Error Modeling and Confidence Interval Estimation for Inductively Coupled Plasma Calibration Curves.

Abstract

A simple linear calibration function can be used over a wide concentration range for the Inductively Coupled Plasma (ICP) spectrometer due to its linear responses. The random errors over wide concentration ranges are not constant, and constant variance regression should not be used to estimate the calibration function. Weighted regression techniques are appropriate if the proper weights can be obtained. Use of the calibration curve to estimate. The concentration of one or more unknown samples is straightforward, but confidence interval estimation for multiple use of the calibration curve is les obvious. A method is described for modeling the error along the ICP calibration curve using the estimated parameters from the fitted model to calculate weights for the calibration curve fit. Multiple and single-use confidence interval estimates are obtained and results along the calibration curve are compared.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA186711

Entities

People

  • Clifford H. Spiegelman
  • Raymond J. Carroll
  • Robert L. Watters Jr.

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Calibration
  • Coefficients
  • Confidence Limits
  • Data Science
  • Data Sets
  • Detection
  • Inequalities
  • Information Science
  • Intensity
  • Intervals
  • Measurement
  • North Carolina
  • Spectral Lines
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Plasma Physics.
  • Regression Analysis.