Chapter 13 Quiz Review

What does ANOVA stand for?

• Analysis of Deviations

• Analysis of Variance

• Analysis of Varied Applications

• Analysis of Vectors

In a 3 x 2 x 4 study, how many IVs are there?

• 2

• 3

• 4

• 1

Answer explanation

Recall that every number represents one factor (or independent variable) in a study design. Therefore, a 3 x 2 x 4 study indicates that they have three IVs.

Tags

CCSS.HSS.IC.B.3

How many levels are in the second factor of a 3 x 3 study?

• 6

• 3

• 9

• 2

Answer explanation

A level refers to the number of conditions made up within a factor. Since we were looking at the second factor specifically, we will see that it is reported to have 3 levels.

Tags

CCSS.HSS.IC.B.3

Testwise alpha reports the overall probability of making a Type I error within a study.

• True

• False

Answer explanation

False. Experimentwise Alpha measures the overall probability of a Type I error that accumulates after a series of hypothesis tests.

In ANOVA, the total variability is partitioned into two parts. What are these two variability components called?

• Between Subjects and Within Treatments

• Between Subjects and Within Subjects

• Between Treatments and Within Treatments

• Between Treatments and Within Subjects

Answer explanation

The two components are between-treatments variability and within-treatments variability. Recall that the Between-treatments variance is the numerator and the within-treatments variance is our denominator for our F-ratio.

Tags

CCSS.HSS.IC.B.3

What value of F is expected if the null hypothesis is true?

• F = 0

• F = 1

• F < .05

• F > .05

Answer explanation

The null hypothesis claims there is NO difference in the means. Since the numerator of the f-ratio captures variance within one treatment and is divided by another. That means if these two values were the same, their calculated value should be 1.

Tags

CCSS.HSS.ID.A.4

A researcher uses an ANOVA to compare three treatment conditions with a sample of n = 8 in each treatment. For this analysis, what is the df_within?

• df_within = 23

• df_within = 2

• df_within = 9

• df_within = 21

Which of the following is the correct alternative hypothesis for ANOVA?

• H₁ : At least one population mean is different.

The more comparisons you do, the more likely you are to make a _____.

• Type I Error

• Type II Error

• Sampling Error

• Standard Error

Tags

CCSS.HSS.IC.B.3

Besides error, why might there be differences within treatment means?

• Individual Differences

• Treatment Effect

• Sampling Error

• Too Low of a Sample

Tags

CCSS.HSS.IC.B.3