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O'Brien, Robert M.; Jones, Barnie – Journal of Research and Development in Education, 1986
The utility and interpretation of a coefficient derived by use of the generalizability theory is discussed in this article. Then it is employed to assess the reliability of several school-level variables from the High School and Beyond study. (JD)
Descriptors: Analysis of Variance, Generalizability Theory, Research Methodology, Statistical Inference

Davison, Mark L.; Sharma, Anu R. – Psychometrika, 1994
Three analyses of pretest and posttest data are considered: (1) posttest only designs; (2) two-way repeated measures of analysis of variance (ANOVA); and (3) one-way analysis of covariance (ANCOVA). Conditions that ensure legitimacy of inferences about the equality of treatment effects on the latent variable theta are discussed. (SLD)
Descriptors: Analysis of Covariance, Analysis of Variance, Pretests Posttests, Research Design

Embretson, Susan E. – Applied Psychological Measurement, 1996
Conditions under which interaction effects estimated from classical total scores, rather than item response theory trait scores, can be misleading are discussed with reference to analysis of variance (ANOVA). When no interaction effects exist on the true latent variable, spurious interaction effects can be observed from the total score scale. (SLD)
Descriptors: Analysis of Variance, Interaction, Item Response Theory, Models

Finstuen, Kenn; And Others – Educational and Psychological Measurement, 1994
Computation of a one-way analysis of variance (ANOVA) "F" ratio from descriptive statistics in the absence of raw data is corrected from two sources. Means associated with inferential statistical hypotheses are identified as estimable population parameters. (Author)
Descriptors: Analysis of Variance, Computation, Estimation (Mathematics), Hypothesis Testing

Milligan, Glenn W. – Educational and Psychological Measurement, 1987
The use of the arc-sine transformation in analysis of variance can lead to difficult inference situations and pose problems in interpretation. It can also produce tests of noticeably lower power when the null hypothesis is false, and is not recommended as a standard tool. Simulated illustrations are provided. (Author/GDC)
Descriptors: Analysis of Variance, Computer Simulation, Monte Carlo Methods, Statistical Bias

Parkhurst, David F. – Bioscience, 2001
Investigates significance tests as a tool for helping to identify real effects in the face of random variation. Speculates that equivalence tests improve the logic of significance testing when demonstrating similarity is important. Reverse tests can help show that failure to reject a null hypothesis does not support that hypothesis. (Contains 30…
Descriptors: Analysis of Variance, Biology, Higher Education, Research Methodology

Kinnucan, Mark T.; Wolfram, Dietmar – Information Processing and Management, 1990
Describes a technique for statistically comparing bibliometric models and illustrates its use with two examples using Lotka's hypothesis of author productivity and one example using library circulation frequencies. Topics discussed include nested statistical models, analysis of variance, regression, log-linear models, and the likelihood ratio…
Descriptors: Analysis of Variance, Bibliometrics, Chi Square, Comparative Analysis

Hakstian, A. Ralph; And Others – Psychometrika, 1989
Four measurement designs are presented for use with correlation coefficients corrected, in one variable, for attenuation due to unreliability (partially disattenuated). Associated asymptotic variance/covariance expressions are presented. Empirical simulation results illustrate the satisfactory Type I error control and statistical power of the…
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Equations (Mathematics)

Cliff, Norman; Charlin, Ventura – Multivariate Behavioral Research, 1991
Variance formulas of H. E. Daniels and M. G. Kendall (1947) are generalized to allow for the presence of ties and variance of the sample tau correlation. Applications of these generalized formulas are discussed and illustrated using data from a 1965 study of contraceptive use in 15 developing countries. (SLD)
Descriptors: Analysis of Covariance, Analysis of Variance, Contraception, Developing Nations