SPX3K 300 Right 43% 57% 50% SPX3K 330 Left 57% 47% 52% SPX3K 330 Right 43% 53% 48% RevLF 240 Left 40% 43% 42% RevLF 240 Right 60% 57% 58% RevLF 270 Left 57% 57% 57% RevLF 270 Right 43% 43% 43% RevLF 300 Left 40% 47% 43% RevLF 300 Right 60% 53% 57% RevLF 330 Left 43% 40% 42% RevLF 330 Right 57% 60% 59% p-value of the Chi-Square Goodness-of- Fit test Combined null condition trials Left 48% 47% 48% Right 52% 53% 52% Since the experimental design for the perceived brightness sessions provided complete counterbalancing, random chance suggests that there should have been an even number of selections for left/right among all subjects judgments. When disregarding the null condition

69 trials, the left room was selected as brighter 48 percent of the time, which was not statically different from 50 percent (Chi-Square Goodness-of-Fit Test, p = 0.110) 56 Because of the experimental design, the position (left/right) of the light setting should have been independent from the selection made by the subjects. Considering all 16 pairs of light settings with SPX3K in the left room and RevLF in the right room, the left room was selected 447 times and the right room was 513 times. For the counterbalanced pairs, with RevLF in the left room and SPX3K in the right room, the left room was selected 478 times and the right room 482 times. The Chi-Squared Test of Independence between SPD and location fails to reject the null hypothesis of independence (p = 0.959). Figure 4-1 provides the data structure for this test when all comparisons are pooled and Table 4-2 provides individual values for each paired comparison. Left Location Right Sum SPD RevLF SPX3K Sum Figure 4-1 Example of Chi-Squared test of independence between SPD and location (results for all the pairs are summarized in Table 4-2)

70 Table 4-2 Summary of results for Chi-Squared test of independence. The SPD and location are statistically independent (p-value>0.05) 57 Pairs of Light Settings Number of Selection Pairs of Light Settings Number of Selection Left Right Left Right Left Right Left Right p-value of Chi- Squared test of independence SPX3K 240 lux RevLF 192 lux 54 6 RevLF 192 lux SPX3K 240 lux SPX3K 240 lux RevLF 216 lux RevLF 216 lux SPX3K 240 lux SPX3K 240 lux RevLF 240 lux RevLF 240 lux SPX3K 240 lux SPX3K 240 lux RevLF 264 lux 5 55 RevLF 264 lux SPX3K 240 lux SPX3K 270 lux RevLF 270 lux RevLF 270 lux SPX3K 270 lux SPX3K 270 lux RevLF 297 lux 3 57 RevLF 297 lux SPX3K 270 lux SPX3K 270 lux RevLF 216 lux RevLF 216 lux SPX3K 270 lux SPX3K 270 lux RevLF 243 lux RevLF 243 lux SPX3K 270 lux SPX3K 300 lux RevLF 270 lux RevLF 270 lux SPX3K 300 lux SPX3K 300 lux RevLF 300 lux RevLF 300 lux SPX3K 300 lux SPX3K 300 lux RevLF 330 lux 4 56 RevLF 330 lux SPX3K 300 lux SPX3K 300 lux RevLF 240 lux 52 8 RevLF 240 lux SPX3K 300 lux SPX3K 330 lux RevLF 297 lux RevLF 297 lux SPX3K 330 lux SPX3K 330 lux RevLF 330 lux RevLF 330 lux SPX3K 330 lux SPX3K 330 lux RevLF 363 lux 6 54 RevLF 363 lux SPX3K 330 lux SPX3K 330 lux RevLF 264 lux 57 3 RevLF 264 lux SPX3K 330 lux Total Total

