What Can Be Detected?

  • W. L. Nicholson
Part of the Developments in Applied Spectroscopy book series (DAIS, volume 6)


The characteristics of an analytical method are dynamic. The state of the apparatus and of the operator, the laboratory environment, and the level and type of contaminants present in the sample are examples of such characteristics. Detectability, which concerns functioning of an analytical method near its natural limit of sensitivity, is particularly dependent on dynamic characteristics. At the instant of analysis, past history only determines these characteristics in a frequency sense. Probability theory provides a tool for deciding what can be detected by using frequency-type information to define the characteristics of the analytical method.


Background Distribution Minimum Detectable Concentration Sample Count True Concentration Detection Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    J. Neyman and E.S. Pearson, “On the use and interpretation of certain test criteria for purposes of statistical inference,” Biometrika, 20A:175–240; 20A:263-.294 (1928).Google Scholar
  2. 2.
    W.J. Dixon and F.J. Massey, Introduction to Statistical Analysis, McGraw-Hm, New York (1957).Google Scholar
  3. 3.
    W. Allen Wallis and Harry V Roberts, Statisticss A New Approach, Macmillan, New York (1956).Google Scholar
  4. 4.
    John E. Freund, Modern Elementary Statistics, 2nd Ed., Prentice-Hall, Englewood Cliffs, N.J. (1960).Google Scholar
  5. 5.
    E.L. Lehmann, Testing Statistical Hypotheses, Wiley, New York (1959).Google Scholar
  6. 6.
    W.L. Nicholson, “Fixed time estimation of counting rates with background corrections,” HW-76297 (1963).CrossRefGoogle Scholar
  7. 7.
    W. L. Nicholson, “Statistics of net-counting-rate estimation with dominant background corrections,”j Nucleonics, August 1966Google Scholar

Copyright information

© Chicago Section of the Society for Applied Spectroscopy 1968

Authors and Affiliations

  • W. L. Nicholson
    • 1
  1. 1.Mathematics DepartmentBattelle Memorial Institute Pacific Northwest LaboratoryRichlandUSA

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