A stochastic theory of matching processes

A theory of matching processes is developed within which serial models and parallel models based on within-stage independent intercompletion times are defined. These models are then specialized to a class of processes possessing exponential intercompletion time densities and equivalence properties of parallel and serial models within this class are investigated. Nonequivalence theorems are proved that designate possible differences in “same” (+) and different (?) matching rates as important in testing parallel and serial models. An experimental paradigm is then derived with the property that if + rates are different from — rates, and if processing is self-terminating, then the parallel and serial models are distinguishable at the level of mean reaction times. The serial class of models that is tested by this paradigm includes a large number of stochastic distributions whose central assumption is additivity of element processing times. The corresponding parallel class of models is currently limited to those assuming exponential intercompletion times. A numerical example and an example of non-parametric relations predicted by the serial or parallel models are given. Some advantages and limitations of the present treatment are discussed.     

An analysis of generative representation systems

Three ideas are basic to generative theory: (a) Subjects are assumed to attend to the relations among stimuli, extracting the transformations relating pairs of stimuli; (b) the set of abstracted transformations is decomposed or reduced to an elementary set of generators; (c) subjects use the elementary generators as the basis for judging similarity. The purpose of this paper is to illustrate these ideas with an experiment in which subjects were asked to rate the similarity between stimulus pairs. The stimulus materials consisted of the permutations of a 4-item pattern with the properties of a dihedral group which insured the existence of sets of elementary transformations. Three analytic techniques were used to determine the generator set of transformations abstracted by subjects. The first analysis consisted of a monotonic regression between dissimilarity ratings and the number of elementary generators of a given permutation. The residual variance of this monotone regression, suitably normalized, was used as a quantitative goodness-of-fit measure. For the stochastic analysis, cumulative distributions of dissimilarity ratings were obtained for permutations requiring one, two, or three generators. The idea was that permutations requiring fewer generators should be associated with distributions of lower dissimilarity values (higher similarity scores) as compared to permutations predicted to be transformationally more complex. The final analysis, a multidimensional scaling of dissimilarity ratings, converted subjects' ratings into spatial structures to determine whether individual subjects' ratings exhibited the predicted spatial arrangement. The monotone regression and stochastic analyses abstracted similar generator sets for individual subjects, some of which provided perfect fits to the data. Although the scaling analysis yielded similar estimates of generators, for some subjects, transformations with the same number of generators yielded unequal “cognitive” distances resulting in some-what deformed spatial structures for these subjects. It was concluded that the results generally supported a generative model as an approximation to subjects' representations of interstimulus relationships.     

Unrealistic vocational choice: A research model

Multimethod factor scores were derived from measures of ACT aptitude, ACT nonacademic achievement and the Omnibus Personality Inventory. A sample of 89 subjects whose freshman major was engineering and whose junior year major consisted of a variety of nonengineering subjects represented subjects who had made an unrealistic vocational choice as freshmen. The junior year majors of these subjects were classified by Holland's theory of vocational choice and the relationship between the factor scores and Holland categories was shown by the technique of spatial configuration. These data were employed to illustrate how counseling practice could be integrated with vocational theory.     

Mental representation of length and weight series and transitive inferences in young children

Forty-eight second graders (8 years of age) were trained on length or weight relationships between adjacent members of a five-term series of colored objects. Feedback was visual and of either minimal or strong salience. Differences in weight were assessed by either a balance scale or a spring scale. Results showed that more salient visual feedback reduced the learning effort for length but not for weight comparisons. After training children were tested on all possible object pairs. Children's comparisons of items by length were very accurate in contrast to their comparisons by weight. An explanation for these findings is suggested by the data from a group of 6-year-olds who were trained on two independent pairs of a four-term series. Test results showed that subjects spontaneously encoded absolute lengths but tended to ignore information about the absolute weight of objects. It is suggested that high test accuracy depends on stimulus material for which the absolute values of the relevant dimension are encoded. The implications for taking test performance as an indicator of “transitive reasoning” ability are discussed.     