71 58 Though bias is unavoidable in any experiment, these tests and analyses suggest that the biases derived from the apparatus, calibration, and experimental design were minimal. All judgments made by the subjects should be based upon their perception of the light stimuli. 4.2 Perceived Brightness Judgments made by subjects were recorded as left or right. These data were converted to binary digits for the statistical analysis, with 0 presenting a vote for SPX3K and 1 for RevLF. The inverse presentation (for example, Light Setting 1 on the left versus Light Setting 6 on the right, and Light Setting 6 on the left versus Light Setting 1 on the right) were combined into one data set, since, as shown above, the location of the stimulus did not affect the judgments made by the subjects. The counts in each pair were summed and the percentage values computed. Thus, for each illuminance level of the SPX3K, four percentage values of the subjects votes for the RevLF were computed (i.e. one for each illuminance ratio), as summarized in Table 4-3. Since the subject gave a forced-choice response for each pair of light settings, the sum of percentages for each pair is 100%. Table 4-3 and Table 4-4 summarize the percentage of votes for the younger and older groups. All the counts in these two tables, except two counts in the shaded cells, are statistically different from chance according to the Chi-Square Goodness-of-Fit Test (p > 0.05). Percentage of votes versus illuminance ratio is plotted for each illuminance level of SPX3K, with Figure 4-2 for younger group and Figure 4-3 for older group. These figures include two regression lines per plot, one for each lamp type. The illuminance ratio for equal brightness at each illuminance level of SPX3K can be interpolated as the intersection of the regression lines. This point represents the illuminance ratio at which we would expect 50% of the votes for

72 RevLF, and 50% of the votes for SPX3K. Figure 4-2 and Figure 4-3 are plots of the data in Table 4-3 and Table 4-4, with one for each tabulated row of data. 59 Table 4-3 Percentage of votes in younger group at different illuminance levels of SPX3K Illuminance Level of SPX3K Percentage of Votes for a SPD at Different Iilluminance Ratios RevLF SPX3K 80% 90% 100% 110% 80% 90% 100% 110% % 23.3% 73.3% 88.3% 93.3% 76.7% 26.7% 11.77% % 28.3% 63.3% 86.7% 93.3% 71.7% 36.7% 13.3% % 28.3% 70.0% 90.0% 90.0% 71.7% 30.0% 10.0% % 18.3% 75.0% 90.0% 91.7% 81.7% 25.0% 10.0% Overall 7.9% 24.6% 70.4% 88.8% 92.1% 75.4% 29.6% 11.2% Table 4-4 Percentage of votes in older group at different illuminance levels of SPX3K ( The shaded cells in emboldened values represent results that are not statistically different from chance according to the Chi-Square Goodness-of-Fit test with p-values > 0.05) Illuminance Level of SPX3K Percentage of Votes for a SPD at Different Illuminance Ratios RevLF SPX3K 80% 90% 100% 110% 80% 90% 100% 110% % 40.0% 78.3% 86.7% 81.7% 60.0% 21.7% 13.3% % 40.0% 80.0% 90.0% 83.3% 60.0% 20.0% 10.0% % 31.7% 83.3% 91.7% 86.7% 68.3% 16.7% 8.3% % 36.7% 76.7% 93.3% 91.7% 63.3% 23.3% 6.6% Overall 14.2% 37.1% 79.6% 90.4% 85.8% 62.9% 20.4% 9.6%

73 60 120% 120% 100% 100% Percentage of Votes 80% 60% 40% Percentage of Votes 80% 60% 40% 20% 20% 0% % Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (a) (b) 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (c) (d) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-2 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for younger group (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux)

74 61 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (a) (b) 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (c) (d) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-3 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for older group (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux)

75 Table 4-5 Summary of the regression lines and hypothesis testing for the plots of younger and older groups 62 Age Group Illuminance of SPX3K (lux) Regression Results for the Percentage of Votes for RevLF Regression Model R 2 Illuminance Ratio at the Intersection Point Mean of the Illuminance Ratios p-value of testing Equal Slopes Equal Intercepts 240 y = ln(x) % 95.1% Younger y = ln(x) y = ln(x) % 95.7% 97.1% 94.5% 95.1% y = ln(x) % 95.0% 240 y = ln(x) % 92.0% Older y = ln(x) y = ln(x) % 91.8% 93.2% 92.6% 92.4% y = ln(x) % 93.1% Table 4-5 summarizes the regression models. The illuminance ratios for equal brightness at each illuminance of SPX3K were computed. For the subjects in the younger group, the illuminance ratios of RevLF to SPX3K range within 94.5% to 95.7%; and for the subjects in the older group, the ratios range within 91.8% to 93.1%. Within each group, the four regression lines are not

