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Business statistics Study Set 3
Quiz 21: Nonparametric Techniques
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Question 41
True/False
The Friedman test statistic is approximately chi-squared distributed with (k - 1) degrees of freedom, provided that either the number of blocks b or the number of treatments k is greater than or equal to 5.
Question 42
True/False
The z-test approximation to the Wilcoxon rank sum test for two independent samples requires that at least one of the two sample sizes exceed 10.
Question 43
True/False
The Wilcoxon signed rank sum test is applied to compare two populations when the samples are matched pairs and the data are interval but not normally distributed.
Question 44
True/False
A Wilcoxon rank sum test for comparing two independent samples involves two samples of sizes 5 and 8. The alternative hypothesis is that the location of population 1 is different from the location of population 2. Using the 0.10 significance level, the appropriate critical values are 21 and 49.
Question 45
True/False
The Wilcoxon signed rank sum test is the nonparametric counterpart of the t-test of µ
D
.
Question 46
True/False
The Kruskal-Wallis test can be used to determine whether a difference exists between two populations. However, to determine whether one population location is larger than another, we must apply the Wilcoxon rank sum test.
Question 47
True/False
The sign test and the Wilcoxon signed rank sum test require matched pairs.
Question 48
True/False
A Wilcoxon rank sum test for comparing two independent samples involves two samples of sizes 6 and 9. The alternative hypothesis is that the location of population 1 is to the left of the location of population 2. Using the 0.05 significance level, the appropriate critical values are 31 and 65.
Question 49
True/False
The Kruskal-Wallis test requires independent sample.
Question 50
True/False
The Friedman test is the non-parametric counterpart of the randomised block experimental design of the analysis of variance.
Question 51
True/False
In a normal approximation to the sign test, the standardised test statistic is calculated as z = 2.07. If the alternative hypothesis states that the location of population 1 is to the right of the location of population 2, then the p-value of the test is 0.0192.
Question 52
True/False
The Kruskal-Wallis test uses the Chi-squared distribution.
Question 53
True/False
The critical value is taken from the t-distribution whenever the test is a Kruskal-Wallis test.
Question 54
True/False
A two-independent-sample t-test corresponds to a Wilcoxon signed rank sum test for paired samples.
Question 55
True/False
The Wilcoxon rank sum test for independent samples actually tests whether the population distributions are identical.
Question 56
True/False
A Wilcoxon rank sum test for comparing two populations involves two independent samples of sizes 15 and 20. The value of the unstandardised test statistic is T = 225. The value of the standardised test statistic is z = -1.50.