島根農科大学研究報告

Shimane Agricultural College

ISSN:0559-8311

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Use this link to cite this item : https://ir.lib.shimane-u.ac.jp/4335

島根農科大学研究報告 4

1956-05-30 発行

分散分析における1公式について

On a Formula in the Analysis of Variance.

Singu, Tadao

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The formula for the analysis of variance in the case of two variables of ciassification with repeated measurements in each cell is not unique. According to the probability-model, some formulas are right but some are wrong. Namely, when the interaction exists, even in the orthogonal case, the formula for the variance-ratio (F-ratio) may be written in two ways ; one has the interaction mean-square as its denominator while the other has tbe within-groups mean-square as its denominator. In this study I have discussed which method would be more reasonable in ordinary experiments. The conclusion is as follows :
Only in the model I (systematic set-up) the former is usable, but in the model II (random-set-up) the latter should be used.

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d0020004n022.pdf 597 KB

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