Quiz No. 4 & 5 - One-Way ANOVA and Two-Way ANOVA

The following are assumptions for ANOVA except:

• Variance must be homogenous

• There should be 4 or more independent groups

• Data must be normally distributed

• Randomly selected

ANOVA testing is used for ...

• Test for one mean

• Test for two means

• Test for three or more means

• Test for independence between two variables

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A researcher want to determine whether there is an interaction between physical activity level and gender on blood cholesterol concentration in children.

• one-way ANOVA test

• two-way ANOVA test

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A group of psychiatric patients are trying three different therapies: counseling, medication and biofeedback. They want to see if one therapy is better than the others.

• one-way ANOVA test

• two-way ANOVA test

ANOVA stands for ...

• Analysis of Variation

• Analysis of Variance

• Analysis of Variability

• A Non-Visual Analysis

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A nutritionist is studying the effects of diet on cholesterol in men and women. She has data which reports cholesterol levels for men and women for three different diets (low-fat low calorie, Adkins diet, Mediterranean diet).

• one-way ANOVA test

• two-way ANOVA test

This test is the nonparametric alternative of One-Way ANOVA often used when the level of measurement is ordinal.

• Kruskal-Wallis Test

• Wilcoxon Test

• Mann-Whitney U Test

• Binomial Test of Equality

Which is NOT Assumptions and Design Consideration for One-Way ANOVA

• Normal distributed population

• Independence of error

• Homogeneity of viscoscity

• Data scale

Given Null hypothesis H0: µ1 = µ2 = µ3 ……….. µk. What does the "K" stand for?

• Number of levels

• Number of row data

• Number of column data

• Number of variables

Given the alternative hypothesis Ha: µ1 ≠ µ2 ≠ µ3 ≠ …….. µk. Which are the correct interpretations?

• The population mean is not same in all the groups

• At least one group is different from another

• Population means and hypothesized valueare equal

• The population mean is same in all the groups