Tutorial 10 Solution

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

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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
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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...
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This note was uploaded on 03/21/2010 for the course BIZ ab103 taught by Professor Woo during the Spring '10 term at Nanzan.

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

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