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On the Robustness of Combined Tests for Trends in Proportions

On the Robustness of Combined Tests for Trends in Proportions Abstract Several models with monotone trend in proportions are considered for 2 × I × J contingency tables. For one stratum (I = 1) and broad regularity conditions, the C(α) test statistic for testing for trend is shown to be fully efficient for all choices of the model with monotone trend. For several strata, the efficiency of each C(α) test is compared with the efficiency of the C(α) test appropriate when each of the other models holds. These relative efficiencies are used for choosing the most robust tests in a variety of sampling situations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the American Statistical Association Taylor & Francis

On the Robustness of Combined Tests for Trends in Proportions

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On the Robustness of Combined Tests for Trends in Proportions

Tarone, Robert E.; Gart, John J.
Journal of the American Statistical Association , Volume 75 (369): 7 – Mar 1, 1980

Abstract

Abstract Several models with monotone trend in proportions are considered for 2 × I × J contingency tables. For one stratum (I = 1) and broad regularity conditions, the C(α) test statistic for testing for trend is shown to be fully efficient for all choices of the model with monotone trend. For several strata, the efficiency of each C(α) test is compared with the efficiency of the C(α) test appropriate when each of the other models holds. These relative efficiencies are used for choosing the most robust tests in a variety of sampling situations.

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References (15)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1537-274X
eISSN
0162-1459
DOI
10.1080/01621459.1980.10477439
Publisher site
See Article on Publisher Site

Abstract

Abstract Several models with monotone trend in proportions are considered for 2 × I × J contingency tables. For one stratum (I = 1) and broad regularity conditions, the C(α) test statistic for testing for trend is shown to be fully efficient for all choices of the model with monotone trend. For several strata, the efficiency of each C(α) test is compared with the efficiency of the C(α) test appropriate when each of the other models holds. These relative efficiencies are used for choosing the most robust tests in a variety of sampling situations.

Journal

Journal of the American Statistical Association – Taylor & Francis

Published: Mar 1, 1980

Keywords: Pitman asymptotic relative efficiencies; C(α) test statistics; 2 × J contingency tables

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