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Peer reviewedRubin, Donald B. – Journal of Educational Statistics, 1981
The use of Bayesian and empirical Bayesian techniques to summarize results from parallel randomized experiments is illustrated using the results of eight such experiments from an SAT coaching study. Graphical techniques, simulation techniques, and methods for monitoring the adequacy of model specification are highlighted. (Author/JKS)
Descriptors: Bayesian Statistics, Data Analysis, Educational Experiments, Goodness of Fit
Peer reviewedHowell, David C.; McConaughy, Stephanie H. – Educational and Psychological Measurement, 1982
It is argued here that the choice of the appropriate method for calculating least squares analysis of variance with unequal sample sizes depends upon the question the experimenter wants to answer about the data. The different questions reflect different null hypotheses. An example is presented using two alternative methods. (Author/BW)
Descriptors: Analysis of Variance, Hypothesis Testing, Least Squares Statistics, Mathematical Models
Peer reviewedHakstian, A. Ralph; And Others – Multivariate Behavioral Research, 1982
Issues related to the decision of the number of factors to retain in factor analyses are identified. Three widely used decision rules--the Kaiser-Guttman (eigenvalue greater than one), scree, and likelihood ratio tests--are investigated using simulated data. Recommendations for use are made. (Author/JKS)
Descriptors: Algorithms, Data Analysis, Factor Analysis, Factor Structure
Peer reviewedZwick, William R. – Multivariate Behavioral Research, 1982
The performance of four rules for determining the number of components (factors) to retain (Kaiser's eigenvalue greater than one, Cattell's scree, Bartlett's test, and Velicer's Map) was investigated across four systematically varied factors (sample size, number of variables, number of components, and component saturation). (Author/JKS)
Descriptors: Algorithms, Data Analysis, Factor Analysis, Factor Structure
Peer reviewedLane, David M. – Multivariate Behavioral Research, 1981
Problems in testing main effects in regression analysis when there is interaction are discussed. A method by which main effects can be tested independently of the interaction is developed and compared with the hierarchical method. The method provides control of the type I error rate, but is quite conservative. (Author/JKS)
Descriptors: Aptitude Treatment Interaction, Data Analysis, Hypothesis Testing, Mathematical Models
Peer reviewedRevelle, William; Rocklin, Thomas – Multivariate Behavioral Research, 1979
A new procedure for determining the optimal number of interpretable factors to extract from a correlation matrix is introduced and compared to more conventional procedures. The new method evaluates the magnitude of the very simple structure index of goodness of fit for factor solutions of increasing rank. (Author/CTM)
Descriptors: Factor Analysis, Goodness of Fit, Hypothesis Testing, Research Design
Peer reviewedWilliams, John T. – Multiple Linear Regression Viewpoints, 1979
A process is described for multiple comparisons when covariates are involved in the analysis. The method can be accomplished with considerable ease whenever pairwise comparisons are involved. More complex contrasts require the use of full and restricted models of variance. (CTM)
Descriptors: Analysis of Covariance, Comparative Analysis, Hypothesis Testing, Multiple Regression Analysis
Peer reviewedOlejnik, Stephen F.; Porter, Andrew C. – Journal of Educational Statistics, 1981
The evaluation of competing analysis strategies based on estimator bias and variance is demonstrated using gains in standard scores and analysis of covariance procedures for quasi-experiments conforming to the fan-spread hypothesis. The findings do not lead to a uniform recommendation of either approach. (Author/JKS)
Descriptors: Bias, Data Analysis, Evaluation, Hypothesis Testing
Peer reviewedKraemer, 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 reviewedMitchell, Christine; Ault, Ruth L. – Child Development, 1979
In terms of Kagan's theory of the problem-solving process, this study explores the relationship between reflection-impulsivity, hypothesis generation and testing, and evaluation of the quality of one's own solutions among children approximately 8 to 12 years old. (JMB)
Descriptors: Children, Cognitive Processes, Cognitive Style, Conceptual Tempo
Peer reviewedShine, Lester C. II – Educational and Psychological Measurement, 1980
When reporting results, researchers must not change predetermined significance levels. Such attempts to make results more significant are statistically inaccurate, illogical, and unethical. American Psychological Association standards for reporting significance should be more explicit. (CP)
Descriptors: Ethics, Hypothesis Testing, Research Design, Research Reports
Peer reviewedTunick, Roy H.; And Others – Journal of Correctional Education, 1981
Identifies the purpose and need for a vocational evaluation process in the correctional setting. Discusses the five steps in such a process: preliminary intake procedure, primary data gathering, hypothesis formulation phase, hypothesis testing phase, and outcome and/or follow-up. CCT)
Descriptors: Correctional Education, Data Collection, Followup Studies, Hypothesis Testing
Peer reviewedMaxwell, Scott E. – Journal of Educational Statistics, 1980
Five methods of performing pairwise multiple comparisons in repeated measures designs were investigated. Consideration of both Type I and Type II error rates found in the simulated conditions for the five procedures suggests that a Bonferroni method utilizing a separate error term for each comparison should be employed. (Author/JKS)
Descriptors: Analysis of Covariance, Analysis of Variance, Hypothesis Testing, Research Design
Peer reviewedDockrell, Julie; And Others – International Journal of Behavioral Development, 1980
Replicates the study by McGarrigle and Donaldson (1975). Considers several objections to McGarrigle and Donaldson's claim that the tasks they used did in fact test the child's ability to conserve number. A procedure free from these objections was employed in a second experiment. Discusses implications for the social psychology of the conservation…
Descriptors: Cognitive Ability, Conservation (Concept), Hypothesis Testing, Measures (Individuals)
Peer reviewedAgresti, Alan; And Others – Psychometrika, 1979
A procedure for approximating attained significance levels of exact conditional tests is proposed. The procedure utilizes a sampling from the null distribution of tables having the same marginal frequencies as the observed tables. (Author/JKS)
Descriptors: Data Analysis, Expectancy Tables, Hypothesis Testing, Nonparametric Statistics


