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Areas Under the Regression Curves
Teaching Statistics, 1982Herbert C. Rutemiller, Ronald C. Suich
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Area under a Curve: Trapezoidal and Simpson’s Rules
1987Simpson’s rule is a method for evaluating the area under a curve from values of the ordinate and the abscissa. Thus, this method accomplishes the same objective as that of the trapezoidal rule (discussed subsequently). It may be shown, however, that Simpson’s rule gives a closer approximation to the area, than does the trapezoidal rule.
Ronald J. Tallarida, Rodney B. Murray
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Graefe's Archive for Clinical and Experimental Ophthalmology, 2020
Alexander D. Port+5 more
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Alexander D. Port+5 more
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Approximation of Area Under a Curve: A Conceptual Approach
The Mathematics Teacher, 1987The need to find the area under a curve occurs in a large number of applications of mathematics from physics (work, mechanical and electric potentials, entropy, etc.), to probability (average, expectation, and variance of continuous probability distributions), to the biological and social sciences, Newton invented the definite integral for the express ...
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The area under a curve specified by measured values
Metrologia, 2007The problem is addressed of determining numerical approximations to the area under a curve specified by arbitrarily spaced data. A formulation of this problem is given in which the data are used to model the curve as a piecewise polynomial, each piece having the same degree. That piecewise function is integrated to provide an approximation to the area.
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Area under the curve, bioavailability, and clearance
Journal of Pharmacokinetics and Biopharmaceutics, 1991James S. Beck+2 more
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Statistical Methods in Medical Research, 2018
Liang Li, T. Greene, Bo Hu
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Liang Li, T. Greene, Bo Hu
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