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Vest, Floyd R. – Educ Stud Math, 1969
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Instruction

Rindskopf, David – Psychometrika, 1983
Current computer programs for analyzing linear structural models will apparently handle only two types of constraints: fixed parameter and equal parameters. In this paper, a method for imposing several types of inequality of parameter constraints is described. Several examples are presented. (Author/JKS)
Descriptors: Analysis of Variance, Computer Programs, Data Analysis, Mathematical Models

Rindskopf, David – Psychometrika, 1983
Various models have been proposed for analyzing dichotomous test or questionnaire items which were constructed to reflect an assumed underlying structure (e.g., hierarchical). This paper shows that many such models are special cases of latent class analysis and discusses a currently available computer program to analyze them. (Author/JKS)
Descriptors: Computer Programs, Item Analysis, Mathematical Models, Measurement Techniques

Grass, Alan L.; Perry, Philippa – Psychometrika, 1983
A procedure for inferring the validity of a selection test as a predictor of some criterion when the available data are limited due to prior selection is described. (Author/JKS)
Descriptors: Mathematical Models, Predictive Measurement, Predictive Validity, Selection

Mellenbergh, Gideon J. – Journal of Educational Statistics, 1982
Strategies for assessing item bias are discussed. Correct response probabilities in latent trait models are compared conditional on latent ability. Probabilities are compared conditional on the observed test score in Scheuneman's method. A method to assess item bias and distinguish between uniform and nonuniform bias is described. (Author/DWH)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Statistical Studies

Bray, James H.; Maxwell, Scott E. – Review of Educational Research, 1982
The available methods for analyzing and interpreting data with multivariate analysis of variance are reviewed, and guidelines for their use are presented. Causal models that underlie the various methods are presented to facilitate the use and understanding of the methods. (Author/PN)
Descriptors: Analysis of Variance, Discriminant Analysis, Mathematical Models, Multivariate Analysis

LaMotte, Lynn Roy; McWhorter, Archer, Jr. – Educational and Psychological Measurement, 1981
A linear regression function is developed for use in a classification procedure. The procedure is applied to faculty merit review data, resulting in an interpretable regression function and within-sample classifications as good as a four-funtion discriminant analysis. (Author/BW)
Descriptors: Classification, Discriminant Analysis, Faculty Evaluation, Higher Education

Szatrowski, Ted – Journal of Educational Statistics, 1982
Known results for testing and estimation problems for patterned means and covariance matrices with explicit linear maximum likelihood estimates are applied to the block compound symmetry problem. An example involving educational testing is provided. (Author/JKS)
Descriptors: Hypothesis Testing, Mathematical Models, Maximum Likelihood Statistics, Multivariate Analysis

Wilcox, Rand R. – Educational and Psychological Measurement, 1982
Results in the engineering literature on "k out of n system reliability" can be used to characterize tests based on estimates of the probability of correctly determining whether the examinee knows the correct response. In particular, the minimum number of distractors required for multiple-choice tests can be empirically determined.…
Descriptors: Achievement Tests, Mathematical Models, Multiple Choice Tests, Test Format

Buell, Duncan A.; Kraft, Donald H. – Journal of the American Society for Information Science, 1981
Analyzes the nature of Boolean information retrieval in relation to the discrete weights of query terms, examines assigned weights from an approach involving thresholds, and generates an evaluation mechanism which allows the user to attach a threshold to the query term. Thirteen references are listed. (FM)
Descriptors: Bibliographies, Evaluation Methods, Indexing, Information Retrieval

Tversky, Amos; Gati, Itamar – Psychological Review, 1982
The coincidence hypothesis predicts that dissimilarity between objects that differ on two separable dimensions is larger than predicted from their unidimensional differences on the basis of triangle inequality and segmental additivity. The coincidence hypothesis was supported in two-dimensional stimuli studies. (Author/CM)
Descriptors: Classification, Discriminant Analysis, Hypothesis Testing, Mathematical Models

Gati, Itamar – Educational and Psychological Measurement, 1981
This paper examines the properties of the Item Efficiency Index proposed by Neill and Jackson (1976; EJ 137 077) for minimum redundancy item analysis. (Author/BW)
Descriptors: Correlation, Factor Structure, Item Analysis, Mathematical Models

Ronis, David L. – Educational and Psychological Measurement, 1981
Many researchers draw the conclusion that one independent variable has more impact than another without testing the null hypothesis that their impact is equal. This paper presents and recommends a technique for testing the relative magnitude of effects, rather than basing conclusions solely on descriptive statistics. (Author/BW)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Research Design

Bagozzi, Richard P. – Multivariate Behavioral Research, 1981
Canonical correlation analysis is considered to be a general model for bivariate and multivariate statistical methods. Some problems involving assumptions and statistical tests for parameters exist for social science data. A resolution for these problems is presented by treating canonical correlation as a special case of linear structural…
Descriptors: Correlation, Data Analysis, Hypothesis Testing, Mathematical Models

Frijters, J. E. R. – Psychometrika, 1981
The Triangular Constant Method was designed for the measurement of discriminability between sensory stimuli. Its original model assumes a steady excitatory detection state. The purpose of this paper is to elaborate on the consequences of assuming a variable exicitatory state and to formulate the concomitant model. (Author)
Descriptors: Data Analysis, Mathematical Models, Measurement Techniques, Perception