The objective function is the negative of log likelihood function.
constrained.loglikelihood(para, X, Y.col, coeff, Y.c, ziMatrix)Vector of optimized parameters with length p+q, where p is the number of covariates for count model (e.g., beta-binomial), q is the number of covariates for zero model. The first p elements are betas which are the effects/coefficients for the count model. The last q elements are etas which are the effects/coefficients for the zero model.
The design matrix (n by p, p is the number of covariates) for the count model (e.g., beta-binomial), and intercept is included.
Vector of counts corresponding to an OTU, with length n.
Vector of coefficients in the polynomial mean-overdispersion relationship in constrained approach.
Vector of library size with length n.
The design matrix (n by q) for the zero model, and intercept is included.