Nonorthogonal Analysis of Variance Using a Generalized Conjugate-Gradient Algorithm
作者:
GeneH. Golub,
StephenG. Nash,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 377
页码: 109-116
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477773
出版商: Taylor & Francis Group
关键词: Nonorthogonal analysis of variance;Missing values;Conjugate-gradient algorithm;Analysis of covariance
数据来源: Taylor
摘要:
A method is developed that computes an exact nonorthogonal analysis of variance using cell means. The method is iterative and does not require that the non-orthogonal design matrix be stored or formed. At each stage in the process, a balanced analysis of variance problem must be solved. A monotonicity property for the estimates of the regression sum of squares is derived that could be used to minimize iteration in hypothesis testing. An application of the algorithm to the solution of analysis of covariance problems is also given.
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