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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
Bill Foster 12 years, 2 months ago
Created this.There is only one version of this question that you have access to.
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| Name | Type | Generated Value |
|---|
| aspcoef | number |
0.833
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| spcoef | number |
0.833
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| vs | list |
[ 0, 0, 1, 0, 0 ]
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| sxy | number |
1008
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| spxy | number |
194.25
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| tol | number |
0.001
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| ssq | list |
[ 1357, 816 ]
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| corrcoef | number |
0.820
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| ssd | number |
14
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| rr2 | list |
[ 6, 8, 7, 1, 3, 2, 5, 4 ]
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| rr1 | list |
[ 4, 8, 7, 3, 2, 1, 5, 6 ]
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| d | list |
[ -2, 0, 0, 2, -1, -1, 0, 2 ]
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| tsqovern | list |
[ 1081.125, 612.5 ]
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| obj | list |
List of 8 items
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| r1 | list |
List of 8 items
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| r2 | list |
[ 13, 15, 14, 1, 6, 2, 11, 8 ]
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| ss | list |
[ 275.875, 203.5 ]
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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 |
[ 93, 70 ]
|
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| v | list |
[ 0, 0, 1, 0, 0 ]
|
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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 Bill Foster in Bill's workspace.
- Maths Support: Correlation by Christian Lawson-Perfect in Maths Support Wiki.
- mathcentre: Correlation by Newcastle University Mathematics and Statistics in mathcentre.
- Morgiane's copy of mathcentre: Correlation by Morgiane Richard in Morgiane's workspace.
- mathcentre: Correlation by Michael Proudman in Mathcentre based Materials.
- Jia's copy of mathcentre: Correlation by Jia Shao in Jia's workspace.