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Peer reviewedLevy, Kenneth J. – Educational and Psychological Measurement, 1977
The importance of the assumption of normality for testing that a bivariate normal correlation equals zero is examined. Both empirical and theoretical evidence suggest that such tests are robust with respect to violation of the normality assumption. (Author/JKS)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing
Peer reviewedKennedy, John J. – Educational and Psychological Measurement, 1970
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Probability
Peer reviewedWallenstein, Sylvan; Fleiss, Joseph L. – Psychometrika, 1979
The multiplicative correction term for the degrees of freedom in a repeated measures analysis of variance table is given for the cases in which there is equal variability per time point, and the correlation between observations is k time units apart. This correction equals the correlation coefficient raised to the kth power. (JKS)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Matrices
Boruch, Robert F.; Dutton, Jeffrey E. – Educ Psychol Meas, 1970
Descriptors: Analysis of Variance, Computer Programs, Correlation, Hypothesis Testing
Peer reviewedToothaker, Larry E.; And Others – Journal of Educational Statistics, 1983
Several methods have been proposed for the analysis of data from single-subject research settings. This research focuses on two methods which have been proposed in previous articles. Criticisms of the methods are presented along with recommendations for practice. (Author/JKS)
Descriptors: Analysis of Variance, Case Studies, Correlation, Hypothesis Testing
Peer reviewedKristof, Walter – Psychometrika, 1972
This paper is devoted to the study of a certain statistic, u, defined on samples from a bivariate population with two variances and correlation p. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Hypothesis Testing
Brennan, Robert L.; Light, Richard J. – 1973
Basic to many psychological investigations is the question of agreement between observers who independently categorize people. Several recent studies have proposed measures of agreement when a set of nominal scale categories have been pre-defined and imposed on both observers. This study, in contrast, developes a measure of agreement for settings…
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Rating Scales
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 reviewedKeren, Gideon; Lewis, Charles – Educational and Psychological Measurement, 1979
The importance of measuring the size of an effect for fixed effects factorial analysis of variance designs is emphasized. Technical issues in such measurement are considered and examples are provided. (Author/JKS)
Descriptors: Analysis of Variance, Correlation, Factor Analysis, Hypothesis Testing
The Invalidity of Partitioned-U Tests in Canonical Correlation and Multivariate Analysis of Variance
Peer reviewedHarris, Richard J. – Multivariate Behavioral Research, 1976
The partitioned-U procedure is outlined, a fundamental logical flaw in this procedure's avoidance of any direct test of the significance of the first discriminant function or largest coefficient of canonical correlation is pointed out, and two alternatives to the partitioned-U procedure are discussed. (Author/DEP)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Multivariate Analysis
Sockloff, Alan L. – 1974
An equation was derived to determine the relationship between the pooled within-subgroup r (correlation coefficient) and the r obtained from the total group data. It was, thus, possible to assess the amount of distortion introduced by pooling heterogeneous subgroups. As a basis for deciding whether to pool two subgroups in order to calculate a…
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Mathematical Models
Peer reviewedBlair, R. Clifford; Higgins, J.J. – Educational and Psychological Measurement, 1978
The controversy surrounding regression methods for unbalanced factorial designs is addressed. The statistical hypotheses being tested under the various methods, as well as salient issues in the use of these methods, are discussed. The use of statistical computer packages is also discussed. (Author/JKS)
Descriptors: Analysis of Variance, Computers, Correlation, Hypothesis Testing
Peer reviewedPavur, Robert; Nath, Ravinder – Multivariate Behavioral Research, 1984
Several general correlation patterns are shown which give exact F tests in an analysis of variance (ANOVA) procedure. They are the most general correlation patterns one can assume in a one-way and two-way layout and still have the F tests be valid. (Author/BW)
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Data Interpretation
Peer reviewedHuberty, Carl J. – Educational and Psychological Measurement, 1983
The basic notion of variability is generalized from a univariate context to a multivariate context using two matrix functions, a determinant, and a trace, yielding a number of alternative multivariate indices of shared variation. Some problems in the interpretation of tests of multivariate hypotheses are reviewed. (Author/BW)
Descriptors: Analysis of Variance, Correlation, Data Analysis, Hypothesis Testing
Niskanen, Erkki A. – 1968
This monograph contains the second section, operations at the variable level, of a report of studies done in Helsinki, Finland, describing school achievement in terms of ability, trait, situational, and background variables. The report (1) investigates the structure of school achievement, (2) describes school achievement in terms of selected…
Descriptors: Academic Achievement, Analysis of Variance, Correlation, Hypothesis Testing


