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).

The p-value for Factor A is

less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

What is your conclusion with respect to Factor A?

Factor A is significant

Factor A is not significantItem 19

The p-value for Factor B is

less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

What is your conclusion with respect to Factor B?
SelectFactor B is significant

Factor B is not significantItem 21

The p-value for the interaction of factors A and B is

less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

What is your conclusion with respect to the interaction of Factors A and B?

The interaction of factors A and B is significant

The interaction of factors A and B is not significantItem 23

Language Spanish French German System 1 6 14 14 10 18 18 System 2 6 16 16 10 18 22

Explanation / Answer

Solution:

i. ANOVA table

The p-value of Factor A is greater than 0.10

Factor A is not significant.

The p-value of factor B is less than 0.01

Factor B is significant.

The p-value for the interaction of factors A and B is greater than .10
The interaction of factors A and B is not significant.

Two factor ANOVA Factor 2 Means: Spanish French German System 1 8.0 16.0 16.0 13.3 Factor 1 System 2 8.0 17.0 19.0 14.7 8.0 16.5 17.5 14.0 2 replications per cell ANOVA table Source SS    df MS F    p-value Factor 1 5.33 1 5.333 0.62 .4626 Factor 2 218.00 2 109.000 12.58 .0071 Interaction 4.67 2 2.333 0.27 .7727 Error 52.00 6 8.667 Total 280.00 11

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