Using the following table, provide three examples of a simple one-way ANOVA, two examples of a two-factor ANOVA, and one example of a three-factor ANOVA. Be sure to identify the grouping and the test variable (just like the book).
Design |
Grouping Variable(s) |
Test Variable |
Simple ANOVA |
For example:Four levels of hours of training – 2, 4, 6, and 8 hours |
Typing accuracy |
|
|
|
|
|
|
|
|
|
Two-factor ANOVA |
For example: Two levels of training and gender (2 x 2 design) |
Typing accuracy |
|
|
|
|
|
|
Three-factor ANOVA |
For example: Two levels of training and two of gender and three of income |
Voting attitudes |
|
|
2. A researcher reports an F-ratio with df= 2, 12 for a repeated measures of ANOVA.
b. How many individuals participated in the study?
3. An analysis of variance was used to evaluate the mean differences from a repeated-measures research study. The results were reported as F(3,24)=6.40.
b. How many individuals participated in the study?
4. Create a drawing or plan for a 2 x 3 experimental design that would lend itself to a factorial ANOVA. Be sure to identify the independent and dependent variables.
5. First-born children tend to develop language skills faster than their younger siblings. One possible explanation for this phenomenon is that first-borns have undivided attention from their parents. If this explanation is correct, then it also reasonable that twins should show slower language development than single children and that triplets should be even slower. Davis found exactly this result. The following hypothetical data demonstrate the relationship. The dependent variable is a measure of language skill at age 3 for each child. Do the data indicate any significant differences? Test with α=0.05.
Single child |
Twin |
Triplet |
8 |
4 |
4 |
7 |
6 |
4 |
10 |
7 |
7 |
6 |
4 |
2 |
9 |
9 |
3 |
The deadline for this assignment is 11:59 PM EST on Sunday of Week 6
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