In a two-way factor ANOVA, the sum of squares due to both factors, the interaction sum of squares, and the error sum of squares must add up to the total sum of squares.
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Q. 2A study will be undertaken to examine the effect of two kinds of background music and of two assembly methods on the output of workers at a fitness shoe factory. Two workers will be randomly assigned to each of four groups, for a total of eight in the study. Each worker will be given a headphone set so that the music type can be controlled. The number of shoes completed by each worker will be recorded. Does the kind of music or the assembly method or a combination of music and method affect output? The ANOVA model most likely to fit this situation is the two-way analysis of variance.
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Q. 3In a two-way ANOVA, it is easier to interpret main effects when the interaction component is not significant.
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Q. 4In a two-way factor ANOVA with replications in which all hypotheses are to be tested at the .05 significance level, if the p-value for interaction is .0257, then we should conclude that no interaction exists between the levels of the two factors.
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Q. 5In a two-way factor ANOVA with replications, the null hypothesis for testing whether interaction exists is that no interaction exists, while the alternative hypothesis is that interaction does exist.
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Q. 6In a two-way factor ANOVA, if factors A and B do not interact, then neither A nor B can be considered statistically significant.
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