Sankhya: The Indian Journal of Statistics

1996, Volume 58, Series B, Pt. 1, pp. 45--50

TESTING HYPOTHESIS IN THE ANALYSIS OF VARIANCE FOR SOME-CELLS-EMPTY DATA

By

ANDREW L. RUKHIN, University of Maryland at Bultimore County

SUMMARY.  The unbalanced analysis of variance model with possibly missing observations is studied. A class of statistical tests is obtained via a decomposition of the sum of squares of observations derivations from the weighted grand mean. This result is derived by the spectral decomposition of the corresponding matrix.

AMS (1990) subject classification. Primary 62H15; secondary 62E15.

Key words and phrases. Analysis of variance, missing observations, spectral decomposition, testable hypotheses, weighted means.

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