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11 - Limited dependent variable models

Chris Brooks
Affiliation:
University of Reading
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Summary

Learning Outcomes

In this chapter, you will learn how to

  • Compare between different types of limited dependent variables and select the appropriate model

  • Interpret and evaluate logit and probit models

  • Distinguish between the binomial and multinomial cases

  • Deal appropriately with censored and truncated dependent variables

  • Estimate limited dependent variable models using maximum likelihood in EViews

Introduction and motivation

Chapters 4 and 9 have shown various uses of dummy variables to numerically capture the information qualitative variables – for example, day-of-the-week effects, gender, credit ratings, etc. When a dummy is used as an explanatory variable in a regression model, this usually does not give rise to any particular problems (so long as one is careful to avoid the dummy variable trap – see chapter 9). However, there are many situations in financial research where it is the explained variable, rather than one or more of the explanatory variables, that is qualitative. The qualitative information would then be coded as a dummy variable and the situation would be referred to as a limited dependent variable and needs to be treated differently. The term refers to any problem where the values that the dependent variables may take are limited to certain integers (e.g. 0, 1, 2, 3, 4) or even where it is a binary number (only 0 or 1).

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2008

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