# exam02_answers - STA 3024 Summer A 2011 Name Exam 2(Form...

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QUESTION 3 HAS A TYPO. DEGREES OF FREEDOM DO NOT SUM TO TOTAL. 1. Working with F -table. In a Two-Way ANOVA F -test for the main effect of Factor A with df A = 4 and df E = 24 , which of the following test statistic values would correspond to p-values less than α = 0 . 05 ? (HINT: Please look carefully at the F -table.) (A) F A = 2 . 5 (B) F A = 3 . 0 (C) F A = 3 . 5 (D) ( A ) and ( B ). ( B ) and ( C ). 2. Two-Way ANOVA Theory. ( Class example.) In the two-way ANOVA table shown below, what is the value of the Error sum of squares SS E ? Source df SS MS Factor A (Gender) 1 353.63 353.63 Factor B (Age) 2 1520.00 760.00 Interaction 2 109.87 54.93 Error 17.88 Total 29 2412.70 SS E = 429 . 20 (A) SS E = 17 . 88 (B) SS E = 83 . 20 (C) SS E = 109 . 87 (D) Impossible to determine since we do not know the degrees of freedom for the error df E . 3. Two-Way ANOVA Theory. Using the Two-Way ANOVA table shown below, identify the sample size used to compute this ANOVA table Source df SS MS Factor A 15 150 10 Factor B 25 250 10 Interaction ( A × B ) 375 380 1 . 013 Error 833 1000 1 . 20 Total 1247 1780 (A) 1247 1248 (B) 1249 (C) 1780 (D) 1247 + 1780 = 3027
4. One-Way ANOVA assumptions and model validity. In One-Way ANOVA, which of the following is not required for the model assumptions to be valid? (A) The group sample sizes should be the same . (B) Group size n i should be at least 30 for each group we have. (C) Standard deviation for all elements in the sample is the same . That is, if we compute the group sample standard deviations, they should be at least approximately equal. Both

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## This note was uploaded on 01/08/2012 for the course STA 3024 taught by Professor Ta during the Summer '08 term at University of Florida.

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exam02_answers - STA 3024 Summer A 2011 Name Exam 2(Form...

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