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Bivariate Correlation
measure of association between exactly two variables. Ranges from -1.00 to 1.00
Positive Linear Correlation
When one variable increases, and so does another
Negative Linear Correlation
One variable increases and the other decreases
Effect Size
describes the strength of an association. Correlation coefficient is representative of it
Correlation Coefficient
a statistical measure of the strength and direction of a linear relationship between 2 variables. Also called Pearson’s r
Very small or weak effect size for r.
Answer in this format: .01 , .10 and so on. NOT like this: .05 (or -.05) only give the first number but recognize they both count positive and negative
.05
small or weak r effect size
Answer in this format: .01 , .10 and so on. NOT like this: .05 (or -.05) only give the first number but recognize they both count positive and negative
.10
Moderate r effect size
Answer in this format: .01 , .10 and so on. NOT like this: .05 (or -.05) only give the first number but recognize they both count positive and negative
.20
fairly powerful effect of r
Answer in this format: .01 , .10 and so on. NOT like this: .05 (or -.05) only give the first number but recognize they both count positive and negative
.30
Unusually large in psychology - VERY powerful or too good to be true. Can be greater than the answer, but that is the lower limit
Answer in this format: .01 , .10 and so on. NOT like this: .05 (or -.05) only give the first number but recognize they both count positive and negative
.40
Ideal minimum r value for good reliability in reliability studies
.80
Factors influencing the magnitude of a correlation
Outliers, restriction of range, curvilinear relationships
Outlier
An extreme score that may not belong with the other data due to sampling issues or errors. Reduces the size of the real correlation
Restriction of Range
limits the magnitude of the correlation by having a range of scores that is more narrow than that within the populatio
Curvilinear relationships
A non-linear relationship between two variables.
Requirements to demonstrate causation
Covariation, temporal precedence, no alternate explanations (internal validity). Correlational studies do not meet these requirements
Covariation
the extent to which one variable moves in tandem with another
Temporal Precedence
the cause must occur before the associated effect
Linear Regression
choosing the best fitting line to describe the relationship between two variables
principle of least squares
a prediction line that minimizes the total squared difference between observed values and predicted values
Predictor Variable
Independent variable within a linear regression. It is displayed on the X axis
Criterion Variable
dependent variable within a linear regression that is displayed on the Y axis
Construct Validity
How well each variable is measure
Statistical Validity
How well the data supports the conclusion
Internal Validity
Can a causal inference be made from an association
External Validity
can the results be generalized to the whole population being studied?
Moderator
a variable that affects the strength or direction between the independent and dependent variables