Question

Provide an example setting where a Two-Way Analysis of Variance (ANOVA) would be an appropriate statistical technique for analysis?

Include the following:

• Research Question or Claim to be Tested

• Description of variables i.e. Categorical (also indicating nominal, binary/dichotomous, or ordinal and providing levels) or Quantitative (also indicating discrete or continuous)

o Dependent Variable:

o Independent Variable(s):

• Null and Alternative Hypotheses (using proper notation) Note: Provide ALL sets of Hypotheses

Answer 1

A researcher was interested in whether an individual's interest in politics was influenced by their level of education and gender. They recruited a random sample of participants to their study and asked them about their interest in politics which they scored from 0 to 100, a higher score indicating a greater interest in politics. The researcher then divided the participants by gender(male/female) and by their level of education(School/College/University).

Here the primary purpose is to understand whether there is an interaction between gender and education level.

The dependent variable is 'Score in politics' and the two independent variables are 'gender' and 'education'.

Gender and education both are categorical variables. Gender is a dichotomous variable with the male being coded as 1 and female being coded as 2. Education is an ordinal variable where we coded school as 1, college as 2 and university as 3.

Null Hypothesis, H₀ : There is no interaction between gender and education level (or the mean difference between gender and education level is 0)

Alternative Hypothesis, H₁ : There is an interaction between gender and education level (or the mean difference between gender and education level is not 0)