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Calculate the Spearman rank correlation coefficient and p-value
Spearman rank correlation calculated. 8 paired observations.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Newcastle University Mathematics and Statistics 9 years, 2 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Calculate the Spearman rank correlation coefficient and p-value | draft | Newcastle University Mathematics and Statistics | 20/11/2019 14:50 | |
| Calculating the Spearman rank correlation coefficient and p-value | Needs to be tested | Lauren Frances Desoysa | 26/11/2018 11:50 |
| Name | Type | Generated Value |
|---|
| aspcoef | number |
0.071
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| spcoef | number |
0.071
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| vs | list |
[ 0, 0, 0, 0, 1 ]
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| sxy | number |
1009
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| spxy | number |
-3.375
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| tol | number |
0.001
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| ssq | list |
[ 1169, 1163 ]
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| corrcoef | number |
-0.022
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| ssd | number |
78
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| rr2 | list |
[ 7, 4, 5, 8, 6, 2, 1, 3 ]
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| rr1 | list |
[ 3, 1, 6, 4, 8, 2, 5, 7 ]
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| r1 | list |
List of 8 items
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| tsqovern | list |
[ 1035.125, 990.125 ]
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| obj | list |
List of 8 items
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| d | list |
[ -4, -3, 1, -4, 2, 0, 4, 4 ]
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| r2 | list |
List of 8 items
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| ss | list |
[ 133.875, 172.875 ]
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| k | integer |
3
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| m | integer |
20
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| n | integer |
8
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| t | list |
[ 91, 89 ]
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| v | list |
[ 0, 0, 0, 0, 1 ]
|
Generated value: number
- spcoef
- vs
This variable doesn't seem to be used anywhere.
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Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Spearman Correlation Coefficient
In order to find the Spearman correlation coefficient for the original score data you need to supply the ranked data for the wives and the husbands in the table below. Lowest rank has rank $1$, highest score has rank $8$. Also supply the differences in the ranks, i.e. for each couple find wife's score - husband's score.
Now fill in the ranks given by
| Couple | $\var{obj[0]}$ | $\var{obj[1]}$ | $\var{obj[2]}$ | $\var{obj[3]}$ | $\var{obj[4]}$ | $\var{obj[5]}$ | $\var{obj[6]}$ | $\var{obj[7]}$ |
|---|---|---|---|---|---|---|---|---|
| Wife $(X)$ | ||||||||
| Husband $(Y)$ | ||||||||
| Differences |
Hence calculate the Spearman correlation coefficient to 3 decimal places:
$r_s=\;$
Click on Show steps for the Spearman correlation coefficient formula. You will not lose any marks by doing so.
Use this tab to check that this question works as expected.
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This question is used in the following exams:
- Correlation Practice by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- David's copy of Statistics for experimental psychology by David Rickard in David's workspace.
- Statistics for experimental psychology by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- Jia's copy of Correlation Practice by Jia Shao in Jia's workspace.