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Showing papers in "Journal of Mathematical Psychology in 1971"


Journal ArticleDOI
TL;DR: In this article, it was shown that the mean latency of SCR's (μs) in two-choice experiments can be estimated from a single session, regardless of how the subject adjusts his guessing probability.

180 citations


Journal ArticleDOI
TL;DR: In this article, a set of choice alternatives was constructed to test Restle's (1961) hypothesis about the role of similarity between alternatives in choice behavior, and the set contained names of three political figures, three actresses, and three athletes, with the intention of producing considerable similarity within subsets and minimal similarity between subsets.

109 citations


Journal ArticleDOI
TL;DR: In this article, a theory is proposed to account for the functions of unreinforced test (T) trials in paired-associate learning: the forgetting-prevention effects as contrasted to blank (B) trials and the potentiating effects upon the subsequent reinforcement (R) trials.

86 citations


Journal ArticleDOI
TL;DR: In this paper, the authors investigated the question of what conditions must satisfy two discrimination indices to yield identical scales and the usual questions of existence, uniqueness, and construction of solutions to Fechner's Problem.

68 citations


Journal ArticleDOI
TL;DR: Fechner deduced his logarithmic law from Weber's Law by integrating the equation du = dx kx as discussed by the authors, which has been regarded as incorrect since the work of Luce and Edwards.

63 citations


Journal ArticleDOI
TL;DR: In this article, the authors studied learning in paired-associate items in relation to the lengths of the intervals between the reinforcements (Rs) and the test trials (Ts) on each item, in order to gather data on the roles of these intervals and of the Ts and Rs themselves in learning.

57 citations


Journal ArticleDOI
Fred S. Roberts1
TL;DR: Almost all the probabilistic consistency conditions studied are equivalent on the data p ( a , b), and the logical relations among all these conditions are described.

51 citations


Journal ArticleDOI
TL;DR: A learning model for signal detection which assumes a continuum of sensory states is investigated, a generalization of a model originally proposed by Kac (1962, 1969), and selected special cases of this model were evaluated in a 2AFC signal detection task.

50 citations


Journal ArticleDOI
TL;DR: The optimal decision policy is presented and numerical results are given for Gaussian and exponential stimulus models and descriptive models are proposed and compared to the normative model.

48 citations


Journal ArticleDOI
TL;DR: In this article, the authors examined the relationship to response probability of response latency, difference between two latencies and dispersion of latency, and also some properties of the latency distribution and showed that the latency-probability curve is decreasing if and only if the hazard function of the underlying distribution is increasing and sufficient conditions are obtained for monotone hazard rate.

44 citations


Journal ArticleDOI
TL;DR: In this article, a scalar timing mechanism is proposed as the basic latency mechanism underlying asymptotic free-operant avoidance performance, which results in a semi-Markov chain in which transition times may depend on the state to be entered as well as the state occupied.

Journal ArticleDOI
TL;DR: It is proved that the optimum policy for a multi-item list can be calculated by considering each item individually and then aggregating the individual results into a total policy.

Journal ArticleDOI
TL;DR: In this article, a general polynomial transformation for the dependent variable is given for various cases of the general linear model such that selected sources of variance such as interactions or configuralities are reduced or eliminated.

Journal ArticleDOI
TL;DR: In this article, the relevance of this theorem for measurement theory and especially for expected-utility theory is noted, where the authors show that if f is a real-valued function on A and A is a subset of X 1 × X 2 × × … × X n, then there are realvalued functions f 1,.., f n on X 1,…, X n such that f (x ) = f 1 (x 1 ) + … + f n (x n ) for all x in A if and only if f ( x 1 + �

Journal ArticleDOI
TL;DR: In this article, necessary and sufficient conditions are given for the existence of a probability measure on the algebra and a real number such that for any two Boolean elements the relation holds if and only if the corresponding probability values of the elements satisfy the threshold inequality (the difference of the probabilities is greater than the jnd).

Journal ArticleDOI
TL;DR: In this paper, a model based on the elimination of attributes, or dimensions, is developed to describe the asymptotic concept-identification (CI) behavior, where the subject tests samples of s attributes simultaneously, and eliminates from consideration those attributes that are inconsistent with the observed classification pattern.

Journal ArticleDOI
TL;DR: Additive two-factor conjoint measurement is derived from axioms that do not include unrestricted solvability or a condition on interlocked standard sequences as discussed by the authors, which is a condition that is not included in this paper.

Journal ArticleDOI
TL;DR: In this article, a concept identification model is presented for the purpose of predicting trial by trial performance as a function of the specific stimulus sequence, for different randomly selected sequences with equal probability, the model reduces to the Bower and Trabasso theory.

Journal ArticleDOI
TL;DR: In this article, the authors consider the data obtained from a series of absolute judgment and pair comparison experiments, the stimuli being "unidimensional" in some suitable sense, and a particular model is then obtained by making specific assumptions about the form of the sensory distributions, and the type of decision criteria.

Journal ArticleDOI
TL;DR: Retention functions were determined for four S s for recognition memory of letters at 14 different delays from 3 sec to 5 min and two levels of storage load and it is suggested that the duration of the consolidation phase is shortened by an increase in storage load.

Journal ArticleDOI
TL;DR: In this article, a generalized t statistic is used to demonstrate substantial individual differences in asymptotic performances in a probability learning experiment, contrary to the predictions of various learning models, and a generalization of the one-way analysis of variance yields an F test for differences in stable performance levels between several subjects working under the same experimental condition.

Journal ArticleDOI
TL;DR: Four indices for measuring different forms of structural collaboration are defined; two of these have been used in several empirical studies and could be used to investigate the relationships between collaboration and organizational processes.

Journal ArticleDOI
TL;DR: In this article, the authors compare the psychophysics of gambling with the expected utility model for two-outcome gambles and show that subjectively-expected utility (SEU) theory is inconsistent with single-peaked preference functions.

Journal ArticleDOI
TL;DR: A generalization of the Piagetian logical-mathematical model for the stage of formal operations is presented along with a set of assumptions based on a hierarchial stage-theoretic view of formal thought with which the generalization complied.

Journal ArticleDOI
TL;DR: In this paper, two theories for stimulus generalization in paired-associate learning (P.A.L) are compared: the mixed model and the all-or-none multilevel theory.

Journal ArticleDOI
TL;DR: In this article, two generalizations of Holder's Theorem are presented for extensive measurement when the empirical set contains a maximal and a minimal (non-null) element, respectively.

Journal ArticleDOI
TL;DR: A Markov model is developed to describe the process of decision making by a subject who must make a series of choices between reciprocating the helpful acts of a partner and maximizing his own payoff, in a situation in which the other cannot retaliate.

Journal ArticleDOI
TL;DR: In this paper, it was shown that the distribution of pn can be approximated by that of Xnτ, where Xt is a Markov process that is continuous in space and time.

Journal ArticleDOI
TL;DR: In this article, the effect of inter-trial interval on the difficulty of the task with respect to the mean number of trials to criterion was investigated and the results indicated that the values of the theoretical parameters representing the efficiency of information processing, the consistency of trial-by-trial decisions, and the efficacy of reinforcement are greater in the 3-sec interval condition.

Journal ArticleDOI
TL;DR: In this article, a modified result in which the presolution probability of correct responding depends on the composition of the focus sample is also derived for the general case of p ≠ 1 2.