Understanding Two-Way ANOVA

What is the primary purpose of a two-way ANOVA?

• To test the effect of one categorical variable on a continuous variable

• To test the effect of two categorical variables on a continuous variable

• To test the effect of a continuous variable on two categorical variables

• To test the effect of two continuous variables on a categorical variable

Which of the following is a factor in a two-way ANOVA?

• A metric variable

• A dependent variable

• A nominal variable

• A continuous variable

In which scenario would you use a two-way ANOVA?

• When testing the effect of a factor with only two levels

• When testing the effect of two factors on a dependent variable

• When testing the effect of a single factor on a dependent variable

• When testing the effect of a continuous variable on a categorical variable

Which of the following is NOT an assumption of a two-way ANOVA?

• Independence of measurements

• Homogeneity of variances

• Dependent variable must be categorical

• Normality of data within groups

What does the first null hypothesis in a two-way ANOVA state?

• There is a significant difference between the groups of the first factor

• There is no significant interaction effect between the two factors

• There is no significant difference between the groups of the first factor

• There is a significant interaction effect between the two factors

What is the role of the LaVine test in a two-way ANOVA?

• To check the interaction effect between factors

• To check the independence of measurements

• To check the normality of data

• To check the homogeneity of variances

How is the total variance in a two-way ANOVA divided?

• Into variance explained by factors only

• Into variance explained by interaction and error

• Into variance explained by factors, interaction, and error

• Into variance explained by factors and error variance

What does a significant P value indicate in a two-way ANOVA?

• The alternative hypothesis is rejected

• The test assumptions are not met

• The null hypothesis is rejected

• The null hypothesis is accepted

What is the significance of calculating the sum of squares in ANOVA?

• To calculate the degrees of freedom

• To partition the variance among factors and error

• To assess the normality of data

• To determine the mean of the data

What does the interaction effect in a two-way ANOVA refer to?

• The effect of the dependent variable on the factors

• The effect of the error variance on the factors

• The combined effect of two factors on the dependent variable

• The effect of one factor on the dependent variable