Question: I need help with this question, how do you perform the signed rank test, I am struggling with understanding how that is being done Explanation:

I need help with this question, how do you perform the signed rank test, I am struggling with understanding how that is being done

Explanation:

We need to perform Wilcoxon Signed-Rank-test.

Q10

We need to find the sum of positive signed ranks (T⁺).

First find the difference (After - Before) and absolute difference between the two samples:

Individual	Score After	Score Before	Difference	Absolute Difference
1	57	59	-2	2
2	62	57	5	5
3	60	60	0	0
4	63	66	-3	3
5	69	68	1	1
6	63	59	4	4
7	74	72	2	2
8	56	52	4	4
9	64	58	6	6
10	64	63	1	1

Now order the pairs by the absolute differences and assign a rank from the smallest to largest absolute differences. Ignore pairs that have an absolute difference of "0" and assign mean ranks when there are ties.

Also make a column of signed rank (whose formula is rank * sign of difference). We get:

Individual	Score After	Score Before	Difference	Absolute Difference	Rank	Signed Rank
1	57	59	-2	2	3.5	-3.5
2	62	57	5	5	8	8
3	60	60	0	0	n/a	n/a
4	63	66	-3	3	5	-5
5	69	68	1	1	1.5	1.5
6	63	59	4	4	6.5	6.5
7	74	72	2	2	3.5	3.5
8	56	52	4	4	6.5	6.5
9	64	58	6	6	9	9
10	64	63	1	1	1.5	1.5

Finally, sum the positive signed ranks to get T⁺:

T⁺ = 8 + 1.5 + 6.5 + 3.5 + 6.5 + 9 + 1.5

T⁺ = 36.5

choice E

Q11

Non-zero difference pairs (n) = 9

Hence, the mean: _T = n(n + 1)/4

_T = 9(9 + 1)/4

_T = 22.5

choice A

Q12 ² = n(n + 1)(2n + 1)/24

² = 9(9 + 1)(2*9 + 1)/24

² = 71.25

= 8.44

choice D

Q13

Question: I need help with this question, how do you perform the signed rank test, I am struggling with understanding how that is being done Explanation:

Step by Step Solution

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