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 Type | Short Outing | Long Outing | Marginal Means | |
|---|---|---|---|---|
| Worn clothes | 4 | 2 | 3 | |
| Chew toy | 1 | 6 | 3.5 | |
| Outing Length Marginal Means | 2.5 | |||
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.