Testing Curve Fit.

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.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA181600

Entities

People

  • Royce Soanes

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Binomials
  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Lepidoptera
  • Literature
  • Mathematical Analysis
  • Mathematics
  • Normality
  • Residuals
  • Sequences
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Statistical inference.