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A Test of Independence in Two-Way Contingency Tables Based on Maximal Correlation

Yenigun, Deniz C
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1182286318

Abstract Details

2007, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics/Probability and Statistics.
Maximal correlation has several desirable properties as a measure of dependence, including the fact that it vanishes if and only if the variables are independent. Except for a few special cases, it is hard to evaluate maximal correlation explicitly. In this dissertation, we focus on two-dimensional contingency tables and discuss a procedure for estimating maximal correlation, which we use for constructing a test of independence. For large samples, we present the asymptotic null distribution of the test statistic. For small samples or tables with sparseness, we use exact inferential methods, where we employ maximal correlation as the ordering criterion. We compare the maximal correlation test with other tests of independence by Monte Carlo simulations. When the underlying continuous variables are dependent but uncorrelated, we point out some cases for which the new test is more powerful.
Gabor Szekely (Advisor)
91 p.
Statistics
Testing Independence; Maximal Correlation; Contingency Tables

Recommended Citations

Citations

  • Yenigun, D. C. (2007). A Test of Independence in Two-Way Contingency Tables Based on Maximal Correlation [Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1182286318

    APA Style (7th edition)

  • Yenigun, Deniz. A Test of Independence in Two-Way Contingency Tables Based on Maximal Correlation. 2007. Bowling Green State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1182286318.

    MLA Style (8th edition)

  • Yenigun, Deniz. "A Test of Independence in Two-Way Contingency Tables Based on Maximal Correlation." Doctoral dissertation, Bowling Green State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1182286318

    Chicago Manual of Style (17th edition)

bgsu1182286318
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© 2007, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.