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Empirical science
Science based in numerically represented observations of our five senses
construct
provides a definition of what is to be observed before data collection
Operationalization
how a construct is to be observed and numerically recorded
statistic
numeric summary of numerically recorded observations
Variable
event/object/attribute where numeric observations show variation
covariation
the variation of one thing is shown to be related to the variation of another thing
Simple covariation
Absence of specified order in covariation (use non-experimental designs)
Ordered covariation
Demonstrates an independent/dependent variable relationship (aka causality, use experimental design)
Data
numerically recorded observation
Hypothesis
A formal and public statement/declaration about what a researcher things is true
Knowledge claim
based on observations consistent with hypothesis
causality
for every cause, there is an effect, and for every effect, there is a cause
Population
unspecified N# of individuals for which we have numeric observations, numeric summaries only exist in theory
sample
participants drawn from a population
Descriptive statistic
Used to describe a sample
Inferential statistics
Use numeric observations about the sample to make inferences about the population from which the sample was drawn
skewness
in reference to a frequency distribution, when the line departs from what is bell shaped
Standard deviation
indicates average variation of scores from the mean
case study
non-experimental design where n=1, used when permission is difficult to obtain
trial
indicates in advance where and when data are going to be collected
Naturalistic observation
record observations in real-word (natural) settings (can include non-humans)
Experimental designs
designs in which the independent variable is manipulated in order to identify causal relationships
control group
group of participants not exposed to IVxperime
experimental (treatment) group
group of participants exposed to IV
4-group experimental design
use of two control groups and two experimental groups
skepticism
suggestion of doubt about a knowledge claim
Threat to validity
Is the design of the study (the basis of the claim) sufficiently valid for providing an empirical basis for the knowledge claim?
To address internal validity threats…
…build better study design that addresses the something else
Internal validity questions
Is the variation in the DV due to the IV, or due to something else (must be identified)?
External validity question
Does the IV-DV relationship as observed in the study generalize beyond the study (to other settings, sample, points in time)?
To address external validity threats…
…build a better study design that addresses the other areas
Measurement
measure/scale/test used to assign numbers to observations (how we operationalize)
Reliability of a measure
scores yielded by the scale (measure/test) show consistency over time, scaling formats, or with respect to the responses to items that comprise the scale
Validity of a measure
scores yielded by the scale (measure/test) provide a correct representation of the low-high variation of the variable of interest (do they do what we say they do)
1, 2, 3 of person’s correlation
Departure from zero indicates (1) - the presence of covariation (2) direction of covariation and (3) how much covariation
Test-retest design
data collected at two points in time to examine the consistency of scores (covariation at two time points indicates consistency)
Equivalent-forms design
data collected from multiple scaling formats to examine the consistency of scores (covariation across two scaling formats indicates consistency)
consistency can be indicated by
covariation
Internal consistency design
Answers to each item should correlate as highly as possible with every other item (as seen using the average of r across all items)
Predictive Criterion-related design (validity of measure)
Couples two hypotheses. One states simple covariation between the variable of interest (predictor) and a second variable (criterion), and the other predicts that the variable of interest predicts the second. Demonstrates a predictor-criterion relationship.
Convergent-discriminant validity design (of a measure)
Tests the variable of interest in relation to two other variables: one that goes with it/is related to (convergent) and one that doesn’t go with it/is not related to (discriminant)
Correlation is derived from…
covariance
Covariance can indicate _____ and ______, but not ______.
Presence of covariation, direction of covariation, how much covariation
linear
in reference to a straight line
best fitting line
a straight line closer to all points than any other straight line
r = undefined, indeterminate
when there is variation in one variable but not the other, so covariation cannot be indicated
Statistical rule of life about interpreting r
plot the data before interpreting (is there an absence of covariation or the absence of linear covariation?)
when r=.00, there are two possibilities:
non-linear covariation or no covariation
slope is…
the departure from the absence of slope (positively or negatively)
r2
indicates the proportion of variation in X that has been observed in relation to the variation of Y(how much of the variation in the data is explained by this relationship)
Venn Diagram
Each Venn indicates the proportion of variation of the variable. Overlap indicates the amount of shared variation (variation explained by this relationship)
Based on an r value, one cannot tell…
the order of covariation (causality)
Problems of range restriction/selection effect/small sample
creates an artifact through a limited range of variation (fix through larger sample)
When your expected r vales doesn’t match your observed, you’re not an idiot. You should…
Check and see if the scatterplot suggests an artifact of range restriction/selection effect/a small sample