An empirical test for Fishburn's additivity axiom

Three experiments were done to test the empirical relevance of Fishburn's (1967) additivity axiom, which says that people should be indifferent between pairs of gambles which satisfy certain conditions specified in the axiom. Each of the experiments consisted of two parts. In the first part, subjects had to evaluate consequences which were used in the second part as possible outcomes in a gamble. In the second part, subjects had to make choices among pairs of gambles. The experiments differed in respect to kinds of consequences and kinds of subjects used. Additivity analysis was applied to the data of the first part of each experiment, using a conjoint measurement model. A Monte Carlo study is included, which provides some hints for the evaluation of the stress coefficients obtained after applying additivity analysis to the empirical data matrices. The data of the second part of each experiment are discussed in respect to their relevance for Fishburn's (1967) additivity axiom. It was not strongly supported by the data, unless for a very restricted situation.     

Serial and within-stage independent parallel model equivalence on the minimum completion time

A set of functional equations is investigated that, when satisfied, yields equivalence on the minimum completion time between serial models and parallel models having the property of within-stage independence. Within these classes of models, it is shown that any parallel model is equivalent to a serial model, but not any serial model is equivalent to a parallel model. The necessary and sufficient conditions for a serial model to have an equivalent parallel counterpart are observed and then two sufficient conditions on the survivor functions that produce this result are exhibited. A number of examples satisfying the various theorems are discussed and a special case leading to an extension of a property of exponential distributions is derived.     

Self-directed attention and the comparison of self with standards

Several theorists have assumed that self-directed attention causes a comparison between one's present behavior or state and whatever is salient and relevant as a standard of comparison. Indirect evidence bearing on this assumption was gathered in a series of four studies by monitoring subjects' tendencies to access concrete information needed to make such behavior-standard comparisons. Self-focus was varied in two of these studies by experimental manipulations: a mirrored surface, and a live observer. In the other two studies, self-focus was operationalized in terms of subjects' dispositional tendencies to direct attention to themselves (self-consciousness). Consistent with expectations, in Experiments 1 and 2, self-directed attention led to increased frequency of referring to drawings of geometric figures when attempting to reproduce them. In Experiments 3 and 4, self-focused attention increased subjects' tendencies to seek out information about ostensible performance norms reflecting the behavior of other subjects, also as predicted.     

A developmental study of facilitation by mnemonic instruction

First- and fourth-grade children, as well as adults, were given mnemonic instructions to image or to verbalize a sentence in order to study either a sentence or a noun pair provided aurally. Uninstructed control subjects also were included at each age level. A test of cued recall evaluated the amount of facilitation by mnemonic instruction in each of the groups. Both types of instruction enhanced children's memory, most notably when verbal pairs served as stimuli. However, whereas first graders under imagery instruction were inferior on pairs relative to sentence stimuli, fourth graders and adults recalled the two stimulus types equivalently. Also, whereas first graders performed at the same level on sentences and pairs under the verbalization instruction, fourth graders were superior on the pairs. These results indicate that greater requirements for subject-generated mediation to some degree penalized the younger subjects and benefited the older ones.     

The relationship between Luce's Choice Axiom,Thurstone's Theory of Comparative Judgment,and the double exponential distribution

Holman and Marley have shown that Thurstone's Case V model becomes equivalent to the Choice Axiom if its discriminal processes are assumed to be independent double exponential random variables instead of normal ones. It is shown here that for pair comparisons, this representation is not unique; other discriminal process distributions (specifiable only in terms of their characteristic functions) also yield a model equivalent to the Choice Axiom. However, none of these models is equivalent to the Choice Axiom for triple comparisons: There the double exponential representation is unique. It is also shown that within the framework of Thurstone's theory, the double exponential distribution, and hence the Choice Axiom, is implied by a weaker assumption, called “invariance under uniform expansions of the choice set.”     

