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Saba Parvin Haque
MSc in Neuroscience
from “Sophia College For
Women”, Mumbai. https://www.youtube.com/chann
el/UCAiarMZDNhe1A3Rnpr_WkzA
Wilcoxon Signed
Rank Test
Pair Alcoholic Control
1 40.1 41.3
2 38.5 40.2
3 36.9 37.4
4 41.4 46.1
5 40.6 43.9
6 42.3 41.9
7 37.2 39.9
8 38.6 40.4
9 38.5 38.6
1o 38.4 38.1
11 38.1 39.5
Pair Alcoholic Control
1 40.1 41.3
2 38.5 40.2
3 36.9 37.4
4 41.4 46.1
5 40.6 43.9
6 42.3 41.9
7 37.2 39.9
8 38.6 40.4
9 38.5 38.6
1o 38.4 38.1
11 38.1 39.5
Difference
-1.2
-1.7
-0.5
-4.7
-3.3
0.4
-2.7
-1.8
-0.1
0.3
-1.4
Diff in order Sign
0.1 -
0.3 +
0.4 +
0.5 -
1.2 -
1.4 -
1.7 -
1.8 -
2.7 -
3.3 -
4.7 -
Rank
1
2
3
4
5
6
7
8
9
10
11
Hypothesis:
❑ Null Hypothesis (H0):
❑ Alternative Hypothesis (H1):
w+ = Sum of ranks + sign number
= 2+3 = 5
α= 0.02, n=11 WtableValue = 8
Wcal < Wtab
5 < 8
We take the smaller number as
Wcalculated and compare it with the
table value
W- = Sum of ranks - sign number
= 1+4+5+6+7+8+9+10+11 = 61
Wcal < Wtab, then we reject Null hypothesis
i.e.There is a significant difference in the
median brain densities of alcoholics and
non-alcoholics.
Thank You

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Wilcoxon.pdf

  • 1. Saba Parvin Haque MSc in Neuroscience from “Sophia College For Women”, Mumbai. https://www.youtube.com/chann el/UCAiarMZDNhe1A3Rnpr_WkzA
  • 3. Pair Alcoholic Control 1 40.1 41.3 2 38.5 40.2 3 36.9 37.4 4 41.4 46.1 5 40.6 43.9 6 42.3 41.9 7 37.2 39.9 8 38.6 40.4 9 38.5 38.6 1o 38.4 38.1 11 38.1 39.5
  • 4. Pair Alcoholic Control 1 40.1 41.3 2 38.5 40.2 3 36.9 37.4 4 41.4 46.1 5 40.6 43.9 6 42.3 41.9 7 37.2 39.9 8 38.6 40.4 9 38.5 38.6 1o 38.4 38.1 11 38.1 39.5 Difference -1.2 -1.7 -0.5 -4.7 -3.3 0.4 -2.7 -1.8 -0.1 0.3 -1.4 Diff in order Sign 0.1 - 0.3 + 0.4 + 0.5 - 1.2 - 1.4 - 1.7 - 1.8 - 2.7 - 3.3 - 4.7 - Rank 1 2 3 4 5 6 7 8 9 10 11 Hypothesis: ❑ Null Hypothesis (H0): ❑ Alternative Hypothesis (H1):
  • 5. w+ = Sum of ranks + sign number = 2+3 = 5 α= 0.02, n=11 WtableValue = 8 Wcal < Wtab 5 < 8 We take the smaller number as Wcalculated and compare it with the table value W- = Sum of ranks - sign number = 1+4+5+6+7+8+9+10+11 = 61 Wcal < Wtab, then we reject Null hypothesis i.e.There is a significant difference in the median brain densities of alcoholics and non-alcoholics.