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Question
In: Statistics and Probability
The nonparametric counterpart of ANOVA is the ________. a. Wilcoxon signed-rank test b. Sign test c. Runs test d. None of the above
The nonparametric counterpart of ANOVA is the ________.
a. Wilcoxon signed-rank test
b. Sign test
c. Runs test
d. None of the above
Solutions
Expert Solution
(d) None of the above
Explanation:
The nonparametric counterpart of ANOVA is Kruska-Wallis test. The analysis of variance (ANOVA) uses the F test to compare the means of three or more populations. The assumptions for the ANOVA test are that the populations are normally distributed and that the population variances are equal. When these assumptions cannot be met, the nonparametric Kruskal-Wallis test, sometimes called the H test, can be used to compare three or more means.
The right option is (d).
Junaid answered 1 year agoRelated Solutions
Nonparametric Methods In this assignment, we will use the following nonparametric methods: The Wilcoxon signed-rank test:...
Nonparametric Methods
In this assignment, we will use the following nonparametric
methods:
The Wilcoxon signed-rank test: The Wilcoxon signed-rank test is
the nonparametric test analog of the paired t-test.
The Wilcoxon rank-sum test or the Mann-Whitney U test: The
Wilcoxon rank-sum test is an analog to the two-sample t-test for
independent samples.
Part 1: Wilcoxon Signed-Rank Test
Let's take a hypothetical situation. The World Health
Organization (WHO) wants to investigate whether building irrigation
systems in an African region helped reduce...
Given the non-parametric test, match the non-parametric test with its parametric counterpart. Sign test Wilcoxon rank...
Given the non-parametric test, match the non-parametric test
with its parametric counterpart.
Sign test
Wilcoxon rank sum test
Wilcoxon signed-rank test
WILCOXON SIGNED RANK TEST (a)2 Describe the Wilcoxon signed rank test briefly. How does it do...
WILCOXON SIGNED RANK TEST
(a)2 Describe the Wilcoxon signed rank test briefly. How does it do
it?
(b)2 State the null and the alternative hypothesis.
(c)2 State the assumptions.
(d)2 State the formula for the test statistic.
(e)2 State the rejection rule with (How to reject the null
hypothesis)
(f)5 Give an real life example of how we can use the Wilcoxon
signed rank test (with calculations).
For each of the following nonparametric tests––Wilcoxon signed-rank test, Mann–Whitney U test, and Spearman’s rho––discuss the...
For each of the following nonparametric tests––Wilcoxon
signed-rank test, Mann–Whitney U test, and Spearman’s rho––discuss
the following points:
Give an overview of the test.
State what parametric test it replaces.
Provide an example of when you would choose to use that
test.
What is the difference between the wilcoxon signed test and the normal sign test?
What is the difference between the wilcoxon signed test and the
normal sign test?
The mean and the standard deviation of W for the nonparametric Wilcoxon rank sum test depend:...
The mean and the standard deviation of W for the nonparametric
Wilcoxon rank sum test depend:
on the number of items that are being ranked but not on the
values themselves.
entirely upon the characteristics of the two samples.
entirely upon the characteristics of the two populations.
on the number of items that are being ranked as well as the
values themselves.
13.
The Wilcoxon signed rank test is used for small samples when
Normality cannot be established or is...
Preliminary data analyses indicates that use of a paired Wilcoxon signed-rank test is reasonable. Perform the...
Preliminary data analyses indicates that use of a paired
Wilcoxon signed-rank test is reasonable. Perform the hypothesis
test by using a paired Wilcoxon signed-rank test. Assume that the
null hypothesis is Ho:u1=u2
In a study of the effectiveness of physical exercise in weight
reduction, 12 subjects followed a program of physical exercise for
two months. Their weights (in pounds) before and after this program
are shown in the following table.
before
162
190
188
152
148
127
195
164...
Detail the steps in computing the Wilcoxon matched-pairs signed-rank test with a brief discussion specific to...
Detail the steps in computing the Wilcoxon matched-pairs
signed-rank test with a brief discussion specific to the important
aspects of each step.
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between...
Use the Wilcoxon matched-pairs signed rank test to determine
whether there is a significant difference between the related
populations represented by the data below. Assume a 5% level of
significance and (differences = before - after).
Before After
5.6 6.4
1.3 1.5
4.7 4.6
3.8 4.3
2.4 2.1
5.5 6.0
5.1 5.2
4.6 4.5
3.7 4.5
What is the value of T-?
What is the value of T+?
What is the test statistic, T?
Using the table of Critical Values, what is the critical value for
this study?
Detail the steps in computing the Wilcoxon matched-pairs signed-rank test with a brief discussion specific to...
Detail the steps in computing the Wilcoxon matched-pairs
signed-rank test with a brief discussion specific to the important
aspects of each step.
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