STAT333 Lecture 1: Midterm2_Sol_Fall_2014

5. Consider the matrix 1 1 2 A= 2 b 3 11 a/ . Which of the following is true? (a) rank(A)=1 if b = 2 and for every value of a (b) rank(A)=2 if b=2 and for every value of a #2 (c) rank(A)=1 if b=1 and a = 2 (d) rank(A)=1 if b = 2 and a = 2 (e) None of the above

(3 1 7. The rank of 1 2 11 1 3 2 1 1 2 -1 0 is 1 0 -1 " 2 ). (A) 1 (B) 2 (C) 3 (1) 4)

Panelist

Variation

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1

4

3

2

1

4

5

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1

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7

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1

3

6

5

1

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3

1

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2

4

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2

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3

3

2

4

2

4

2

1

3

5

2

6

2

1

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3

1

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3

1

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4

3

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6

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3

5

1

1. Write out the F and p value(s) for each of the ANOVAs
2. Which of the ANOVA(s) are significant?
3. If you have a significant ANOVA, describe how the post-hoc tests help you understand the results.
4. Write a few statement(s) that describes these results.

Other Data Situations: