Write the A x B notation for the ANOVA you would use to analyze the following scenario:

  1. Answer the following questions based on this A x B notation: 4 x 2 x 2 ANOVA

How many factors are there?

Label the factors in alphabetical order and report how many levels each factor has:
For example use the format: Factor Z has 8 levels

2.Write the A x B notation for the ANOVA you would use to analyze the following scenario:
A researcher wants to test whether the patience of new mothers differs depending on whether they are pet owners (no pets, cat owner, dog owner) and whether they have any previous children (no other children, has previous children).

3.Observe the means below. Assume that any difference between means is statistically significant. List any/all of the significant effects.

DV = Minutes to complete task Child Adult  
Word Puzzle 5.09 4.72  
Visual Puzzle 6.00 7.19  
       

4.Observe the graph below. Assume that any difference between means is statistically significant. List any/all of the significant effects.

Use the scenario below to answer the next set of questions:
The social facilitation effect predicts that unskilled performers will perform worse with an audience than when alone, but that skilled performers will perform better with an audience than when alone. A researcher wants to test whether there is support for this hypothesis. The researcher creates four conditions: unskilled alone, unskilled audience, skilled alone, skilled audience with 50 participants per condition.

  1. Complete the table below and state which effects (if any) are statistically significant.
  SS df MS F
Factor A 82134.045      
Factor B 22.445      
Interaction 20787.605      
Error 7064.78      
Total 110008.875      

6.State which effects (if any) are statistically significant.

7. Explain which follow-up tests you should run.
Note: It is not enough to simply state the name of the test (e.g. pairwise comparison, simple main effect). You should state the name of the test and which cells/levels/means you will be comparing