1. STA 282 Introduction to Statistics
Recapping
ANOVA and Regression
18-Sep-18

2. Recapping ANOVA Comparing Models
Simple: Compare a BEFORE and AFTER Model
Could use t-Test or ANOVA. We used ANOVA for practice.
Multiple: Compare 3 or more models
ANOVA must be used.
18-Sep-18

3. Recapping ANOVA State the Null Hypothesis
There is NO significant difference between models.
Interpreting ANOVA Statistics
F-Value to F-Critical
If F-Value > F-Critical, then REJECT Null Hypothesis
If F-Value <= F-Critical, then FAIL to REJECT Null Hypothesis
18-Sep-18

4. Recapping Regression Regression Analysis
Simple: One Dependent & one Independent Variable
Multiple: One Dependent & 2 or more Independent Variables
18-Sep-18

5. Recapping Regression State the Null Hypothesis
There is NO significant relationship between variables.
Interpreting Regression Statistics:
ANOVA’s Significance-F:
If Sig-F <= 0.05, then REJECT Null Hypothesis
If Sig-F > 0.05, then FAIL to REJECT Null Hypothesis
ANOVA’s F-value and F-critical:
If F > F-critical, then REJECT Null Hypothesis
If F <= F-critical, then FAIL to REJECT Null Hypothesis
18-Sep-18

6. Say It Again, Sam Restating the Null Hypothesis t-Test and ANOVA
Generalized: “There is NO significant difference between models.”
Specific: “There is NO significant difference between the BEFORE and the AFTER Models.”
18-Sep-18

7. Say It Again, Sam Restating the Null Hypothesis Regression Analysis
Generalized: “There is NO significant relationship between variables.”
Specific: “There is NO significant relationship between girls’ attitudes and boys’ attitudes about shopping.”
18-Sep-18

8. How is it said? Interpreting the Statistics: t-Test and ANOVA
“Because we REJECT the Null Hypothesis, we conclude that these is a significant difference between models.”
“Because we FAIL to REJECT the Null Hypothesis, we conclude that there is no significant difference between models.”
18-Sep-18

9. How is it said? Interpreting the Statistics: Regression Analysis
“Because we REJECT the Null Hypothesis, we conclude that these is a significant relationship between variables.”
“Because we FAIL to REJECT the Null Hypothesis, we conclude that there is no significant relationship between variables.”
18-Sep-18

10. More About Regression A Tool For Prediction
The Regression Equation (derived from the Dependent Variable and Coefficients Table) can be used to calculate Dependent-Variable values that do not appear in the input-data table:
If GPA = *SAT, then all possible SAT values would predict a corresponding GPA value.
18-Sep-18

11. More About Regression A Tool For Prediction
Regression Analysis is the basis of a Forecasting Technique to predict future values based on historical data.
Forecasting is simple regression analysis where the single Independent variable is TIME and a single Dependent variable.
18-Sep-18

12. STA 282 Introduction to Statistics
Recapping
ANOVA and Regression
18-Sep-18