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Introductory And Intermediate Growth Models - Mplus

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Categorical Outcomes: Logit <strong>And</strong> Probit RegressionProbability varies as a function of x variables (here x 1 , x 2 )P(u = 1 | x 1 , x 2 ) = F[β 0 + β 1 x 1 + β 2 x 2 ], (22)P(u = 0 | x 1 , x 2 ) = 1 - P[u = 1 | x 1 , x 2 ], where F[z] is either thestandard normal (Φ[z]) or logistic (1/[1 + e -z ]) distributionfunction.Example: Lung cancer and smoking among coal minersu lung cancer (u = 1) or not (u = 0)x 1 smoker (x 1 = 1), non-smoker (x 1 = 0)x 2 years spent in coal mine183Categorical Outcomes: Logit <strong>And</strong> Probit RegressionP(u = 1 | x 1 , x 2 ) = F [β 0 + β 1 x 1 + β 2 x 2 ], (22)1P( u = 1 x 1 , x 2 )x 1 = 1Probit / Logitx 1 = 1x 1 = 0x 1 = 00.50x 2x 218492

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