A basic assumption of many statistical tests is that the samples are drawn from normal populations. However, in practice the data are often subject to rounding. Here we consider the effect of rounded normal data on the significance level of four test statistics. Guidance is given on what is an appropriate degree of precision when using these tests on normal rounded data. The results indicate that less precision is required of the recorded data than that which is usually given.
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Anthony R. Tricker (1990) studied this question.
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