On the form and location of the Psychometric Bisection Function for time

The Psychometric Bisection Function for time relates the discriminability of intermediate duration stimuli to a short and long training duration. Bisection Functions for animals (R. M. Church & M. Z. Deluty, Journal of Experimental Psychology: Animal Behavior Processes, 1977, 3, 216–228) confirm Weber's Law and also show indifference between short and long reports at the geometric mean of the training durations. Two discrimination processes are studied which, in combination with different constructions of the subjective time scale, result in Bisection Functions which differ in form and location. The two discrimination processes use a likelihood ratio rule or a similarity rule to compare intermediate durations to the training durations. These rules in combination with two different constructions of the subjective time scale result in four models which conform to Weber's Law. For one of the scales subjective time is a power function of real time with the scalar property on variance (Scalar Timing). For the other, subjective time is a logarithmic function of real time with constant variance (Log Timing). Both Log and Scalar Timing assume normality on the subjective scale. Only three of these models also entail the geometric mean at the indifference point. The exception is Scalar Timing with the likelihood ratio discrimination rule. This model entails indifference at approximately the harmonic mean of the training stimuli. Variants of the remaining three models differ theoretically but alternatives are difficult to discriminate empirically. A contrast is provided by a Poisson Timing subjective scale in which variance increases directly with the mean. This scale results in indifference at the geometric mean for both discrimination rules but violates Weber's Law in both cases.     

Atttudes and behavior: Implications of attitudes toward behavioral alternatives

The relationship between attitudes and behavior was considered. An attitudinal model of behavioral alternatives was presented and its applied and theoretical implications explicated. Three investigations were reported that tested the initial viability of the approach. Support for the model was observed in all three investigations.     

The air gap phenomenon in children's landscape drawings

The “air gap” phenomenon was found to be very common in the free landscape drawings of middle and later childhood. Three experiments are reported in which the contextual cues for such drawings were systematically manipulated. When subjects were supplied with drawing sheets constructed to imply the absence of the air gap, the phenomenon was eliminated in most of their drawings. When supplied with sheets constructed to imply its presence, most subjects produced air gap drawings using contextually provided reference lines. There were no consistent transfer effects across different cuing orders. The susceptibility of the air gap phenomenon to modification by task manipulation suggests that it results from problems of production rather than from defects in the child's internal representation of the world.     

The relationship of sex and sex role to trait and situationally specific anxiety types

While considerable research has investigated the relationship of sex and/or sex role to general or trait anxiety, little is known about their relationship to more specific anxiety types. Based on the postulate that sex and sex-role differences may depend on the extent to which an anxiety-producing situation represents a sex-stereotypic domain, the present study compared their relationships to four measures of anxiety: Math anxiety, test anxiety, and two measures of trait anxiety. Subjects were 180 undergraduate students enrolled in introductory psychology courses. Although females reported higher levels of anxiety on all four scales than did males, a discriminant function analysis indicated that math anxiety was the strongest contributor to the separation of the sexes. Significant score differences as a function of sex role were found using the STAI A-Trait scale, and a significant sex × sex-role interaction was found for scores on the S-R Inventory of Anxiousness. Feminine-typed males and undifferentiated females reported highest anxiety levels in comparison to same-sex individuals. Implications for the understanding and treatment of both general and situationally specific anxiety are discussed.     

Factors underlying the social readjustment rating scale

The Social Readjustment Rating Scale (SRRS) was administered to 185 subjects whose age ranged from 21 to 61 yr. The responses were factor analyzed for a principal axis solution followed by isopromax oblique rotation. All the items were loaded and clustered under five factors labeled as follows: (1) personal growth, maturation, and renewal; (2) tension and uncertainty; transitions in personal or occupational situations; (3) changes in one's usual routine and relationship; (4) significant changes in family or mirriage; and (5) personal catastrophies. Males scored significantly higher than females on factors 4 and 5. There were no age differences in the obtained scores. The finding of the factorial structure was thought to add credence to the scale especially in view of past criticism. Implications for future research were also discussed.     

