DC 欄位 | 值 | 語言 |
dc.contributor | 國立臺灣大學農藝學系暨研究所 | zh_TW |
dc.contributor.author | 廖振鐸 | zh_TW |
dc.creator | 廖振鐸 | - |
dc.date | 2005-07-31 | - |
dc.date.accessioned | 2006-07-26T01:57:26Z | - |
dc.date.accessioned | 2018-07-11T01:30:20Z | - |
dc.date.available | 2006-07-26T01:57:26Z | - |
dc.date.available | 2018-07-11T01:30:20Z | - |
dc.date.issued | 2005-07-31 | - |
dc.identifier | 932118M002009 | zh_TW |
dc.identifier.uri | http://ntur.lib.ntu.edu.tw//handle/246246/19847 | - |
dc.description.abstract | 容許區間(tolerance interval)被廣泛地運用於各個領域中,舉凡在工程方面、製
藥業方面等等的應用。Hahn and Meeker(1991)整理了許多容許區間的建構方法及其
應用的文獻回顧。然而,其中大部份僅針對單一變量的問題做討論,並未介紹較複雜
模型下的容許區間。其次,有別於單一變量的研究中,多數的文獻針對均衡單向隨機
效應模型(balanced one-way random effects model)來討論的有Lemon(1977),Mee and
Owen(1983),Mee(1984)以及Vangel(1992)等。最近,Liao and Iyer(2003)建
構了一套方法來解決所有均衡線性混合模型的容許區間問題。
本研究針對在實際應用上常遇到的-失衡性單向隨機效應模型(unbalanced
one-way random effects model)-容許區間建構問題來討論。其關鍵主要在於失衡性資
料在傳統的ANOVA 平方和分解會產生非相互獨立(mutually independent)的卡方隨機
變數(chi-squared random variables)。本研究藉由Weerahandi(1993)所提出的廣義樞
紐量(generalized pivotal quantities)、廣義信賴區間(generalized confidence intervals)
的觀念以及LaMotte and McWhorter(1978)的平方和分解(canonical decomposition)
方式,建立一個確切(exact)的單尾容許區間及良好近似的(approximate)雙尾容許區
間。並且利用統計模擬來驗証此方法之可行性。本研究主要成果已整理成英文論文,
已發表在國際期刊Technometrics, 2005, vol 47, pp 323-335. 。 | zh_TW |
dc.description.abstract | Statistical tolerance intervals are useful in practical applications in Engineering,
Pharmaceutical industries, and many other areas. Construction of tolerance intervals for
univariate distributions has been extensively studied, particularly for exponential family
distributions such as normal, lognormal, exponential etc. An excellent review of these
procedures and their applications are given in Hahn and Meeker (1991). However, tolerance
intervals have not been explored in detail for more complex situations. Most of the papers on
the tolerance interval problem have concentrated on the balanced one-way random effects
model. The reader may refer to Lemon (1977), Mee and Owen (1983), Mee (1984), and
Vangel (1992) among others. Recently, Liao and Iyer (2003) have developed a tolerance
interval procedure applicable to all balanced linear mixed models.
In this study, we develop procedures for constructing an exact one-sided tolerance interval
and an approximate two-sided tolerance interval for a general setting. The proposed methods
can be applicable to the general balanced mixed models and one-way unbalanced random
models. Our specific interest is given to the unbalanced one-way random model since it is a
very common model used in various practical experiments. The proposed methods are derived
from the concept of generalized pivotal quantities introduced by Weerahandi (1993). In
addition, statistical simulation studies are conducted to verify that the proposed methods can
be recommended for practical use. Partial results of this research have been published in
Technometics, vol 47, pp323-335, 2005. | en |
dc.format | application/pdf | zh_TW |
dc.format.extent | 105569 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language | zh-TW | zh_TW |
dc.language.iso | zh_TW | - |
dc.publisher | 臺北市:國立臺灣大學農藝學系暨研究所 | zh_TW |
dc.rights | 國立臺灣大學農藝學系暨研究所 | zh_TW |
dc.subject | 廣義檢定函數 | zh_TW |
dc.subject | 廣義信賴區間 | zh_TW |
dc.subject | 變異數成分 | zh_TW |
dc.subject | 線型模式 | zh_TW |
dc.subject | generalized p-values | en |
dc.subject | generalized test variables | en |
dc.subject | generalized confidence intervals | en |
dc.subject | variance components | en |
dc.title | 失衡性單向隨機線型模式的容許區間之研究 | zh_TW |
dc.title | A Tolerance Interval for Unbalanced One-Way
Random Effects Models | en |
dc.type | report | en |
dc.identifier.uri.fulltext | http://ntur.lib.ntu.edu.tw/bitstream/246246/19847/1/932118M002009.pdf | - |
dc.coverage | 計畫年度:93;起迄日期:2004-08-01/2005-07-31 | zh_TW |
item.languageiso639-1 | zh_TW | - |
item.fulltext | with fulltext | - |
item.grantfulltext | open | - |
item.openairetype | report | - |
item.openairecristype | http://purl.org/coar/resource_type/c_93fc | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Agronomy | - |
crisitem.author.dept | Institute of Statistics and Data Science | - |
crisitem.author.orcid | 0000-0001-9777-3701 | - |
crisitem.author.parentorg | College of Bioresources and Agriculture | - |
crisitem.author.parentorg | College of Science | - |
顯示於: | 農藝學系
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