Statistics IV

These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis. All assignments MUST be typed, double-spaced, in APA style and must  be written at graduate level English, citing the text in APA format. 

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#1.  Define the following terms:Sum of squares between groupsSum of squares errorMean square between groupsMean square error  #2.  Define the following terms: Degrees of freedom between personsSum of squares between personsMean 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 provided data 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.Assignment Outcomes: Assess the concepts underlying appropriate use of various research methodologies  Analyze how to recognize the inappropriate or deceptive use of research methodology  Compare/contrast the basic assumptions underlying various statistical  operations Summarize the consequences of using various methodological  approaches Differentiate between the appropriate and inappropriate  application and interpretation of research methods and statistics