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Single-Factor Experimental Designs
Passer Chapter 8 Slides Prepared by Alison L. O’Malley
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What does it mean to have experimental control?
Here, the focus in on experiments with one independent variable (i.e., single-factor designs).
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Experimental Control Manipulation of one or more IVs Measured DV(s)
Everything else held constant Need to rule out all possible influences on the DV other than the IV!
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Experimentation: Some Review
What are the three criteria that must be met in order to make a causal inference? What is a confounding variable?
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Causality and Confounds
What are the three criteria that must be met in order to make a causal inference? Covariation of X and Y Temporal order Absence of plausible alternative explanations What is a confounding variable? A factor that covaries with the IV Cannot tell whether the IV or the confound affects the DV How can confounding factors be reduced?
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Confounding Variables
Many environmental factors can be held constant This is why laboratory settings are so attractive! Those environmental factors that cannot be held constant (e.g., time of day) can be balanced across different experimental conditions
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Confounding Variables
Confounds dealing with participant characteristics (e.g., personality, age) are further addressed through experimental design One major distinction to attend to is whether psychological scientists employ a between-subjects design or a within- subjects design
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Research Design Description Confounds minimized through… Between-subjects Different participants in each condition Random assignment Within-subjects Participants encounter all levels of experiment Counterbalancing
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Between-Subjects Designs
Age, cognitive ability, personality, mood, ethnicity, eating habits…and so on In theory, randomly assigning participants to levels of the IV (1, 2, or 3) will distribute individual differences throughout the conditions so experimental groups are equivalent in every way except the IV. Level 1 Participant ID: 1 2 3 4 5 Level 2 Participant ID: 6 7 8 9 10 Level 3 Participant ID: 11 12 13 14 15
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Within- Subjects Designs
Participants serve as their own controls Counterbalancing ensures that participants experience the IV levels in different orders. Level 1 Participant ID: 1 2 3 4 5 Level 2 Participant ID: 1 2 3 4 5 Level 3 Participant ID: 1 2 3 4 5
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Manipulating an IV REMEMBER: Above all else, hypotheses must be TESTABLE!
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The Case for Multilevel Designs
A two-group design would miss this nonlinear effect 3 or more levels of the IV
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Experimental and Control Conditions
More experimental terminology Participants in an experimental condition are exposed to a “treatment,” whereas participants in a control condition do not receive the treatment. E.g., In goal setting theory research, participants in the experimental condition are given a difficult, specific goal to achieve, whereas participants in the control condition are simply told to do their best.
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Between-Subjects Designs: Advantages
No carryover effects Less likely that participants will catch on to the hypothesis Exposure to multiple levels of the IV may be impossible or ethically and practically difficult
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Between-Subjects Designs: Disadvantages
Different people in each condition generate more “noise” (i.e., variability), making it more difficult to establish an effect of the IV on the DV More participants required
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Between-Subjects Designs: Independent-Groups
Participants randomly assigned to conditions What are potential issues with random assignment? Block randomization helps overcome these issues Run through random order of blocks (rounds of conditions) until desired sample size reached
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Between-Subjects Designs: Matched-Groups
Identify a relevant characteristic (a matching variable) and randomly assign participants to conditions based on their standing (e.g., high, average, low) on this characteristic Wise to use possible confounds as matching variables
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Between-Subjects Designs: Natural-Groups
Rather than manipulate IV, create different groups of participants based on naturally occurring attributes called subject variables (e.g., age, gender, personality) Subject variables often referred to as quasi-IVs But is this truly an experimental design?
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Concept Clarification
What is the difference between random sampling and random assignment?
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Random Sampling vs. Random Assignment
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Within-Subjects Designs: Advantages
Also called repeated-measures designs Need fewer participants Can collect more data per condition Required to investigate certain research questions Don’t have to worry about non- equivalent groups
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Within-Subjects Designs: Disadvantages
Greater likelihood that participants will catch on to experiment’s purpose Cannot accommodate all research questions Order/sequence effects occur when participants are affected by the order in which they encounter conditions
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Within-Subjects Designs: More on order effects
Progressive effects occur when participants are altered by the sequence of conditions they encounter (e.g., acquiring experience with the task and thus improving performance) Carryover effects occur when participants’ responses in one condition are affected by the prior condition (e.g., taste of stimulus from Trial 1 lingers during Trial 2) The cure? COUNTERBALANCING
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Within-Subjects Designs: Counterbalancing Goals
Every condition of the IV appears equally often in each position Every condition appears equally often before and after every other condition Every condition appears with equal frequency before and after every other condition within each pair of positions in the overall sequence
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Within-Subjects Designs: All Possible Orders
Also known as complete counterbalancing Establish all possible sequences (n!) of IV conditions, and assign equal number of participants to each sequence Every possible confounding effect is counterbalanced (hence the name!) Requires a large number of participants to satisfy all counterbalancing goals
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Within-Subjects Designs: Latin Square
Matrix design wherein matrix structured so that each condition appears only once in each column and each row
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Within-Subjects Designs: Latin Square
Accomplishes goals of all-possible- orders design except Goal 3 When IV has odd number of conditions, cannot construct a single matrix that accomplishes Goal 2 if using a Williams Latin Square Alternative method is random starting order with rotation
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Within-Subjects Designs: Random-Selected-Orders
Subset of orders is randomly selected from the set of all possible orders Each order administered to one participant Refrain from using with small number of participants
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Within-Subjects Designs: Other Options
Two designs wherein participants encounter each condition more than once May be more practical than other counterbalancing designs, lets you examine reliability of participants’ responses, and extends generalizability of results
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Within-Subjects Designs: Block-Randomization-Design
Participants encounter all conditions within a block and are exposed to multiple blocks Each block contains a newly randomized order of conditions How does this block randomization design differ from that applied in between- subjects designs?
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Within-Subjects Designs: Reverse-Counterbalancing
Also called an ABBA-counterbalancing design Participants first receive random order of all conditions Participants then receive conditions once more in reverse order Watch out for nonlinear order effects!
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Making Sense of Experimental Data
First compute descriptive statistics (e.g., mean for each condition) Inferential statistics then used to establish whether findings are statistically significant Are differences between conditions due to chance? Remember that p < .05 criterion?
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Making Sense of Experimental Data
t test examines mean difference between two conditions ANOVA (analysis of variance) used with three or more conditions Would researchers use a t test or ANOVA here?
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Making Sense of Experimental Data
An ANOVA would be preferable given that there are 3 conditions If ANOVA reveals a statistically significant overall pattern of mean differences, post-hoc tests can reveal which which means differ
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