76 63 statistically different from each other (all p-values for testing equal slopes and intercepts are larger than 0.05), which is also supported by the ANOVA results that show that illuminance ratio was not a significant factor affecting the percentage of votes. It is possible to pool the data from these four illuminance levels of the SPX3K for each age group, as shown in the last rows in Table 4-3 and Table 4-4. Figure 4-4(a) and (b) plots and regression lines for the younger and older subject groups using the pooled data. A Student s Paired Sample t-test suggests a statistical difference in the percentage of votes between the younger and older age groups, indicating a different illuminance ratio for equal brightness. The illuminance ratios of the intersection points are 95.1% for the younger group and 92.4% for the older group. 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (a) (b) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-4 Plot of percentage of votes versus illuminance ratios (a. younger age group; b. older age group)

77 64 Thus, within an illuminance range of 240 to 330 lux, these data suggest that equal brightness will occur in an environment illuminated with RevLF when they provide 5% (for occupants of ~ 20 years) and 8% (for occupants of ~ 80 years) lower illuminance than a similar environment illuminated with SPX3K. More than likely, for occupants between the ages of 20 and 80, the illuminance could be lowered within the range of 5 to 8%. Since the trends were so stable at 240, 270, 300 and 330 lux, and because all of these are conditions of photopic adaptation, we would expect to find similar ratios over a wider range of photopic conditions. Cataract Surgery Twenty of the subjects in the older group had had cataract surgery and their responses can be analyzed against those that had not. Summary tables and figures are provided as Figure 4-6, Figure 4-7, Table 4-6, and Table 4-7. Table 4-6 Percentage of votes of 10 older subjects without cataract surgery at different illuminance levels of SPX3K Illuminance Level of SPX3K Percentage of Votes for a SPD at Different Illuminance Ratios RevLF SPX3K 80% 90% 100% 110% 80% 90% 100% 110% % 40.0% 75.0% 90.0% 80.0% 60.0% 25.0% 10.0% % 40.0% 70.0% 95.0% 85.0% 60.0% 30.0% 5.0% % 20.0% 90.0% 95.0% 85.0% 80.0% 10.0% 5.0% % 35.0% 80.0% 95.0% 90.0% 65.0% 20.0% 5.0% Overall 15.0% 33.8% 78.8% 93.8% 85.0% 66.2% 21.2% 6.2%

78 Table 4-7 Percentage of votes of 20 older subjects with cataract surgery, including three with abnormal color vision, at different illuminance levels of SPX3K 65 Illuminance Level of SPX3K Percentage of Votes for a SPD at Different Illuminance Ratios RevLF SPX3K 80% 90% 100% 110% 80% 90% 100% 110% % 40.0% 80.0% 85.0% 82.0% 60.0% 20.0% 15.0% % 40.0% 85.0% 88.0% 82.0% 60.0% 15.0% 12.0% % 38.0% 80.0% 90.0% 87.0% 62.0% 20.0% 10.0% % 38.0% 75.0% 93.0% 92.0% 62.0% 25.0% 7.0% Overall 13.8% 38.8% 80.0% 88.8% 86.2% 61.2% 20.0% 11.2% 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% Illuminance Ratio (RevLF / SPX3K) 0% Illuminance Ratio (RevLF / SPX3K) (a) (b)

79 66 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX3K) Illuminance Ratio (RevLF / SPX3K) (c) (d) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-5 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for the older subjects without cataract surgery (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux) 120% 120% Percentage of Votes 100% 80% 60% 40% 20% 0% Illuminance Ratio (RevLF / SPX 3000K) Percentage of Votes 100% 80% 60% 40% 20% 0% Illuminance Ratio (RevLF / SPX 3000K) (a) (b)

80 67 120% 120% 100% 100% Percentage of Votes 80% 60% 40% 20% Percentage of Votes 80% 60% 40% 20% 0% 0% Illuminance Ratio (RevLF / SPX 3000K) Illuminance Ratio (RevLF / SPX 3000K) (c) (d) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-6 Plot of percentage of votes versus illuminance ratios at different illuminance levels of SPX3K for the older subjects with cataract surgery (a. 240 lux; b. 270 lux; c. 300 lux; d. 330 lux)

