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Logit, Probit and Tobit: Models for Categorical and Limited ...

Logit, Probit and Tobit: Models for Categorical and Limited ...

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The <strong>Logit</strong> <strong>and</strong> <strong>Probit</strong> <strong>Models</strong><br />

– In the logit model model, we can interpret b as an effect<br />

on the odds. That is, every unit increase in X<br />

results in a multiplicative effect of eb p<br />

on the odds.<br />

Example: If b = 0.25, then e .25 = 1.28. Thus, when X<br />

changes by one unit, p increases by a factor of 1.28, or<br />

changes by 28%.<br />

- In the probit model, use the Z-score terminology.<br />

FFor every unit it increase i in i X, X the th Z Z-score ( (or th the<br />

<strong>Probit</strong> of “success”) increases by b units. [Or, we<br />

can also say that an increase in X changes Z by b<br />

st<strong>and</strong>ard deviation units.]<br />

- If you like, you can convert the z-score to probabilities<br />

y ,y p<br />

using the normal table.

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