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Koulis, Theodoro; Ramsay, James O.; Levitin, Daniel J. – Psychometrika, 2008
Recent advances in data recording technology have given researchers new ways of collecting on-line and continuous data for analyzing input-output systems. For example, continuous response digital interfaces are increasingly used in psychophysics. The statistical problem related to these input-output systems reduces to linking time-varying…
Descriptors: Mathematical Models, Data Analysis, Calculus, Item Response Theory
Peer reviewedRamsay, J. O. – Psychometrika, 1982
Data are often a continuous function of a variable such as time observed over some interval. One or more such functions might be observed for each subject. The extension of classical data analytic techniques to such functions is discussed. (Author/JKS)
Descriptors: Data Analysis, Mathematical Models, Multivariate Analysis, Psychometrics
Hwang, Heungsun; Takane, Yoshio – Psychometrika, 2004
A multivariate reduced-rank growth curve model is proposed that extends the univariate reduced rank growth curve model to the multivariate case, in which several response variables are measured over multiple time points. The proposed model allows us to investigate the relationships among a number of response variables in a more parsimonious way…
Descriptors: Multivariate Analysis, Mathematical Models, Psychometrics, Matrices
Ceulemans, Eva; Van Mechelen, Iven – Psychometrika, 2004
This paper presents a new hierarchical classes model, called Tucker2-HICLAS, for binary three-way three-mode data. As any three-way hierarchical classes model, the Tucker2-HICLAS model includes a representation of the association relation among the three modes and a hierarchical classification of the elements of each mode. A distinctive feature of…
Descriptors: Classification, Simulation, Mathematical Models, Psychometrics
Peer reviewedHarris, Chester W. – Psychometrika, 1978
A simple roof is presented: that the squared multiple correlation of a variable with the remaining variables in the set of variables is a lower bound to the communality of that variable. (Author/JKS)
Descriptors: Correlation, Data Analysis, Factor Analysis, Mathematical Models
Peer reviewedMuthen, Bengt O. – Psychometrika, 1989
The problems posed for latent variable analysis by populations with different sets of parameter values are discussed. An overview of methodology to address heterogeneity is presented, including a review of structural modeling by the multiple indicator-multiple causes model and the use of the LISCOMP computer program. (SLD)
Descriptors: Data Analysis, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewedGoodman, Leo A. – Psychometrika, 1979
An iterative procedure to obtain maximum likelihood estimates of latent structure analysis parameters is described. The procedure is defended against a critic (EJ 187 975) who contended that it would permit unacceptable estimates. (JKS)
Descriptors: Data Analysis, Mathematical Models, Maximum Likelihood Statistics, Psychometrics
Leenen, Iwin; Van Mechelen, Iven – Psychometrika, 2004
This paper proposes a multidimensional generalization of Coombs' (1964) parallelogram model for "pick any/'n'" data, which result from each of a number of subjects having selected a number of objects (s)he likes most from a prespecified set of "n" objects. In the model, persons and objects are represented in a low dimensional space defined by a…
Descriptors: Intervals, Simulation, Mathematical Models, Data Analysis
Peer reviewedBloxom, Bruce – Psychometrika, 1972
Special cases of the factor analysis model are developed for four selection situations. Methods are suggested whereby parameters in each case can be estimated using a maximum likelihood procedure recently developed by Joreskog. (Author)
Descriptors: Data Analysis, Factor Analysis, Hypothesis Testing, Mathematical Applications
Peer reviewedLevine, Joel H. – Psychometrika, 1979
Social and naturally occurring choice phenomena are often of the "pick any" type in which the number of choices made by a subject as well as the set of alternatives from which they are chosen is unconstrained. A model and scaling method for these data are introduced. (Author/JKS)
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Multidimensional Scaling
Keown, Lauriston L.; Hakstian, A. Ralph – 1972
This study involved an investigation of the use of Pearson r, tetrachoric r, phi, phi/phi maximum, and Kendall Tau-B coefficients as measures of association for the incomplete principal components analysis of simulated Likert scale attitudinal data, based on a known factor pattern and possessing different types of severe departures from normality.…
Descriptors: Attitude Measures, Componential Analysis, Correlation, Data Analysis
Peer reviewedCastellan, N. John, Jr. – Psychometrika, 1973
This paper discusses the Lens Model' approach to the analysis of subject performance in multiple-cue judgment tasks embedded in probabilistic environments. (Author/RK)
Descriptors: Analysis of Covariance, Bayesian Statistics, Data Analysis, Mathematical Models
Peer reviewedMcDonald, Roderick P. – Multivariate Behavioral Research, 1979
Two major and two minor principles are shown to serve to generate a large number of multivariate models, including canonical analysis, factor analysis, and latent trait test theory. The statistical underpinnings of the theory are discussed. (Author/JKS)
Descriptors: Analysis of Variance, Data Analysis, Factor Analysis, Mathematical Models
Choppin, Bruce; And Others – 1982
A detailed description of five latent structure models of achievement measurement is presented. The first project paper, by David L. McArthur, analyzes the history of mental testing to show how conventional item analysis procedures were developed, and how dissatisfaction with them has led to fragmentation. The range of distinct conceptual and…
Descriptors: Academic Achievement, Achievement Tests, Comparative Analysis, Data Analysis
GOODMAN, ARNOLD F.; AND OTHERS – 1966
A STUDY WAS MADE OF THE NATION'S DEFENSE INDUSTRY TO DETERMINE ITS INFORMATION NEEDS AND THE FLOW OF SCIENTIFIC AND TECHNICAL INFORMATION (FLOW PROCESS) NECESSARY TO SATISFY THESE NEEDS. VOLUME I, LI 000 345, OF THE THREE VOLUME FINAL REPORT IS AN OVERVIEW OF THE OTHER TWO VOLUMES AND INCLUDES GUIDELINES FOR MANAGEMENT DECISIONS AND…
Descriptors: Communication (Thought Transfer), Comparative Analysis, Correlation, Data Analysis

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