ANOVA

Which of the following statements is true about one-way ANOVA?

• It is used to compare means between two groups.

• It is used to compare means between three or more groups.

• It is used to compare variances between two groups.

• It is used to compare variances between three or more groups.

In a two-way ANOVA, how many factors are being analyzed?

• One factor

• Two factors

• Three factors

• It depends on the specific study design.

What is the purpose of conducting a one-way ANOVA?

• To determine if there is a significant main effect of a factor.

• To determine if there is a significant interaction between two factors.

• To determine if there is a significant difference between multiple groups.

• To determine if there is a significant difference between two groups.

What is the main difference between a one-way ANOVA and a two-way ANOVA?

• One-way ANOVA can only analyze one factor, while two-way ANOVA can analyze two factors.

• One-way ANOVA can analyze categorical variables, while two-way ANOVA can only analyze continuous variables.

• One-way ANOVA can only test for differences in means, while two-way ANOVA can test for differences in means and variances.

• There is no difference; one-way and two-way ANOVA are two terms for the same statistical test.

What does the p-value obtained from an ANOVA test represent?

• The effect size of the variables being compared.

• The direction of the relationship between the variables being compared.

• The strength of the association between the variables being compared.

• The probability of observing the obtained difference in means or variances by chance alone.

What is the null hypothesis for a one-way ANOVA?

• There is no difference between the means of the groups.

• There is no difference between the variances of the groups.

• There is no association between the factors being analyzed.

• There is no interaction between the factors being analyzed.

Which statistical test is used to determine the significance of the main effects and interaction in a two-way ANOVA?

• Chi-square test

• Student's t-test

• F-test

• Pearson correlation coefficient

In a two-way ANOVA, if there is a significant interaction effect between Factor A and Factor B, it means:

• There is a significant difference in means between the levels of Factor A.

• There is a significant difference in means between the levels of Factor B.

• The effect of Factor A on the dependent variable depends on the levels of Factor B.

• The effect of Factor B on the dependent variable depends on the levels of Factor A.

What is the purpose of conducting post hoc tests after performing a one-way ANOVA?

• To identify the specific groups that differ significantly from each other.

• To determine the effect size of the factors being analyzed.

• To assess the strength of the relationship between the variables.

• To determine the probability of obtaining the observed results by chance alone.

What is the assumption of homogeneity of variances in ANOVA?

• The means of the groups being compared are equal.

• The variances of the groups being compared are equal.

• The data points within each group are normally distributed.

• The data points within each group are independent.