hw1_solution

# hw1_solution - 1.6 1.6 1.6 1.6(a Consider the following...

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

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: 1.6 1.6 1.6 1.6 (a) Consider the following statistical model: i i i l y ε τ + + = , i =1,2,…,6, where y i =the i th observed difference between A and B (A-B) τ =the intrinsic difference between A and B (A-B) l i =learning effect of the i th transcript ε i =errors with mean 0 When the test sequence for the i th transcript is AB, B is benefited by the learning effect, thus l i <0. Similarly, l i >0 if the sequence of the i th test is BA. Assume that ... 6 2 1 > = = = = l l l l in part (a). Without randomization, as the following sequence: AB, AB, AB, AB, AB, AB l y − = = η η ˆ , i.e., the estimation of the difference between A and B is biased by l . With randomization as the following sequence: AB, BA, AB, BA, AB, AB 3 6 2 4 ˆ l l l y − = − − = = η η η , i.e., the estimation of the difference between A and B is biased by l /3< l . Using balance in addition to randomization, as the following sequence AB, AB, AB, BA, BA, BA (*) η η η = − − = = 6 3 3 ˆ l l y , i.e., there is no bias if we use balance., i....
View Full Document

## This note was uploaded on 04/26/2011 for the course STATS 424 taught by Professor Peterqian during the Spring '11 term at University of Wisconsin.

### Page1 / 4

hw1_solution - 1.6 1.6 1.6 1.6(a Consider the following...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online