Using Nonlinear Least-Squares Methods for Quantal Response and Sensitivity Analyses, Minimum Chi-Square Estimation, and Differential Equations

摘要

A number of special statistical and mathematical techniques re-duce to solving equations equivalent to those required by general least-squares procedures. In the statistical category are quan¬tal response and sensitivity analyses and minimum chi-square estimation of parameters;in the mathematical, is the problem of determining constants for differential equations whose solu¬tions are relations among observable variables. This report contains demonstrations of the equivalences and provides ex¬amples to which the methods were applied.