LETTER (Sanitized)

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CIA-RDP78B04770A000700040008-4
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RIPPUB
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K
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6
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December 28, 2016
Document Release Date: 
October 28, 2004
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8
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Publication Date: 
August 13, 1963
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LETTER
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Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Here are a few comments and suggestion* regarding study of the correlation between subjective judgements and objective measures of photographic image qu?lity. I auk very much In agreement with the ultivete goals Of the work- Is doing, so please consider gay comments and sug- gentions in light of my sympathetic attitude toward his =work. In other words, if I sound excessively critical, ettribvte the sound to my Interest and desire to encourage and help him--assuming that I can help. 1. The magnitude of any obtained correletis n will limited not only by the discriminability of th stimuli, i.e., the subjects' skill in d.i.atinguishing among them, but also by the reliability of the subjects' judgments. If, for example, the test- retest reliability, i.e., the correlation between successive sets of judgments made by the some subjects with a month or so intervening between judgmental ssesaicns, turns out to be zero, no statistically significant correlation between them and objective, physical reassures can be expected. If the test-retest reliability of the judgments as indicated by the correlation between suceeessivo sets of judgments turns out to be .5, the maxisun correlation that can be obtained between the judgments and the objective measures of image quality is about .7, assuming the objective measures are perfectly reliable. The point of this discussion is that an effort should be made to determine the teat-retest reliability of the Judgments of quality. The same subjects should perform the judgmental task twice with a month or so between judgmental sessions so Declass Review by NGA. Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 usst 13, 1 n 2 that they will not recall their first judgment: of specific atiusuli. The obtained reliability coefficient will indicate the extent to which the correlation between subjective and objective seasures is attenuated by a lack of reliability. Further, it will Indicate the worth of subjective judgments as criteria of image quality. An I recall, ?rani, you too wanted to see a reliability study done. u. My second comment concerns the psychophysical procedure and the data analysis. The two cannot be considered entirely independently, for the psycho- physical procedure used will limit the number of appropriate analysis techniques available. (I don't know how intends to analyze the data or what kind of correlation he plane to compute, no to some extent I'm shooting in the dark here.) As the procedure is currently designed, the subjects can use almost any number of judgment al c:e>tegi iris in assessing photo image quality. And because of individual differences in d1arriminability and attitudes; toward the task, you will find some subjects using 4 or 5 categories and others uGing 9 or 10 or possibly more categories. Consequently the resulting data cannot be combined too conveniently to arrive at a single regression equation and corre- lation coefficient based or the judgments of all subjects. Instead, as I see it, one equation and coefficient will have to be computed for each subject or for small groups of subjects that, fortuitously, ended up using the same number of judgment categories. It would be more convenient from a st*tisstica point of view if all subjects wore required to sort the photos in a specific number of categories, say 7 or 9, ranging from "beet" through "a v S r a3 e" or "median'' to "poorest" inage quality. I am not aware of the number of physical steps used in generating timuluss materials (or the approximate number of just noticeable differences"--find's--from ono end of the physical scale to the other, which could only be determined empirically) an t can't guess tea well about the number of judgmental categories the subjects might be able to use reliably. But, in any came, If a specific number of judgment categories were used, the data from all subjects could be plotted as follomss Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 August 13, 1983 Page 3 ategorical Judgments of Image Physical Measure (in units of blur or graininess.) The total number of entries in the table would be the product of the number of subjects and the number of stimuli judged. From the table a coefficient of contingency could be computed. Or if the assumpti could be met (or reasonably ignored) a product-moment correlation could be computed. (As I mentioned before, I don't know how intends to analyze the data. F1e may be aware of some techniques that I'm not familiar with, or I may not understand his research goals. In either cease, these comments might be entirely