Chapter 13: More About Multi-Factor Experiments

Chapter Overview

  • Discusses multi-factor experiments in psychology.

Steps in the Research Process

  • Step 1: Choose a research question.
  • Step 2: Conduct a literature review.
  • Step 3: Develop a hypothesis.
  • Step 4: Design the study (experiments).
  • Step 5: Conduct the study.
  • Step 6: Analyze the data.
  • Step 7: Report the results.

Factorial Designs

  • Used by psychologists for experimenting with multiple independent variables.
  • Advantages:
    • Efficiently tests effects of several independent variables.
    • Examines combined effects on the dependent variable.

Example: Design of Factorial Experiment with Daphne

  • Independent Variables (IV):
    • Treatment Type: Worn shirt vs. Chew toy.
    • Length of Outing: Short vs. Long.
  • Conducted 5 trials for each condition.

Interaction Effects

  • Interaction effect is analyzed by comparing differences between rows or columns in data.
  • Main Effects:
    • Test the independent effect of each independent variable on the dependent variable.
    • Conducted through ANOVA (Analysis of Variance).
    • Main Effects Examined By:
    • Comparing mean scores of each IV level.

ANOVA

  • Tests interaction effects of one IV at each level of another IV to see how they affect the dependent variable.

Condition and Marginal Means Example


  • Daphne's Experiment Mean Results:

Treatment TypeShort OutingLong OutingMarginal Means
Worn clothes423
Chew toy163.5
Outing Length Marginal Means2.5

General Factorial Design

  • Each IV has levels that can be averaged to determine overall means and interaction effects.

Specific Factorial Design Example

  • Types of therapy and their lengths can lead to different outcomes based on averages of means.

Examples of Interaction Effects

  • Different types of interactions displayed through graphs comparing mean depression scores across various therapy types and durations.
  • Graph Analysis: Key to identifying types of interactions.

Cognitive Example: Payne, 2006

  • Participants judged whether an object was a tool or weapon based on the race of a face seen before the object.
  • Findings showed biases based on race when participants were under pressure (snap judgments).

Example Multi-Factor Experiment: Darley and Batson (1973)

  • Study focused on seminary students' behaviors after attending a lecture based on urgency and topic:
    • Independent Variables:
    • Topic of the lecture: "Good Samaritan" vs. "Getting a Job".
    • Urgency: Early vs. Running Late.
  • Procedure:
    • Students encountered a confederate in need of help on their way to the next task.
    • Responses to help were coded on a scale from 0 (ignored) to 5 (full assistance).

Findings from Good Samaritan Study

  • The topic of the lecture did not significantly affect helping behavior.
  • Urgency was found to significantly impact whether students helped (more help from those in no hurry).

Common Pitfalls in Factorial Experiments

  • Identifying Interactions:

    • Issue: Not recognizing interactions.
    • Solution: Graph condition means to detect interactions via non-parallel lines.
  • Understanding Main Effects vs. Interactions:

    • Issue: Difficulty distinguishing between main effects and interactions.
    • Solution: Separate graphs can help clarify the impact of one independent variable on levels of others.

Summary and Conclusions

  • Factorial designs allow for experiments with two or more independent variables.
  • They are more efficient than separate studies for each effect.
  • Significant interaction effects can be visualized through graphs to clarify interactions between variables.