Psychometrika
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On methods in the analysis of profile data
Psychometrika - Tập 24 - Trang 95-112 - 1959
This paper is concerned with methods for analyzing quantitative, non-categorical profile data, e.g., a battery of tests given to individuals in one or more groups. It is assumed that the variables have a multinormal distribution with an arbitrary variance-covariance matrix. Approximate procedures based on classical analysis of variance are presented, including an adjustment to the degrees of freed......
Mathematical analysis in psychology of education: Computation of stimulation, rapport, and instructor's driving power
Psychometrika - Tập 9 - Trang 249-256 - 1944
Mathematical expressions are derived for such concepts as stimulation of student by instructor, student-instructor rapport, and driving power of instructor, in terms of the student's and the instructor's foci of attention, their strength of concentration, and the intensity of the presentation and of the reception of details of subject matter. Under the assumption of normal distribution, the mathem......
Probability matrix decomposition models
Psychometrika - Tập 61 - Trang 7-29 - 1996
In this paper, we consider a class of models for two-way matrices with binary entries of 0 and 1. First, we considerBoolean matrix decomposition, conceptualize it as alatent response model (LRM) and, by making use of this conceptualization, generalize it to a larger class of matrix decomposition models. Second,probability matrix decomposition (PMD) models are introduced as a probabilistic version ......
Contributions to the mathematical theory of human relations viii: Size distribution of cities
Psychometrika - Tập 9 - Trang 201-215 - 1944
An attempt is made to connect the distribution function of the sizes of the cities with the distribution functions of some other characteristics of the individuals in the society. Several theoretical possibilities are discussed and different relations are derived. A possible connection with some observed relations is discussed.
A note on factor analysis: Arbitrary orthogonal transformations
Psychometrika - Tập 24 - Trang 169-174 - 1959
A modification of the Gram-Schmidt process yields an easily constructed orthogonal transformation matrix which may be used to rotate a centroid, principal axis, or maximum likelihood factor matrix in a manner such that one of the new axes has predetermined direction. The procedure is illustrated by rotating a centroid factor matrix into an abbreviated bifactor matrix, the general factor being defi......
Factorial invariance and significance
Psychometrika - Tập 5 - Trang 47-56 - 1940
It is shown that invariance requirements remove the indeterminacy in factor determination and lead to an integration of factorial studies with promise of considerable reduction in computational labor. The selection of significant primary factors is discussed, with special reference to Thurstone's simple structure criterion.
Note on the computation of product-moment correlation coefficients
Psychometrika - Tập 14 Số 1 - Trang 69-73 - 1949
This paper describes a systematic plan for computing all of the product-moment correlation coefficients among a number of variables that has been taught by Professor Toops for many years. It offers several advantages over a scheme presented by Kossack in a recent issue of this journal.
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