Essay about Analyzing with a Two-Way Anova

787 WordsFeb 25, 20134 Pages
| Analyzing with ANOVA | Two-Way | | | 1/23/2013 | | Submit your answers to the following questions using the ANOVA source table below. The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three groups (married, single never married, divorced), and the means refer to happiness scores (n = 100): a. What is/are the independent variable(s)? What is/are the dependent variable(s)? The independent variables are gender and marital status. The dependent variable is the happiness. b. What would be an appropriate null hypothesis? Alternate hypothesis? Alternate hypothesis about gender can be that females will have greater happiness mean score than males. There is also an…show more content…
Sum of squares due to interaction effect AB/ degrees of freedom of effect AB=_____. This would be 41.90/2= 20.95 8. Sum of squares due to errors/degrees of freedom of error=____. This would be 864.82/94=9.20. e. Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status. 9. Mean sum of squares for mean effect A/mean sum of squares due to errors=__. This would be 68.15/9.20= 7.41 for F ratio. 10. Mean sum of squares for mean effect B/ mean sum of squares due to errors=___. This would be 63.685/9.20= 6.92 for the F ratio. 11. Mean sum of squares for mean AB/ mean sum of squares due to error=___. This would be 20.95/9.20= 2.28 for the F ratio. f. Identify the criterion Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status. 12. In excel, I put in; =finv (.05, 1, 94) and hit enter. The Fcrit is 3.94. I got these numbers from the alpha (.05), the DF (1), and the error (94). 13. =finv (.05, 2, 94) = 3.09 Fcrit. 14. =finv (.05, 2, 94) = 3.09 Fcrit. g. If alpha is set at .05, what conclusions can you make? According to the table, with the alpha set at .05, there would be a significant effect for gender but would have to look at the means of the males and females to determine which group scored higher on happiness. It also shows that there is a significant effect for marital status, but would