{Exercise 13.43 (Algorithmic)} A factorial experiment was designed to test for a
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Question
{Exercise 13.43 (Algorithmic)}
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). Round p-value to four decimal places.
The p-value for Factor A is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21
What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem 22
The p-value for Factor B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23
What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem 24
The p-value for the interaction of factors A and B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 25
What is your conclusion with respect to the interaction of Factors A and B?
SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 26
Explanation / Answer
here applying two way ANOVA on above data set:
e p-value for Factor A is greater than .05
Factor A is not significant
p-value for Factor B is between .025 and .05
Factor B is significant
p-value for the interaction of factors A and B is greater than .05
The interaction of factors A and B is not significant
Source of Variation SS df MS F P-value factor A 1.33 1 1.33 0.15 0.7084 factor B 98.00 2 49.00 5.65 0.0417 Interaction 12.67 2 6.33 0.73 0.5200 error 52.00 6 8.67 Total 164 11Related Questions
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