irra.evan:t. ) From a psychophysical point of view, the most sensi- tive judgmental technique in a study such as this is the method of pair comparisons. The subjeets simply compare two stimuli at one time and respond by indicating which is poorer and which is better quality. Every stimulus is compared at least once with every other stimulus, and that's the limitation of the method. With a stimuli, there are An-1) s 2 possible pairs, which cen result in a burdensome judgmental task. I don't know precisely how the stimulus mntsr ; la were prepared. L don't know whether blur and rraini- nose were varied independently or simultaneously. If Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 .ugus 7, IVF3 Page 4 they were varied independently, there might be, for example, 7 levels (sagnitudes) of blur at the same level of graininess. There would then also be 7 levels of graininess at the same level of blur, yielding a minimum of 14 stimuli. On the oth'r hand, if they were varied simultaneously, all levels of blur would occur at each level of graininess, and vice versa. With 7 levels of each variable, nizaul- ta neously varying them would produce a minimum of 49 s t i m u l i. This involved, and probably unclear, discusssi?f has relevance. I think, for the manner in which the judgments of quality are obtained. If blur and graininess were varied independently, shouldn't they be treated independently in obtaining the judgiesstss / of quality? They are probably not equally related to judgments of quality; they are probably not equally difficult to discriminate; and, thus, judg- ments of quality as a function of blur, on the one hand, and graininess, on the other, are probaaty not equally reliable. If blur and graininess were varied simultaneously in preparing the stimulus materials, an experimental design should be selected which would permit the experimenter to determine the relative contributions of each physical variable to judgments of quality. I would suggest an analysis of variance design, which implies the necessity of numerically sealed judgments of image quality rather than simple, ranked judgments, and further implies the necessity of developing the scale. Cr, I would suggest as non-parametric analysis of variance such as that described by ssarnor and kc(ill..* The latter design is not as powerful statistically but in a convenient method of handling categorical, rather than scalar, date. I realize, Frank, that this terminology May be foreign to you, but I find I can't express myself without usin it, which is unfortunate. Rut,, hopefully, You and can cut through all of the statistical jargon. y only excuse for the jargon is the fact that experimental psychologists *Garner, W.R. W.J.The relation between information t>sycchometrtha, 195d, 1, 219-226. Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Approved For Re August 13, Page S are continually faced with the omnipresent and profound fact of individual differences and must approach and design experiments using statistical models. 4. Because of the large number of stimuli being judged, I don't see any way of experimentally controlling the effects cue to the order in which they are presented. Significant effects due to order of stimulus presen- tation have been demonstrated repeatedly in psycho physical stork. The only thing I can suggest is that about throe anchor stimuli, one at the middle and adjacent to either and of the judgmental scale be presented first and then the judgments of them not be used in the analysis. The remaining sTir?uli would be shuffled and presented in a different randos order to each subject. In other words, the effects due to order of atinulus presentation would b+- randomized across all subjects. 5. 1 would consider whether or not the subjects should be told In the instructions that the photos differed in blur and graininess, when they are being asked to make a one-dimensional judgment of quality. I an very much Interested in, an for, the study is doing. I to discuss it personally with him, for have communicated too much here. sympathy with the need d like an opportunity wou n .ar that I may not I realize that his work is a first step, but I thi: an important step toward a goal I feel is very such wor seeking: a specification of the relations among physical. measures of photo image quality, subjective measures of image quality,, and objective measures of c?I performance. I foel that such a specification would be exceptionally valuable In all phases of our works materials, collection, processing, and exploitation. sal point of cualificaticu. I showed these comments and suggestions to a fellow in our office here who has specialized in psychophysical research. His reaction was that I have over-simplified the problem. F+owevor, In general, he agrees with me, though he feels what I have said will Bake difficult reading. My apologies. Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4 August 13, Incidentally, Frank, I know I said I would write to ;you a weak ago. Well, I simply have not had an opportunity to write. Work at the office end at hone piles up when I'm in. Pn.ahinvton. This time it piled up at a prodigious ratan. Tie-t refrardt, Approved For Release 2004/11/30 : CIA-RDP78BO477OA000700040008-4