af/servlet/que?cbesblune-00348quiz action-takeQuizquiz probGuid-ONAPCOAB01010000
ID: 3151629 • Letter: A
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af/servlet/que?cbesblune-00348quiz action-takeQuizquiz probGuid-ONAPCOAB01010000002e9081300a00008ick 3 1459821252295 DAAA69000152830D7CC491C5000 Attempts: Average: 18 7. Factorial experiment Permission-based e-mail marketing is the tactic of marketing one's products and services through e-mail but with the recipient's permission. This is in contrast to spamming, which is done without regard for the recipient's wishes. An industry expert offered the following advice to permission-based e-mail marketers: "The first key is to make your efforts more subscriber-centric and permission verified. .. The second key is to test, test, test. E-mail is so cost-effective, measurable, and immediate, that it is the perfect medium to improve through testing." [Source: Keyes, Whitney M. "Exact Target Shares Tip on E-Mail Marketing. Seattle Post-Intelligencer, June 25, 2008.] Heeding this advice, an e-mail marketer conducted a factorial experiment to test the effectiveness of two factors in generating sales. The first factor, called Factor A, consists of three different subject lines for the e-mail message. The second factor, called Factor B, is whether the e-mail message includes an Amazon.com voucher that the recipient can redeem if a purchase is made. The experimental units are batches of 20,000 e-mail addresses obtained from the marketer's database. E-mail messages, adjusted according to the factor levels, are sent to all the addresses in each batch, and the total sales amount for each batch is recorded as a measure of response. The results of the study are summarized by the corresponding sample means in the table that follows. All figures are in dollars.Explanation / Answer
The number of observations is 60
Total sales amount for the units assigned with subject line 3 and no vocher is 143.10
Average sales amount of the units assigned with subject line 3 is 137.50
Average sales amount of the units assigned with no vocher is 147.93
Overall sample mean response of the experiment is (172.43+147.93)/2 = 160.115
Anova Table
The df of Factor A = no. of rows - 1 = 3-1=2
The df of Factor B = no. of columns -1 = 2 -1 =1
The df of interaction A and B is = (no. of treatments -1 ) - dfA - DfB
= (6-1)-2-1 = 2
The df of Error = 59 - 2 - 1 - 2 = 52
Sum of square of Factor A = 16445.2/2 = 32890.2
Sum of square of Factor B = 9003.9/1 = 9003.9
Mean sum of square of Error = 245786.84/54 = 4551.60814
interaction F= 11776.6/4551.60814 = 2.587
Blanks:
Sum of square of Factor A = 16445.2/2 = 32890.2
Sum of square of Factor B = 9003.9/1 = 9003.9
Error sum of square = 245786.84
The df of all sum of square = 59
Mean sum of square of Factor A = 16445.2
Mean sum of square of Factor B = 9003.9
Mean sum of square of Factor A * B = 11776.6
Mean sum of square of Error = 4551.60814
Last Page:
Factor A : No significant since p value ( 0.0109) < alpha 0.05
Factor B: Significantsince p value (0.1064) > alpha (0.05)
Interaction A*B: No Signifiacantsince p value (0.0109 ) > alpha (0.05)
Surce of variation Sum of Squares Df Mean sum of square F Factor A 32890.4 2 16445.2 4.924 Factor B 9003.9 1 9003.9 2.696 Interaction 23553.2 2 11776.6 2.587 Error 245786.84 54 4551.608148 Total 311234.34 59Related Questions
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