One-Way ANOVA

What does ANOVA stands for?

• Analysis of value

• Analysis of variance

• Assessment of variability

• Assessment of vulnerability

To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?

• Sample size, number of groups.

• Mean, sample standard deviation.

• Expected frequency, obtained frequency.

• MSTR, MSE

Determine whether the following scenario should be conducted by a one-way ANOVA test or two-way ANOVA test:

Scenario:

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

Suppose you want to study the effect of sugar on memory for words. You have three groups in your experiment, sugar, a little sugar and no sugar. Each participant only participates in one condition of the experiment. The data collected from each group are as shown above.

Calculate the degree of freedom for the test.

• 12, 2

• 2, 12

• 3, 15

• 15, 3

How many levels must there be in one independent variable for an ANOVA to be used?

• 3

• 2

• 1

• 4

What must you include when reporting an ANOVA?

• P value

• Means

• Degrees of freedom

• F statistic

• All of these

What would you use to determine whether significant differences were observed between all levels of your independent variable?

• Box-plots

• F statistic

• Post-hoc tests

• Descriptive statistics

How many independent and dependent variables are there in a One-Way Within Groups ANOVA?

• 1 independent variable and 1 dependent variable

• 2 independent variables and 1 dependent variable

• 1 independent variable and 3 dependent variables

• 1 independent variable and 2 dependent variable

Which of the following is not the assumption of one-way ANOVA?

• The observations are obtained independently and randomly from the population

• The dependent variable is normally distributed

• The independent variables are normally distributed

• Variances are homogeneous for the dependent variable across each group in the population

ANOVA is a statistical method of comparing the _______ of several populations.