Function to calculate the error in estimated sample size for use in optimize function

relR_samplesize_opterr(
  m,
  R_a,
  R_b,
  p_a,
  N,
  alpha,
  alternative,
  power,
  sensitivity,
  specificity,
  overdispersion
)

Arguments

m: the sample size.
R_a: Numeric (Positive). The assumed R among the group in the denominator of the ratio. Input value must be greater than 0.
R_b: Numeric (Positive). The assumed R among the group in the numerator of the ratio. Input value must be greater than 0.
p_a: Numeric. The proportion of the population in group a. Must be between 0 and 1.
N: Numeric (Positive). The size of the infected pool. Only one of rho or N should be specified.
alpha: Numeric. The desired alpha level. Default: 0.05
alternative: Character. Specifies the alternative hypothesis. Must be: two_sided (Default), less, or greater
power: Numeric. The desired power. Must be a value between 0 and 1. Default: 0.8.
sensitivity: Numeric. The sensitivity of the linkage criteria. Must be between 0 and 1. Default: 1.
specificity: Numeric. The specificity of the linkage criteria. Must be between 0 and 1. Default: 1.
overdispersion: Numeric (Positive). An overdispersion parameter, set if the assumed distribution of the number of edges is negative binomial. If NULL the assumed distribution is Poisson (equivalent to an overdispersion parameter of infinity) Default: NULL Note that this is equivalent to setting the overdispersion parameter to Inf.

Squared error between the input sample size and estimated sample size