13.1. The following output was obtained from a computer program that per- lormed

Question

13.1. The following output was obtained from a computer program that per- lormed a two-lactor ANOVA on a ent Manual ompre nnotated Source to the bered factorial experiment SS DF MS F P ().322I included B 80.554 40.2771 swers to Exereises the Interaction Error 108.32712 231.551 17 his book. Total (a) Fill in the blanks in the ANOVA table. You can use bounds on the P-values. (b) How many levels were used for factor B? (c) How many replicates of the experiment were performed? (d) What conlusions would you draw abou is experiment?

Explanation / Answer

a)from above data below is the table:

b) number of levels for factor B =2+1 =3

c)number of replicates =3

d)

for p value for factor B is less then 0.05 ; we can conclude that there is a difference in means due to factor B

for p value for factor A and interaction is greater then 0.05 ; we can not conclude that there is any effect due to factor A or interaction between A and B.

source SS df MS F P A 0.322 1 0.3220 0.0357 0.8534 B 80.554 2 40.2771 4.4617 0.0356 interaction 42.348 2 21.1740 2.3456 0.1381 Error 108.327 12 9.0273 total 231.551 17

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