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Robustness and power of the Student ...

Li, Dong.

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Robustness and power of the Student t, Welch-Aspin, Yuen, Tukey Quick, and Haga tests.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Robustness and power of the Student t, Welch-Aspin, Yuen, Tukey Quick, and Haga tests./
作者:	Li, Dong.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:	1752 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:	Dissertation Abstracts International78-08B(E).
標題:	Statistics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10242674
ISBN:	9781369686999

Robustness and power of the Student t, Welch-Aspin, Yuen, Tukey Quick, and Haga tests.
Li, Dong.

Robustness and power of the Student t, Welch-Aspin, Yuen, Tukey Quick, and Haga tests. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 1752 p.

Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.

Thesis (Ph.D.)--Wayne State University, 2017.

This item is not available from ProQuest Dissertations & Theses.

Classical parametric statistic procedures are widely used in the research community. However, for classical tests to produce accurate results, the assumptions underlying them must be sufficiently satisfied. When the assumptions are not met, the results of the analysis may be due to the violation of the assumptions, instead of the true pattern of the data. The assumptions are rarely met when analyzing real data. The use of classic parametric methods with violated assumptions may lead to substantive errors in the interpretation of data. As an alternative to normal theory statistics, nonparametric statistical procedures do not make assumptions about the underlying distribution of the data, nor do they require large sample sizes to produce a normal distribution of errors. Nonparametric statistics also have an advantage of preserving Type I error rates to nominal alpha and having more power under the conditions of concomitant heteroscedasticity and treatment effects under nonnormal distributions.

ISBN: 9781369686999Subjects--Topical Terms:

517247
Statistics.

Robustness and power of the Student t, Welch-Aspin, Yuen, Tukey Quick, and Haga tests.
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500 $a Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
500 $a Includes supplementary digital materials.
500 $a Adviser: Shlomo Sawilowsky.
502 $a Thesis (Ph.D.)--Wayne State University, 2017.
506 $a This item is not available from ProQuest Dissertations & Theses.
520 $a Classical parametric statistic procedures are widely used in the research community. However, for classical tests to produce accurate results, the assumptions underlying them must be sufficiently satisfied. When the assumptions are not met, the results of the analysis may be due to the violation of the assumptions, instead of the true pattern of the data. The assumptions are rarely met when analyzing real data. The use of classic parametric methods with violated assumptions may lead to substantive errors in the interpretation of data. As an alternative to normal theory statistics, nonparametric statistical procedures do not make assumptions about the underlying distribution of the data, nor do they require large sample sizes to produce a normal distribution of errors. Nonparametric statistics also have an advantage of preserving Type I error rates to nominal alpha and having more power under the conditions of concomitant heteroscedasticity and treatment effects under nonnormal distributions.
520 $a Haga's test is a nonparametric method to exam locations of ranks of two independent samples. It is an improved version of Rosenbaum test. This study examines and compares the robustness and power of the nonparametric Haga test with that of the Tukey's Quick test, Welch-Aspin t test, Yuen's test and Student's t test under the condition of concomitant heteroscedasticity and treatment effect via the method of Monte Carlo simulations.
520 $a The result of the simulations indicated that under the theoretical nonnormal distributions, Haga's test and Tukey's Quick test were more robust than Student's t test, Welch-Aspin's t test and Yuen's test at all alpha levels. When there was no variance effects (scale1:1) or a slight variance increment (scale1:1.1), Haga's test was the most powerful test for nonnormal theoretical distributions. When there was medium (scale1:4) or large (scale1:16) variance effects, Haga's test was the most powerful test for equal sample sizes, and Student's t test was the most powerful test for unequal sample sizes.
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