This function takes observables from the data and user beliefs over the extent of measurement error (kappa) and the direction of endogeneity (r_TstarU) to generate the implied bounds on instrument validity (r_uz)
get_r_uz_bounds(r_TstarU_lower, r_TstarU_upper, k_lower, k_upper, obs)
Vector of lower bounds of endogeneity
Vector of upper bounds of endogeneity
Vector of lower bounds on measurement error
Vector of upper bounds on measurement error
Observables generated by get_observables
2-column data frame of lower and upper bounds of r_uz