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2018 Feb 16
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analysis of covariance and constrained parameters
...ily =......, data = .....) glm(value ~ Age/(Cohort + I(Cohort^2)) - 1, family =......, data = .....). The latter commands would provide estimates of the age-specific intercept, linear, and quadratic coefficients, as in value_Age1 <- intercept_Age1 + linear_Age1*Cohort + quad_Age1*Cohort^2 value_Age2 <- intercept_Age2 + linear_Age2*Cohort + quad_Age2*Cohort^2 This is standard. One would choose among the above models via analysis of variance or AIC. Now assume that I have external knowledge that tells me that there is NO influence of Cohort on value for Age1 and that there could be up...