A factorial experiment was designed to test for any significant differences in t
ID: 2960427 • Letter: A
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.Language
Spanish French German
System 1 8 10 12
12 14 16
System 2 6 14 16
10 16 22
Test for any significant differences due to language translator, type of language, and interaction. Use a=.05
Explanation / Answer
I am not sure about your data, I assume each 2 data for one type of language. And, I assume that all factors are fixed.
Here is the data table, number 1 means system 1, number 2 means system 2, language 1 to 3 denotes three languages.
Row data number language
1 8 1 1
2 10 1 1
3 12 1 2
4 12 1 2
5 14 1 3
6 16 1 3
7 6 2 1
8 14 2 1
9 16 2 2
10 10 2 2
11 16 2 3
12 22 2 3
Here is the ANOVA table,
General Linear Model: data versus system number, language
Factor Type Levels Values
system number fixed 2 1, 2
language fixed 3 1, 2, 3
Analysis of Variance for data, using Adjusted SS for Tests
Source DF Seq SS Adj SS Adj MS F P
system number 1 12.00 12.00 12.00 1.00 0.356
language 2 114.00 114.00 57.00 4.75 0.058
system number*language 2 6.00 6.00 3.00 0.25 0.787
Error 6 72.00 72.00 12.00
Total 11 204.00
S = 3.46410 R-Sq = 64.71% R-Sq(adj) = 35.29%
From this ANOVA table, I didn't see any of them significant, since all three P-values are greater than 0.05.
If I had a misunderstanding of the data, pls let me know, and I will think it again. Thank you.
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