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Zimmerman, Donald W. – Journal of Experimental Education, 1986
A computer program randomly sampled ordered pairs of scores from known populations that departed from bivariate normal form and calculated correlation coefficients from sample values. Hypotheses were tested (1) that population correlations are zero using the t statistic; and (2) that population correlations have non-zero values using the r to z…
Descriptors: Correlation, Hypothesis Testing, Sampling, Statistical Distributions

Osborne, David; And Others – Journal of Clinical Psychology, 1986
Recent work with the F-K index of the MMPI (Minnesota Multiphasic Personality Inventory) has reaffirmed its usefulness for identifying dissimulation. Presents normative tables for the F-K index based on a contemporary normative sample of 335 normal women and 304 normal men. (Author/ABB)
Descriptors: Personality Measures, Predictive Validity, Statistical Distributions, Test Norms

Noma, Elliot; Olivastro, Dominic – Journal of the American Society for Information Science, 1985
A study comparing citations received by patents in given year to number received in subsequent years found that, even though influential patents remain influential, both highly and infrequently cited patents age at same rate. Distribution of patents by number of citations received is stable over time. (17 references) (EJS)
Descriptors: Citations (References), Comparative Analysis, Matrices, Models
Clark, Roger A. – Adult Literacy and Basic Education, 1984
This article systematically analyzes four widely used types of definitions for literacy and points out their usefulness for practitioners and implications for policy and practice. It is implied throughout that the accepted definition of literacy reflects the practitioner's philosophy of learning and influences practice. (Author/CT)
Descriptors: Definitions, Educational Philosophy, Educational Policy, Educational Practices

Walberg, Herbert J.; And Others – Review of Educational Research, 1984
This paper demonstrates the variety of positive-skew phenomena and discusses their theoretical, research, and practical implications in education. (PN)
Descriptors: Academic Achievement, Data Analysis, Research Problems, Scores

Aiken, Lewis R. – Educational and Psychological Measurement, 1983
A procedure and a computing diagram for assigning score boundaries to grading categories on classroom tests are described. The procedure takes both the median ability level of the class and the test performance of the class relative to that of other classes into account. (Author)
Descriptors: Grades (Scholastic), Grading, Scores, Scoring
Garner, Mary; Engelhard, George, Jr. – 1997
This paper considers the following questions: (1) what is the relationship between the method of paired comparisons and Rasch measurement theory? (2) what is the relationship between the method of paired comparisons and graph theory? and (3) what can graph theory contribute to the understanding of Rasch measurement theory? It is specifically shown…
Descriptors: Comparative Analysis, Estimation (Mathematics), Graphs, Item Response Theory
Vargha, Andras; Delaney, Harold D. – 2000
In this paper, six statistical tests of stochastic equality are compared with respect to Type I error and power through a Monte Carlo simulation. In the simulation, the skewness and kurtosis levels and the extent of variance heterogeneity of the two parent distributions were varied across a wide range. The sample sizes applied were either small or…
Descriptors: Comparative Analysis, Monte Carlo Methods, Robustness (Statistics), Sample Size

Messick, David M. – Educational and Psychological Measurement, 1982
Formulae and graphs are presented allowing computation of the variances of three prototypical distributions over a finite number of categories. The uses of the variances of the maximum variance distribution, the uniform distribution and a unimodal triangular distribution to make inferences about distribution shapes are shown in several examples.…
Descriptors: Analysis of Variance, Hypothesis Testing, Responses, Statistical Analysis

Stacy, E. Webb, Jr. – Evaluation and Program Planning: An International Journal, 1981
The use of prevalence data is discussed to help find the best way to separate at-risk and not-at-risk groups. Implications of the data being distributed normally are also discussed and several examples, including one with a nonnormal distribution, are given. (Author/GK)
Descriptors: High Risk Persons, Incidence, Mathematical Models, Mental Health Programs

Stavig, Gordon R. – Perceptual and Motor Skills, 1982
The normalized mean is developed and discussed as a descriptive measure of central location. The advantages of the normalized mean over the arithmetic mean, median, and trimmed mean are discussed. (Author)
Descriptors: Mathematical Formulas, Research Problems, Scores, Statistical Analysis

Hedges, Larry V. – Journal of Educational Statistics, 1981
Glass's estimator of effect size, the sample mean difference divided by the sample standard deviation, is studied in the context of an explicit statistical model. The exact distribution of Glass's estimator is obtained and the estimator is shown to have a small sample bias. Alternatives are proposed and discussed. (Author/JKS)
Descriptors: Data Analysis, Error of Measurement, Mathematical Models, Research Design

Baker, Frank B. – Applied Psychological Measurement, 1996
Using the characteristic curve method for dichotomously scored test items, the sampling distributions of equating coefficients were examined. Simulations indicate that for the equating conditions studied, the sampling distributions of the equating coefficients appear to have acceptable characteristics, suggesting confidence in the values obtained…
Descriptors: Equated Scores, Item Response Theory, Sampling, Statistical Distributions

Harwell, Michael – Journal of Experimental Education, 1997
The meta-analytic method proposed by S. W. Raudenbush (1988) for studying variance heterogeneity was studied. Results of a Monte Carlo study indicate that the Type I error rate of the test is sensitive to even modestly platykurtic score distributions and to the ratio of study sample size to the number of studies. (SLD)
Descriptors: Meta Analysis, Monte Carlo Methods, Research Reports, Sample Size

Bedrick, Edward J. – Psychometrika, 1997
A simple approximation to the conditional distribution of goodness-of-fit statistics for the Rasch model is presented that is used when item difficulties are known. The approximation, which is easily programmed, gives relatively accurate assessments of conditional p-values for tests of 10 or more items. (Author/SLD)
Descriptors: Difficulty Level, Goodness of Fit, Item Response Theory, Statistical Distributions