Robustness of the two independent samples t-test when applied to ordinal scaled data.

Abstract:

:One may encounter the application of the two independent samples t-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 the t-test and one cannot appeal to large sample theory for validity. In this paper we report the results of an investigation of the t-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 the t-test in that the maximum actual level of significance is close to the declared level.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Heeren T,D'Agostino R

doi

10.1002/sim.4780060110

subject

Has Abstract

pub_date

1987-01-01 00:00:00

pages

79-90

issue

1

eissn

0277-6715

issn

1097-0258

journal_volume

6

pub_type

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