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Questions and Answers
Which of the following statements about factorial designs is true?
Which of the following statements about factorial designs is true?
- A main effect is the interaction between two independent variables.
- Factorial designs can have more than two independent variables. (correct)
- Factorial designs can only have two independent variables.
- Factorial designs can provide information about treatment effects but not interaction effects.
Which of the following is an example of a main effect in a factorial design?
Which of the following is an example of a main effect in a factorial design?
- The effect of perpetrator's gender on a crime.
- The effect of exercise intensity and duration on depression. (correct)
- The effect of temperature and humidity on plant growth.
- The effect of psychotherapy and antidepressant drugs on depression.
In a 2 x 3 x 3 factorial design, how many treatment conditions are there?
In a 2 x 3 x 3 factorial design, how many treatment conditions are there?
- 18 (correct)
- 3
- 2
- 6
What is the purpose of performing a statistical test in a factorial design?
What is the purpose of performing a statistical test in a factorial design?
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Which of the following is not true about factorial designs?
Which of the following is not true about factorial designs?
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Study Notes
Factorial Designs
- A factorial design is a type of experimental design that involves two or more factors, each with multiple levels.
- The purpose of performing a statistical test in a factorial design is to determine the significance of the main effects and interactions between factors.
Main Effects in Factorial Designs
- A main effect in a factorial design refers to the effect of one factor on the response variable, averaging across the levels of the other factors.
Treatment Conditions in Factorial Designs
- In a 2 x 3 x 3 factorial design, there are 2 × 3 × 3 = 18 treatment conditions.
Characteristics of Factorial Designs
- Factorial designs allow for the estimation of main effects and interactions between factors.
- Factorial designs are useful for studying the joint effects of multiple factors on a response variable.
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