7/30/2019 Design and Analysis of Experiments HW#7

1/7

Individual Homework #7

Design and Analysis of Experiments

3.12

There is evidence that dosage level affect bioactivity. Anova

analysis reveals significant differences with a p-value of

0.0144. Therefore it is appropriate to proceed with the

comparison between means to reveal the differences between

dosages that are significant.

b)

7/30/2019 Design and Analysis of Experiments HW#7

2/7

Comparison of means without adjustment

Comparison of means with tukey adjustment

Comparison of means using the tukey method revels that

comparison dosages 20 and 40g are significantly different but

not the rest of comparisons.

7/30/2019 Design and Analysis of Experiments HW#7

3/7

3.16

Anova table reveals that firing temperature does not affect the

density of the bricks. P-value>0.05

b) Although no significance difference is reveal by the anova

table it is worthwhile to proceed with a LSD analysis because

means (difference) can be different and not being detected in

the anova table.

b) LSD analysis

7/30/2019 Design and Analysis of Experiments HW#7

4/7

c)

Residuals are normally distributed as normal qq plot shows. Residuals

vs fitter plot shows that residuals have constant variance as well. So

assumptions normality and constant variance are met.

d)

Yes, it does. The difference between 100 and 125 is out of normal

distribution with a mean centered at 21.66

7/30/2019 Design and Analysis of Experiments HW#7

5/7

3.17

3.18

7/30/2019 Design and Analysis of Experiments HW#7

6/7

a) ANOVA table reveals that there is significant difference in

conductivity due to coating type.

b)

Overall mean = 137.94

c) By hand

e)

Coating 1 produces the highest conductivity.

7/30/2019 Design and Analysis of Experiments HW#7

7/7

f) Keep using coating type 4 because it produces the lowest

conductivity. (129.25)