81 Table 4-8 Summary of the regression lines and hypothesis testing for the plots of subjects with and without cataract surgery 68 Cataract Surgery Illuminance of SPX3K (lux) Regression Results for the percentage of votes for RevLF Regression Model R 2 Illuminance Ratio at Intersection Point Mean of the Illuminance Ratios p-value of testing Equal Slopes Equal Intercepts 240 y = ln(x) % 91.8% Without cataract surgery y = ln(x) y = ln(x) % 92.5% 84.7% 92.7% 92.4% y = ln(x) % 92.7% 240 y = ln(x) % 92.0% With cataract surgery y = ln(x) y = ln(x) % 91.4% 96.3% 92.4% 92.2% y = ln(x) % 93.1% Table 4-8 summarizes the regression models. The illuminance ratios for equal brightness at each illuminance of SPX3K were computed. For the subjects without cataract surgery, the illuminance ratios of RevLF to SPX3K range within 91.8% to 92.7%; and for the subjects with cataract surgery, the ratios range within 91.4% to 93.2%. Within each group, four regression lines are not

82 69 statistically different from each other (all p-values for testing equal slopes and intercepts are larger than 0.05), which is also supported by the ANOVA results that show that illuminance ratio was the only factor affecting the percentage of votes. It is possible to pool the data from these four illuminance levels of the SPX3K for each group, as shown in the last rows in Table 4-6 and Table 4-7. Figure 4-7 (a) and (b) plot the data and regression lines for the older subjects with and without cataract surgery using the pooled data. A Student s Paired Sample t-test suggest no statistical difference in the responses of the older subjects with and without cataract surgery, indicating the same illuminance ratio for equal brightness. Irrespective of whether or not the older subject had cataract surgery, the illuminance ratio for equal brightness is 92.4%, which is statistically different from 100%. To conclude, within an illuminance range of between 240 to 330 lux, these data suggest that equal brightness will occur in an environment illuminated with RevLF when they provide about 8% lower illuminance than the SPX3K for occupants with a mean age of ~ 80. This result was not affected by whether or not the older subject had cataract surgery.

83 70 120% 120% 100% 100% Percentage of Votes 80% 60% 40% Percentage of Votes 80% 60% 40% 20% 20% 0% 0% Illuminance Ratio (RevLF / SPX 3000K) Illuminance Ratio (RevLF / SPX 3000K) (a) (b) Percentage of votes that stated RevLF brighter than SPX3K Percentage of votes that stated SPX3K brighter than RevLF Log. (Percentage of votes that stated RevLF brighter than SPX3K) Log. (Percentage of votes that stated SPX3K brighter than RevLF) Figure 4-7 Plot of percentage of votes versus illuminance ratios (a. older subjects without cataract surgery; b. older subjects with cataract surgery) Preference 67% of the younger subjects and 73% of the older subjects preferred the room illuminated by the RevLF when they stepped into the rooms. No difference was found between preference of the two age groups (Chi-Squared Test of Independence, p = 0.573). The difference between the preference for the room illuminated by the RevLF versus the SPX3K was significantly different (Chi-Square Goodness-of-Fit test, p = 0.002). Color preference and brightness were cited as the major reasons for this preference.

84 4.3 Color Discrimination 71 Total Error Score (TES), Red-Green Partial Error Score (R-G PES), and Blue-Yellow Partial Error Score (B-Y PES) were recorded for each subject under each light setting. The results were analyzed using the Minitab 15 statistical software packages. The average of TES, R-G PES, and B-Y PES of the subjects with normal color vision in each group under each light setting are given in Table 4-9. Figure 4-8 (a) is a graph of younger group under each light setting, including 95% confidence interval bars; Figure 4-8 (b) is a graph of the older group. Table 4-9 Summary of the results of FM-100 of the subjects with normal color vision in each age group under each light setting Age Group SPX3K RevLF R-G PES B-Y PES TES R-G PES B-Y PES TES Younger Older TES B-Y PES RevLF SPX3K R-G PES (a)

85 72 TES B-Y PES RevLF SPX3K R-G PES (b) Figure 4-8 The mean Total Error Score (TES), Red-Green Partial Error Score (R-G PES), and Blue-Yellow Partial Error Score (B-Y PES) of the subjects with normal color vision in each age group for the FM-100 under each light setting, shown with individual 95% confidence interval bars The higher the error score, the worse the color discrimination performance. Figure 4-8 illustrates that younger subjects performed better than the older subjects under both light settings. And visually, R-G PES was decreased and B-Y was increased under illumination provided by RevLF. However, there was not a large difference in TES between the two light settings. ANOVA SPD, age group, and cataract surgery were considered as factors affecting R-G PES, B-Y PES, and TES. The ANOVA tables are shown in Table 4-10, Table 4-11, and Table These tables are interpreted by looking at the p-value; when it is smaller than 0.05 the null hypothesis of no effect can be rejected with 95% confidence.

