Subjects are assigned to more than one treatment condition
Within-Subjects Factorial Design
Assigns subjects to all levels of two or more independent variables
Mixed Design
An experiment with at least one between-subjects and one within-subjects variable
Advantages of Within-Subjects Designs
Use fewer subjects
Save time on training
Greater statistical power
More complete record of subjects' performance
Disadvantages of Within-Subjects Designs
Subjects participate longer
Resetting equipment may consume time
Treatment conditions may interfere with each other
Treatment order may confound results
We can't use a within-subjects design when one treatment condition precludes another due to interference
Order Effects
Positive (practice) and negative (fatigue) performance changes due to a condition's position in a series of treatments
Progressive Error
Encompasses both positive and negative order effects
Counterbalancing
A method of controlling order effects by distributing progressive error across different treatment conditions
Subject-by-Subject Counterbalancing
Controls progressive error for each subject by presenting all treatment conditions more than once
Reverse Counterbalancing
Administers treatments twice in a mirror-image sequence (e.g. ABBA)
Nonlinear Progressive Error
Curvilinear (inverted-U) or nonomonotonic (changes direction) progressive error that cannot be graphed as a straight line
Reverse counterbalancing only controls for linear progressive error
Block Randomization
A subject-by-subject counterbalancing technique where each subject is assigned to several complete blocks of treatments, with each block presenting the treatments in a different random order
Subject-by-subject counterbalancing can result in long-duration, expensive, or boring procedures, especially as the number of treatments increases
Across-Subjects Counterbalancing
Techniques that present each treatment once and control progressive error by distributing it across all subjects
Complete Counterbalancing
Uses all possible treatment sequences an equal number of times, with subjects randomly assigned to one of these sequences
Partial Counterbalancing
A form of across-subjects counterbalancing where only some of the possible (N!) orders are presented
A within-subjects design is usually preferable when you need to control large individual differences or have a small number of subjects, but may not be feasible if the experiment is long or there is a risk of asymmetrical carryover