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).
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...
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...
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?
What level of measurement do Wilcoxon and KW require?
When is a parametric test used?
What is the Kruskal-Wallace (KW) test?
What is the Wilcoxon test?
What is the sign test? Level of measurement?
Be able to identify the null hypothesis.
Nonparametric tests require / do not require?
When is the Spearman's correlation used?
Know how to reject the null or fail to reject the null at the
.05 level.
What is the KW test used for?
Requirements of the...
What are the differences between inpedenpedent samples t-test,
paired sample t-test, Wilcoxon rank-sum test, and the Wilcoxon
signed ranks test? Thank you!
(1). Use the Wilcoxon matched-pairs signed rank test (small
sample size) to determine whether there is a significant difference
between the related populations represented by the matched pairs
given here. Assume a = .05 (Written).
Group1
Group2
d
5.6
6.4
-0.8
1.3
1.5
-0.2
4.7
4.6
0.1
3.8
4.3
-0.5
2.4
2.1
0.3
5.5
6
-0.5
5.1
5.2
-0.1
4.6
4.5
0.1
3.7
4.5
-0.8
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...