Question: Consider the logistic-normal model, logit( i ) = + x i + u i . For small , show that it corresponds approximately

Consider the logistic-normal model, logit(π_i) = α + x’_i β + u_i. For small σ, show that it corresponds approximately to a mixture model for which the mixture distribution has var(π_i) = [µ_i(1 – µ_i)]² σ².

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