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This overview provides a comparison between experimental and observational research, discusses variables and designs in experiments, and explains the similarities and differences between between-group, within-subject, and mixed-model designs.
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Overview • Experimental versus observational research • Variables • Designs • Between-group • Within-subject • Similarities and differences • Mixed-model
Background on Experiments • Study where a researcher systematically manipulates one variable in order to examine its effect(s) on one or more other variables • Two components • Includes two or more conditions • Participants are randomly assigned by the researcher • Random = Equal odds of being in any particular condition • Examples • People with GAD randomly assigned to three treatments so the researchers can examine which one best reduces anxiety • Students assigned to a “mortality salience” or control condition so the research can examine the impact on “war support”
Variables • Independent Variable • Manipulated by the researcher • Typically categorical • Also called a “factor” that has “levels” • Factor = Type of anxiety treatment • Level = CBT (or Psychodynamic or Control) • Dependent Variable • Outcome variable that is presumably influenced by (depends on the effects of) the independent variable • Behavior frequencies, mood, attitudes, symptoms • Typically continuous
Variables • Confounds (extraneous variables, 3rd variables) • Happens when unwanted differences (age, gender, researchers, environments, etc.) across experimental conditions • Plan: Think of potential confounds up front • Control for them methodologically • Measure them to examine whether they have an effect • Control for them statistically
Experimental Designs • Three main designs • Between-group design • Also called a “between-subjects design,” or “randomized controlled trial” (if clinically focused) • Within-subject design • Also called a “repeated-measures design” • Mixed-model design • Combines both of the above
Between-group Design • IV: 2 or more randomly-assigned groups of people • DV: Usually a continuous variable
Within-subject Design • Any time that a study assess participants on the DV on more than one occasion • Example: Participants go through more than one experimental condition
Similarities • Uses the same type of analyses • p-values obtained from t-tests (if two conditions) or F-tests/ANOVA (if more than two conditions) • Is the result statistically significant, reliable, trustworthy? • Cohen’s d used to compute effect size • Tells the number of standard deviations by which two groups differ (kind of like r but on a scale from -∞ to ∞)
Cohen’s d • Calculator • http://www.psychmike.com/calculators.php • Usually use the first formula, requires M, SD, and n • Can calculate by hand with a simple formula, but it doesn’t account for differences in sample size across conditions, so less accurate • d = = (Mean difference) / standard deviation • s = average standard deviation across groups
Calculation Example: Does athletic involvement improve physical health? M1 = 6.47 M2 = 6.75 s = (1.87+1.94) / 2 = 1.91 d = (6.47 – 6.75) / 1.91 = -0.28 / 1.91 = -0.15 = 0.15 weak effect! +/- sign is arbitrary, so usually just dropped
2014 article in Lancet (impact factor: 45.2) Take-home from the abstract:
Differences • Between-group design required when it is impossible or impractical to put participants through more than one condition • Within-subject design is more powerful • More likely to get significant p-value and bigger effect sizes. Why? It allows each participant to serve as their own control, canceling out a lot of cross-participant variability • Between-group design requires more people • Within-subject design is prone to ordering effects (order of conditions can effect results), such as progressive effects, or carryover effects • Solution: Counterbalancing
Mixed-model Design • Many different types, but requires • Random assignment of people to different groups • Repeated measurement of dependent variable over time • Benefits of both designs • Example: Pre-post between-group design