ST102_Solutions_18.pdf

# ST102_Solutions_18.pdf - ST102 Outline solutions to...

This preview shows pages 1–2. Sign up to view the full content.

ST102 Outline solutions to Exercise 18 1.* We need to calculate the following: ¯ X A = 1 3 3 X i =1 X iA , ¯ X B = 1 4 4 X i =1 X iB , ¯ X C = 1 5 5 X i =1 X iC , ¯ X D = 1 3 3 X i =1 X iD and: ¯ X = 3 i =1 X iA + 4 i =1 X iB + 5 i =1 X iC + 3 i =1 X iD 15 . Alternatively: ¯ X = 3 ¯ X A + 4 ¯ X B + 5 ¯ X C + 3 ¯ X D 15 . We then need the between-groups sum of squares: B = 3( ¯ X A - ¯ X ) 2 + 4( ¯ X B - ¯ X ) 2 + 5( ¯ X C - ¯ X ) 2 + 3( ¯ X D - ¯ X ) 2 and the within-groups sum of squares: W = 3 X i =1 ( X iA - ¯ X A ) 2 + 4 X i =1 ( X iB - ¯ X B ) 2 + 5 X i =1 ( X iC - ¯ X C ) 2 + 3 X i =1 ( X iD - ¯ X D ) 2 . Alternatively, we could calculate only one of the two, and calculate the total sum of squares (TSS): TSS = 3 X i =1 ( X iA - ¯ X ) 2 + 4 X i =1 ( X iB - ¯ X ) 2 + 5 X i =1 ( X iC - ¯ X ) 2 + 3 X i =1 ( X iD - ¯ X ) 2 and use the relationship TSS = B + W to calculate the other. We then construct the ANOVA table: Source DF SS MS F Factor 3 b b/ 3 11 b/ 3 w Error 11 w w/ 11 Total 14 b + w At the 100 α % significance level, we then compare f = 11 b/ 3 w to F α, 3 , 11 using Table 9 of Murdoch and Barnes’

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern