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Haase, Richard F. – Multivariate Behavioral Research, 1991
Computational formulas are developed for recovering measures of strength of association from approximate "F" tests and chi-square tests associated with four multivariate test statistics. The four statistics include Wilke's Lambda; Pillai's Trace "V"; Hotelling's Trace "T"; and Roy's greatest characteristic root…
Descriptors: Chi Square, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
Cardinet, Jean; Allal, Linda – New Directions for Testing and Measurement, 1983
A general framework for conducting generalizability analyses is presented. Generalizability theory is extended to situations in which the objects of measurement are not persons but other factors, such as instructional objectives, stages of learning, and treatments. (Author/PN)
Descriptors: Algorithms, Analysis of Variance, Estimation (Mathematics), Mathematical Formulas
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Chen, Ye-Sho – Information Processing and Management, 1989
Argues that a major difficulty in using Lotka's law in information science arises from the misuse of goodness of fit tests in parameter estimation. Three approaches for studying Lotka's law are presented: an index approach, a time series approach, and a generating mechanism incorporating these two influential variables to derive an equilibrium…
Descriptors: Estimation (Mathematics), Goodness of Fit, Information Science, Mathematical Formulas
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Schmitt, Neal – 1982
A review of cross-validation shrinkage formulas is presented which focuses on the theoretical and practical problems in the use of various formulas. Practical guidelines for use of both formulas and empirical cross-validation are provided. A comparison of results using these formulas in a range of situations is then presented. The result of these…
Descriptors: Correlation, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
Peer reviewed Peer reviewed
Tsutakawa, Robert K. – Journal of Educational Statistics, 1984
The EM algorithm is used to derive maximum likelihood estimates for item parameters of the two-parameter logistic item response curves. The observed information matrix is then used to approximate the covariance matrix of these estimates. Simulated data are used to compare the estimated and actual item parameters. (Author/BW)
Descriptors: Computer Simulation, Estimation (Mathematics), Latent Trait Theory, Mathematical Formulas
Wolfle, Lee M. – 1982
Direct and indirect effects in decomposed zero-order correlations among variables in causal models are considered. Under certain circumstances, the components of the decompositions could be interpreted as direct, indirect, and spurious causal effects, plus a component called joint associations. The sum of the direct and indirect effects is the…
Descriptors: Elementary Secondary Education, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
Park, Rolla Edward; Carroll, Stephen J. – 1982
This study analyzes the effectiveness of a "guaranteed tax base" (GTB) as a reform measure designed to reduce the traditional heavy reliance of school financing on local property tax revenues and to help equalize per pupil expenditures across districts. Such measures call for matching locally raised tax dollars with state aid and…
Descriptors: Cross Sectional Studies, Data Analysis, Elementary Secondary Education, Estimation (Mathematics)