MAXIMUM-LIKELIHOOD ESTIMATION FOR MIXED ANALYSIS OF VARIANCE MODEL

MAXIMUM-LIKELIHOOD ESTIMATION FOR MIXED ANALYSIS OF VARIANCE MODEL
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DOI:
10.1093/biomet/54.1-2.93
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发表时间:
1967-01-01
期刊:
影响因子:
2.7
通讯作者:
RAO, JNK
RAO, JNK
中科院分区:
数学2区
文献类型:
--
作者:
HARTLEY, HO;RAO, JNK

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本文给出了一般混合方差分析模型中未知常数和方差的极大似然估计的一种方法,该模型包括固定因子和随机因子以及它们之间的相互作用。该方法适用于设计矩阵满足一定条件的所有情况。讨论了估计的相合性和渐近有效性。假设和置信区间的检验。
A procedure is developed for the maximum-likelihood estimation of the unknown constants and variances included in the general mixed analysis of variance model, involving fixed and random factors and interactions. The method applies to all cases where the design matrices satisfy certain conditions. The consistency and asymptotic efficiency of the estimates are discussed. Tests of hypotheses and confidence regions are derived.