Question: 52. The general nested classification with a constant number of observations per cell, under model II, has the structure X; jk . .. = P.

52. The general nested classification with a constant number of observations per cell, under model II, has the structure X; jk . .. = P. + Aj + Bij + Cjj k + ... + U;jk .. . , i = 1, .. . , a; j = 1, .. . , b; k = 1, ... , c; .. . . (i) This can be reduced to a canonical form generalizing (101). (ii) There exist UMP unbiased tests of the hypotheses a2 A HA : 2 2 2 sAo, cd .. . aB + d .. . ac + ... +a a2 B HB : 2 2 sAo ยท d ... ac + ... +a

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