Understanding Two-Way ANOVA

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

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

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

• To test the effect of one categorical variable on another categorical variable

• To test the effect of one continuous variable on another continuous variable

Which of the following is an example of a categorical variable in the context of two-way ANOVA?

• Age

• Drug type

• Height

• Blood pressure reduction

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

• The effect of a variable on itself

• The effect of a continuous variable

• The effect of one variable ignoring the other

• The combined effect of two variables

In a two-way ANOVA, what does the interaction effect represent?

• The effect of a variable on itself

• The effect of a continuous variable

• The combined effect of two variables on a dependent variable

• The effect of one variable on another

What is the sum of squares in the context of ANOVA?

• The total mean of the dependent variable

• The total variance of the dependent variable

• The total product of the dependent variable

• The total sum of the dependent variable

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

• By multiplying the sum of squares by the degrees of freedom

• By dividing the sum of squares by the degrees of freedom

• By dividing the sum of squares by the total mean

• By adding the sum of squares to the degrees of freedom

What is the purpose of calculating the F value in ANOVA?

• To test the hypothesis about the means

• To determine the mean of the data

• To find the total variance

• To calculate the sum of squares

How is the F value obtained in a two-way ANOVA?

• By multiplying the variance of a factor by the error variance

• By dividing the variance of a factor by the error variance

• By adding the variance of a factor to the error variance

• By dividing the variance of a factor by the total variance

What is required to calculate the P value in ANOVA?

• The degrees of freedom and F distribution

• The mean and standard deviation

• The sum of squares and total mean

• The interaction effect and main effect

What does it mean if the calculated F value is greater than the critical F value?

• The alternative hypothesis is rejected

• The test is inconclusive

• The null hypothesis is accepted

• The null hypothesis is rejected