Pointwise estimate of the power and sample size determination for permutation tets
A method is presented for the estimation of the power of permutation tests when F is unknown. It is based on the natural plug-in of the empirical distribution in the structure of the statistical test, giving the bootstrap power. The consistency of the permutational bootstrap test is shown. Moreover,...
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| Format: | Article |
| Language: | English |
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University of Bologna
2007-10-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/441 |
| _version_ | 1819083617872117760 |
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| author | Daniele De Martini |
| author_facet | Daniele De Martini |
| author_sort | Daniele De Martini |
| collection | DOAJ |
| description | A method is presented for the estimation of the power of permutation tests when F is unknown. It is based on the natural plug-in of the empirical distribution in the structure of the statistical test, giving the bootstrap power. The consistency of the permutational bootstrap test is shown. Moreover, to determine the sample size m of permutation tests starting from a pilot sample of size n, the "Mapped Bootstrap" is introduced. The Mapped Bootstrap works for a fixed m and is consistent as the pilot sample size n tends to infinity. |
| first_indexed | 2024-12-21T20:35:25Z |
| format | Article |
| id | doaj.art-e47408aaa0a34285a24d84f9949f2d98 |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-12-21T20:35:25Z |
| publishDate | 2007-10-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-e47408aaa0a34285a24d84f9949f2d982022-12-21T18:51:08ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-0162477979010.6092/issn.1973-2201/441432Pointwise estimate of the power and sample size determination for permutation tetsDaniele De MartiniA method is presented for the estimation of the power of permutation tests when F is unknown. It is based on the natural plug-in of the empirical distribution in the structure of the statistical test, giving the bootstrap power. The consistency of the permutational bootstrap test is shown. Moreover, to determine the sample size m of permutation tests starting from a pilot sample of size n, the "Mapped Bootstrap" is introduced. The Mapped Bootstrap works for a fixed m and is consistent as the pilot sample size n tends to infinity.http://rivista-statistica.unibo.it/article/view/441 |
| spellingShingle | Daniele De Martini Pointwise estimate of the power and sample size determination for permutation tets Statistica |
| title | Pointwise estimate of the power and sample size determination for permutation tets |
| title_full | Pointwise estimate of the power and sample size determination for permutation tets |
| title_fullStr | Pointwise estimate of the power and sample size determination for permutation tets |
| title_full_unstemmed | Pointwise estimate of the power and sample size determination for permutation tets |
| title_short | Pointwise estimate of the power and sample size determination for permutation tets |
| title_sort | pointwise estimate of the power and sample size determination for permutation tets |
| url | http://rivista-statistica.unibo.it/article/view/441 |
| work_keys_str_mv | AT danieledemartini pointwiseestimateofthepowerandsamplesizedeterminationforpermutationtets |