### Abstract

The utility of analytical chemistry measurements in most applications is dependent on an assessment of measurement error. This paper demonstrates the use of a two-component error model in setting limits of detection and related concepts and introduces two goodness-of-fit statistics for assessing the appropriateness of the model for the data at hand. The model is applicable to analytical methods in which high concentrations are measured with approximately constant relative standard deviation. At low levels, the relative standard deviation cannot stay constant, since this implies vanishingly small absolute standard deviation. The two-component model has approximately constant standard deviation near zero concentration, and approximately constant relative standard deviation at high concentrations, a pattern that is frequently observed in practice. Here we discuss several important applications of the model to environmental monitoring and also introduce two goodness-of-fit statistics, to ascertain whether the data exhibit the error structure assumed by the model, as well as to look for problems with experimental design.

Original language | English (US) |
---|---|

Pages (from-to) | 197-208 |

Number of pages | 12 |

Journal | Analytica Chimica Acta |

Volume | 509 |

Issue number | 2 |

DOIs | |

State | Published - May 3 2004 |

### Fingerprint

### Keywords

- Chemical analytical error
- Goodness-of-fit
- Limits of detection
- Two-component error model

### ASJC Scopus subject areas

- Biochemistry
- Analytical Chemistry
- Spectroscopy
- Environmental Chemistry

### Cite this

*Analytica Chimica Acta*,

*509*(2), 197-208. https://doi.org/10.1016/j.aca.2003.12.047

**Detection limits and goodness-of-fit measures for the two-component model of chemical analytical error.** / Wilson, Machelle D.; Rocke, David M; Durbin, Blythe; Kahn, Henry D.

Research output: Contribution to journal › Article

*Analytica Chimica Acta*, vol. 509, no. 2, pp. 197-208. https://doi.org/10.1016/j.aca.2003.12.047

}

TY - JOUR

T1 - Detection limits and goodness-of-fit measures for the two-component model of chemical analytical error

AU - Wilson, Machelle D.

AU - Rocke, David M

AU - Durbin, Blythe

AU - Kahn, Henry D.

PY - 2004/5/3

Y1 - 2004/5/3

N2 - The utility of analytical chemistry measurements in most applications is dependent on an assessment of measurement error. This paper demonstrates the use of a two-component error model in setting limits of detection and related concepts and introduces two goodness-of-fit statistics for assessing the appropriateness of the model for the data at hand. The model is applicable to analytical methods in which high concentrations are measured with approximately constant relative standard deviation. At low levels, the relative standard deviation cannot stay constant, since this implies vanishingly small absolute standard deviation. The two-component model has approximately constant standard deviation near zero concentration, and approximately constant relative standard deviation at high concentrations, a pattern that is frequently observed in practice. Here we discuss several important applications of the model to environmental monitoring and also introduce two goodness-of-fit statistics, to ascertain whether the data exhibit the error structure assumed by the model, as well as to look for problems with experimental design.

AB - The utility of analytical chemistry measurements in most applications is dependent on an assessment of measurement error. This paper demonstrates the use of a two-component error model in setting limits of detection and related concepts and introduces two goodness-of-fit statistics for assessing the appropriateness of the model for the data at hand. The model is applicable to analytical methods in which high concentrations are measured with approximately constant relative standard deviation. At low levels, the relative standard deviation cannot stay constant, since this implies vanishingly small absolute standard deviation. The two-component model has approximately constant standard deviation near zero concentration, and approximately constant relative standard deviation at high concentrations, a pattern that is frequently observed in practice. Here we discuss several important applications of the model to environmental monitoring and also introduce two goodness-of-fit statistics, to ascertain whether the data exhibit the error structure assumed by the model, as well as to look for problems with experimental design.

KW - Chemical analytical error

KW - Goodness-of-fit

KW - Limits of detection

KW - Two-component error model

UR - http://www.scopus.com/inward/record.url?scp=1542404591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1542404591&partnerID=8YFLogxK

U2 - 10.1016/j.aca.2003.12.047

DO - 10.1016/j.aca.2003.12.047

M3 - Article

AN - SCOPUS:1542404591

VL - 509

SP - 197

EP - 208

JO - Analytica Chimica Acta

JF - Analytica Chimica Acta

SN - 0003-2670

IS - 2

ER -