More on ANOVA

Read this chapter and complete the questions at the end of each section. While these sections are optional, studying ANOVA may help you if you are interested in taking the Saylor Direct Credit exam for this course.

Multi-Factor Between-Subjects Designs

Questions

Question 1 out of 5.
A simple effect is

The effect of one variable at a single level of another variable.

The effect of one variable on a single level of another variable.

The smallest effect of a variable.

The effect that is an even multiple of the main effect.


Question 2 out of 5.
There is an interaction when

The effect of two variables is larger than the effect of one variable.

The main effects are larger than the simple effects.

The simple effects differ.

The effect of one variable differs depending on the level of another variable.


Question 3 out of 5.
In a two-factor ANOVA in which one variable has 4 levels and the other has 2, what is the df for the interaction?


Question 4 out of 5.
What is the p value for AGE in a two-way ANOVA with these data?

Age	Cond	Score
  1	  1	  9
  1	  2	  7
  1	  3	 11
  1	  1	  8
  1	  2	  9
  1	  3	 13
  1	  1	  6
  1	  2	  6
  1	  3	  8
  1	  1	  8
  1	  2	  6
  1	  3	  6
  1	  1	 10
  1	  2	  6
  1	  3	 14
  1	  1	  4
  1	  2	 11
  1	  3	 11
  1	  1	  6
  1	  2	  6
  1	  3	 13
  1	  1	  5
  1	  2	  3
  1	  3	 13
  1	  1	  7
  1	  2	  8
  1	  3	 10
  1	  1	  7
  1	  2	  7
  1	  3	 11
  2	  1	  8
  2	  2	 10
  2	  3	 14
  2	  1	  6
  2	  2	  7
  2	  3	 11
  2	  1	  4
  2	  2	  8
  2	  3	 18
  2	  1	  6
  2	  2	 10
  2	  3	 14
  2	  1	  7
  2	  2	  4
  2	  3	 13
  2	  1	  6
  2	  2	  7
  2	  3	 22
  2	  1	  5
  2	  2	 10
  2	  3	 17
  2	  1	  7
  2	  2	  6
  2	  3	 16
  2	  1	  9
  2	  2	  7
  2	  3	 12
  2	  1	  7
  2	  2	  7
  2	  3	 11


Question 5 out of 5.
What is the F value for the interaction in a two-way ANOVA with these data? Hint: These are the same data as the previous question.

Age	Cond	Score
  1	  1	  9
  1	  2	  7
  1	  3	 11
  1	  1	  8
  1	  2	  9
  1	  3	 13
  1	  1	  6
  1	  2	  6
  1	  3	  8
  1	  1	  8
  1	  2	  6
  1	  3	  6
  1	  1	 10
  1	  2	  6
  1	  3	 14
  1	  1	  4
  1	  2	 11
  1	  3	 11
  1	  1	  6
  1	  2	  6
  1	  3	 13
  1	  1	  5
  1	  2	  3
  1	  3	 13
  1	  1	  7
  1	  2	  8
  1	  3	 10
  1	  1	  7
  1	  2	  7
  1	  3	 11
  2	  1	  8
  2	  2	 10
  2	  3	 14
  2	  1	  6
  2	  2	  7
  2	  3	 11
  2	  1	  4
  2	  2	  8
  2	  3	 18
  2	  1	  6
  2	  2	 10
  2	  3	 14
  2	  1	  7
  2	  2	  4
  2	  3	 13
  2	  1	  6
  2	  2	  7
  2	  3	 22
  2	  1	  5
  2	  2	 10
  2	  3	 17
  2	  1	  7
  2	  2	  6
  2	  3	 16
  2	  1	  9
  2	  2	  7
  2	  3	 12
  2	  1	  7
  2	  2	  7
  2	  3	 11