Role of X-axis uncertainties on standard curves

Michael L. Johnson

doi:10.1117/12.206021

3 April 1995 Role of X-axis uncertainties on standard curves

Michael L. Johnson

Proceedings Volume 2386, Ultrasensitive Instrumentation for DNA Sequencing and Biochemical Diagnostics; (1995) https://doi.org/10.1117/12.206021
Event: Photonics West '95, 1995, San Jose, CA, United States

Abstract

The commonest method for the determination of standard curves is to use a least-squares technique to fit a function to a set of standard data. This fitted curve is then used to interpolate values from the standard curve. The problem addressed is that the standard data used for this process will usually contain experimental uncertainties in the X-axis (the independent variable) and in the Y-axis (dependent variable). When such X-axis uncertainties exist in the data it is statistically invalid to apply a least-squares procedure to evaluate the coefficients of the standard curve. This statistical invalidity generally cannot be corrected by the application of an `appropriate weighting factor.' However, a simple maximum likelihood procedure can be used to correctly consider the uncertainties in both the X-axis and Y-axis.

Citation Download Citation

Michael L. Johnson "Role of X-axis uncertainties on standard curves", Proc. SPIE 2386, Ultrasensitive Instrumentation for DNA Sequencing and Biochemical Diagnostics, (3 April 1995); https://doi.org/10.1117/12.206021

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