Find the value of 5SA

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A graduate student obtained the following sample means in an equal-n 3x 2 factorial design: He performed an ANOVA on these data, but his 6-year old daughter spilled sulfuric acid on a portion of the ANOVA table. What remains is the following: Knowing that you are a statistics whiz, the graduate student asks you (in the questions below) to fill in the remainder of his table. a. Find the value of 5SA. b. Find the value of SSS. c. Fill in the missing degree of freedom entries in the table. d. Calculate the mean square for each source in the table. e. Calculate the F value for each effect. Which effects are significant at the .05 level? f. The graduate student claims that the interaction is nonsignificant here. Because he is primarily interested in the A main effect, he decides to reanalyze the data as a one-way design with three groups, simply ignoring B. What will he find? Show your work.

 

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