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# Measuring Association for Full Time Employees

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7. For full time employees only (variable wrkstat equals 1), make a crosstabulation of satjob and respondent's income in quartiles (youmust calculate this variable yourself-call it income4). For each cell, obtain the appropriate percentagess, observed and expected cell counts, and residuals. Also obtain the chi-square statistic gamma, and lambda.

a. Can you conclude that income and job satisfaction are independent? Why or why not?

b. What percentage of people with earnings in the top quartile are very satisfied withtheir jobs? What percentage of people with earnigs in the bottom quartile are very satisfies with their jobs?

c. Look at the value for gamma. Explain the meaning of the sign.

d. Which variable in the table would you consider to be the dependent variable? What is the value of lambda when you try to predict the dependent variable from the independent variable?

e. Based on the gamma stastic, is it reasonable to conclude that the association between happy and hapmar is sronger than association between satjob and income4? What can you conclude based on lambda?

8. Now look at the relationship between job satisfaction and income separately for men and women.

a. Does it make sense to compare the two chi-square values? Why or why not?

b. Can you conclude that for men job satisfaction and income are independent?

c. Compare the strength of the association between the two variables for men and for women. What can you conclude?

SEE ATTACHED DATA FILE GSS.SAV

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#### Solution Preview

Measuring Association
For full time employees only (variable wrkstat equals 1), make a cross tabulation of satjob and respondent's income in quartiles (you must calculate this variable yourself-call it income4). For each cell, obtain the appropriate percentagess, observed and expected cell counts, and residuals. Also obtain the chi-square statistic gamma, and lambda.

a) Can you conclude that income and job satisfaction are independent? Why or why not?
Income and job satisfaction are independent are independent as the chi -square test is significant with p value > 0.05 .

Chi-Square Tests
Value df Asymp. Sig. (2-sided)
Pearson Chi-Square 4.511a 9 .875
Likelihood Ratio 4.507 9 .875
Linear-by-Linear Association .528 1 .467
N of Valid Cases 687
a. 2 cells (12.5%) have expected count less than 5. The minimum expected count is 3.78.
b) What percentages of people with earnings in the top quartile are very satisfied with their jobs? What percentage of people with earnings in the bottom quartile are very satisfies with their jobs?

Respondent's income in quartiles Total
<= 13750 13751 - 27500 27501 - 45000 45001+
VERY SATISFIED 47.8% 42.4% 45.7% 47.5% 45.4%
MOD. SATISFIED 38.9% 42.4% 44.3% 41.1% 42.2%
A LITTLE DISSAT 10.6% 10.8% 7.0% 8.5% 9.0%
VERY DISSATISFIED 2.7% 4.4% 3.0% 2.8% 3.3%
Total 100.0% 100.0% 100.0% 100.0% 100.0%

• Percentages of people with earnings in the top quartile are very satisfied with their jobs = 47.5%
• Percentage of people with earnings in the bottom quartile are very satisfies with their jobs = 47.8%
c) Look at the value ...

#### Solution Summary

The expert examines measuring associations for full time employees. Whether income and job satisfaction are independent are determined.

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