1. Popcorn!!!

2. Data Set Popcorn Oil amt. Batch Yield plain little large 8.2 gourmet little large 8.6 plain lots large 10.4 gourmet lots large 9.2 plain little small 9.9 gourmet little small 12.1 plain lots small 10.6 gourmet lots small 18.0 plain little large 8.8 gourmet little large 8.2 plain lots large 8.8 gourmet lots large 9.8 plain little small 10.1 gourmet little small 15.9 plain lots small 7.4 gourmet lots small 16.0

3. Popcorn Example Layout

4. ANOVA Table Source DF Sum of Squares F Ratio Prob > F popcorn134.81 17.31 0.0032* oil amt14.41 2.19 0.1768 batch 149.00 24.37 0.0011* batch *popcorn 137.21 18.51 0.0026* batch *oil amt 10.01 0.0050 0.9455 popcorn*oil amt 14.00 1.9900 0.1960 popcorn*oil amt*batch 14.00 1.9900 0.1960

5. Popcorn Type LevelLeast Sq Mean Std Error Mean gourmet 12.22 0.5012 12.2250 plain 9.2750000.5012 9.2750

6. Batch Size LevelLeast Sq Mean Std Error Mean large9.0000000.501248449.0000 small12.5000000.5012484412.5000

7. Popcorn*Batch Interaction Plot

8. How to Test Interaction Means Recode Popcorn*Batch as Trt, i.e. Trt=1 is Plain, Small Trt=2 is Plain, Large Trt=3 is Gourmet, Small Trt=4 is Gourmet, Large

9. New ANOVA Table SourceDFSS F Ratio Prob > F Trt 3121.0200020.06970.0004* oil amt 14.410002.19400.1768 Trt*oil amt 38.010001.32840.3314

10. Plot of Means with SD

11. Tukey Test of Interaction Means LevelLeast Sq Mean 3A 15.500000 1 B9.500000 2 B9.050000 4 B8.950000 Levels not connected by same letter are significantly different.

13. Plot of Residuals

14. Normal Plot of Residuals

15. Test of Normality Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.976987 0.9352 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.

16. Box-Cox Plot