Normalizing constants for the publication selection meta-Analysis model. These are used in several other functions. The underlying effect size distribution is normal and the selection is one-sided.
I(sigma, theta, alpha, eta)J(sigma, theta0, tau, alpha, eta)
The normalizing constant.
Numeric; The standard deviation of the study, due to sampling error.
Numeric; The mean of the underlying effect size.
Numeric vector; Specifies the thresholds for publication bias.
Numeric vector; Containing the probabilities of being a study with the given p-value from being published. This is normalized so that the maximal element is 1.
Numeric; The mean of the underlying effect size distribution.
Numeric; The standard deviation of the underlying effect size distribution.
The function I
calculates the normalizing constant for the density of
the observed effect sizes. The function J
calculates the
normalizing constant for the density of the effect size distribution.