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Mills' criteria (covariance)
two variables move together in some predictable way (they co-vary)
Mills' criteria (temporal precedence)
the independent variable must come first in time before the outcome variable
Mills' criteria (ruling out alternatives)
researchers must rule out alternative explanations so a third variable is not the reason why the dependent variable is changing
Selection effect
unequal groups to begin with because of differences in participant variables; avoided with random assignment and selection
Maturation effect
changes due to time spent in the experiment (duration or time of day) that differ between groups; happens inside the lab
Testing effect
changes due to measuring the outcome variable more than once such as practice or expectations; avoided by giving both groups the same learning and test experience
Mortality effect (attrition)
differences between groups because some people drop out of the study; asymmetrical attrition is a confounding variable
History effect
changes due to something in the external world (e.g., holidays, disasters) that affects one group more than the other; happens outside the lab
Confounding variable
a variable that affects one group differently than another and provides an alternative explanation for changes in the dependent variable
Extraneous variable
a variable not related to the treatment that influences both groups equally and acts like noise or error
Between-groups design
each participant experiences only one level of the independent variable and different groups are compared
Within-groups design
each participant experiences all levels of the independent variable and acts as their own control
Posttest-only design
participants are exposed to one level of the independent variable and measured only once after the experiment
Pretest-posttest design
participants are measured before and after the independent variable to compare baseline and post-treatment scores
Counterbalancing
randomly varying the order of levels of the independent variable across participants to avoid order effects as a confound
How to decide: between-groups
use when participating in one condition makes the other impossible, when there is a lasting effect of the independent variable, or when participants should not know the research design
How to decide: within-groups
use when you want to reduce individual differences and compare each participant to their own performance to detect small changes
Single-factor design
an experimental design with one independent variable that has multiple levels and one dependent variable
Multifactor (factorial) design
an experimental design with more than one predictor or independent variable that examines their separate and combined effects on the outcome
Main effect
the overall effect of one predictor variable on the outcome variable, ignoring the other predictor(s)
Interaction effect
when the effect of one predictor variable on the outcome depends on the level of another predictor variable; lines are not parallel
Additive effect
when the effects of predictor variables add or subtract in a linear way and the effect of each does not depend on the level of the other; lines look roughly parallel
No effect (null result)
when the independent variable does not affect the dependent variable or differences are obscured by ineffective manipulation or too much within-group variability
Statistical validity (general)
how well the numbers support the claim, including strength of effect, precision of estimates, and replication
Evaluating statistical validity (real relationship)
asking whether researchers have identified a real relationship and how strong the relationship is
Evaluating statistical validity (inferences)
asking whether appropriate inferences or conclusions were made from the data
Descriptive statistics
statistics used to summarize and describe data such as frequencies, measures of central tendency, and dispersion
Inferential statistics
statistics used to make inferences from a sample to a population and to test hypotheses (implied by using the descriptive vs. inferential distinction)
Measures of central tendency
statistics that describe a representative outcome for the sample (mean, median, mode)
Mean
the average score, used when data are normally distributed
Median
the middle score, used when the distribution is skewed or has outliers
Mode
the most common score in a distribution
Standard deviation
how spread out scores are from the mean and how far they are on average from the mean
Measures of dispersion
statistics that describe how spread out scores are, such as standard deviation and the spread of the distribution
Outliers
scores that are far from most other scores and can make a distribution skewed
Skewed distribution
a distribution where data have outliers on one end so the tails are not symmetrical and mean, median, and mode are separated
Standardized scores
general term for scores that have been converted to a common scale (like z-scores) to compare across different scales
z-score
a standardized score where 0 is the mean, positive values are above the mean, and negative values are below the mean, expressed in standard deviations
Converting to z-scores
subtract the mean from the raw score and then divide by the standard deviation to get how many standard deviations the raw score is from the mean