Determination of Estimates of Parameters of Calibration Regression Straight Line with Objective Elimination of Remote Measurements

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Title:Determination of Estimates of Parameters of Calibration Regression Straight Line with Objective Elimination of Remote Measurements
Creators:
Jehlička, Vladimír
Mach, Vladimír
Journal or Publication Title:
Collection of Czechoslovak Chemical Communications, 60, 12, pp. 2064-2073

Abstract

<p>An alternative algorithm of calculation of estimates of parameters of calibration regression straight line with elimination of remote measurements has been elaborated for a function <i>f</i>(<i>x</i>) composed of linear-nonlinear or nonlinear-linear parts or, as the case may be, of nonlinear-linear-nonlinear parts. This algorithm makes it possible to objectively eliminate remote measurements and determine the interval &lt;<i>x<sub>1</sub>;x<sub>2</sub></i>&gt; in which is located the linear part of dependence of output measured quantity <i>y</i> = <i>f</i>(<i>x</i>) with normal distribution <i>N</i>(<i>f</i>(<i>x</i>), σ<sup>2</sup>) on the input, i.e., independent variable <i>x</i>. For the procedure used for testing of remoteness of experimental points, a relation has been derived for calculation of the critical value of deviation of the point tested. The algorithm is finished by the calculation of parameters of the corresponding regression straight line and other statistical characteristics. On the basis of the algorithm suggested, a program has been assembled whose reliability was verified on a series of both model and practical examples.

Title:Determination of Estimates of Parameters of Calibration Regression Straight Line with Objective Elimination of Remote Measurements
Creators:
Jehlička, Vladimír
Mach, Vladimír
Divisions:Life and Chemical Sciences > Institute of Organic Chemistry and Biochemistry > Collection of Czechoslovak Chemical Communications
Journal or Publication Title:Collection of Czechoslovak Chemical Communications
Volume:60
Number:12
Page Range:pp. 2064-2073
ISSN:0010-0765
E-ISSN:1212-6950
Publisher:Institute of Organic Chemistry and Biochemistry
Related URLs:
URLURL Type
http://dx.doi.org/10.1135/cccc19952064UNSPECIFIED
ID Code:893
Item Type:Article
Deposited On:06 Feb 2009 17:04
Last Modified:06 Feb 2009 16:04

Citation

Jehlička, Vladimír; Mach, Vladimír (1995) Determination of Estimates of Parameters of Calibration Regression Straight Line with Objective Elimination of Remote Measurements. Collection of Czechoslovak Chemical Communications, 60 (12). pp. 2064-2073. ISSN 0010-0765

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