EXPERiMENT PLANNING FACTOR ANALYSIS OF A COMPLETE EXPERIMENT By

Empirical relationships are advisably established from results of planned tests. In planning the experiment, a system of factor levels is acting on the test object, hence adjustments are planned such that yield solutions of ade-quate accuracy [I]. A complete experimental adjustment is that involving all possible com-binations of assumed factors and factor levels [2J. The classic test of factor effects is the variance analysis. Here a new method for analyzing the effect and interaction of factors, different from variance analysis, will be presented that is simpler and has a wider range of applications. Its essential is to express the effect and interac-tion of factors in terms of the deviations of empirical distribution functions and quantile functions I3]. 1. Fundamentals Test object is the measurable quantity the test is made for. Test object may be one or more variables or their interrelation. Factor is the measurable variable quantity taking a determined value under given circumstances. The factor suits to adjust the test object. Factor level is the adjustable value of the factor achievable under deter-mined, real circumstances. Adjustment. In experiments, several factors act simultaneously. Every factor is given a determined or planned value. An actual system of factor levels is the adjustment. Empirical relationships are functional relationships of two or more variables permitting to mutually deduce each other's values. Two or more stochastic variables can only be related by stochastic rela-tionships. Also in their occurrence, mathematical methods are applied to find an unambiguous function possibly best expressing the character of the rela