A mail-order catalog firm designed a factorial experiment to test the effect of

Question

A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different size advertisements were considered. The data obtained follow Size of Advertisement Small Large 10 14 26 28 Design 12 10 18 18 18 Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction. Use = 0.05. Assume that Factor A is advertising design and Factor B is size of advertisement Mean Square p-value Source Sum of Squares Degrees 0 Variation Factor A Factor B Interaction Error Total of(to whole number) (to 2 decimals) (to 4 decimals) Freedom (to whole number) The p-value for Factor A is 1-Select your answer- What is your conclusion with respect to Factor A? - Select your answer- The p-value for Factor B is 1-Select your answer- What is your conclusion with respect to Factor B? - Select your answer- The p-value for the interaction of factors A and B is 1-Select your answer- What is your conclusion with respect to the interaction of Factors A and B? - Select your answer-

Explanation / Answer

p-value for factor A is 0.0186 < 0.05

hence it is significant

p-value for factor B is 0.1471 > 0.05

hence it is not significant

p-value for interaction of factor A and B is 0.2063 > 0.05

hence it is not significant

Please rate

Anova: Two-Factor With Replication SUMMARY small large Total A Count 2 2 4 Sum 22 18 40 Average 11 9 10 Variance 18 2 8 B Count 2 2 4 Sum 34 54 88 Average 17 27 22 Variance 50 2 50.666667 C Count 2 2 4 Sum 28 36 64 Average 14 18 16 Variance 32 0 16 Total Count 6 6 Sum 84 108 Average 14 18 Variance 27.2 65.6 ANOVA Source of Variation SS df MS F P-value F crit factor A 288 2 144 8.307692308 0.018674192 5.14325285 Factor B 48 1 48 2.769230769 0.147149111 5.987377607 Interaction 72 2 36 2.076923077 0.206329827 5.14325285 Within 104 6 17.333333 Total 512 11

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