Comparative judgments with numerical reference points

A model of subjective magnitude comparisons is explored, which assumes that subjects compare symbolic stimulus magnitudes with respect to a reference point. The reference point may be established implicitly by the question (e.g., “Which is larger?” vs “Which is smaller?”) or be presented explicitly (e.g., “Choose the stimulus closer to X.”). The model was tested in five experiments in which subjects judged which of two comparison digits was closer to (or further from) a reference digit. Regression analyses in three experiments revealed that reaction time depended on the ratio of the distances from the comparison items to the reference point. The other two experiments provided evidence that subjects can strategically vary the processes by which they compare stimuli to a reference point. The results indicated that subjects can perform various types of “analog arithmetic” using either the linear number scale or a nonlinear scale of subjective digit magnitude.     

The interpretation of universal affirmative propositions

It is proposed that All F are G is often given a ‘structure-neutral’ interpretation, as All, F, G, lacking a subject-predicate distinction. In the first experiment, children aged 6–7–8, and 11–12, and adults, acted out instructions like “Make a building in which all the yellow blocks are square”. The experiment demonstrated the dominance in children and decline with age of structure-neutral interpretations. In a second experiment, with the same age groups, propositions of the form All F are G, varying as to the factual inclusion relations expressed, were presented as the major premises of syllogistic items. The results indicated the presence of structure-neutral interpretations under some circumstances in adults as well as children, and also demonstrated the existence in all subjects of a ‘pragmatic processing’ mode that becomes less obligatory with age. In pragmatic interpretations, meaning is determined by previously known factual relations between the things which the words represent, rather than by grammatical relations between the words themselves.     

Stimulus generalization following extradimensional and intradimensional training in educable retarded children

Five related experiments investigating stimulus generalization following go/no-go discrimination training of educable retarded children are reported. Experiment 1 employed an Extradimensional paradigm in which generalization testing was on the hue dimension following training on an independent (orientation) dimension. Following True discrimination training only 25% of children showed a decremental stimulus generalization gradient on the hue dimension, though all children exhibited flat gradients in Pseudodiscrimination and S+ only control groups. An increase in difficulty of the orientation discrimination in Experiment 2 did not increase the number of decremental gradients. In Experiment 3, children who exhibited decremental gradients in Experiments 1 and 2 underwent further generalization testing with modified stimuli to establish a symmetrical gradient peaked at a hue S+ to be employed in Experiments 4 and 5. In these experiments an Intradimensional paradigm was employed with S+ and S? stimuli drawn from the hue dimension. Excitatory control by S+ and inhibitory control by S? were demonstrated, as were inhibitory consequences of S? such as peak and area shift.     

A functional measurement analysis of the development of dimensional coordination in children

The development of children's dimensional coordination was investigated using kindergarten, second, fourth, and sixth grade subjects (Ages 5, 7, 9, and 11 years, respectively), and an adult sample, by means of a perceptual estimation task requiring the subjects to match in total area a stimulus rectangle to an adjustable square stimulus. The problem was formulated using information integration theory, and the procedures and techniques of functional measurement were used in the analysis. Dimensional coordination was found to develop from a stage of total centration on one dimension to a stage of total decentration with equal weighting applied to both dimensions.Contrary to extant hypotheses, the vertical dimension was not the salient dimension for single dimension centerers. Rather, the spatial axis on which the compared-objects were placed determined the displacement of attention. When this frame of reference effect was controlled, the longer of the two dimensions was the salient dimension for centering subjects.     

Age changes in nonverbal decoding as a function of increasing amounts of information

A test of nonverbal decoding skill (the PONS test) was administered to 632 subjects of eight different age levels, ranging from third graders to adults (Ages 8–33 years). Females were more accurate than males, older subjects were more accurate than younger ones, and all samples tended to decode more successfully when more information was available. Three different analyses showed that the increase in accuracy with increasing amounts of information was more pronounced for the older than for the younger groups. This differential effectiveness in the utilization of available information was discussed in terms of processing capacity, effort, and strategies for sampling a diversity of cues.