A practical algorithm to determine the variance of the estimator of a contrast of parameters
Significance tests of contrasts of effects of levels of a factor or of combinations of levels of two or more factors require the knowledge of the estimates of the variances of the estimators of these contrasts. In general, the expressions of these estimates for experiments with complex designs are not available in textbooks. Their algebraic derivation from the equation of the statistical model is tedious. A practical algorithm for obtaining the variance of the estimator of any contrast of parameters for balanced complete designs is presented. The algorithm is based on the expected values of mean squares.
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Pesquisa Agropecuaria Brasileira
1999
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rev-pab-br-article-53152012-02-16T11:45:43Z A practical algorithm to determine the variance of the estimator of a contrast of parameters Um algoritmo prático para determinação da variância do estimador de um contraste de parâmetros Zonta, Élio Paulo Silva, João Gilberto Corrêa da treatment comparisons; balanced complete designs; inference from experiment comparações de tratamentos; delineamentos completos balanceados; inferência de experimento Significance tests of contrasts of effects of levels of a factor or of combinations of levels of two or more factors require the knowledge of the estimates of the variances of the estimators of these contrasts. In general, the expressions of these estimates for experiments with complex designs are not available in textbooks. Their algebraic derivation from the equation of the statistical model is tedious. A practical algorithm for obtaining the variance of the estimator of any contrast of parameters for balanced complete designs is presented. The algorithm is based on the expected values of mean squares. Testes de significância de contrastes de efeitos de níveis de um fator ou de combinações de níveis de dois ou mais fatores requerem o conhecimento das estimativas das variâncias dos estimadores desses contrastes. As expressões dessas estimativas para experimentos com delineamentos complexos, em geral, não são disponíveis em textos. Sua derivação algébrica a partir da equação do modelo estatístico é trabalhosa. Expõe-se um algoritmo prático para a obtenção da variância do estimador de qualquer contraste de parâmetros para delineamentos completos balanceados. O algoritmo baseia-se nos valores esperados dos quadrados médios. Pesquisa Agropecuaria Brasileira Pesquisa Agropecuária Brasileira 1999-07-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://seer.sct.embrapa.br/index.php/pab/article/view/5315 Pesquisa Agropecuaria Brasileira; v.34, n.7, jul. 1999; 1125-1132 Pesquisa Agropecuária Brasileira; v.34, n.7, jul. 1999; 1125-1132 1678-3921 0100-104x por https://seer.sct.embrapa.br/index.php/pab/article/view/5315/2507 |
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Zonta, Élio Paulo Silva, João Gilberto Corrêa da |
| spellingShingle |
Zonta, Élio Paulo Silva, João Gilberto Corrêa da A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| author_facet |
Zonta, Élio Paulo Silva, João Gilberto Corrêa da |
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Zonta, Élio Paulo |
| title |
A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| title_short |
A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| title_full |
A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| title_fullStr |
A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| title_full_unstemmed |
A practical algorithm to determine the variance of the estimator of a contrast of parameters |
| title_sort |
practical algorithm to determine the variance of the estimator of a contrast of parameters |
| description |
Significance tests of contrasts of effects of levels of a factor or of combinations of levels of two or more factors require the knowledge of the estimates of the variances of the estimators of these contrasts. In general, the expressions of these estimates for experiments with complex designs are not available in textbooks. Their algebraic derivation from the equation of the statistical model is tedious. A practical algorithm for obtaining the variance of the estimator of any contrast of parameters for balanced complete designs is presented. The algorithm is based on the expected values of mean squares. |
| publisher |
Pesquisa Agropecuaria Brasileira |
| publishDate |
1999 |
| url |
https://seer.sct.embrapa.br/index.php/pab/article/view/5315 |
| work_keys_str_mv |
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