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http://repositorio.ufla.br/jspui/handle/1/40646| Title: | An elementary proof of fisher-cochran theorem using a geometrical approach |
| Other Titles: | Uma prova elementar do teorema de Fisher-Cochran usando uma abordagem geométrica |
| Keywords: | Chi-squared distribution Quadratic forms Orthogonal projections Distribuição do qui-quadrado Formas quadráticas Projeções ortogonais |
| Issue Date: | 2019 |
| Publisher: | Universidade Federal de Lavras |
| Citation: | CHAVES, L. M.; SOUZA, D. J. de. An elementary proof of fisher-cochran theorem using a geometrical approach. Revista Brasileira de Biometria, Lavras, v. 37, n. 3, p. 372-377, 2019. |
| Abstract: | 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. |
| URI: | http://repositorio.ufla.br/jspui/handle/1/40646 |
| Appears in Collections: | DEG - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_An elementary proof of fisher-cochran theorem using a geometrical approach.pdf | 233,96 kB | Adobe PDF | View/Open |
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