The relative efficiency of two tests as a function of ability level

A new formula is developed for the relative efficiency of two tests measuring the same trait. The formula expresses relative efficiency solely in terms of the standard errors of measurement and, surprisingly, the frequency distributions of true scores. Approximate methods for estimating relative efficiency may make this function routinely available. A numerical illustration compares new and old estimates of relative efficiency for subtests from the Scholastic Aptitude Test.Research reported in this paper has been supported by grant GB-32781X from National Science Foundation.     

The perception of eye contact

Ss made judgments of whether or not they were being looked in the eye as an E fixated several points on and off their faces.Distance between sender and receiver, sex, and whether the sender made a sequence of fixation sprior to the terminal fixation were variables of interest. The sender-receiver distance produced less effect than predicted from the hypothesis that receiver judgments were determined solely by the discrepancy between the sender’s iris/sclera configuration (ISC) during true eye contact and the current fixation point. There was no stable differencein accuracy as a function of whether the sender’s terminal fixation was preceded by other fixations or not. These findings cast doubt on the belief expressed in recent studies that the ISC can be used to accurately discriminate eye gazes from other gazes. The results also suggest that fixations on some portions of the face yield a judgment of eye contact which might be predicted on the basis of social experience.     

Implicit Religion: A Contemporary Theory for the Relationships between Religion,State, and Society

This article demonstrates that the term ‘implicit religion’ provides an effective way to explore some of the philosophies and ideologies common to church, state, and society and to explain the mutual influence of traditional religion, civil religion, and folk religion in the creation of a national identity. Examples of church–state interactions from three continents are provided and variations in the definition of a national church are discussed. The effect of these variations on cross-cultural studies in religion, state, and society are assessed. The article concludes by examining the potential of the construct of implicit religion for bridging the different historical and cultural understandings of religion.     

Biased Assimilation: Effects of Assumptions and Expectations on the Interpretation of New Evidence

People so readily generalize that they often 'know' in advance what they are going to like and what they are going to dislike. They develop assumptions and expectations, which in part determine their future evaluative responses. Biased assimilation occurs when perceptions of new evidence are interpreted in such a way as to be assimilated into preexisting assumptions and expectations. Because this bias may not be deliberate, people suspect the motives of others who do not share their evaluations, and the bias is difficult to overcome. Biased assimilation most likely occurs, however, because acting as though one's assumptions and expectations are correct is generally more adaptive than acting as though one's assumptions and expectations might be wrong. Therefore, overcoming a general tendency toward biased assimilation is not necessarily desirable.     

Unbiased estimators of ability parameters,of their variance,and of their parallel-forms reliability

Given known item parameters, unbiased estimators are derived i) for an examinee's ability parameter and for his proportion-correct true score, ii) for the variances of and across examinees in the group tested, and iii) for the parallel-forms reliability of the maximum likelihood estimator .This work was supported in part by contract N00014-80-C-0402, project designation NR 150-453 between the Office of Naval Research and Educational Testing Service. Reproduction in whole or in part is permitted for any purpose of the United States Government.     

Statistical bias in maximum likelihood estimators of item parameters

Asymptotic formulas are derived for the bias in the maximum likelihood estimators of the item parameters in the logistic item response model when examinee abilities are known. Numerical results are given for a typical verbal test for college admission.     

Maximum likelihood estimation of item response parameters when some responses are omitted

A theoretical model is given for dealing with omitted responses. Two special cases are investigated.This work was supported in part by contract N00014-80-C-0402, project designation NR 150-453 between the Office of Naval Research and Educational Testing Service. Reproduction in whole or in part is permitted for any purpose of the United States Government.     

Some determinants of behavioral contrast in pigeons and rats

In Expt. 1, pigeons trained on a multiple variable interval, extinction schedule, showed a positive contrast effect by comparison with control groups trained with S+ only, provided that the interval between stimulus presentations was short (10 sec), but not when it was long (60 sec). Positive contrast also occurred more readily with an easier discrimination, and its appearance was highly correlated with the temporary appearance of transient contrast effects. Although a longer interval between trials produced an overall increase in rate of responding in subjects trained only with S+, it was suggested that this at best represented a different type of contrast effect. In Expt. 2, rats showed positive contrast to S+ when S− was correlated with a lower frequency of reinforcement, but not when it was correlated with a reduced magnitude of reinforcement. The results were discussed in terms of frustration theory.     

A study of speed factors in tests and academic grades

Speeded and unspeeded tests of vocabulary, spatial relations, and arithmetic reasoning were factorially analyzed, together with certain reference tests and academic grades. Lawley's maximum likelihood method was used, the computations being carried out on the Whirlwind electronic computer. Four different speed factors were isolated, together with a second-order general speed factor. Consistent small positive correlations between the academic grades and the speed factors were found.The writer is indebted to Dr. John French, to Dr. David Saunders, and especially to Dr. Ledyard R Tucker for helpful suggestions and theoretical advice throughout the course of this study. The active cooperation of Dr. William Shields, Educational Advisor, and of many others at the United States Naval Academy at Annapolis has been invaluable. The author is very grateful to Dr. P. Youtz and Dr. C. W. Adams for the opportunity to use Whirlwind I, a high-speed computer sponsored by the Office of Naval Research, and to Dr. H. Denman for help is programming and in putting the program on the computer. He also wishes to express his deep appreciation to Dr. Hubert Brogden and Miss Bertha Harper of The Adjutant General's Office for the opportunity to use their matrix rotator and for helpful guidance in its operation.