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).
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!
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?
(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
Part 2: Wilcoxon Rank-Sum Test
Let us consider another hypothetical situation. The WHO wants to
compare the mortality rates of children under the age of five years
of underdeveloped and developed regions of the world. There were
two independent samples of ten countries from each of the groups
drawn at the same time, and the yearly mortality rates of children
under the age of five years (per 100,000) inhabitants were reported
(MRate1 and MRate2).
Table 2: Mortality Rates of Children...