Robustness of the two independent samplest‐test when applied to ordinal scaled data
作者:
Timothy Heeren,
Ralph D'Agostino,
期刊:
Statistics in Medicine
(WILEY Available online 1987)
卷期:
Volume 6,
issue 1
页码: 79-90
ISSN:0277-6715
年代: 1987
DOI:10.1002/sim.4780060110
出版商: Wiley Subscription Services, Inc., A Wiley Company
关键词: Ordinal scaled data;Independent samplest‐test;Robustness
数据来源: WILEY
摘要:
AbstractOne may encounter the application of the two independent samplest‐test to ordinal scaled data (for example, data that assume only the values 0, 1, 2, 3) from small samples. This situation clearly violates the underlying normality assumption for thet‐test and one cannot appeal to large sample theory for validity. In this paper we report the results of an investigation of thet‐test's robustness when applied to data of this form for samples of sizes 5 to 20. Our approach consists of complete enumeration of the sampling distributions and comparison of actual levels of significance with the significance level expected if the data followed a normal distribution. We demonstrate under general conditions the robustness of thet‐test in that the maximum actual level of significance is close to the declare
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