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Rosenthal, Robert; Rubin, Donald B. – Journal of Educational Psychology, 1982
The binomial effect size display (BESD) displays the change in success rate attributable to a treatment procedure. It is readily understandable, applicable in varied contexts, and conveniently computed. (Author/GK)
Descriptors: Mathematical Models, Research Methodology, Statistical Significance, Success
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Rae, Gordon – Educational and Psychological Measurement, 1984
Various indices for measuring agreement among several raters on the presence or absence of a trait can be interpreted as intraclass correlation coefficients. Such a reformulation clarifies the relationships among the measures, simplifies the computations involved, and permits simple significance tests to be carried out. An illustrative example is…
Descriptors: Correlation, Mathematical Models, Observation, Research Methodology
Barcikowski, Robert S.; Elliott, Ronald S. – 1991
The contribution of individual variables to overall multivariate significance in a multivariate analysis of variance (MANOVA) is investigated using a combination of canonical discriminant analysis and Roy-Bose simultaneous confidence intervals. Difficulties with this procedure are discussed, and its advantages are illustrated using examples based…
Descriptors: Comparative Analysis, Correlation, Discriminant Analysis, Mathematical Models
Andor, Csaba; And Others – Evaluation in Education: An International Review Series, 1985
The Galois-lattice is a graphic method for representing all possible developmental phases to reach a given total knowledge via different partial knowledge structures. Algorithms are proposed for incorporating statistical analysis into the Galois-lattice method. A comparison to the Rasch model and application for educational research are given. (BS)
Descriptors: Algorithms, Educational Research, Elementary Secondary Education, Mathematical Models
Rosenthal, Robert – 1989
An overview of the state of the art in psychological research is presented, with an emphasis on the attention given to effect sizes. The acceptance of small effect sizes for biomedical research is contrasted with the rejection of similar effect sizes for psychological research. The Binomial Effect Size Display is used to depict the practical…
Descriptors: Effect Size, Mathematical Models, Meta Analysis, Psychological Studies
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Shine, Lester C., II – Educational and Psychological Measurement, 1982
The interpretation of significant left-tailed analysis of variance (ANOVA) F-ratios is supported by considering the case of a fixed effects ANOVA model. The conclusions of this case are generalizable to other standard ANOVA models. (Author/PN)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
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Mueser, Peter – American Sociologist, 1990
Counters arguments of Donald N. McClosky on formalism in the social sciences and claims he fails to identify important arguments that justify the practices he criticizes. Agrees that, although exposing accepted methods to critical examination is useful, this broad attack implies the rejection of good social science as well as bad. (NL)
Descriptors: Economic Research, Economics, Higher Education, Mathematical Models
Keats, John B.; Brewer, James K. – 1971
This paper presents an index of goodness-of-fit for comparing m models over n trials. The index allows for differentiated weighting of the trials as to their importance in the comparison of the models. Several possible weighting schemes are suggested and the conditions on the weights which assure asymptotic normality of the index distribution are…
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
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Lissitz, Robert W.; Halperin, Silas – Educational and Psychological Measurement, 1971
Descriptors: Behavioral Science Research, Computer Programs, Hypothesis Testing, Mathematical Models
Tracz, Susan M.; And Others – 1986
The purpose of this paper is to demonstrate how multiple linear regression provides a viable statistical methodology for dealing with meta-analysis in general, and specifically with the issues of nonindependence and design complexity, such as multiple treatments. Since the F-test and t-test are special cases of the general linear model,…
Descriptors: Effect Size, Mathematical Models, Meta Analysis, Multiple Regression Analysis
Lord, Frederic M. – 1973
Faced with a nonstandard, complicated practical problem in statistical inference, the applied statistician sometimes must use asymptotic approximations in order to compute standard errors and confidence intervals and to test hypotheses. This usually requires that he derive formulas for one or more asymptotic sampling variances (and covariances)…
Descriptors: Computer Programs, Data Processing, Error of Measurement, Hypothesis Testing
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Charter, Richard A. – Educational and Psychological Measurement, 1982
Practical formulas for several analysis of variance (ANOVA) designs and models are presented which make it possible for readers to compute strength of association measures without the use of complete ANOVA tables. (Author/PN)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Formulas, Mathematical Models
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McCloskey, Donald N. – American Sociologist, 1990
Refutes Peter Mueser's criticisms of the author's position on formalistic research approaches. Restates that statistical significance is virtually useless. Claims mathematical economists take their intellectual positions from mathematics departments bringing irrelevant intellectual values into economics. (NL)
Descriptors: Abstract Reasoning, Economic Research, Economics, Higher Education
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Zimmerman, Donald W.; And Others – Applied Psychological Measurement, 1993
Some of the methods originally used to find relationships between reliability and power associated with a single measurement are extended to difference scores. Results, based on explicit power calculations, show that augmenting the reliability of measurement by reducing error score variance can make significance tests of difference more powerful.…
Descriptors: Equations (Mathematics), Error of Measurement, Individual Differences, Mathematical Models
Reinhardt, Brian M. – 1992
Statistical significance is often inappropriately equated with evaluating result importance and evaluating result replicability, even though these are three somewhat different issues. The prudent researcher must separately assess each of these elements of the "research triumvirate" by using different methods. This paper focuses on two…
Descriptors: Comparative Analysis, Computer Uses in Education, Estimation (Mathematics), Heuristics
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