The Poisson Regression model The Poisson Regression Model Predicting the Number of Children In the Poisson regression model, the Ever born to chinese women number of events( the dependent varable) is a nonnegative integer; it has a Poisson We are going to modeling the number of distribution with a conditional mean that children ever born(CEB)to Chinese depends on the characteristics(the x women from the 1997 survey. Before doing variables)of the individuals according to the Poisson regression, we would be the following structural model wondering if the count data are Poisson A,=exp(a+b,,+b2x2++b, Xn) Thus we conducted an analysis of the count dependent variable to compare the In(u, )=a+6,X1+bx2++b, Xh observed distribution of the count data with a univariate poisson distribution with the same mean as the count data The Poisson regression model is a nonlinear model, predicting for each individual the The dependent variable is a count variable, number of times, that the event has namely, the number of children ever born occurred. The x variables are related to u a woman. the variable is called"CEB Here are descriptive data on this variable nonlinearly sample women9 17 The Poisson Regression Model • In the Poisson regression model, the number of events (the dependent variable) is a nonnegative integer; it has a Poisson distribution with a conditional mean that depends on the characteristics (the X variables) of the individuals according to the following structural model: 18 The Poisson regression model is a nonlinear model, predicting for each individual the number of times, μ, that the event has occurred. The X variables are related to μ nonlinearly. 10 19 The Poisson Regression Model Predicting the Number of Children Ever Born to Chinese Women • We are going to modeling the number of children ever born (CEB) to Chinese women from the 1997 survey. Before doing the Poisson regression, we would be wondering if the count data are Poisson distributed. 20 • Thus we conducted an analysis of the count dependent variable to compare the observed distribution of the count data with a univariate Poisson distribution with the same mean as the count data. • The dependent variable is a count variable, namely, the number of children ever born to a woman. The variable is called “CEB”. Here are descriptive data on this variable for the sample women: