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Gvay, Roland B.; McCabe, George P. – Psychometrika, 1986
A binomial test for hierarchical dependency is presented. The null hypothesis is that all members of a population who possess a certain skill are a subset of the members who possess another skill. The model, assumptions, formula derivations, and procedures for the test are explained. An illustrative hypothesis is provided. (Author/LMO)
Descriptors: Hypothesis Testing, Mathematical Models, Maximum Likelihood Statistics
Peer reviewed Peer reviewed
Grams, William; Van Belle, Gerald – Psychometrika, 1972
A formula for the ratio of the variance of the pooled transformed data under departure from the binomial assumption to the variance of the pooled transformed data when the binomial assumption holds is given. (Authors)
Descriptors: Hypothesis Testing, Mathematical Models, Memory, Transformations (Mathematics)
Peer reviewed Peer reviewed
Levine, Richard A.; Ohman, Pamela A. – Psychometrika, 1997
Challenge studies can be used to see whether there is a causal relationship between an agent of interest and a response. An approach based on union-intersection testing is presented that allows researchers to examine observations on a single subject and test the hypothesis of interest. An application using psychological data is presented. (SLD)
Descriptors: Comparative Analysis, Hypothesis Testing, Mathematical Models, Psychological Studies
Peer reviewed Peer reviewed
Borg, Ingiver; Lingoes, James C. – Psychometrika, 1980
A method for externally constraining certain distances in multidimensional scaling configurations is introduced and illustrated. The method is described in detail and several examples are presented. (Author/JKS)
Descriptors: Algorithms, Hypothesis Testing, Mathematical Models, Multidimensional Scaling
Peer reviewed Peer reviewed
Ramsay, J. O. – Psychometrika, 1978
Techniques are developed for constructing confidence regions for each of the points in a multidimensional scaling solution. Bayesian credibility regions are discussed, and a technique for displaying these regions is described. (Author/JKS)
Descriptors: Bayesian Statistics, Hypothesis Testing, Mathematical Models, Measurement Techniques
Peer reviewed Peer reviewed
Boik, Robert J. – Psychometrika, 1981
The validity conditions for univariate repeated measures designs are described. Attention is focused on the sphericity (equality of variance) requirement. It is recommended that separate rather than pooled error term procedures be routinely used to test a priori hypotheses. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Research Design
Peer reviewed Peer reviewed
Huynh, Huynh – Psychometrika, 1981
Procedures for the analysis of profiles of means in repeated measures designs under order restriction for patterns of mean change are described. Tables of critical values are provided for the case of simple-order alternatives. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Profiles
Peer reviewed Peer reviewed
Bentler, P. M.; Lee, Sik-Yum – Psychometrika, 1978
A special case of Bloxom's version of Tucker's three mode factor analysis model is developed statistically. A goodness of fit test and an empirical example are presented. (Author/JKS)
Descriptors: Factor Analysis, Goodness of Fit, Hypothesis Testing, Mathematical Models
Peer reviewed Peer reviewed
Sorbom, Dag – Psychometrika, 1978
A general statistical model for simultaneous analysis of data from several groups is described. The model is primarily designed to be used for the analysis of covariance. The model can handle any number of covariates and criterion variables, and any number of treatment groups. (Author/JKS)
Descriptors: Analysis of Covariance, Hypothesis Testing, Mathematical Models, Research Design
Peer reviewed Peer reviewed
Rothstein, Stuart M.; And Others – Psychometrika, 1981
A nonparametric test of dispersion with paired replicates data is described which involves jackknifing logarithmic transformations of the ratio of variance estimates for the pre- and posttreatment populations. Results from a simulation show that the test performs well under the null hypothesis and has good power properties. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
Peer reviewed Peer reviewed
Kraemer, Helena Chmura – Psychometrika, 1981
Limitations and extensions of Feldt's approach to testing the equality of Cronbach's alpha coefficients in independent and matched samples are discussed. In particular, this approach is used to test equality of intraclass correlation coefficients. (Author)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Mathematical Models
Peer reviewed Peer reviewed
Muthen, Bengt; Hofacker, Charles – Psychometrika, 1988
A model is proposed for empirically testing the appropriateness of using tetrachoric correlations for a set of dichotomous variables. A testing method is proposed that uses information from trivariate marginal tables. Assumptions are tested with real and simulated data. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Factor Analysis, Hypothesis Testing
Peer reviewed Peer reviewed
Regal, Ronald R.; Larntz, Kinley – Psychometrika, 1978
Models relating individual and group problem solving solution times under the condition of limited time (time limit censoring) are presented. Maximum likelihood estimation of parameters and a goodness of fit test are presented. (Author/JKS)
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Problem Solving
Peer reviewed Peer reviewed
Read, Campbell B. – Psychometrika, 1978
Three dimensional contingency tables in which one variable is considered to be a factor and the other two variables have a natural relationship (such as left and right eye vision) are analyzed. Models involving symmetry and proportional symmetry between the related variables are also presented. (Author/JKS)
Descriptors: Expectancy Tables, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
Peer reviewed Peer reviewed
Muthen, Bengt – Psychometrika, 1984
A structural equation model is proposed with a generalized measurement part, allowing for dichotomous and ordered categorical variables (indicators) in addition to continuous ones. A computationally feasible three-stage estimator is proposed for any combination of observed variable types. Two multiple-indicator modeling examples are given.…
Descriptors: Correlation, Goodness of Fit, Hypothesis Testing, Least Squares Statistics
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