A sign test is a ________.
A)parametric method used to determine the differences between two related observations
B)nonparametric method based on the sign of a difference between two related observations
C)nonparametric method that uses the chi-square distributions as the test statistic
D)parametric method for determining the differences between related observations where distribution dependent tests are used

Question

Quizplus · Accepted Answer

A sign test is a nonparametric method that compares the medians of two related samples. It is based on the sign of the difference between paired observations rather than the magnitude of the difference. It is a useful alternative when sample sizes are small or the distribution of the data is unknown. Option A is incorrect because sign test is a nonparametric method and therefore not based on any assumptions about the distribution of the data. Option C is incorrect because the sign test does not use the chi-square distribution as the test statistic. Option D is incorrect because the sign test is used for non-normal data, and thus, the assumption of normal distribution is not met.

A Sign Test Is a ________