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STATISTICAL INFERENCE ON BINOMIAL PROPORTIONS

ZHAO, SHUHONG
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1115834351

Abstract Details

2005, PhD, University of Cincinnati, Arts and Sciences : Mathematical Sciences.
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. 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.
Dr. James Deddens (Advisor)
234 p.
Mathematics; Statistics
confidence intervals; Binomial proportions; StatXact; Blaker; Clopper-Pearson; Exact CI; continuity correction; smoothing technique

Recommended Citations

Citations

  • ZHAO, S. (2005). STATISTICAL INFERENCE ON BINOMIAL PROPORTIONS [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1115834351

    APA Style (7th edition)

  • ZHAO, SHUHONG. STATISTICAL INFERENCE ON BINOMIAL PROPORTIONS. 2005. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1115834351.

    MLA Style (8th edition)

  • ZHAO, SHUHONG. "STATISTICAL INFERENCE ON BINOMIAL PROPORTIONS." Doctoral dissertation, University of Cincinnati, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1115834351

    Chicago Manual of Style (17th edition)

ucin1115834351
1,277
© 2005, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.