In the table below you will find data for three variables. This is a study that
ID: 3324975 • Letter: I
Question
In the table below you will find data for three variables. This is a study that measures the effect of stress levels and generalized anxiety disorder diagnosis on productivity in problem solving skills. Draw a chart reflecting the ANOVA that would be used to analyze this. Are there any main effects? Explain why there are or are not any main effects. Are there any interaction effects? Explain why there is or is not an interaction effect?
Stress Level
Low
Medium
High
Generalized Anxiety
Has Anxiety
25
35
45
No Anxiety
45
35
25
Stress Level
Low
Medium
High
Generalized Anxiety
Has Anxiety
25
35
45
No Anxiety
45
35
25
Explanation / Answer
From the data given, we can use two way chi square test only.
The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].
The chi-square statistic is 11.4286. The p-value is .003299. The result is significant at p < .05.
So their is an interaction effect between Stress levl and anxiety.
Results Low Medium High Row Totals Anxiety 25 (35.00) [2.86] 35 (35.00) [0.00] 45 (35.00) [2.86] 105 No Anxiety 45 (35.00) [2.86] 35 (35.00) [0.00] 25 (35.00) [2.86] 105 Column Totals 70 70 70 210 (Grand Total)