Bivariate Correlation, Regression and ANCOVA Flashcards
What are the features of experimental research?
- Determines causation through manipulation of IVs
- Random assignment
What are the features of correlational research?
- Measures level of association of IVs with the DV
- Cannot determine causation
What is covariance?
A scale dependant measure of the relationship between IVs and DVs
What is correlation?
Standardised covariance; it expresses the relationship between two variables in terms of their standard deviations
What are different names given to correlation?
r, Pearson correlation, bivariate correlation, zero-order correlation
What is the difference between covariance and correlation?
Covariance is scale-dependant and cannot be directly compared to other covariances. Correlation is standardised and can be
What is the coefficient of determination?
The proportion of the in one variable that is explained by the variance in another (r2)
What is error/residual variance?
The proportion of variance that is not accounted for by the other variable (1 - r2)
What is r as a population estimate?
radj is the population correlation coefficient
What is the difference between r and radj
radj is smaller and more conservative than r, but the difference decreases as sample size increases
What is bivariate correlation?
Estimating a score on one variable on the basis of scores on the other variable
Regress DV on IVs
What is the standardised regression slope?
β: standard deviation change in Y expected from a one standard deviation change in X
What is the difference between b and β?
β is standardised and can be compared to other standardised regression slopes
What is the standard error of the estimate?
Sx.y: the amount of variability around the slope
Actual scores compared to Yhat
What does the standard error of the estimate tell us?
The units between which 68% of individuals will score from the regression line (Yhat)