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The design and analysis of experiments.

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Model Equivalence in General Linear Models: Set-to-Zero, Sum-to-Zero Restrictions, and Extra Sum of Squares Method

TL;DR: In this article, a treatment structure analysis of variance is performed for general and generalized linear fixed effects models at the university level, and the relationship between them is also presented and in the process, data analysis makes use of two important concepts: the generalized inverse and estimable function.
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Maximum likelihood and restricted maximum likelihood estimators as functions of ordinary least squares and analysis of variance estimators

TL;DR: In this paper, necessary and sufficient conditions are given where the maximum likelihood and restricted maximum likelihood estimators of the parameters are functions of the ordinary least squares (OLS) and analysis of variance (ANOVA) estimators.
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The Relationship of Analysis of Variance to Regression: Part 1. Balanced Designs

TL;DR: The relationship of variance to regression is well-known and is usually set forth in terms of the general linear hypothesis model as mentioned in this paper, and an understanding of the consanguinity of the two methods requires a knowledge of statis.