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Frederick, Brigitte N. – 1999
Most researchers using analysis of variance (ANOVA) use a fixed-effects model. However, a random- or mixed-effects model may be a more appropriate fit for many research designs. One benefit of the random- and mixed-effects models is that they yield more generalizable results. This paper focuses on the similarities and differences between the…
Descriptors: Analysis of Variance, Mathematical Models, Research Design
Peer reviewed Peer reviewed
Knapp, Thomas R. – American Educational Research Journal, 1970
Descriptors: Analysis of Variance, Mathematical Models, Statistical Analysis
Terranova, Carmelo – Educ Psychol Meas, 1970
Descriptors: Analysis of Variance, Computer Programs, Mathematical Models
Zimmerman, Donald W. – J Exp Educ, 1969
Research supported by the National Research Council of Canada, Grant APA-252-2057-B.
Descriptors: Analysis of Variance, Mathematical Models, Scoring, Test Reliability
Peer reviewed Peer reviewed
Levy, Kenneth J. – Educational and Psychological Measurement, 1976
Marascuilo (1966) proposes a chi square analog of Scheffe's multiple comparisons procedure. With respect to pairwise comparisons among k independent correlation coefficients, a multiple range procedure will produce lower critical values than the corresponding chi square values, thereby increasing the power of the resulting tests. Basis of the…
Descriptors: Analysis of Variance, Correlation, Mathematical Models, Statistical Significance
Peer reviewed Peer reviewed
Marascuilo, Leonard A.; Levin, Joel R. – American Educational Research Journal, 1976
An alternative is proposed to the usual Interaction and Nested Analysis of Variance (ANOVA) models by which a researcher will be able to investigate both interaction and nested questions in the same experiment without committing Type IV errors. (RC)
Descriptors: Analysis of Variance, Hypothesis Testing, Interaction, Mathematical Models
Brown, David Lile – 1969
FANTAB is a computer program written in Fortran IV which helps design factorial analysis of variance tables and provides formulae for table entries. It is a computerization of a paper entitled: "Rules of Thumb for Writing the Anova Table" (Millman and Glass, 1967). FANTAB is appropriate for factorial models which have two, three, or four…
Descriptors: Analysis of Variance, Computer Programs, Factor Analysis, Mathematical Models
Lindley, Dennis V. – 1972
The standard statistical analysis of data classified in two ways (say into rows and columns) is through an analysis of variance that splits the total variation of the data into the main effect of rows, the main effect of columns, and the interaction between rows and columns. This paper presents an alternative Bayesian analysis of the same…
Descriptors: Analysis of Variance, Bayesian Statistics, Mathematical Models, Statistical Significance
Peer reviewed Peer reviewed
Dickinson, Terry L. – Educational and Psychological Measurement, 1976
Linear models are available for describing dominance and composition judgements. These models include parameters for the scale values of the stimuli, response order bias, and interaction between stimuli, all of which may be evaluated with analysis of variance procedures. (Author)
Descriptors: Analysis of Variance, Computer Programs, Data Analysis, Mathematical Models
Peer reviewed Peer reviewed
Huck, Schuyler W.; Malgady, Robert G. – Educational and Psychological Measurement, 1978
The computation of F ratios from cell means and standard deviations is shown for a two-way analysis of variance. (JKS)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
Peer reviewed Peer reviewed
Gaebelein, Jacquelyn W.; Soderquist, David R. – Educational and Psychological Measurement, 1978
Procedures to estimate the magnitude of a treatment effect are examined for analysis of variance (ANOVA) designs which have repeated-measures. In particular, it is argued that the estimate of utility (strength of effect) for a within-subjects variable should be adjusted to reflect the underlying ANOVA model. (Author/JKS)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Research Design
Peer reviewed Peer reviewed
Sirotnik, Ken – Educational and Psychological Measurement, 1970
Descriptors: Analysis of Variance, Item Sampling, Mathematical Models, Statistical Analysis
Peer reviewed Peer reviewed
Boruch, Robert F.; And Others – Educational and Psychological Measurement, 1970
Descriptors: Analysis of Variance, Factor Analysis, Factor Structure, Mathematical Models
Peer reviewed Peer reviewed
Stoloff, Peter H. – Educational and Psychological Measurement, 1970
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Statistical Significance
Peer reviewed Peer reviewed
Zucker, David M. – Educational and Psychological Measurement, 1990
A major pitfall with fixed-effects analysis of variance in the nested design is illustrated. Under the null hypothesis of no intervention effect, the rejection rate for "F(sub fixed)" in the nested design is greater than the putative Type I error rate of the test, potentially to an extreme degree. (Author/TJH)
Descriptors: Analysis of Variance, Equations (Mathematics), Mathematical Models, Research Problems
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