I'd say 'yes' definitely to the elmination of milk. I'd also eliminate eggs. The mother's body makes its own milk, and doesn't need to modify it with milk 'designed' for cows, nor with 'milk' (eggs) designed for chickens. Also, read labels on your packaged, canned, or frozen foods for milk, eggs, or their constituents (e.g., caseine, lactose, whey).

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"The need to perform adjustments for covariates...weakens the findings." BMJ Clinical Evidence: Mental Health, (No. 11), p. 95.... It's that simple, guys: bad numbers make bad science.