Essay

Describe the rule used to calculate the total number of simple effects analyses in a factorial experiment. In your response, explain why the number of simple effects depends on the levels of the independent variables, and provide the examples of designs and their corresponding number of simple effects as mentioned in the text.

Question: Describe the rule used to calculate the total number of simple effects analyses in a factorial experiment. In your response, explain why the number of simple effects depends on the levels of the independent variables, and provide the examples of designs and their corresponding number of simple effects as mentioned in the text.

Sample answer: The total number of simple effects analyses in a factorial experiment is calculated as the sum of the levels of all interacting independent variables. This is because a separate analysis of each independent variable is conducted at every level of the other independent variable. For example, a 2×22 \times 2 design yields 44 simple effects (2+22 + 2), a 2×32 \times 3 design yields 55 simple effects (2+32 + 3), and a 3×33 \times 3 design yields 66 simple effects (3+33 + 3).

Key points:

  • The total number of simple effects is the sum of the levels of all interacting independent variables.
  • A separate analysis of each independent variable is conducted at every level of the other independent variable.
  • A 2×22 \times 2 design yields 44 simple effects, a 2×32 \times 3 design yields 55, and a 3×33 \times 3 design yields 66.

Rubric: Students must: 1. State that the total number of simple effects equals the sum of the levels of all interacting independent variables. 2. Explain that a separate analysis of each independent variable is conducted at every level of the other independent variable. 3. List the examples from the text: a 2×22 \times 2 design yields 44 simple effects, a 2×32 \times 3 design yields 55 simple effects, and a 3×33 \times 3 design yields 66 simple effects.

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Updated 2026-05-26

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Research Methods in Psychology - 4th American Edition @ KPU

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