SCIENTIFIC DISTRIBUTION FUNCTION SOFTWARE

THIS STUDY INVESTIGATED THE FEASIBILITY OF PREPARING COMPUTER SOFTWARE THAT PRESENTS TABULAR AND GRAPHIC PROBABILITY TABLE OUTPUT TO AID EXPERIMENTERS. MAJOR DIFFICULTIES SURMOUNTED WERE: (1) PREPARATION AND EXACT PROBABILITY SUBROUTINES FOR NONPARAMETRIC STATISTICAL TESTS;(2) HIGH-ACCURACY IMPLEMENTATIONS-NORMAL, INVERSE NORMAL, ERROR, AND INVERSE ERROR DISTRIBUTIONS; (3) DESIGN AND IMPLEMENTATION OF THE EMBEDDING SYSTEM; AND (4) PLOTTING, PROBABILITY RESULTS, AND EMPIRICAL VS. THEORETICAL DENSITIES. FOR DISTRIBUTIONS, BETA, CHI-SQUARE, F, NORMAL, AND T, AND FOR THE NONPARAMETRIC TESTS, WILCOXON RANK SUM AND SIGNED RANK, THE RESULTING SYSTEM PROVIDES THESE FUNCTIONS: CALCULATE AND PLOT PROBABILITIES, SHOWING CRITICAL POINTS AND PLACEMENT OF STATISTICS; PRESENT SUBROUTINES-PROBABILITIES AND UNIFORM PSEUDORANDOM NUMBERS; CONSTRUCT PROBABILITY TABLES IN TABULAR FORM; AND PROVIDE A SYSTEM AND USER INTERFACE WHERE SOFTWARE AND DOCUMENTS RESIDE. FOR CONTINUOUS CASES, THE SYSTEM WILL GENERATE, PLOT (GENERATED DEVIATES AND THEORETICAL COUNTERPARTS), AND TEST DEVIATES. THE ANALYSIS SYSTEM ALLOWS CONSISTENT INTERPRETATION OF EXPERIMENTAL RESULTS, PROVIDING RESEARCHERS ASSURANCE OF CORRECT RESULTS ON WHICH TO BASE CONCLUSIONS ABOUT HYPOTHESES, THE ABILITY TO ACCESS TABLES WITHOUT BEING CONVERSANT WITH TABLE CONSTRUCTION, AND THE ABILITY TO USE SOFTWARE WITHOUT BEING KNOWLEDGEABLE ABOUT COMPUTING OR NUMERICAL ANALYSIS. FEASIBILITY HAS BEEN DEMONSTRATED, AND THE POSSIBILITY IS OPEN FOR EXTENSION OF THESE RESULTS.