{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Tutorial 10 Solution

# Tutorial 10 Solution - s p 2 is a better estimate of σ 2...

This preview shows pages 1–11. Sign up to view the full content.

1 AB103: Statistical and Quantitative Methods Tutorial 10: Solutions Chapter 8 (MBS) 1. MSE = SSE/(n – k), where k is the number of treatments, = k i n n 1 , n i is the sample size for the i th treatment. Please refer to pp. 485 of our test book for other definitions. s n s n s n X x X x X x SSE k k k j kj j j j j n n n k 2 2 2 2 2 1 1 2 1 2 2 1 2 2 1 1 1 ) 1 ( ... ) 1 ( ) 1 ( ) ( ... ) ( ) ( 2 1 + + + = + + + = = = = s n s n s n s n MSE p k i k k 2 1 2 2 2 2 2 1 1 ) 1 ( ) 1 ( ... ) 1 ( ) 1 ( = + + + = That is, MSE is a degree-of-freedom-weighted average of sample variances, and is thus the same as pooled variance s p 2 . If all populations have a same variance σ 2 , the pooled variance

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

View Full Document

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

View Full Document

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

View Full Document

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

View Full Document

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.

Unformatted text preview: s p 2 is a better estimate of σ 2 . Since the F test in ANOVA uses s p 2 , it must assume that all populations have the same variances. 2. Q1. 8.2 The treatments are the combinations of levels of each of the two factors. There are 2 × 5 = 10 treatments. They are: (A, 50), (A, 60), (A, 70), (A, 80), (A, 90) (B, 50), (B, 60), (B, 70), (B, 80), (B, 90) Q1 8.3 2 Q1 8.4 Q2 Q3 8.16 3 4 5 6 Q4 8.28 7 Q5 8.32 8 3. Q6 9.7 9 Q7 9.22 10 11 Q8 9.31...
View Full Document

{[ snackBarMessage ]}

### Page1 / 11

Tutorial 10 Solution - s p 2 is a better estimate of σ 2...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online