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  = .05.

Complete the following ANOVA table (to 2 decimals, if necessary).

Spanish French German System 1 10 12 11 14 16 15 System 2 8 17 19 12 19 25

Explanation / Answer

We use excel to complete the table

Anova: Two-Factor With Replication

We use excel to complete the table

Anova: Two-Factor With Replication

SUMMARY Total Count 2 2 2 6 Sum 26 27 26 79 Average 13 13.5 13 13.16667 Variance 18 4.5 0 4.566667 Count 2 2 2 6 Sum 26 36 44 106 Average 13 18 22 17.66667 Variance 2 2 18 20.66667 Total Count 4 4 4 Sum 52 63 70 Average 13 15.75 17.5 Variance 6.666667 8.916667 33 ANOVA Source of Variation SS df MS F P-value F crit Sample 60.75 1 60.75 8.191011 0.028727 5.987378 Columns 41.16667 2 20.58333 2.775281 0.140167 5.143253 Interaction 40.5 2 20.25 2.730337 0.143491 5.143253 Within 44.5 6 7.416667 Total 186.9167 11

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