Skip to main content
SpringerLink
Log in

Behavior of the Residuals of a Regression Least-Squares Model Which Is Linear in Its Parameters when the Number of Parameters Is Increased. Part 2. Interval for Series of Residuals. Problem of Gross Errors

  • Published:
Measurement Techniques Aims and scope

Abstract

The distribution of residuals in one series of measurements is obtained. It is shown that the normally used t interval for residuals is always wider than the correct one. The question of the detection of gross errors in the graphs of residuals is discussed. Reliable detection of gross errors is possible only for extremely small ratios of the number of parameters of the model to the number of nodes (≤0.1).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. G. A. Ivanov, Yu. V. Ponomarchuk, and Yu. R. Chashkin, Izmerit. Tekh., No. 10, 20 (2002).

  2. W. Ledermann (ed.), Handbook of Applicable Mathematics, Vol. I, Parts A and B (ed. E. Lloyd), Wiley, New York (1984).

    Google Scholar 

  3. S. S. Wilks, Mathematical Statistics, Wiley, New York (1962).

    Google Scholar 

  4. N. P. Klepkov and S. N. Sokolov, Analysis and Planning of Experiments by the Method of Maximum Likelihood [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  5. N. R. Draper and H. Smith, Applied Regression Analysis, Wiley, New York (1998).

    Google Scholar 

Download references

Authors
  1. G. A. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. V. Ponomarchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. R. Chashkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanov, G.A., Ponomarchuk, Y.V. & Chashkin, Y.R. Behavior of the Residuals of a Regression Least-Squares Model Which Is Linear in Its Parameters when the Number of Parameters Is Increased. Part 2. Interval for Series of Residuals. Problem of Gross Errors. Measurement Techniques 45, 1108–1114 (2002). https://doi.org/10.1023/A:1022046128860

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022046128860

Search

Navigation