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Selection of optimal model for the DNA histogram by analysis of error of estimated parameters

T Lindmo and E Aarnaes

The ability of four different mathematical models of the DNA histogram to give accurate estimates for the fractions of cells in G1, S, and G2 + M has been investigated. The models studied differ in the form and number of parameters of the function used to represent cells in S- phase. Results obtained from simulated DNA histograms suggest that the standard deviations of the model parameters increase exponentially with the width of the G1 and G2 + M peaks of the histogram. Error analysis is presented as a method to select a model of optimal complexity in relation to the resolution provided by the data in a given set of DNA histograms. Introduction of additional parameters improves the agreement between model and data but may result in a less well-posed model. A model with an optimal number of parameters can therefore be found that will yield parameter estimates with the smallest possible standard deviations.

Volume 27, Issue 1, pp. 297-304, 01/01/1979
Copyright © 1979 by The Histochemical Society


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The Journal of Histochemistry & Cytochemistry is owned, published, and licensed by The Histochemical Society © 1979