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Logistic Regression Using SAS®: Theory and Application by Paul D. Allison

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3.9. Latent Variables and Standardized Coefficients

The logit model can be derived by assuming an underlying model for a continuous variable which is then dichotomized. While this rationale is not essential, it can be helpful in understanding several aspects of the model:

  • How the model might have arisen in the real world.

  • Where standardized coefficients come from.

  • How the logit model is related to the probit and complementary log-log models.

  • How the model can be generalized to ordinal dependent variables.

  • How unobserved heterogeneity can affect logit coefficients.

In this section, we’ll examine the first two points, leaving the other three for later.

Here’s the idea. Suppose we have a dependent variable z that is measured on a continuous scale. ...

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