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On a class of two-sample partially sequential nonparametric tests for bivariate ordinal data under restricted alternatives

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  • Gopaldeb Chattopadhyay

Abstract

In 1977, Wolfe introduced a partially sequential scheme to capitalise the best aspects of both fixed and sequential design. This scheme is instrumental in reducing time and/or cost of the experiment when one sample is very difficult to obtain and/or costly compared with the other one. However, Wolfe's scheme is for continuous data. Chattopadhyay extended this idea of partially sequential technique for univariate ordinal data in 2002. However, in real life, bivariate ordinal data are quite common. The present article is an extension of Chattopadhyay's work for bivariate ordinal data. Like previously, in this article we also build a suitable stopping rule based on a fixed number of observations drawn from the first population and draw sequentially a random number of observations from the second population, using that stopping rule. We now suggest two types of test statistics, and their various asymptotic properties are explored. An extensive simulation study is also given that compares the performance of the two types of proposed test statistics.

Suggested Citation

  • Gopaldeb Chattopadhyay, 2009. "On a class of two-sample partially sequential nonparametric tests for bivariate ordinal data under restricted alternatives," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(1), pages 99-111.
    • Handle: RePEc:taf:gnstxx:v:21:y:2009:i:1:p:99-111
    DOI: 10.1080/10485250802496731
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    1. Johnson, Richard A. & Mehrotra, Kishan G., 1972. "Nonparametric tests for ordered alternatives in the bivariate case," Journal of Multivariate Analysis, Elsevier, vol. 2(2), pages 219-229, June.
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