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systematic between-groups variance
experimental variance, extraneous variance, deterministic
Nonsystematic within-groups variance
error variance, random
experimental variance
due to the independent variable
extraneous variance
due to the confounding variables
error variance
due to chance factors and individual differences, analyze the results of our study using the F-test(ANOVA), ratio of between groups variation to within groups variation
Maximizing experimental variance
real differences between the groups on the independent variable, manipulation check, multiple levels, increase differences between groups
controlling extraneous variance
groups as similar as possible at the start of the study, random assignment, select participants who are similar (limits external validity), build a confound into the study as another IV, the only difference is the independent variable manipulation
minimizing error variance
careful measurement, control over setting, reliable measures, special designs(ex. correlated group designs), within groups designs eliminates the typically largest source of error variance which is individual differences, control in research is control of variance
nonexperimental designs
do not include the critical controls of experimental designs, may still be used but caution is necessary, 4 designs( ex post facto design, single group posttest only design, single group pretest posttest design, pretest posttest natural control group design)
ex post facto design
a very weak design, what we do when we try to figure out after the fact what caused something to happen, not good science, does not control confounding variables
single group posttest only design
even with the manipulation virtually no control over confounding variables, we tend to use an implicit control group (What we think would have happened if there had been no manipulation)
single group pretest posttest design
the pretest documents that change occurred but factors other than the treatment could have accounted for the change, history, maturation, regression to the mean, etc.
pretest posttest natural control group design
like an experiment except that participants are not randomly assigned to the groups, a reasonably strong design except that it does not control for selection, selection could be a powerful confounding factor in many studies
experimental designs
meet all criteria for an experiment, provide more powerful tests of hypotheses, 3 designs(randomized posttest only control group design, randomized pretest posttest control group design, multilevel completely randomized between subjects designs)
randomized posttest only control group design
random assignment controls for selection, other confounding variables are controlled by comparing the treatment and no treatment groups, for example history and maturation should be the same in both groups
randomized pretest posttest control group design
adding a pretest allows us to quantify the amount of change following treatment, also allows us to verify that the groups were equal initially, a strong basic research design with excellent control over confounding
multilevel randomized between subjects design
may or may not include a pretest, multigroup extension of the basic experimental designs, controls virtually all sources of confounding variables
solomons four group design
a way to deal with a possible pretest manipulation, combines two basic experimental designs (randomized posttest only control group design, randomized pretest posttest control group design)
within subjects design
same participants in each group, all participants are exposed to all experimental conditions, need to control for sequence effects, the experience with one condition affecting performance in subsequent conditions, controlled by varying the order of presentation (counterbalancing)
matched groups design
uses matched random assignment
correlated groups designs
introduces a correlation between groups in the way groups are formed, more sensitive than independent groups designs
sequence effects sources
positive practice effects (PPE), negative practice effects (NPE), carryover effects
positive practice effects (PPE)
controls: control PPE with prior training
negative practice effects (NPE)
controls: control NPE with rest intervels
carryover effects
controls: control carryover effects by varying the order of conditions
within subjects strengths
more sensitive to small group differences, the variability due to individual differences is statistically eliminated, no group differences due to sampling error, selection cannot be present since groups are guarenteed to be equal, fewer participants are needed, each participant appears in each condition, instructions may take less time, participants were already instructed on the task in previous conditions
within subjects weaknesses
because participants experience all conditions they may figure out the hypothesis (potential subject effects), major issue is sequence effects, practice and carryover effects, controlled by varying the order of presentation(counterbalancing, random order of presentation, latin square design)
matched subjects designs
introduces correlation through matched random assignment, should match on relevant variables, variables that affect the dependent variable, variables that show considerable natural variation in the population sampled
matching participants
match participants in sets, set size is equal to the number of conditions, matching gets more difficult as: the number of matching variables increases, matching is done on the continuous variables, the number of conditions increase, once sets are matched randomly assign participants in the set to the conditions
strengths of matched subjects designs
increased sensitivity to group differences, no sequence effects
weaknesses of matched subjects designs
extra work of matching participants, participants without appropriate matches cannot be used in the study (attrition)
factorial designs
includes two or more independent variables, essentially two or more studies in one, by testing more than one independent variable at a time we can look at the interactive effects of independent variables, most independent variables in psychology interact with other independent variables
main effects
the effect of each of the independent variables on the dependent variable is the ___ of that variable
interactions
the combined effect of two or more independent variables on the dependent variable (ex. more than just a sum of the main effects) is an ____
we must always interpret when they are present
main effects in light of interaction effects
graphing factorial designs for two independent variables
select one independent variable and label the x axis with the levels of that variable, label the y axis with enough range to graph the mean scores of each cell, graph and label the means from the first level of the second independent variable and label that line, repeat that process for each level of the other independent variables labeling each line
evaluating main effects
looking at all the people tested under each level a factor A regardless of the level of factor B, doing the same for factor B
evaluating interactions
the interaction is best seen by graphing the results, the fact that the lines are not parallel suggests an interaction which is confirmed by the ANOVA
mixed designs
the independent variables do not have to be the same, ex. all within subjects or all between subjects, mixed in both senses as also possible
mixed (within subjects and between subjects)
the ANOVA must take this into account
mixed (manipulated and nonmanipulated)
will affect the interpretation
between groups variance is a function of
experimental effects and confounding variables
which of the following is not used in correlated groups designs?
