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

Question

13.1. The following output was obtained from a computer program that per- formed a two-lactor ANOVA ona factorial experiment. ent Manual ompre nnotated Source to the beredd included B swers to Exereises SS DF MS F P ().322I 80.554 40.277 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 -vlucs. (b) How many levels were used for factor I'? (c) How many replicates of te experiment were performed? (d) What conlusios would you draw about this experiment?

Explanation / Answer

a) please find filled ANOVA table:

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

c) replicates =(total df)/((df for A+1)*(df for B))=(17+1)/((1+1)*(2+1))=18/(2*3) =3

d) from above as p value for factor B is significant therefore we can conclude that there is at least level in factor B whose mean is different from other means of other level of B

Source SS df MS F P A 0.322 1 0.322 0.036 0.8534 B 80.554 2 40.277 4.462 0.0356 interaction 42.348 2 21.174 2.346 0.1381 Error 108.327 12 9.027 ttoal 231.551 17

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