In an automated chemical coating process the speed with whic

In an automated chemical coating process, the speed with which objects on a conveyor belt are passed through a chemical spray (belt speed), the amount of chemical sprayed (spray volume), and the brand of chemical used (brand) are factors that may affect the uniformity of the coating applied. A replicated 23 experiment was conducted in an effort to increase the coating uniformity. In the following table, higher values of the response variable are associated with higher surface uniformity:

Create an ANOVA table for this experiment using alpha = 0.05

Which null hypotheses should be rejected?

Surface
Uniformity
Run Spray
Volume
Belt
Speed
Brand Replication
1
Replication
2
1 - - - 39 38
2 + - - 25 29
3 - + - 30 31
4 + + - 50 48
5 - - + 45 41
6 + - + 25 30
7 - + + 30 29
8 + + + 51 48

Solution

Since, for all effects, F > F0

So, all effects are significant

Run Spray Belt Brand Replication Replication
Volume Speed 1 2 Total
1 - - - 39 38 (1) = 77
2 + - - 25 29 a = 54
3 - + - 30 31 b = 61
4 + + - 50 48 ab = 98
5 - - + 45 41 c = 54
6 + - + 25 30 ac = 55
7 - + + 30 29 bc = 59
8 + + + 51 48 abc = 99
In an automated chemical coating process, the speed with which objects on a conveyor belt are passed through a chemical spray (belt speed), the amount of chemic

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