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 | 7 | 8 | 15 |
| 11 | 12 | 19 | |
| System 2 | 9 | 13 | 14 |
| 13 | 15 | 20 | |
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use .
Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places.
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | -value | |
| Factor A | |||||
| Factor B | |||||
| Interaction | |||||
| Error | |||||
| Total |
The p-value for Factor A is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21
What is your conclusion with respect to Factor A?
- Select your answer -Factor A is not significantFactor A is significantItem 22
The p-value for Factor B is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23
What is your conclusion with respect to Factor B?
- Select your answer -Factor B is not significantFactor B is significantItem 24
The p-value for the interaction of factors A and B is - Select your answer -less 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?
- Select your answer -The interaction of factors A and B is not significantThe interaction of factors A and B is significantItem 26
| excel: data-data analyis: 2 way ANOVA with replication |
| Source | SS | df | MS | F | p value |
| factor A | 12.00 | 1 | 12.00 | 1.38 | 0.2839 |
| factor B | 104.00 | 2 | 52.00 | 6.00 | 0.0370 |
| interaction | 8.00 | 2 | 4.00 | 0.46 | 0.6510 |
| error | 52.00 | 6 | 8.67 | ||
| total | 176.00 | 11 |
| p value for factor Ais greater than 0.05 | ||
| factor A is not significant | ||
| p value for factor B is between 0.02 and 0.05 | ||
| factor B is significant | ||
| p value for the interaction of is greater than 0.05 | ||
| interaction of factor A and factor B is not significant |
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