{Exercise 13.43 (Algorithmic)} A factorial experiment was designed to test for a

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{Exercise 13.43 (Algorithmic)}

A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.

The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10

What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significant

The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10

What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significant

The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10

What is your conclusion with respect to the interaction of Factors A and B?
SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significant

{Exercise 13.43 (Algorithmic)}

Language Spanish French German System 1 6 11 12 10 15 16 System 2 5 14 14 9 16 20

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.

Complete the following ANOVA table (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A Factor B Interaction Error Total

Explanation / Answer

From Excel

Case1: FactorA

Since P value =0.4626 >0.05

Hence Fcator A is not significant

Case2: FactorB

Since P value =0.018 <0.05

Hence Fcator B is significant.

Case3: Interaction of A and B

Since P value =0.6297 >0.05

Hence Interaction of A and B is not significant

Anova: Two-Factor With Replication SUMMARY Spanish French German Total System 1 Count 2 2 2 6 Sum 16 26 28 70 Average 8 13 14 11.66667 Variance 8 8 8 13.06667 System 2 Count 2 2 2 6 Sum 14 30 34 78 Average 7 15 17 13 Variance 8 2 18 28 Total Count 4 4 4 Sum 30 56 62 Average 7.5 14 15.5 Variance 5.666667 4.666667 11.66667 ANOVA Source of Variation SS df MS F P-value F crit Sample 5.333333 1 5.333333 0.615385 0.462605 5.987378 Columns 144.6667 2 72.33333 8.346154 0.018485 5.143253 Interaction 8.666667 2 4.333333 0.5 0.629738 5.143253 Within 52 6 8.666667 Total 210.6667 11

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{Exercise 13.43 (Algorithmic)} A factorial experiment was designed to test for a

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{Exercise 13.43 (Algorithmic)} A factorial experiment was designed to test for a

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