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Getting Started in Logit and Ordered Logit Regression - Data and ...

Getting Started in Logit and Ordered Logit Regression - Data and ...

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Ord<strong>in</strong>al logit: predicted probabilities<br />

Follow<strong>in</strong>g Hamilton, 2006, p.279, ologit estimates a score, S, as a l<strong>in</strong>ear function of the<br />

X’s:<br />

S = 0.22X 1<br />

-0.05X 2<br />

Predicted probabilities are estimated as:<br />

+ 0.11X3 + 0.22X4 -0.29X 5<br />

+ 0.003X6 + 1.57X7 P(y_ord<strong>in</strong>al=“disagree”) = P(S + u ≤ _cut1) = P(S + u ≤ -0.5528058)<br />

P(y_ord<strong>in</strong>al=“neutral”) = P(_cut1 < S + u ≤ _cut2) = P(-0.5528058 < S + u ≤ 0.5389237)<br />

P(y_ord<strong>in</strong>al=“agree”) = P(_cut2 < S + u ) = P(0.5389237 < S + u)<br />

To estimate predicted probabilities type predict right after ologit model. Unlike<br />

logit, this time you need to specify the predictions for all categories <strong>in</strong> the ord<strong>in</strong>al<br />

variable (y_ord<strong>in</strong>al), type:<br />

predict disagree neutral agree<br />

PU/DSS/OTR

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