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Abstract

This paper develops a new test, the trinomial test, for pairwise ordinal data samples to improve the power of the sign test by modifying its treatment of zero differences between observations, thereby increasing the use of sample information. Simulations demonstrate the power superiority of the proposed trinomial test statis- tic over the sign test in small samples in the presence of tie observations. We also show that the proposed trinomial test has substantially higher power than the sign test in large samples and also in the presence of tie observations, as the sign test ignores information from observations resulting in ties.

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File URL: http://www.kier.kyoto-u.ac.jp/DP/DP736.pdf
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Bibliographic Info

Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 736.

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Length: 18pages
Date of creation: Oct 2010
Date of revision:
Handle: RePEc:kyo:wpaper:736

Contact details of provider:
Postal: Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501
Phone: +81-75-753-7102
Fax: +81-75-753-7193
Email:
Web page: http://www.kier.kyoto-u.ac.jp/eng/index.html
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Related research

Keywords: Sign test; trinomial test; non-parametric test; ties; test statistics; hypothesis testing.;

Other versions of this item:

Find related papers by JEL classification:

• C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
• C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
• C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

This paper has been announced in the following NEP Reports:

• NEP-ALL-2010-11-06 (All new papers)

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