Testing the Equivalence of Binomial and Poisson Distributions
碩士 === 國立成功大學 === 統計學系碩博士班 === 95 === A range test is proposed for testing the hypothesis of equivalence of binomial proportions and Poisson parameters, respectively against the alternative hypothesis of inequivalence. Variance stabilization transformations for both binomial and Poisson random varia...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2007
|
Online Access: | http://ndltd.ncl.edu.tw/handle/73194715352144189180 |
id |
ndltd-TW-095NCKU5337003 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-TW-095NCKU53370032015-10-13T14:16:09Z http://ndltd.ncl.edu.tw/handle/73194715352144189180 Testing the Equivalence of Binomial and Poisson Distributions 二項與波氏分配之等價檢定 Yen-Tzu Chen 陳妍孜 碩士 國立成功大學 統計學系碩博士班 95 A range test is proposed for testing the hypothesis of equivalence of binomial proportions and Poisson parameters, respectively against the alternative hypothesis of inequivalence. Variance stabilization transformations for both binomial and Poisson random variables are used to remove unknown parameters in the variances. Both the maximum level and the minimum power of the proposed test associated with these hypotheses can be approximated by normal theory at the corresponding least favorable configurations of parameters. For a given level and a given power, the critical value and the required sample size for an experiment can be simultaneously determined, and a computer program is developed for such purpose. Miin-Jye Wen 溫敏杰 2007 學位論文 ; thesis 79 en_US |
collection |
NDLTD |
language |
en_US |
format |
Others
|
sources |
NDLTD |
description |
碩士 === 國立成功大學 === 統計學系碩博士班 === 95 === A range test is proposed for testing the hypothesis of equivalence of binomial proportions and Poisson parameters, respectively against the alternative hypothesis of inequivalence. Variance stabilization
transformations for both binomial and Poisson random variables are used to remove unknown parameters in the variances. Both the maximum level and the minimum power of the proposed test associated with these hypotheses can be approximated by normal theory at the corresponding least favorable configurations of parameters. For a given level and a given power, the critical value and the required
sample size for an experiment can be simultaneously determined, and a computer program is developed for such purpose.
|
author2 |
Miin-Jye Wen |
author_facet |
Miin-Jye Wen Yen-Tzu Chen 陳妍孜 |
author |
Yen-Tzu Chen 陳妍孜 |
spellingShingle |
Yen-Tzu Chen 陳妍孜 Testing the Equivalence of Binomial and Poisson Distributions |
author_sort |
Yen-Tzu Chen |
title |
Testing the Equivalence of Binomial and Poisson Distributions |
title_short |
Testing the Equivalence of Binomial and Poisson Distributions |
title_full |
Testing the Equivalence of Binomial and Poisson Distributions |
title_fullStr |
Testing the Equivalence of Binomial and Poisson Distributions |
title_full_unstemmed |
Testing the Equivalence of Binomial and Poisson Distributions |
title_sort |
testing the equivalence of binomial and poisson distributions |
publishDate |
2007 |
url |
http://ndltd.ncl.edu.tw/handle/73194715352144189180 |
work_keys_str_mv |
AT yentzuchen testingtheequivalenceofbinomialandpoissondistributions AT chényánzī testingtheequivalenceofbinomialandpoissondistributions AT yentzuchen èrxiàngyǔbōshìfēnpèizhīděngjiàjiǎndìng AT chényánzī èrxiàngyǔbōshìfēnpèizhīděngjiàjiǎndìng |
_version_ |
1717750444504121344 |