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Spearman Rank Correlation Presentation

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The document discusses Spearman's rank correlation coefficient, a nonparametric measure of statistical dependence between two variables. It assumes values between -1 and 1, with -1 indicating a perfect negative correlation and 1 a perfect positive correlation. The steps involve converting values to ranks, calculating the differences between ranks, and determining if there is a statistically significant correlation based on the test statistic and critical values. An example calculates Spearman's rho using rankings of cricket teams in test and one day international matches.

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Spearman Rank Correlation A measure of Rank Correlation Group 3
The Spearman Correlation ,[object Object],[object Object]
Assumptions ,[object Object],[object Object],[object Object]
Advantages ,[object Object],[object Object],[object Object],[object Object]
Disadvantages ,[object Object]
Steps in Calculating Spearman’s Rho ,[object Object],[object Object],[object Object]
Steps in Calculating Spearman’s Rho ,[object Object]
Hypothesis: I ,[object Object],[object Object],[object Object],[object Object],[object Object]
Hypothesis: II ,[object Object],[object Object],[object Object],[object Object]
Hypothesis: III ,[object Object],[object Object],[object Object],[object Object]
Test Statistic ,[object Object],[object Object],[object Object],[object Object]
Test Statistic ,[object Object]
Decision Rules ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],Spearman’s Rho
Spearman’s Rho ,[object Object]
Spearman’s Rho ,[object Object],[object Object],Perfectly Negative Correlation Perfectly Positive Correlation
Example 1 ,[object Object],[object Object],Team Test Rank ODI Rank Australia 1 1 India 2 3 South Africa 3 2 Sri Lanka 4 7 England 5 6 Pakistan 6 4 New Zealand 7 5 West Indies 8 8 Bangladesh 9 9
Example 1 Answer: Team Test Rank ODI Rank d d 2 Australia 1 1 0 0 India 2 3 1 1 South Africa 3 2 1 1 Sri Lanka 4 7 3 9 England 5 6 1 1 Pakistan 6 4 2 4 New Zealand 7 5 2 4 West Indies 8 8 0 0 Bangladesh 9 9 0 0 Total 20
Example 2 ,[object Object]
[object Object],[object Object],Graduate Executive rating (X) Training rating (Y) A 8 4 B 10 4 C 9 4 D 4 3 E 12 6 F 11 9 G 11 9 H 7 6 I 8 6 J 13 9 K 10 5 L 12 9
 

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Spearman Rank Correlation Presentation

  • 1. Spearman Rank Correlation A measure of Rank Correlation Group 3
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  • 18. Example 1 Answer: Team Test Rank ODI Rank d d 2 Australia 1 1 0 0 India 2 3 1 1 South Africa 3 2 1 1 Sri Lanka 4 7 3 9 England 5 6 1 1 Pakistan 6 4 2 4 New Zealand 7 5 2 4 West Indies 8 8 0 0 Bangladesh 9 9 0 0 Total 20
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