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.
Language | |||
Spanish | French | German | |
System 1 | 9 | 10 | 11 |
13 | 14 | 15 | |
System 2 | 8 | 14 | 19 |
12 | 16 | 25 |
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
Factor A | |||||
Factor B | |||||
Interaction | |||||
Error | |||||
Total |
For the given data using Anova two factor with replication in Excel we get output as
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Sample | 40.33333 | 1 | 40.33333 | 4.653846 | 0.074356 | 5.987378 |
Columns | 98.66667 | 2 | 49.33333 | 5.692308 | 0.041111 | 5.143253 |
Interaction | 50.66667 | 2 | 25.33333 | 2.923077 | 0.129934 | 5.143253 |
Within | 52 | 6 | 8.666667 | |||
Total | 241.6667 | 11 |
From the above output
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