Transcript Sept. 23 HW - Purdue University

Fixed effects analysis in a Two–way ANOVA
Problem 5.6 ANOVA
Effect Tests
Source
DF
Sum of Squares
F Ratio Prob > F
8.8421 0.0044*
Phos. Type
2
933.33
Glass Type
1
14450.0
Phos. Type*Glass Type
2 133.333
273.78
<.0001*
1.2632 0.3178
Interaction Plot
Phosphorous Type
Tukey HSD
Level
Mean
2A
1
B
3
B
Least Sq
273.33333
260.00000
256.66667
Levels not connected by same letter are significantly
different.
Glass Effect Plot
Residuals and Normality Plot
Residuals by Predicted
Problem 5.10
Source
DF Sum of Squares
Glass Type 2 150864.5
Temp.
2 1970334.5
Glass *Temp. 4 290551.7
F Ratio
206.3706
2695.259
198.7257
Prob > F
<.0001*
<.0001*
<.0001*
Interaction Plot
Now this is slick!!!!!!!!
Level
1,150
2,150
1,125
3,125
2,125
3,150
3,100
1,100
2,100
Least Sq Mean
A
B
C
C
C
D
E
E
E
Levels not connected by same letter are significantly different.
1386.0000
1313.0000
1087.3333
1054.6667
1035.0000
886.6667
573.3333
572.6667
553.0000
Residuals by Predicted
Residual Plot and Normality Plot
Normality test
Shapiro-Wilk W Test
W
0.966954
Prob<W
0.5237
Note: Ho = The data is from the Normal distribution.
Small p-values reject Ho.