Mplus Users Guide v6.. - Muthén & Muthén

CHAPTER 14values are exponentiated and summed. In the second step, eachexponentiated value is divided by the sum to compute the probability foreach class of c.exp probability = exp/sumlog odds (c = 1) = -1.822 0.162 0.069log odds (c = 2) = -0.748 0.473 0.201log odds (c = 3) = -0.324 0.723 0.307log odds (c = 4) = 0 1.0 0.424_______ ________sum 2.358 1.001In the second example, the values of the three covariates are all one sothat both the intercepts and the slopes contribute to the logs odds. In thefirst step, the log odds values for each class are computed. In the secondstep, the log odds values are exponentiated and summed. In the last step,the exponentiated value is divided by the sum to compute the probabilityfor each class of c.log odds (c = 1) = -1.822 + (-0.285*1) + (2.578*1) + (0.158*1)= 0.629log odds (c = 2) = -0.748 + 0.069*1 + 0.187*1 + (-0.606*1)= -1.098log odds (c = 3) = -0.324 + (-0.317*1) + 1.459*1 + 0.999*1= 1.817expprobability = exp/sumlog odds (c = 1) = 0.629 1.876 0.200log odds (c = 2) = -1.098 0.334 0.036log odds (c = 3) = 1.817 6.153 0.657log odds (c = 4) = 0 1.0 0.107_______ ________sum 9.363 1.000The interpretation of these probabilities is that individuals who have avalue of 1 on each of the covariates have a probability of .200 of beingin class 1, .036 of being in class 2, .657 of being in class 3, and .107 ofbeing in class 4.444