Accession Number : ADA181600

Title :   Testing Curve Fit.

Descriptive Note : Final technical rept.,

Corporate Author : ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY CLOSE COMBAT ARMAMENTS CENTER

Personal Author(s) : Soanes,Royce

Report Date : NOV 1986

Pagination or Media Count : 22

Abstract : A test is derived for the hypothesis of residual randomness in a curve fit. The test is based on a binomial process where the main problem involved is equivalent to finding the distribution of the number of runs in a sequence of coin tosses. Although this distribution turns out to be quite simple in form and easy to apply, its use in testing curve fit seems to have been neglected in the statistical literature. We also obtain the more general distribution of the number of runs in a sequence of throws of a multifaceted die, which is used to test sequences for randomness per se. (Author) Keywords: Nonparametric Test; Hypothesis Testing; Residual Analysis; Trees; Recursions; Moments; Asymptotic Normality.

Descriptors :   *CURVE FITTING, *STATISTICAL TESTS, HYPOTHESES, MOMENTS, RESIDUALS, SEQUENCES, STATISTICS, TEST METHODS, TREES, NONPARAMETRIC STATISTICS, ASYMPTOTIC NORMALITY, BINOMIALS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE