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Lagrange multiplier example, part 2

A YouTube video from Khan Academy: Meaning of Lagrange multiplier #learn

Lagrange multipliers, using tangency to solve constrained optimization

Interpreting model fit for categorical data (logit, ordered logit, multinomial logit,etc.). FAQ: How are the likelihood ratio, Wald, and Lagrange multiplier (score) tests different and/or similar?

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Lagrange multiplier example, part 1