## Degrees of freedom between persons

Statistics Exercise IV

These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis.

#1.  Define the following terms:

#2.  Define the following terms:

1. Degrees of freedom between persons
2. Sum of squares between persons
3. Mean square between persons

#3.  Explain why the critical value can be different for each hypothesis test computed using the two-way between-subjects ANOVA.

Use SPSS and the data file found in syllabus resources (DATA540.SAV) to answer the following questions.  Round your answers to the nearest dollar, percentage point, or whole number.

#4.  Perform a chi-square test to look at the relationship between region of the country (REGION) and financial comfort (FCOMFORT).  Using alpha = .05, what would you conclude from your test:A.Financial comfort differs depending on the area one lives in. B.People living in less expensive areas are more likely to report that they are financially comfortable. C.There is not a significant relationship between region and financial comfort. D.People living in the northeast region are most likely to report that they are financially struggling.

#5.  Perform a one-way ANOVA to look at whether income (INC1) differs by type of relationship (RELAT).  Which of the following describes your result:A.F(3,396) = 4.91, p > .05 B.F(3,396) = 4.91, p < .001. C.F(3,396) = 6.85, p > .05 D.F(3,396) = 6.85, p < .001 Perform a 2-way ANOVA with participant’s income (INC1) as the dependent variable and with gender (GENDER1) and          marital status (MSTAT) as independent variables. Interpret your results in questions 6, 7 and 8. (Hint: click the “Plots” button in the Univariate routine to create a graph).
#6.  The main effect due to gender indicates that:A.Women earn more than men. B.Men earn more than women. C.Men and women have incomes that are not significantly different. D.Participants earn more than their partners.

#7.  The main effect due to marital status indicates:A.Your income tends to decrease after a divorce. B.Getting married tends to increase your income. C.Marital status is unrelated to income. D.Married people tend to earn more than single people.
#8.  The interaction effect indicates:A.Men earn more than women and married people earn more than singles. B.The male/female income difference is greater when comparing married people than when comparing singles. C.The interaction effect is non-significant. D.Marriage helps men’s careers more than it helps women’s careers.