Last Updated :2025/12/05

Behrens-Fisher problem

Noun
Japanese Meaning
統計学において、2つの正規分布に従う母集団の平均値の差を推定または検定する際、各母集団の分散が等しいとは仮定せず、2つの独立したサンプルに基づいて行われる問題。
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分散が等しくない2つの臨床試験群の平均を比較する際には、2つの母集団が正規分布し、分散が等しいとは仮定できない場合の平均の差に関する区間推定と仮説検定の問題に対処する必要があり、そうして初めて妥当な結論が得られます。

plural

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(statistics) The problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples.

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Behrens-Fisher problem

When comparing two clinical trial groups with unequal variances, we need to address the Behrens-Fisher problem to draw valid conclusions about the difference in means.

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When comparing two clinical trial groups with unequal variances, we need to address the Behrens-Fisher problem to draw valid conclusions about the difference in means.

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