Submit your answers to the following questions using the ANOVA source table belo
ID: 3178681 • Letter: S
Question
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): What are the independent variables and their levels? What is the dependent variable? State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses? Source Sum of Squares (degrees of freedom [df]) Mean Square Fobt. Fcrit. Gender 68.15 ? ? ? ? Marital Status 127.37 ? ? ? ? Gender * Marital Status (A x B) 41.90 ? ? ? ? Error (Within) 864.82 ? ? NA NA Total 1102.24 99 NA NA NA
Explanation / Answer
What are the independent variables and their levels?
Independent variables are the 2 groups , Gender and the marital status
What is the dependent variable?
The dependent variable is the hapiness score , which is dependent on the 2 groups - gender and the marital status
State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses?
H0 : The mean values of the happiness scores is not different across the 2 groups , Gender and Marital status
H1 : The mean values of the happiness scores is different across the groups , Gender and Marital status - atleast for 2 pairs of the groups combinations.
If the p value of the anova result is signficant , then we shall carry out a post hoc analysis such as TukeyHSD test