An experimenter wanted to investigate simultaneously the effects of two types of reinforcement schedules (random/spaced) and three types of reinforcers (token/money/food) on the arithmetic problem-solving performance of second-grade students. A sample of 66 second-graders was identified and randomly assigned to each of the six combinations of reinforcement schedules and reinforcers (11 in each condition). Students study arithmetic problem solving under these six conditions for three weeks, and then took a test over the material they studied. The SPSS data file includes 66 cases and three variables: a factor distinguishing between the two types of reinforcement schedules (random or spaced), a second factor distinguishing among three types of reinforcers (token, money, or food) and the dependent variable, an arithmetic problem-solving test.

Conduct a two-way ANOVA to analyze these data.

1. Identify the following information from the output:

a. F value for the schedule main effect

b. Effect size for the interaction effect

c. Mean problem-solving score for the cell associated with the random schedule and the money reinforcer.

d. p for the interaction between reinforcer and schedule

2. Write the results section based on your output

3. Create a graph or a chart to visually represent the interaction between schedule type and reinforcer type on test scores.