Tests of symmetry in three-way contingency tables

Three-dimensional contingency tables are analyzed, with one variable (e.g., sex) as a factor, and with a natural relation between the other variables (e.g. left and right eye vision). Models of special interest, like symmetry and proportional symmetry between the related variables, and homogeneity across the factor levels, are investigated. Maximum likelihood estimators of parameters and partitions of chi-square goodness-of-fit statistics are explicitly presented; the independence of certain models is noted, and an example is discussed.     

In defence of a ratio model for movement detection at threshold

Sutherland (1961) proposed that the detection of motion might depend upon the ratios of firings in cells sensitive to movement in opposite directions. Sekuler and his collaborators have argued that the notion of a ratio mechanism at threshold is wrong. The findings and arguments upon which this conclusion was based are challenged, an explicit model is described which provides an account of data previously held to be inconsistent with a ratio model, and an experiment is reported which provides unequivocal support for the ratio model and whose findings are inconsistent with the predictions from Sekuler's “independence” model.     

Studies in social influence: V. Minority influence and conversion behavior in a perceptual task

The effects of influence attempts by a majority and by a minority were examined on both a manifest response level and a latent perceptual level. Female subjects were exposed to a series of blue slides that were consistently labeled as green by a female confederate. The confederate was presented as a member of either a majority or a minority. On each trial, subjects were required to indicate the color of the slide presented and the color of the afterimage perceived on a white screen following removal of the slide. It was predicted that (a) the subject's judgment of the chromatic afterimage would be modified when the influence agent represented a minority, and (b) this modification will be more pronounced when the source of influence is absent than when it is present. The results supported the prediction in both the main study and its replication.     

The effect of alcohol on male aggression toward female targets

This study attempted to determine the effects of alcohol, verbal provocation, and target strategy on male aggression toward female targets. Intoxicated and nonintoxicated male research participants competed with a female confederate in a reaction time task designed to measure aggression. Intoxicated participants responded more aggressively than did nonintoxicated participants. Verbal provocation had no effect on participants' aggressive response. Effects of target strategy and trial outcome lent support to a cognitive disorganization interpretation of the effect of alcohol on aggression.     

A two-year follow-up study of a preventive mental health program for preschoolers

The long-term effects of a preschool intervention program for high-risk experimental children were assessed and compared to a high-risk placebo control group and low-risk normal controls. Seventy first-grade children were involved in this 2-year follow-up. The experimental treatment group was superior to that of the placebo control group at follow-up on the criteria measures of behavioral adjustment and achievement. The low-risk normal control group was significantly different from that of the placebo control groups, but generally not significantly different from that of the experimental groups, suggesting that the intervention had boosted the high-risk experimental treatment children to the point where their performance was comparable to that of children who had not experienced behavioral or learning difficulties.The study was supported by grants from the McGregor Fund and the Eloise and Richard Webber Foundation, and by the Detroit Public Schools, for which the authors express grateful appreciation. A version of this paper was presented at the Annual Meeting of the American Psychological Association, New York, September 1979.     

A note on sufficient conditions that a common factor will be determinate in an infinite domain of variables

It is proved for the common factor model withr common factors that under certain condition s which maintain the distinctiveness of each common factor a given common factor will be determinate if there exists an unlimited number of variables in the model each having an absolute correlation with the factor greater than some arbitrarily small positive quantity.The author is indebted to R. P. McDonald for suggesting the proof of Guttman's determinantal equation for the squared multiple correlation in predicting a factor from the observed variables used in the parenthetical note.