The calibration problem is that of estimating x at which

The calibration problem is that of estimating x at which π(x) = π0. For the linear logit model, argue that a confidence interval is the set of x values for which |α̂ + β̂x – logit(π0)|/[var(α̂) + x2 var(β̂) + 2x cov(α̂, β̂)]1/2 < zα/2.

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