STAT 431
University of Washington
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Assignment 3 Solution STAT 431|100% correct
- Exam (elaborations) • 9 pages • 2023
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ASSIGNMENT 3 - SOLUTIONS 
1. [15 points] 
(a) [5 points] The likelihood for the data from the British for the most general multinomial 
model is 
P(Yij = yij , i = 1, . . . , 5; j = 1, . . . , 5|Y.. = y..) = y.. 
! 
Q 
i 
Q 
j yij ! 
Y 
i 
Y 
j 
π 
yij 
ij 
where πij = 
µij 
µ.. 
and P 
i 
P 
j πij = 1. 
(b) [5 points] The form of the corresponding log-linear model that should be fit to assess 
the hypothesis of perfect social mobility in Britain is 
log µij = u + u 
X 
i + u 
Y 
j 
where ...
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