## Quantitative Multiple Regression Analysis

##### Created by:

thomasrcusack  on May 18, 2012

Pop out
No Messages

# Quantitative Multiple Regression Analysis

 HypothesisResearch Question: For a study that includes A and B as 2 predictors of C: For the groups are the attributes of A and B predictive as an aggregate profile of C? Hypothesis: Treatment has no Impact or Treatment has an Impact
1/14

Order by

#### Definitions

Hypothesis Research Question:
For a study that includes A and B as 2 predictors of C:
For the groups are the attributes of A and B predictive as an aggregate profile of C? Hypothesis:
Treatment has no Impact or Treatment has an Impact
Model Yij=βo+β1X1+β2X2+εij
Yij= Int+(A)x1+(B)x2+Error
Level of Significance/ Risk For this study the level of risk will be set at 0.05 (α=0.05). This will minimize the probability of committing a type I error.
Test Statistic The test statistic that will be employed for this study is multiple regression. This will allow us to compare the relationship between the continuous dependent variable (A) and the n different continuous variables (B, C,...)
Variables DV-criterion (continuous) and
multiple IV's -predictors (continuous or if categorical they have been dummy coded)
Test Assumptions *Homoscedasticity
*Normal distribution (for each variable, the error variances, and the residuals)
*No Specification errors
*No Multicollinearity
*Linear relationship
Descriptive Statistics Measures of Center
Number of Observations
Mean Differences for each group
Test Statistic ComputedCorrelation matrix describes the relationship of each variable to each other variable in the model
R (Pearson) is reported for each var
Sig of each var
N's for each var
Model Summary indicates R, adj R2 (coefficient of determination - proportion of variance for the DV that is described by IV's (predictors) as a percent)
ANOVA table
Coefficient Table - tells that if all other vars were held constant, the predicted Y value would be higher or lower by the reported number of units
Critical Value...