Abstract
This paper is concerned with methods for analyzing quantitative, non-categorical profile data, e.g., a battery of tests given to individuals in one or more groups. It is assumed that the variables have a multinormal distribution with an arbitrary variance-covariance matrix. Approximate procedures based on classical analysis of variance are presented, including an adjustment to the degrees of freedom resulting in conservative F tests. These can be applied to the case where the variance-covariance matrices differ from group to group. In addition, exact generalized multivariate analysis methods are discussed. Examples are given illustrating both techniques.
Keywords
Categorical variableDegrees of freedom (physics and chemistry)Analysis of covarianceCovarianceMathematicsCovariance matrixStatisticsVariance (accounting)Analysis of varianceMultivariate statisticsApplied mathematicsMultivariate analysisMultivariate analysis of varianceMultivariate normal distribution
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Publication Info
- Year
- 1959
- Type
- article
- Volume
- 24
- Issue
- 2
- Pages
- 95-112
- Citations
- 4879
- Access
- Closed
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Cite This
Samuel W. Greenhouse,
Seymour Geisser
(1959).
On Methods in the Analysis of Profile Data.
Psychometrika
, 24
(2)
, 95-112.
https://doi.org/10.1007/bf02289823
Identifiers
- DOI
- 10.1007/bf02289823