Peripheral information extraction: A developmental examination of reading processes

Three experiments examining the information extraction processes are presented. In Experiments I and II, adults and children were presented paragraphs to read and search for specified targets, respectively. Two types of typographical (spatial) manipulations were used: case of the letters within the paragraphs was as normally experienced, or in alternating upper and lower case letters. Spacing between words was either as normal, filled with a neutral symbol, or absent. The response measures were reading and search speed in words per minute. Sensitivity to case (word shape) and space (word boundary) increased as a function of experience and was different for reading compared with search. In Experiment III subjects were asked to judge whether briefly presented pairs of letters were the same or different. Retinal (spatial) location was varied from trial to trial; dependent measure was reaction time. Results showed a developmental progression in response time with complex interactions. Theoretical interpretations of these data are discussed in support of the initial stage of Hochberg's peripheral to cognitive search guidance model.     

The attribution of friendliness

A study was conducted to explore attributions of friendliness resulting from live interaction. Subjects had either one or two encounters with a confederate whose behavior in each encounter was either friendly or unfriendly and was either spontaneous or forced by role requirements. Single encounter subjects formed impressions of the confederate that reflected the friendliness or unfriendliness of the confederate's behavior but these impressions were not modified by their knowledge that the confederate's behavior was freely chosen or forced. The same was true for subjects who had two friendly or two unfriendly interactions with the confederate. Subjects who found the confederate to be friendly in one encounter and unfriendly in the other formed impressions that took into account the causes of the confederate's behaviors. In general, these subjects modified their impressions according to the cause of the confederate's behavior in the second encounter.     

Information-gathering strategies in hypothesis-testing

Three experiments were conducted to investigate the informational factors affecting the kinds of questions people ask for testing a hypothesis about another's personality. In Experiment 1, subjects formulated by themselves questions to test either the hypothesis that the interviewee is polite or the hypothesis that he is impolite. The boundary of the hypothesis was set either at an extreme or at an intermediate point on the trait dimension. Experiment 2 also varied the location of the boundary, but the hypotheses concerned extroversion-introversion and subjects chose questions from a predetermined list of questions that asked either about extroverted features or introverted features and that were either low or high in diagnostic value. Both studies found that subjects preferred to ask about features that are consistent with the hypothesis only when the boundary was extreme. In contrast, diagnostic features were preferred in all conditions. Experiment 3 showed that subjects' judgment of the diagnosticity of the various kinds of questions for discriminating at different boundaries paralleled subjects' preferences among these questions. These results were interpreted as providing support for the diagnostic strategy in social information gathering.     

Father identification,achievement, and occupational behavior of rural youth

Comparisons were made between the post high school plans and the adequacy of father identification of male adolescents from rural economically deprived areas. The subjects were divided into two groups, low identification males (LIM) and high identification males (HIM) based on independent evaluators' judgments of the adequacy of their fathers. Each group's responses to a questionnaire concerning future plans and aspirations were compared. In general, the hypotheses predicting that HIM subjects have higher levels of aspiration, more self-confidence and greater satisfaction with school experiences were confirmed by the data.     

Traditionality of choice and sex-role identification as moderators of the congruence of occupational choice in college women

This study examined the relationship of traditionality of occupational preferences and sex-role orientation to personality-occupational environment congruence in college women. Three-letter Holland personality codes were obtained for each of 184 college women based on same-sex normative scores from the Strong-Campbell Interest Inventory and on scores from the ACT Unisex Interest Inventory (UNIACT). Subjects' occupational preferences were classified as traditional, moderately traditional, or nontraditional based on the percentages of women in the occupation. Scores on the Bern Sex Role Inventory were used to classify subjects into one of four sex-role categories. Results indicated a strong association between congruence and traditionality of choice; women whose choices were in nontraditional career fields were significantly more likely to be making choices congruent with their personality type than were women choosing traditional career fields. Further, while sex-role orientation was not significantly related to either congruence or traditionality, masculine-typed women were most likely to make nontraditional and congruent career choices, while the majority of feminine-typed, androgynous, and undifferentiated women stated preferences for traditional career fields. Implications for the applicability of Holland's congruence postulate to women's vocational behavior are discussed.     

