stats 9 Flashcards
Multivariate regression
a regression model with more than 2 variables, which allows researchers to control for the impact of potentially confounding variables on the dependent variable when examining the relationship between an independent variable of interest and a dependent variable
population regression model
a theoretical formulation of the proposed linear relationship between at least one independent variable and a dependent variable
the population regression model specifies
the relationship we theorize to exist between our variables in the real world
The beta coefficients in multiple regression fit a
hyperplane to the data
In three dimensions (with 2 ind and 1 dependent), a multivariate regression fits a
plane
in higher dimensions (with more than two independent variables and a dependent variable), a multivariate regression fits a
hyperplane that exists in that multi-dimensionsal space
Multiple regression only controls for the
variables that are measured and included in the equation
MR uses statistical controls which are not as effective as
isolating the effects of X on Y as experimental controls
you cannot compare beta coefficients from a regression table because they are
unstandardized
Unstandardized coefficients:
regression coefficients such that the rise-over-run interpretation is expressed in the original metrics of each variable
Substantive significance
a judgment call about whether or not statistically significant relationships are “large” or “small” in terms of their real-world impact.
multivariate regression requires one more assumption
No perfect multicollinearity – there can be no exact linear relationship between two or more of the independent variables in the model