Sense of Isolation  Living Arrangement  
Housing Development  Integrated Neighborhood  Totals  
Low  80  30  110 
High Totals 



To find:
The column percentages, strength and pattern of relationship.
Given:
The given statement is,
A survey of senior citizens who live in either a housing development specifically designed for retirees or an ageintegrated neighborhood has been conducted.
The given table of information is,
Sense of isolation  Living arrangement  
Housing Development  Integrated Neighborhood  Totals  
Low  80  30  110 
High  20  120  140 
Totals  100  150  250 
Approach:
If the maximum difference of the smallest and the largest column percentage in a row is less than 10%, it is said that there is a weak association between the categories.
If the maximum difference is between 10% and 30%, it is said that there is a moderate association between the categories and if the maximum difference is above 30%, then there is a high association between the categories.
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
The gamma value is given by,
Substitute 9600 for
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