86 73 These results suggest that age and cataract surgery are significant factors affecting color discrimination performance on the FM-100 test for subjects with normal color vision, including discrimination ability for red-green colors, yellow-blue colors, and the overall performance. The older subjects always had worse performance than the younger subjects. This result provides statistical confirmation of the plots given in Figure 4-8. This result is consistent with previous results found by others [66, 68, 69]. Table 4-10 Analysis of variance for R-G PES Source Df Seq SS Adj SS Adj MS F p-value Cataract Age <0.001 SPD Error Total Table 4-11 Analysis of Variance for B-Y PES Source Df Seq SS Adj SS Adj MS F p-value Cataract <0.001 Age <0.001 SPD Error Total Table 4-12 Analysis of Variance for TES Source Df Seq SS Adj SS Adj MS F p-value Cataract <0.001 Age <0.001 SPD Error

87 74 Total Student s Paired Sample t-test In order to improve the precision of the analysis, Student s Paired Sample t-tests were employed for subgroups of the sample: younger subjects; older subjects with cataract surgery; and older subjects without cataract surgery. Each subject was regarded as a block in these analyses. Table 4-13 summarizes the results of these analyses. Table 4-13 Summary of the results of Student s Paired Sample t-tests Group N Student s Paired Sample t-test Mean Difference (RevLF minus SPX3K) t-value p-value Younger subjects Older subjects with cataract surgery Older subjects without cataract surgery R-G PES <0.001 B-Y PES TES R-G PES B-Y PES TES R-G PES B-Y PES TES Clearer results can be drawn from the Student s Paired Sample t-tests: The RevLF was able to decrease the Red-Green Partial Error Score (i.e. improve the color discrimination ability for red and green colors of the FM-100 test) in comparison to

88 75 the SPX3K for the subjects below 25 years of age and the subjects with cataract surgery above 60 years of age. No statistically significant effect was found between the RevLF and SPX3K on overall color discrimination ability or the ability to discriminate blue and yellow colors. Color-deficient Subjects Four subjects in this study were tested to have abnormal color vision, with one in the younger group and three in the older group. Table 4-14 summarizes the FM-100 results of the colordeficient subjects in each age group. Though some differences can be observed between two SPDs, the sample size was not large enough to make statistically sound inferences. Table 4-14 Summary of the results of FM-100 of the color-deficient subjects in each age group under each light setting SPX3K RevLF Age group R-G PES B-Y PES TES R-G PES B-Y PES TES Cataract Surgery Younger Older Figure 4-9 (a) graphs the error scores for the older subjects with cataract surgery under each light setting, with 95% confidence interval bars; Figure 4-9 (b) is a graph of the older subjects without cataract surgery. Cataract surgery was a significant factor affecting color discrimination ability. The subjects with cataract surgery performed better than those without cataract surgery, having lower R-G PES, B-Y PES, and TES.

89 76 TES B-Y PES RevLF SPX3K R-G PES (a) TES B-Y PES RevLF SPX3K R-G PES (b) Figure 4-9 The mean Total Error Score (TES), Red-Green Partial Error Score (R-G PES), and Blue-Yellow Partial Error Score (B-Y PES) of the subjects in older group for the FM-100 under each light setting, shown with individual 95% confidence interval bars.

90 Chapter 5 Discussion Perceived Brightness The benefits of the RevLF, in terms of brightness-per-lumen and enhanced red-green color discrimination, can be considered in terms of the opponent process of the visual system established by De Valois [75], as shown in Figure Output Red-Green Opponent Blue-Yellow Opponent RevLF SPX3K -2.5 Wavelength (nm) Figure 5-1 Neural Opponent Signals & SPDs of two lamps The SPX3K has little energy within the green spectral region from 500 to 550 nm. Modification on this spectrum to help the RevLF SPD increase the red-green opponent-process signals (Figure 5-2(a)), while slightly reducing the blue-yellow opponent-process signals (Figure 5-2(b)). By scaling the two lamps to provide the same amount of lumens, the ratio of the total red-green opponent-process signals of RevLF to SPX3K is 1.22 and the ratio of the total blue-yellow is 1.01.

