Efficiency  Test Scores  
Low  Moderate  High  Totals  
Low  12  6  7  25 
Moderate  9  11  9  29 
High Totals 




To find:
The strength and pattern of relationship.
Given:
The given statement is,
All applicants to the Police Academy are given an aptitude test, but the test has never been evaluated to see if test scores are in any way related to job performance.
The given table of information is,
Efficiency  Test Scores  
Low  Moderate  High  Totals  
Low  12  6  7  25 
Moderate  9  11  9  29 
High  5  9  10  24 
Totals  26  26  26  78 
Approach:
If the gamma value is less than 0.30, it is said that there is a weak association between the categories.
If the gamma value is greater than 0.60, it is said that there is a strong association between the categories.
The gamma compares the number of pairs of cases ranked in the same order on both variables (
Formula used:
For compares the number of pairs of cases ranked in the same order on both variables (
Calculation:
From the given table of information,
The value of
And the value of
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