Measurement foundations for multiattribute psychophysical theories based on first order polynomials

The class of first order polynomial measurement representations is defined, and a method for proving the existence of such representations is described. The method is used to prove the existence of first order polynomial generalizations of expected utility theory, difference measurement, and additive conjoint measurement. It is then argued that first order polynomial representations provide a deep and far reaching characterization of psychological invariance for subjective magnitudes of multiattributed stimuli. To substantiate this point, two applications of first order polynomial representation theory to the foundations of psychophysics are described. First, Relation theory, a theory of subjective magnitude proposed by Shepard (Journal of Mathematical Psychology, 1981, 24, 21–57) and Krantz (Journal of Mathematical Psychology, 1972, 9, 168–199), is generalized to a theory of magnitude for multiattributed stimuli. The generalization is based on a postulate of context invariance for the constituent uniattribute magnitudes of a multiattribute magnitude. Second, the power law for subjective magnitude is generalized to a multiattribute version of the power law. Finally, it is argued that a common logical pattern underlies multiattribute generalizations of psychological theories to first order polynomial representations. This abstract pattern suggests a strategy for theory construction in multiattribute psychophysics.     

Food-searching behavior of cats in a multiple-choice elimination problem

Twelve cats were individually exposed to a four-point elimination problem for 50 consecutive days. The problem for the animals consisted of choosing a series of different points where they found, and were allowed to eat, a piece of meat, without returning to any previously visited point. The order of elimination was not controlled in any way by the experimenter. Results indicated that cats were able to solve this problem. All subjects showed a strong tendency to make successive runs toward points situated as far apart as possible. Moreover, a relation was shown between performance and the tendency to follow this high divergence principle. This result is discussed in terms of subjects' ability to process information about the spatial characteristics of the experimental situation. This ability might in fact be related to the behavioral plasticity of animals in spatial problems according to the difficulty of the task.     

Flexibility of information processing and the memory of field-independent and field-dependent learners

This study examined memory differences between 48 field-independent and 48 field-dependent learners, and it hypothesized that rigid information processing by field-dependent learners interferes with cue efficiency during memory recall. The field-independent and field-dependent learners were presented with paired associates in which the target recall words were homographs, and accompanying associates emphasized one of the homograph's two meanings. Homograph recall occurred under three conditions: (a) same cue recall, (b) different cue recall (emphasized other meaning of homograph), and (c) free recall. This study found memory differences favoring the field-independent learner and findings consistent with the rigid information processing hypothesis of field-dependent learners.     

Bilingualism and brain functional asymmetry

The task of the neural organization of the native language, acquired by a direct method and of another language, studied at school, performed correspondingly by the left and the right hemispheres, was studied in the bilingual patient after unilateral electroconvulsive therapy used in psychiatry. It was established that in such a bilingual type the right hemisphere is concerned with the formation of deep semantic structures of the native language while the left hemisphere is responsible for the formation of second language deep structures and of surface structures of both languages. The effect of language learning method on cerebral organization of bilingualism is postulated.     

Language function and dysfunction among Chinese- and English-speaking polyglots: Cortical stimulation, Wada Testing, and clinical studies

Language functions in a group of Chinese- and English-speaking polyglots living in a multiracial society have been investigated by several methods: the effects of cortical stimulation on object-naming and reading tasks in patients who required awake craniotomy, lateralization of cerebral dominance for speech by the Wada Test, and the pattern of language loss and recovery following stroke. The data indicate that these polyglots were all left hemisphere dominant for the languages tested: no consistent evidence for increased participation by the right hemisphere for language functions was found. The cortical stimulation experiments provided data most compatible with the "differential localization" model of cerebral localization in bilingualism. The variable which most influenced performance in all of these investigations was which language was used primarily for speaking as well as reading and writing at the time of the study.     

Attending to feelings and cognitive performance

The effect on cognitive performance of attending to internally generated stimuli was examined. Specifically, the effect of examining feelings and sensations upon performance in the Stroop test and upon the performance of mental addition was measured. In two initial experiments subjects more quickly named, in the Stroop test, the color of the ink (“red”) in which a color word (“green”) was printed following instructions to attend to their feelings. It was found that this facilitation was due in part to the slowing of the automatic, interfering habit of reading for word meanings. In a third experiment, the effect of attending to physical sensations on the back of the hand was found to have a similar facilitating effect and was seen as resulting from the allocation of attention to internally generated stimuli. In a final experiment, attending to feelings and to the physical sensations on the back of the hand was found to increase speed of mental addition. This effect was attributed to increased attention to internally generated stimuli (here knowledge about the arithmetic performance at the moment).     

The use of expectancy theory in the explanation of turnover in ROTC

A questionnaire was administered to 142 mate students who were enrolled in ROTC and 18 male students who had dropped out of ROTC. Several months later seven of the above 142 subjects dropped out of ROTC. A ratio expectancy theory model was developed from the questionnaire as an operational definition of motivation to remain in ROTC. The results indicated that the 25 dropouts had a significantly lower (p < .001) score on this motivational measure than the 135 subjects who were still enrolled in ROTC, and also that these latter subjects were as strongly attracted to a civilian job as they were to an Army job. The implications of these findings relative to the ability of the Army to attract career officers were discussed.     

Spatial and ordinal components of form perception and literacy

We suppose that the visual nervous system possesses compensatory rectifying mechanisms by means of which it achieves “constancy” of visual recognition despite variation in physical appearance of the stimulus object. Using geometric rotations, reflections, and other transformations of text as the physical variation, we studied the recognizability of the texts and the influence that practice in reading one type of transformation exerted on the recognition of others. The mathematical structure of the training set was used as a clue to the perceptual mechanisms mediating transfer, isolating perceptual functions involving a geometric transformation and an ordinal operator. The main feature of the theory is its emphasis upon a dialogue or interaction between ongoing problem-solving processes in visual rectification and the sample being recognized. The theory developed is contrasted with other theories of pattern recognition in which concepts such as stimulus generalization, tuned detectors, and preprocessing play major roles. A relation of this theory to problems encountered among disabled readers (“dyslexics”) is also brought out.     

Information producing responses in normal and retarded children.

Normal and retarded children were given trials on several discriminations which varied in difficulty. On standard discrimination trials the retarded subjects did not differ from the MA control subjects in the number of errors made but both groups made more errors than the CA control group. On other trials if subjects were not sure which stimulus was correct they were allowed to press an information key which made the discrimination easier. The retarded subjects made significantly more informational key responses than either of the control groups. These results confirmed the findings of prior investigations dealing with outerdirectedness in an experimental situation which did not allow distractibility to be a significant factor.