91 Signal Wavelength (nm) (a) Signal Wavelength (nm) (b) SPX3K RevLF Figure 5-2 Opponent signals adapted to the SPX3K and the RevLF ( a. Red-green opponent signal; b. Blue-yellow opponent signal )

92 Table 5-1 Lighting metrics and colorimetric properties of two SPDs. The calculations were based on the average SPDs. Metrics SPX3K RevLF CIE 1931 Chromaticity X Coordinate CIE 1931 Chromaticity Y Coordinate CCT CRI R CQS [76-78] CCT Factor [76-78] Fiedlity Index [76-78] Preference Index [76-78] Relative Gamut Area of 15 Color Samples [76-78] S/P FM Gamut CDI Gamut Area of 8 Color Test Samples of CRI Luminous Efficacy of Radiation u' v' Cone Surface Area [79] Guth [36] Thornton [30] Howett [80] Some have suggested that CCT is a good predictor of brightness perception, with the belief that higher CCT illumination will be perceived as brighter [23]. Hu and Houser demonstrated that

93 80 CCT and brightness perception are not related [28], and recent work reasserts that they are not related [48]. Although this study did not set out to demonstrate a specific hypothesis about CCT, it provides further evidence that environments illuminated with lamps of lower CCT can be perceived as brighter than environments illuminated with lamps of higher CCT when V(λ)-based quantities are equal. In a review of lamp color properties and brightness perception, Fotios concluded that rooms illuminated with lamps of higher CRI would appear brighter than those illuminated with lamps of lower CRI when CCT is similar [29]. However, his analysis also suggested that no general relationship existed between CRI and brightness perception. The ratio of scotopic to photopic lumens (a.k.a. S/P ratio) has been promoted by some to predict brightness perception, using the expression P(S/P) 0.5 [81]. Houser and his colleagues illustrated the failure of this expression to predict the brightness perception [48]. The results found in this study indicate 95% and 92% illuminance ratio of RevLF to SPX3K will have equal brightness, which is supposed to have equal P(S/P) 0.5 for two lamps based on this theory. The ratios of the P(S/P) 0.5 of RevLF to SPX3K are 1.04 and 1.01 for these two illumiannce ratios, which are not significantly different from 1. Sometimes, P(S/P) 0.5 can be used to predict brightness, like the lamp pairs used in this study, but it cannot support the theory that P(S/P) 0.5 is a good predictor of brightness. Boyce proposed an equation based on the gamut area of the eight CIE test sample colors employed in the computation of CRI as a predictor of the illuminance ratio of two lamps that will yield equal brightness perception [82]: E 1 E 2 = log 10 ( G 1 G 2 ) Where E 1 E 2 is the illuminance ratio of two lamps;

94 G 1 and G 2 are the gamut areas of the two lamps. 81 The illuminance ratio of RevLF to SPX3K computed from this equation is 96.5%. Though there is some difference between the results from this equation and from this study, this study still supported that the lamps having larger gamut area of the eight CIE test sample colors are perceived brighter. Both of the S/P ratio and the Gamut Area theory are correctly predicting the direction of the brightness perception, but the magnitudes of the improvement are not accurate. Thornton established the prime color theory, which first evolved from his work in fluorescent lamp development, and was later refined with his experiments that employed heterochromatic and Maxwell method color matching. One form of heterochromatic brightness matching employs two visual-fields and four spectral lights, two in each visual-field. Consider any three randomly selected spectral lights that do not form a line on a chromaticity diagram. If two illuminate one visual field (i.e. the reference field), and the third is placed in the other visual field (i.e. the test field), a fourth spectral light must be added to the test field in order to create a visual match. Thornton showed that when the two illuminants are visually matched in brightness and color by adjusting the relative powers of the four spectral lights, the least amount of power is required when that fourth (variable) spectral light it is at or near 450, 530, or 610 nm. He coined the term prime-color for these three spectral regions, and suggested that these represent the peak underlying spectral sensitivities of the eye-brain system [83]. In this same body of work, Thornton identified the intermediate spectral regions at or near 500 and nm as being deleterious to brightness and the ability to make color matches. These spectral regions required the greatest amount of power to make visual matches. He coined the term anti-prime for these spectral regions [84]. Thornton noted that the anti-prime spectral region near 580 nm was

