Abstract
A procedure for computing the power of the likelihood ratio test used in the context of covariance structure analysis is derived. The procedure uses statistics associated with the standard output of the computer programs commonly used and assumes that a specific alternative value of the parameter vector is specified. Using the noncentral Chi-square distribution, the power of the test is approximated by the asymptotic one for a sequence of local alternatives. The procedure is illustrated by an example. A Monte Carlo experiment also shows how good the approximation is for a specific case.
Keywords
CovarianceMathematicsLikelihood-ratio testMonte Carlo methodStatisticsContext (archaeology)Power (physics)Sequence (biology)Applied mathematics
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Publication Info
- Year
- 1985
- Type
- article
- Volume
- 50
- Issue
- 1
- Pages
- 83-90
- Citations
- 478
- Access
- Closed
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Cite This
Albert Satorra,
Willem E. Saris
(1985).
Power of the Likelihood Ratio Test in Covariance Structure Analysis.
Psychometrika
, 50
(1)
, 83-90.
https://doi.org/10.1007/bf02294150
Identifiers
- DOI
- 10.1007/bf02294150