The role of “irrelevant” derogation in vicarious aggression catharsis: A field experiment

In order to test hypotheses about the occurence of aggression catharsis, a field experiment was conducted in which passengers in taxi cabs served as subjects. En route to each subject's destination, the taxi driver left the cab with the meter operating for an amount of time which resulted in a small or large overcharge (the first independent variable). When the driver returned, subjects read one of four letters which either praised or derogated the driver (the second independent variable) on a relevant or irrelevant dimension (the third independent variable). Subjects' responses confirmed the principal hypothesis on several different atitudinal and behavioral dependent measures: angered subjects tended to complain less often, more often paid the overcharge, and more often left a tip, when they read the irrelevant derogation letter. The results contribute to the delineation of a set of conditions under which vicarious catharsis can be clearly observed.     

Divergent influences of private and public self-consciousness in a compliance paradigm

A study was conducted to test the reasoning that two types of dispositional self-consciousness would be associated with two different influences on compliance behavior. The study utilized a paradigm in which subjects are induced to make incorrect responses on a perceptual task by means of simulated group pressure. Based upon results of previous research, the following predictions were made: that private self-consciousness—the disposition to be conscious of one's thoughts, feeling, and covert self-aspects—would be inversely correlated with compliance; and that public self-consciousness—the disposition to be conscious of one's social self-aspects—would be positively correlated with compliance. The data from the study provided support for both of these predictions. Discussion centers on the theoretical implications of these findings.     

Recognition memory for objects in very young children: The effect of shape and label similarity on preference for novel stimuli

In two studies, 88 children 12 to 38 months of age were briefly shown 24 common objects on familiarization trials. On subsequent test trials, these objects reappeared paired with novel objects. On one-third of the test trials pairs were similar in shape, on another third of the test trials pairs shared a common label, and on the remaining test trials pairs were unrelated. Looking times for each of the two objects on test trials were measured. All but the youngest age group showed significantly longer looking times for novel than for familiar objects for all three kinds of test pairs. However, for 19- to 31-month-olds preference for novel stimuli in the common Label Condition, although significant, was less than preference for novel stimuli when shape was similar or when unrelated stimuli were paired. Recognition in the oldest group was unaffected by condition. The results suggest a developmental period during which label or conceptual similarity has a special significance for recognition, and are discussed within theoretical frameworks concerning the very young child's developing semantic and categorization skills.     

Stevens vs Fechner: A plea for dismissal of the case

Fechner's Law is based on the assumption that jnd's can be concatenated in order to get a measure of sensation. Stevens contended this assumption; he argued that measurement of sensation by measuring jnd's is ‘indirect’. His ‘direct’ methods, however, appear to be much less direct than originally assumed. Especially Stevens' (implicit) assumption that subjects use numbers on an absolute scale appears to be unwarranted. Ratio scaling is therefore nothing more than cross-modality matching between the number scale and another modality. This view has two consequences. Firstly, it is quite natural to find power functions by cross-modality matching, even when Fechner's Law holds for both modalities. Secondly, if Stevens' power law is true, there will be an overestimation of all exponents by a factor 2.5. All typical power functions will be concave downward after correction for this effect. The discussion boils down to a discrimination between two quite similar curve families: log functions and power functions with an exponent below 0.6. The practical significance of this discussion is doubted.     

Foreperiod and stuttering severity effects on acoustic laryngeal reaction time

An earlier paper presented a model of the laryngeal reaction time (LRT) paradigm that included several factors that appeared to affect LRT values. The present study assesses the effects of two of these factors: foreperiod and stuttering severity. The former was assessed by the use of 13 foreperiod durations. The latter was assessed by classifying experimental subjects as either mild or severe stutterers. Both factors significantly affected LRT values. More importantly, these factors demonstrated a composite effect on group LRT differences. Specifically, mild stutterers' LRT values approached normal values as foreperiod increased, whereas severe stutterers' LRT values remained significantly greater than normal values at all foreperiods. Results are discussed in terms of differential posturing and/or vibration initiation deficits underlying stutterers' delayed LRT values. We caution that acoustic measurements alone are insufficient to specify fully the nature of the underlying deficits.