95 82 especially harmful to color and brightness perceptions [32]. Perhaps counterintuitively, his results suggest that removing optical radiation from this spectral region would enhance color and brightness perception, which is incompatible with the additivity of luminance. Both of the RevLF and the SPX3K lamps have spectral peaks at 435 and 610 nm, which are near the nominally blue and red-orange prime-color spectral regions. The SPX3K also has peaks at 490, 545, and 585 nm, while the RevLF has two peaks at 515 and 545 nm. After scaling the SPD of the SPX3K and RevLF to produce the same amount of lumens, the power contained within the SPD of the SPX3K lamp from 450 to 600 nm is 1.08 times the power of the RevLF. The peaks of the SPX3K SPD that are near 490 and 585 nm are near the anti-prime spectral regions. Conversely, the two peaks of the RevLF SPD are near the central prime-color region, which, according to Thornton s prime-color theory, maximizes brightness perception per watt of optical radiation. The findings in this study are consistent with Thornton s prime-color theory. Three linear brightness models are also listed in Table 5-1, all of which are based on the opponent-process model of the visual system. Guth and Thornton s models failed to predict the direction of the brightness trend that we found. These linear brightness models were developed more than 25 years ago. It is now widely agreed that brightness perception is non-linear. Still, even a non-linear model should be expected to correctly order SPDs presented at constant luminance, the relationship between opponent signals and perception of brightness needs further investigation. As people age, the visual system changes gradually, including changes to the lens, vitreous and aqueous humors, retina, and range of pupil dilation and constriction. These changes should be expected to affect brightness perception, color discrimination, visual acuity, and non-visual biological responses. The transmittance of the lens is an especially important consideration,

96 83 especially in the short wavelengths. Our data suggests that the RevLF lamp would be more beneficial, in terms of brightness perception, to seniors than to younger people RevLF. This may be because the RevLF emits proportionally more radiation in short-wavelength region, which may explain why the older subjects required lower illuminance for equal brightness, in comparison to the younger subjects. Cataract surgery is the removal of the natural lens of the eye. An artificial intraocular lens implant is inserted into the eye after the surgery. This lens removal and replacement increases transmittance, but this improvement in optical performance is not the only change. The biological performance of the eye may also be improved, such as a reduction in dry eye [85]. Ikeda mentioned that it was natural to suppose that the older people above 71.9 years of age had the cataract in their eyes, though it might not be clear in the ophthalmoscope test [86]. Ikeda asked one subject to perform heterochromatic brightness matching before and after cataract surgery [86]. Some differences were found between the results before and after the surgery on the right eye, while no difference was found on the left eye. Kitakawa showed that the length of time after the cataract surgery affects the color appearance of the objects to the subjects, especially due to optical radiation in the short-wavelength region [87]. Different types of intraocular lenses have different transmission properties. All of these factors may contribute to the fact that cataract surgery had no effect on the illuminance ratio for equal brightness in this study. The efficacy of a lamp is defined as the ratio of the total luminous flux emitted by the lamp to the total input power, which is expressed in lumens per watt (lm/w). For most conventional light sources, lamp efficacy is the product of three components: radiant efficiency, radiation efficiency, and luminous efficacy of radiation (LER). The radiant efficiency is defined as the ratio of the

97 84 radiant power to the total power consumed by the lamp. The radiation efficiency is defined as the ratio of the radiant power in the visible region to the total power radiated by the lamp. LER is defined as the ratio of the total luminous flux emitted to the total power within the visible region. LER depends only on the SPD of the lamp in the visible spectrum. The LER of the RevLF lamp is 94% of the LER of the SPX3K lamp. Coupled with the result that the RevLF required 5 to 8% lower illuminance than the SPX3K for equal brightness, the RevLF could theoretically provide equivalent brightness perception with 11 to 14% fewer watts, but only if the conversion efficiency of both lamps were equivalent. However, the efficacy of the RevLF lamp is only 79% of the SPX3K lamp. On the basis of brightness perception per input watt, the advantage brought by the SPD of the RevLF is not offset by its lower efficacy. Said another way, though a room illuminated with RevLF lamps requires a lower illuminance than a room illuminated with SPX3K lamps when equal brightness is desired, the lower illuminance still requires more power. Though brightness is an important criterion for design, it may not always be the sole or even primary consideration. Preference is important too. After the side-by-side comparison of brightness, each subject stepped into the rooms to evaluate personal preference. The question heard by the subjects was which room do you prefer, so the responses and reasons given by the subjects should reflect the subjects overall impression and feeling. Most subjects preferred the room illuminated by the RevLF, citing color and/or brightness. The major reasons given by those who preferred the room illuminated by the SPX3K were the same: color and brightness. Most of the subjects who preferred the color of the room illuminated by the SPX3K were Asian, since they generally prefer higher CCT [88]. Some of the subjects who preferred the room illuminated by the SPX3K stated that the room illuminated by the RevLF was too bright. The illuminance

