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Activity Number:
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343
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Type:
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Contributed
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Date/Time:
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Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
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Sponsor:
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Social Statistics Section
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| Abstract - #310227 |
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Title:
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Generalization of the Paired T-Test for the Missing Values Case
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Author(s):
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Sophie Desjardins*+ and Alain Desgagne and Pierre Lafaye de Micheaux and Benoit Liquet
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Companies:
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University of Québec at Montréal and University of Québec at Montréal and Universite Pierre-Mendes France and Universite Pierre-Mendes France
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Address:
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7208 Duchesse de Bassano, Montreal, PQ, H1N 3X3, Canada
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Keywords:
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T-Test ; Missing Values ; Paired Data ; Comparison of Means ; Power
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Abstract:
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For the comparison of the means of two variables when the observations are paired, we usually use the paired t-test. However, sample data with missing values often occurs and the t-test is not designed to handle them. In this paper, we generalize the t-test to consider the case with missing values and paired observations. A statistic for the test is proposed and it is shown that its distribution is close to a Student-t distribution. The degrees of freedom are also given. Normality of variables is assumed. The power of our test is compared to the one of alternative methods. Applications to real examples are given to illustrate the simplicity of its use.
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