In an automated chemical coating process, the speed with which objects on a conv

Question

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

Explanation / Answer

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

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