98 85 level was 330 lux when the subjects were asked to make a choice based on preference, which was the highest illuminance employed in the study. It is possible that a higher percentage would have preferred the room illuminated by the RevLF lamps if the forced choice comparison was made at an illuminance of 300 or 270 lux. Both the brightness comparisons and preference judgments took place in a neutral grey environment, with grey walls, white ceilings, and grey carpet. The RevLF does not only increase the red-green opponent signals (which likely contributes to increased brightness perception), it also increases the red-green color contrast of lighted objects. If the evaluations had been performed in a colorful environment, it is possible that the RevLF would have had an even greater advantage. It is plausible that the same level of clarity and satisfaction could be reached at a lower illuminance with a lamp type having SPD that enhances chromatic contrast by enhancing the opponent signals. Such visual phenomenon have the potential to reduce energy if they can be achieved at the same conversion efficiency as lamp designs optimized for V(λ) and CRI. 5.2 Color Discrimination No statistical difference of TES was found between the RevLF and SPX3K lamps for either age group, indicating similar color discrimination performance as characterized by the FM-100 test. CDI, CRI, Gamut Area, and Farnsworth Munsell (FM) Gamut Area for the RevLF and SPX3K lamps are listed in Table 5-1, predicting unequal colorimetric performance. The failure of the CRI, CDI, or FM Gamut Area to predict TES is consistent with the results found by Royer and his colleagues, who found that neither CRI, CDI, or FM Gamut Area was able to correctly order, let alone correlate with, the TES of the FM-100 test under four types of illumination (i.e. two types of linear fluorescent, tri-band LED, halogen). They questioned the concept of using gamut area to characterize color discrimination [63].

99 86 R 9 is one of the special indices in the CRI system; it is intended to characterize the ability of an illuminant to render saturated reds. The SPX3K has an R 9 value of -2, while the RevLF has a value of 29. The difference in R 9 indicates that the RevLF illumination is more similar to the blackbody reference than the SPX3K illumination. Fidelity index and preference index are two special indices in the CQS system established by NIST [76-78]. Fidelity index is calculated without the saturation factor; while the preference index gets credit for increase of saturation. By comparing the fidelity indices and the preference indices of the two lamps, it can be seen that the RevLF gets more benefit when saturation is considered. Figure 5-3 illustrates the gamut areas of the 85 FM samples under SPX3K and RevLF illumination in the CIE 1960 UCS; the two lamps shift the gamut area in different ways. The SPX3K shifts and expands the gamut toward violet / blue and yellow, while the RevLF shifts and expands the gamut toward red. The difference between the gamut areas in the red region is sharper than that in the violet / blue and yellow regions. The sharpness of the regional gamut differences may account for why the R-G PES was statistically better under RevLF illumination, but the B-Y PES was not.

100 v SPX3K RevLF Illuminant C Spectrum Locus u Figure 5-3 FM Gamut Area shown in the CIE 1960 UCS for the RevLF, the SPX3K, and CIE Illuminant C ( Illuminant C is the reference source under which the samples have approximately equal spacing) The 85 FM-100 samples have approximately equal spacing under Illuminant C in the CIE 1960 UCS. A sudden change in the direction in the CIE 1960 UCS between adjacent caps is a likely cause of a sorting error. Figure 5-4 shows the chromaticity coordinates of FM-100 samples 13 through 33, which are the green caps, illuminated by RevLF and SPX3K illumination. It is apparent that there are several sudden changes in direction when these caps are illuminated by SPX3K lamps, which likely contributed to the higher error scores in these caps. For all other caps, the changes in direction are similar under SPX3K and RevLF. The standard deviations of the spacing between the red-green caps also indicate a large difference between RevLF and