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Statistical inference on binomial pr...

Zhao, Shuhong.

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Statistical inference on binomial proportions.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Statistical inference on binomial proportions./
作者:	Zhao, Shuhong.
面頁冊數:	234 p.
附註:	Source: Dissertation Abstracts International, Volume: 66-05, Section: B, page: 2666.
Contained By:	Dissertation Abstracts International66-05B.
標題:	Statistics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3176728
ISBN:	9780542159435

Statistical inference on binomial proportions.
Zhao, Shuhong.

Statistical inference on binomial proportions. - 234 p.

Source: Dissertation Abstracts International, Volume: 66-05, Section: B, page: 2666.

Thesis (Ph.D.)--University of Cincinnati, 2005.

Several statistical methods, used to construct confidence intervals (CIs) for a single Binomial proportion, are selected based on literature recommendations and are compared. A new criterion 'strict nesting condition' is defined when comparing different confidence interval methods. The focus is on Blaker's method and its potential shortness in practice is discussed. The continuity correction and smoothing technique are proposed to improve Blaker's method. The fundamental confidence interval obtained from a fundamentally defined p-value is also introduced and compared with the Blaker's and Clopper-Pearson's (C-P's) methods. The continuity correction (CC) and smoothing technique can also be used to improve the fundamental method. The modified fundamental method and Blaker's method have great similarities in term of coverage, length, confidence curve shape, etc. The power behaviors in modified CC Blaker's and fundamental methods are examined and compared with C-P's.

ISBN: 9780542159435Subjects--Topical Terms:

517247
Statistics.

Statistical inference on binomial proportions.
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245 1 0 $a Statistical inference on binomial proportions.
300 $a 234 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-05, Section: B, page: 2666.
500 $a Chair: James Deddens.
502 $a Thesis (Ph.D.)--University of Cincinnati, 2005.
520 $a Several statistical methods, used to construct confidence intervals (CIs) for a single Binomial proportion, are selected based on literature recommendations and are compared. A new criterion 'strict nesting condition' is defined when comparing different confidence interval methods. The focus is on Blaker's method and its potential shortness in practice is discussed. The continuity correction and smoothing technique are proposed to improve Blaker's method. The fundamental confidence interval obtained from a fundamentally defined p-value is also introduced and compared with the Blaker's and Clopper-Pearson's (C-P's) methods. The continuity correction (CC) and smoothing technique can also be used to improve the fundamental method. The modified fundamental method and Blaker's method have great similarities in term of coverage, length, confidence curve shape, etc. The power behaviors in modified CC Blaker's and fundamental methods are examined and compared with C-P's.
520 $a For two sample proportion inference, the three existing exact confidence interval methods that are available in StatXact are discussed and compared for the difference of 2 Binomial proportions. A simple approach based on the one sample exact methods is introduced to obtain the exact confidence interval of the difference when data are balanced. Its performance is comparable to these existing methods but the computation is much simpler.
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