Experimental Design: Single factor designs

1. Experimental Design: Single factor designs Psych 231: Research Methods in Psychology

2. Announcements • Reminder: your group project experiment method section is due in labs this week

3. Experimental designs • So far we’ve covered a lot of the details of experiments, now let’s consider some specific experimental designs. • 1 Factor, two levels • 1 Factor, multi-levels • Factorial (more than 1 factor) • (next Monday’s lecture) • Between & within factors • (this Wednesday’s lecture)

4. Single variable – One Factor designs • 1 Factor, two levels • Basically you want to compare two treatments (conditions) • The statistics are pretty easy, a t-test Observed difference btwn conditions T-test = Difference expected by chance

5. 1 factor - 2 levels • Example • How does anxiety level affect test performance? • Two groups take the same test • Grp1 (moderate anxiety group): 5 min lecture on the importance of good grades for success • Grp2 (low anxiety group): 5 min lecture on how good grades don’t matter, just trying is good enough

6. Random Assignment Dependent Variable Anxiety Low Test participants Moderate Test 1 factor - 2 levels

7. One factor low moderate test performance low moderate anxiety Two levels Single variable – one Factor anxiety 60 80

8. Single variable – one Factor • Advantages: • Is the independent variable worth studying? • If no effect, then usually don’t bother with a more complex design • Sometimes two levels is all you need • One theory predicts one pattern and another predicts a different pattern

9. Single variable – one Factor • Disadvantages: • “True” shape of the function is hard to see • interpolation and extrapolation are not a good idea

10. Interpolation What happens within of the ranges that you test? test performance low moderate anxiety

11. high Extrapolation What happens outside of the ranges that you test? test performance low moderate anxiety

12. 1 Factor - multilevel experiments • For more complex theories you will typically need more complex designs (more than two levels of one IV) • 1 factor - more than two levels • Basically you want to compare more than two conditions • The statistics are a little more difficult, an ANOVA (analysis of variance)

13. 1 Factor - multilevel experiments • Example (same as before with one more group) • How does anxiety level affect test performance? • Three groups take the same test • Grp1 (moderate anxiety group): 5 min lecture on the importance of good grades for success • Grp2 (low anxiety group): 5 min lecture on how good grades don’t matter, just trying is good enough • Grp3 (high anxiety group): 5 min lecture on how the students must pass this test to pass the course

14. Random Assignment Dependent Variable Anxiety Low Test participants Moderate Test High Test 1 factor - 3 levels

15. anxiety mod high low test performance 60 80 low mod high anxiety 1 Factor - multilevel experiments 60

16. 1 Factor - multilevel experiments • Advantages • Gives a better picture of the relationship (function) • Generally, the more levels you have, the less you have to worry about your range of the independent variable

17. 2 levels 3 levels testperformance test performance low mod high low moderate anxiety anxiety Relationship between Anxiety and Performance

18. 1 Factor - multilevel experiments • Disadvantages • Needs more resources (participants and/or stimuli) • Requires more complex statistical analysis (analysis of variance and pair-wise comparisons)

19. Pair-wise comparisons • The ANOVA just tells you that not all of the groups are equal. • If this is your conclusion (you get a “significant ANOVA”) then you should do further tests to see where the differences are • High vs. Low • High vs. Moderate • Low vs. Moderate

20. Next time • Adding a wrinkle: between-groups versus within-groups factors • Read chapter 11