Parametric Stats Tests
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What are our goals in analysing data from continuous quantitative variables?
 To construct an equation for predicting the DV from values of the IV
 To describe the strength of the relationship between variables
 The general term for this is regression analysis

What are analyses focusing solely on the strength of relationship known as?
 Correlational analyses
 These often make no distinction between predictor and response variables

What are the individual distributions of the IV known as?
 Conditional distributions
 Conditional distributions are distributions of the response variable conditional on a specified value of the predictor variable

What is the overall distribution of the DV known as?
The marginal distribution

What is the population regression line?
The straight line upon which the population means lie

What is the equation for the population regression line?
The mean population of Y values for a given value of X = (the intercept of the population regression line + the slope of the population regression line) x the value of X

What are the values of the intercept and slope of the regression line?
 Population values that are needed to uniquely specify a straight line function
 The intercept value specifies how far up the Y axis the line is
 The slope value (regression coefficient) specifies how steep the line is

What does the slope of population line reflect?
The rate at which values on the Y axis are changing from one unit change in the X axis

What must we do when modelling sample data?
The slope and intercept values that provide the 'best fit' for data must be found

What is the basic equation for sample data
Score = model fit + residual

What is a best fitting line?
One which minimises the sum of squares of residuals

What is the residual?
 The vertical line between data and regression line
 Observationpredicted value

What is the equation for the least squares estimate of the slope of the regression line?
Sum of products over sum of squares

What is covariance?
The sum of products divided by the degrees of freedom

What does variance reveal?
The similarity of the structure of the expressions of variance and covariance

What points do regression lines always pass through?
The means of the X and Y values