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Unformatted text preview: nes an ordinal scale on j .
UNM Cummulative Logit model
Cummulative odds for the j − th category.
πi + π2 + . . . + πj
P (Z ≤ cj )
P (Z > cj )
πj +1 + πj +2 + . . . + πJ
Proportional odds model:
log πi + π2 + . . . + πj
πj +1 + πj +2 + . . . + πJ = β0j + β1 X1 + . . . + βp Xp only intercept β0j depends on j .
β1 , β2 , . . . , βp are constant across j . UNM Alternatively, consider ratios
Adjacent category logic model
πj +1 = β0j + β1 X1 + . . . + βp Xp or
πj +1 + πj +2 . . . + πK = β0j + β1 X1 + . . . + βp Xp Odds of being in category j (cj −1 ≤ Z ≤ cj ), conditional on
Z > cj −1 .
Other link functions can be considered.
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This note was uploaded on 01/27/2014 for the course STAT 574 taught by Professor Gabrielhuerta during the Fall '13 term at New Mexico.
- Fall '13