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3x3 Structure for single-IV designs– (3) Design differences & causal interpretability– (3) Design differences & statistical models
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Operational Definitions & “kinds” of IVs
Choice of ANOVA is not influenced by which of these types of designs is used -- only the causal
interpretability of results.
conditions of the IV by the researcher beforemanipulation of the IV
on going equivalence
difficult
randomly by the researcher – but some variability inthe definition!) before manipulation of
the IV
variability in the definition!)
process
random assignment by the researcher Examples:•^
state, county, town, block where you live
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hospital, clinic, center
-^
school, class, section Why randomizing intact groups doesn’t produce initial
equivalence,
There is some “reason” folks are in the groups they are --not random or independent assignment
There is no reason to believe that different groups haveinitial equivalence relative to each other
So, randomly assignment groups doesn’t endure initialequivalence of individuals Often referred to “unit of assignment” (groups) not matching the
“unit of analysis” (individuals)
Candidates for Matching Variables• Subject/measured variables that are known or likely potential
causal influences on the DV (besides the IV)
can’t be a confounding variable
manipulation, then whatever “confounds” were operating onthat DV are expected to be continue operating equivalentlyduring the study
“yoking”)
Remember, you must:• have a good reason for using each matching variable
matches •there’s a trade-off between the “exactness” of the matches
and the number of matches you can make
form the matches before time to manipulate the IV (or it be“naturally manipulated”)
Which ANOVA for which design?What we’ve called “Between Groups ANOVA” is more properlycalled “ANOVA for Independent Groups”
Matched Groups designs
Kinds of Independent Variables …Manipulated by the Experimenter
-- required for causal interpretability of the results-- not all IVs can be manipulated-- limited by technology, ethics, cost, ingenuity
Measured by the Experimenter
-- results are not be causally interpretable
Having the these two types of IVs means you have to paycareful attention to the operationalization of the IV &sometimes have to be specific about which variable is the IVand which is the DV (especially since Psychologists can bevery clever about finding ways to manipulate IVs)
e.g.,
Mood and Performance
Version #1 RH: Mood influences PerformanceUpon entering the lab, each subject completed a questionnairethat was used to assign them to either the “good mood” or the“poor mood” condition. Each subject then completed a batteryof complex concept formation tasks, from which a performancescore is determined.IV ??
Type ??
DV ??Causally Interpretable ??
Version #
RH: Mood influences Performance
Upon enter the lab, each subject was approached by aconfederate of the researcher who sat next to them and (basedupon the results of a coin-flip) either complimented their dressand appearance, etc., or “accidentally” knocked over their books,spilled a drink on them, etc. Each subject then completed abattery of complex concept formation tasks, from which aperformance score was determined.IV ??
Type ??
DV ??Causally Interpretable ?? Was “mood” operationalized the same in the two studies?Which version has better internal validity? … external validity?