费雪-柯克兰定理的几何初等证明

Q4 Medicine

Revista Brasileira de Biometria Pub Date : 2019-09-26 DOI:10.28951/rbb.v37i3.405

L. Chaves, Devanil Jaques de Souza

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引用次数: 0

摘要

经典的费雪-科克伦定理是统计学许多领域的基本结果，如方差分析和假设检验。一般来说，这个定理是用线性代数参数证明的。给出了一个基于线性子空间和正交投影等几何概念的初等证明，它可以提高我们对结果的直觉。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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AN ELEMENTARY PROOF OF FISHER-COCHRAN THEOREM USING A GEOMETRICAL APPROACH

The classical Fisher-Cochran theorem is a fundamental result in many areas of statistics as analysis of variance and hypothesis tests. In general this theorem is proved with linear algebraic arguments. An elementary proof is present, based strongly on geometrical concepts as linear subspaces and orthogonal projections, which may improve our intuition about the result.

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来源期刊

Revista Brasileira de Biometria Agricultural and Biological Sciences-Agricultural and Biological Sciences (all)

自引率

0.00%

发文量

审稿时长

53 weeks