STAT250_RECIT11

In a one-way ANOVA, the null hypothesis is always:

• a. all the population means are different

• b. some of the population means are different

• c. some of the population means are the same

• d. all of the population means are the same

Which of the following assumptions is NOT required for a one-way ANOVA?

• a. Independence of observations.

• b. Homogeneity of variances.

• c. Normality of the dependent variable within groups.

• d. Equal sample sizes in all groups.

In MLR, Adjusted R^2 will always be greater than R^2.

• TRUE

• FALSE

When performing a two-way ANOVA, how many null hypotheses are typically tested?

• a. 1

• b. 2

• c. 3

• d. The number of independent variables.

What does the term "interaction effect" refer to in the design of experiments?

• a. The combined effect of multiple independent variables on the dependent variable.

• b. The effect of one independent variable on the dependent variable.

• c. The effect of the dependent variable on the independent variable.

• d. The effect of the control variable on the independent variable.

In a one-way ANOVA, what is the purpose of the F-statistic?

• a. To compare the variances within groups to the variances between groups.

• b. To compare the means within groups to the means between groups.

• c. To compare the total sum of squares to the residual sum of squares.

• d. To compare the degrees of freedom within groups to the degrees of freedom between groups.

Which of the following methods can be used to detect multicollinearity in MLR?

• a. Durbin-Watson statistic

• b. Variance Inflation Factor (VIF)

• c. Cook's Distance

• d. Shapiro-Wilk test

• e. Anderson-Darling test

Which of the followings are principle(s) of experimental design?

• Randomization

• Blocking

• Transformation

• Normalization

• Replication

When would you use a two-way ANOVA instead of a one-way ANOVA?

• a. When you have one independent variable and one dependent variable.

• b. When you have two independent variables and one dependent variable.

• c. When you want to compare more than two groups.

• d. When the sample sizes are unequal.

Which of the following technique(s) can be used to address multicollinearity in MLR?

• a. Increasing the sample size.

• b. Adding more predictors.

• c. Removing highly correlated predictors.

• d. Using a higher significance level.

• e. Adding interaction terms.