Accurate Tolerance Limits for a Two-Way Nested Random Effects Model

博士 === 淡江大學 === 數學學系博士班 === 99 === We consider in this article a method of constructing accurate $beta$-content tolerance limits for a two-way nested model with normal random effects. The procedure is derived by conditioning on an estimator of the unknown expected mean square ratio as proposed in C...

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Main Authors: Su-Hao Lee, 李書豪
Other Authors: Shun-Yi Chen
Format: Others
Language:zh-TW
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/81757332553656555264
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spelling ndltd-TW-099TKU054790012016-04-13T04:17:35Z http://ndltd.ncl.edu.tw/handle/81757332553656555264 Accurate Tolerance Limits for a Two-Way Nested Random Effects Model 雙因子套層隨機效應模型的準確容許界限 Su-Hao Lee 李書豪 博士 淡江大學 數學學系博士班 99 We consider in this article a method of constructing accurate $beta$-content tolerance limits for a two-way nested model with normal random effects. The procedure is derived by conditioning on an estimator of the unknown expected mean square ratio as proposed in Chen and Harris (2006). Simulation studies indicate that the present procedure is less conservative than current existing methods and gives more accurate coverage rates. Statistical tables needed to implement the procedure are included. Shun-Yi Chen 陳順益 2011 學位論文 ; thesis 75 zh-TW
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description 博士 === 淡江大學 === 數學學系博士班 === 99 === We consider in this article a method of constructing accurate $beta$-content tolerance limits for a two-way nested model with normal random effects. The procedure is derived by conditioning on an estimator of the unknown expected mean square ratio as proposed in Chen and Harris (2006). Simulation studies indicate that the present procedure is less conservative than current existing methods and gives more accurate coverage rates. Statistical tables needed to implement the procedure are included.
author2 Shun-Yi Chen
author_facet Shun-Yi Chen
Su-Hao Lee
李書豪
author Su-Hao Lee
李書豪
spellingShingle Su-Hao Lee
李書豪
Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
author_sort Su-Hao Lee
title Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
title_short Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
title_full Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
title_fullStr Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
title_full_unstemmed Accurate Tolerance Limits for a Two-Way Nested Random Effects Model
title_sort accurate tolerance limits for a two-way nested random effects model
publishDate 2011
url http://ndltd.ncl.edu.tw/handle/81757332553656555264
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