Analysis of five-point grids: the diamond configuration

摘要

It is thought to be impossible to estimate the interaction coefficient from five measurements taken at the vertex and center points of the diamond array. Estimates of the cited coefficient can be obtained by operational equations that use polynomials, sines and cosines, exponential terms, or powers of linear expressions. Interaction coefficients estimated by these equations are compared to the true values obtained by Taylor expansions of the generating functions.