Showing papers in "Journal of Mathematical Psychology in 1977"

TL;DR: A method of scaling ratios using the principal eigenvector of a positive pairwise comparison matrix is investigated, showing that λmax = n is a necessary and sufficient condition for consistency.

TL;DR: A survey of the choice axiom and its application in psychophysical theory can be found in this paper, with a focus on the use of choice models in the context of psychophysics.

TL;DR: Holman and Marley as discussed by the authors showed 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.

TL;DR: In this paper, a game between two contestants, each of which has two options, “Attack” or “Display,” is considered, where the opponents may be of two types which differ in the destruction they are capable of inflicting but that prior to a contest a contestant cannot recognize the type its opponent belongs to.

TL;DR: A permutation procedure is described for statistically comparing a given classification scheme, characterized as a hierarchically organized collection of subsets, to either a proximity matrix or a second classification scheme defined on the same basic set of objects.

TL;DR: In the theory of test validity, it is assumed that error scores on two distinct tests, a predictor and a criterion, are uncorrelated, and an additional axiom of experimental independence is needed in order to obtain familiar results.

TL;DR: Results from an experiment in visual discrimination suggest that some observers in fact operate at constant objective LR's as signal strength is varied randomly over a wide range, consistent with the use of a Subjective Neyman-Pearson (SNP) decision rule and the linear relation between subjective and objective log LR's found in the studies of subjective probability.

TL;DR: In this paper, a utility function for playing a given position in a game is developed as a natural extension of the utility function which defines the rewards available in the game, determined by a player's opinion of his bargaining ability.

TL;DR: In this paper, it was shown that the additive conjoint measurement for binaural loudness summation can be used to estimate the power function of the two component functions of the auditory intensities.

TL;DR: A qualitative model for adaptive processes and for Piaget's theory of cognitive development is presented in this paper, which describes the threshold period between stages of development and uses Thom's catastrophe theory as the major tool to obtain a geometric representation for a certain aspect of this theory.

TL;DR: In this article, a nonlinear transformation of x, y into a pair of subjective dimensions u ( x, y ), v ( x, Y ) for which decomposability should be approximately satisfied is given.

TL;DR: In this article, a model of choice called sub-semi-order was developed, which is a generalization of Luce's semi-order to multidimensional choice.

TL;DR: In this paper, the basic representation theorem for semi-orders was given a simple contructive proof, which was later extended to semi-classes of weak orders by Scott and Suppes.

TL;DR: In this article, a probabilistic, multidimensional Thurstonian model for treating same-different judgments was tested in an experiment in which subjects made single-dimensional and two-dimensional same different judgments.

TL;DR: In this paper, the current status of neural network dynamics is reviewed and a survey is used as a basis for suggesting some fundamental difficulties in developing a science of the human mind, including the difficulty of developing a brain science.

TL;DR: A number of terms are introduced to characterize those clustering methods that attempt to limit the size of the overlap between each pair of subsets constructed at a specific “compactness” level.

TL;DR: In this paper, the existence of an underlying ordering necessary and sufficient to ensure that all preference orders will be single-peaked and if not, just what further conditions must be met?

TL;DR: In this article, the expected number of mappings when the array of sociometric graphs is drawn at random with equal probabilities is calculated. And upper and lower bounds are computed for the probability of finding at least one mapping from an array to the given images.

TL;DR: An emphasis is placed on hierarchical clustering by the criterion of k-edge connectivity and on the relationship between several criteria for object seriation proposed in the literature and the appropriate graph-theoretical structures.

TL;DR: In this article, a condition on the moment-generating functions of the random walk model derived by Link and Heath (1975), which is necessary and sufficient to yield the sequential probability ratio test of Wald (1947) and the reaction-time model proposed by Stone (1960) is discussed.

TL;DR: In this paper, a complete solution to the problem of finite conjoint additivity is provided, not only to answer the question of whether a particular order is conjointly additive, but also to detail the possible value assignments which demonstrate conjoint additive for the order.

TL;DR: A set of conditions for permissible value domains, “addition” and “multiplication” operations, and value matrices is developed under which generalized matrix multiplication directly yields properties of a digraph or network.

TL;DR: A method is developed for expressing and testing organizational hypotheses which account for patterns of co-occurrence among to-be-recalled items and a test of the model's goodness of fit is described.

TL;DR: The theory explains published findings on memory span, measurement of spatial numerosity (and subitization), total-time effects, and the behavior of RT curves for the Sternberg item recognition experiment.

TL;DR: In this article, a multistage betting game (MBG) is considered, where a decision maker is provided with some capital x which he is required to bet over m (m > 1) mutually exclusive and collectively exhaustive alternatives.

TL;DR: Impossible figures and their braid analyses are reconsidered from the point of view of their side segments rather than their corners.

TL;DR: In this paper, the concept of S-multiplicativity is applied to the analysis of visual identification performance, and the confusion matrices obtained from three identification experiments are tested for predictions of S multiplicativity derived from the multicomponent theory of perception.