Journal article
On the analysis of straight line data in pharmacology and biochemistry
Journal of theoretical biology, v 93(4), pp 867-879
1981
PMID: 7341880
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
The determination of drug potency, efficacy and receptor affinity constants, common calculations in pharmacology and biochemistry, require estimates of the slope and intercept of a linear regression line obtained from measured points (
x
i
,
y
i
). Three questions not
explicitly covered in the basic statistical literature and, consequently, answered differently by scientists, arise often. (1) When there exist several
y's corresponding to each value of the controlled parameter
x, should all of these be used as points or only their average value at that
x in constructing the line? (2) What are precise confidence limits of an abscissa corresponding to a specified ordinale? (3) What are confidence limits for the intercepts of a regression line whose slope is constrained to +1 or -1? In this paper we show that
all the data should be used (question 1) and provide derivations for the formulas used to get the confidence limits mentioned in questions (2) and (3).
Metrics
Details
- Title
- On the analysis of straight line data in pharmacology and biochemistry
- Creators
- Robert C. Busby - Drexel UniversityRonald J. Tallarida - Temple University
- Publication Details
- Journal of theoretical biology, v 93(4), pp 867-879
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1981MW34500011
- Scopus ID
- 2-s2.0-0019809637
- Other Identifier
- 991019174605304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Biology
- Mathematical & Computational Biology