Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 440-448.

• Articles • Previous Articles     Next Articles

ASYMPTOTIC DISTRIBUTION OF LIKELIHOOD RATIO STATISTIC FOR TESTING SPHERICTY IN GROWTH CURVE MODELS

Gong Liqiang   

  1. South China Construction University, Guangzhou 510405, China
  • Received:1996-07-24 Revised:1997-09-01 Online:1998-12-25 Published:1998-12-25

Abstract: In this paper, asymptotic expansions of the distribution of the likelihood ratio statistic for testing sphericity in a crowth curve model have been derived in the null and nonnull cases when the alternatives are dose to the null hypothesis. These expansions are given in series form of beta distributions.

Key words: Likelihood ratio statistic, Sphericity test, Moment

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