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Calculate Spearman rank correlation coefficient and p-values
Spearman rank correlation calculated. 10 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
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History
Cameron Williams was given access to the Calculate Spearman rank correlation coefficient and p-values 4 years, 6 months ago
Newcastle University Mathematics and Statistics 9 years, 2 months ago
Created this.There is only one version of this question that you have access to.
| Name | Type | Generated Value |
|---|
| aspcoef | number |
0.479
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| spcoef | number |
0.479
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| vs | list |
[ 0, 0, 0, 0, 1 ]
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| sxy | number |
1481
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| spxy | number |
117
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| tol | number |
0.001
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| ssq | list |
[ 1846, 1414 ]
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| corrcoef | number |
0.466
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| ssd | number |
86
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| rr2 | list |
List of 10 items
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| rr1 | list |
List of 10 items
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| r1 | list |
List of 10 items
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| tsqovern | list |
[ 1537.6, 1210 ]
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| obj | list |
List of 10 items
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| d | list |
List of 10 items
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| r2 | list |
List of 10 items
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| ss | list |
[ 308.4, 204 ]
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| k | integer |
3
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| m | integer |
20
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||||
| n | integer |
10
|
||||
| t | list |
[ 124, 110 ]
|
||||
| v | list |
[ 0, 0, 0, 0, 1 ]
|
Generated value: number
- spcoef
- vs
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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 $10$. 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 | $\var{obj[0]}$ | $\var{obj[1]}$ | $\var{obj[2]}$ | $\var{obj[3]}$ | $\var{obj[4]}$ | $\var{obj[5]}$ | $\var{obj[6]}$ | $\var{obj[7]}$ | $\var{obj[8]}$ | $\var{obj[9]}$ |
|---|---|---|---|---|---|---|---|---|---|---|
| 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:
- Statistics for experimental psychology by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- 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.
- Jia's copy of Correlation Practice by Jia Shao in Jia's workspace.