hw6 - ( ij , ik , jk ), write down the estimates. (d) (3...

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

View Full Document Right Arrow Icon
STAT 4220 HW6 (15 points) Due on Thu, March 18 1. (5 points) Fill up the gaps in the following Latin Square Design of order 9. A B C * E * G * * H * F G C I E * A * G E B H * C F D D C * * * E B I G * E * H I D * A * F * A C * * * D E B * * * D C A E * C * D E F * I * B * F * * G * D * H Note that it is equivalent to the following - you might have seen this elsewhere ¨ ^ 9 6 8 3 1 5 7 1 8 2 3 9 1 3 6 5 8 7 4 4 8 3 6 2 1 3 5 2 4 9 7 9 8 4 3 6 4 8 9 3 8 4 3 7 2 6 7 1 4 5 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. (10 points) Consider the following model: y ijk = μ + α i + β j + γ k + ² ijk 1 i I, 1 j J, 1 k K, where ² ijk ’s are i.i.d. Normal (0 2 ). This is the three-way layout model with no interactions. (a) (2 points) How many degrees of freedom are there for the residual sum of squares? (b) (2 points) Write down the expression for the estimate of σ 2 . (c) (2 points) If the model above had included two-way interaction terms
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( ij , ik , jk ), write down the estimates. (d) (3 points). Now suppose that I = J = K = 5, and further assume that the following Latin Square has been used. A D E B C C B A E D D C B A E E A C D B B E D C A In that case, the model given at the beginning of this problem is still appropriate, but the estimate of 2 will be dierent. Explain clearly what the estimate of 2 will be in this case. (e) (1 point) Explain why one might prefer to use a Latin Square Design of order 5 rather than a 5 5 5 three-way layout with one observation per cell. 2...
View Full Document

Page1 / 2

hw6 - ( ij , ik , jk ), write down the estimates. (d) (3...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online