Concurrent validity of the WISC-R factor scores

This study investigated the efficacy of predicting academic achievement as measured by the Wide Range Achievement Test using the factor scores of the Wechsler Intelligence Scale for Children-Revised as potential predictors. Both instruments were administered to 200 school children referred for psychological evaluations. Factor scores for the WISC-R were computed according to equations provided by Gutkin (1978). These factor scores then were regressed in a stepwise manner on the Reading, Spelling, and Arithmetic standard scores from the Wide Range Achievement Test. Stepwise regressions also were performed using the traditional Verbal and Performance IQs as the potential predictors. A comparison was made between the results obtained by use of the factors or the more common scores. The results indicated that the Freedom From Distractibility factor score significantly aided in the prediction of Reading and Spelling achievement and was of primary importance in predicting Arithmetic achievement. When the stepwise results using the different scores were contrasted, the factor scores accounted for appreaciably more variance in Arithmetic than did the traditional Verbal and Performance IQs. Derived regression equations are reported along with a discussion of the interpretability of the Freedom From Distractibility factor.     

The development of discourse mapping processes: the on-line interpretation of anaphoric expressions

The present research focuses on how children integrate the antecedent of different kinds of anaphor into their on-going interpretation of an utterance, and on the kinds of cues they use to help them to do this. These issues were studied by examining the on-line processing of three types of anaphoric devices—repeated noun phrases, general terms and pronoun anaphors. The data showed that by the age of five, anaphoric mapping processes in general are well-mastered, although all age-groups (5, 7, 10 year olds and adults) found general term anaphors more difficult to interpret. The major developmental differences concerned the processing of anaphoric pronouns. For five year olds, pronouns were primarily interpreted as devices which maintained the thematic subject of the discourse, but when there was no thematic subject they relied primarily on pragmatic plausibility in their assignment of pronominal co-reference. As children get older, they are able to take advantage of the lexical properties of pronouns and all three sources of information—lexical, pragmatic inference and the thematic structure of the discourse—play contributory roles in the assignment of reference to a pronoun.     

Some theory and results for metrics for bounded response scales

In an earlier note, a new metric for bounded response scales (MBR) was introduced which resembles the city-block metric but is bounded above. It was suggested the MBR may be more appropriate than minkowski metrics for data obtained with bounded response scales. In this article, some formal properties of the MBR are investigated and it is shown that it is indeed a metric. Empirical predictions are then derived from the MBR and contrasted with those of a “monotonicity hypothesis,” which holds that dissimilarity judgements tend to be biased towards overestimation of larger distances, and with the predictions of the minkowski metrics, which imply additivity of collinear segments. Some empirical results are presented which contradict the monotonicity hypothesis and the minkowski metrics, and favor the MBR. Finally, the logic used to motivate the MBR is invoked to define a subadditive concatenation for bounded norms in the one-dimensional case, which may be useful in psychophysical work where the upper bounds are often real, rather than due to the response scale. This concatenation predicts understimation for doubling and overestimation for halving and middling tasks.     

A biased random walk model for two choice reaction times

This paper generalizes Stone's (1960, Psychometrika 25, 251–260) random walk model of two choice response times (RTs) that is based on the sequential probability ratio test (SPRT) and that predicts equal correct and incorrect RTs to the same response. The generalized version allows a bias of the type found in signal detection theory to enter directly into the accumulation process so that ambivalent evidence may be seen as slightly favoring one alternative. The resulting biased SPRT model can predict any relation between correct and incorrect mean RTs. In particular, unlike the special symmetric case of Link and Heath's (1975, Psychometrika 40, 77–105) relative judgment theory (RJT), the biased SPRT model can predict that correct mean RTs are faster for one response but slower for the other. The biased SPRT model, the classical SPRT model, and the symmetric RJT model are all fit to the data of an RT deadline experiment reported by Green and Luce (1973, Attention and performance, New York: Academic Press) and it is shown that, of the three, the biased SPRT model provides the best account. Finally, a method for incorporating the same sort of bias into RJT models is sketched out.