A factorial experiment was designed to test for any significant differences in t

Question

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 alpha = 05. a. Complete the following ANOVA table (to 2 decimals, if necessary).

Explanation / Answer

from above: applying two way ANOVA with replication:

SUMMARY spanish French German Total system 1 Count 2 2 2 6 Sum 22 26 32 80 Average 11 13 16 13.33333 Variance 8 8 8 9.866667 system 2 Count 2 2 2 6 Sum 16 28 34 78 Average 8 14 17 13 Variance 8 2 18 22.4 Total Count 4 4 4 Sum 38 54 66 Average 9.5 13.5 16.5 Variance 8.333333 3.666667 9 ANOVA Source of Variation SS df MS F Factor A 0.333333 1 0.333333 0.038462 Factor B 98.66667 2 49.33333 5.692308 Interaction 10.66667 2 5.333333 0.615385 Error 52 6 8.666667 Total 161.6667 11

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