Question

A researcher wants to investigate whether mindfulness training improves ability for employees to notice positive experiences in the workplace, and if this differs by disposition. A factorial design was used to analyze the data. The variables are described below: · Employees were randomly assigned to one of two groups: no training or a half-day session. · Disposition was categorized as follows: optimist, pessimist or realist. · Ability to notice positive experiences in the workplace was quantified using a Likert-based ambulatory assessment.
1. How many factors are there?	3
2. What is the factorial notation for this design?	2x2x3
3. If there is a main effect of Training, would Tukey’s HSD need to be calculated? Why or why not?	Yes so that you can tell which disposition types differed from each other
4. What is the dependent variable?	Positive experience in the workplace.
5. How many conditions (cells) are there in the scenario?	12
6. How many null hypotheses (and thus, F-ratios) are there in this scenario?	6

Are these answers correct?

Answer 1

1. How many factors are there?	2(Training at 2 levels and disposition at 3 levels)
2. What is the factorial notation for this design?	2x3
3. If there is a main effect of Training, would Tukey’s HSD need to be calculated? Why or why not?	No, if the main effect of Training is significant, then since there are only two levels for this, there won't be any need for Tukey's HSD.
4. What is the dependent variable?	Positive experience in the workplace quantified using a likert scale
5. How many conditions (cells) are there in the scenario?	6
6. How many null hypotheses (and thus, F-ratios) are there in this scenario?	3(Two main effects and 1 interaction effect)

Hope things are clear now.