random assignment to conditions
in a factorial design, the notion "2 x 3 x 2" tells us that the design has ___ independent variables
3
in experimental studies it is important to design experiments so that
experimental conditions are clearly different from each other
a serious weakness of the pretest posttest natural control group design is that
the two groups may be statistically different from each other at the start of the study
experimental variance (question)
is due to the effects of the independent variable
the systematic effects of uncontrolled confounding variables is termed
extraneous variance
F is a ratio of
between groups variation divided by within group variation
extraneous variation generally
reduced internal validity
the soloman four group design was developed in an attempt to
control possible interaction effects of the pretest and the manipulation
extraneous variance in a study
is unwanted
in choosing relevant variables for matching in a matched subjects design it is important to note that
available is relevant if it can have an effect on the dependent
an advantage of within subjects design is that
often there is a considerable savings of time since instructions do not have to be repeated
compared with within subjects design matched subjects designs
have no practice and carry over effects
which of the following is a potential confounding factor in within subjects design but not in a between subjects design?
sequence effects
matched subjects design (question)
are sensitive to small experimental differences just like within subjects design
in a repeated measures design the single largest contributing factor to error variance has been removed. what is that factor?
individual differences
which of the following statements is true?
any number of factors can be included but interpretation of interactions is more difficult as the number of factors increases
in a graph representing results in a factorial design, a line with a steep slope probably indicates
a main effect
what does an a x b interaction mean in a two way anova?
the effect of a was different depending on the level of b
factorial experiments (question)
include two or more independent variables
a 2 x 2 factorial design
results in a four-cell matrix
in graphing the results of a 2 x 2 factorial we can conclude that if the two lines are parallel then there is
no interaction between factor a and factor b
we have 2 factors in a study one is a between subjects factor and the other is a within subjects factor. The design is called a
mixed design
in a graph representing data from a factorial design parallel lines would indicate that
there is no interaction
factorial designs include (question)
two or more independent variables
By pretesting the two groups on the dependent variable in a randomized, pretest-posttest, control group design, we
test for initial equivalence on the dependent variable
in experiments we hope to find
between-groups variance
the two characteristics that distinguish experimental designs from nonexperimental designs are
control groups and randomization
in order to test the effects of the 1988 heat wave on worker productivity 48 machinists were randomly assigned to two groups of 24 machinists each. each group was tested at a different room temperature (cool and hot) using dependent measures of number of parts produced and accuracy. what type of design does this study represent?
a randomized posttest only control group design
the denominator of the f-test reflects
error variance
which of the following is an experimental design?
none of the others
the greater the extraneous and/or error variance
the more difficult it becomes to show the effects of experimental variance
which of the following does not increase error variance?
systematic effects of the independent variable
in within subjects designs each participant
serves as his or her own control
in a research study employing a within subjects design the researchers become concerned that the hypothesis might be discernible by participants because each participant sees all of the experimental conditions. in such a circumstance it would be best to use a
matched subjects design
the major disadvantage in using within subjects designs is the possible confounding factor of
sequence effects
the major advantage of within subjects designs over between subjects designs is
individual differences are eliminated
which of the following is not a characteristic of matched subjects designs?
each participant serves as his or her own control
by using a within subjects design we not only control but actually eliminate
the variance due to individual differences
in within subjects designs (question)
each participant serves as his or her own control
what are the two types of designs used to introduce the correlation in correlated groups designs?
within subjects designs and matched subjects designs
if two independent variables have an effect on each other in a factorial research design we are primarily concerned about their
interactive effect
in a 2 x 2 factorial design represented on a graph a main effect for factor b is indicated ( the x axis labeled with the levels of factor a) but no interaction is present. the graphed lines should be
parallel
what is usually the major contributor to error variance?
individual differences
a researcher can evaluate the effectiveness of the manipulations of the independent variable by including
a manipulation check
it is necessary to design and carry out experiments so that the experimental conditions
are clearly different from each other
A general but important rule in experimentation is that each study is designed so as to
maximize experimental variance, control extraneous variance and minimize error variance
in matched subjects designs the important variables to match on are
those related to performance on the dependent measures
the research design to use when strong carry over effects are thought to be likely is a
matched subjects design
negative practice effects (question)
decrease performance of participants
within subjects designs allow a researcher to test causal hypotheses with confidence and without
randomization
When we find an interaction and a main effect, all of the effects are interpreted in terms of the
interaction
what term refers to the situation in which two independent variables have an enhanced effect when they are in combination?
interaction
a four cell factorial matrix shows that the mean scores of all groups in all conditions are the same. this would indicate that there are
no main effects or interactions
research designs that include two or more independent variables are called
factorial designs
if two lines intersect on a graph of a 2 x 2 factorial we can conclude that
there is probably an interaction between a and b