Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting

By H. Motulsky, Arthur Christopoulos. 2004

2,443 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a95cfd8b4b3838f5535dfa77f627a50a974315d4

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Citations in the corpus

Movement Timing and Invariance Arise from Several Geometries (2009, methodology): “For this comparison we used the standard Akaike criterion AIC [45].”
Seasonal Changes in Condition Factor and Weight-Length Relationship of Invasive Carassius gibelio (Bloch, 1782) from Leszczynskie Lakeland, Poland (2014, methodology): “The method is also called the extra-sum-of-squares F-test [26].”
Predicting Hot Spots of Herpetofauna Road Mortality Along Highway Networks (2009, methodology): “We evaluated relative fit of models using an information–theoretic approach to model selection based on Akaike’s Information Criterion adjusted for small sample size (AICc; see Burnham and Anderson 1998, Motulsky and Christopoulos 2004).”
The brainstem reticular formation is a small-world, not scale-free, network (2006, methodology): “The goodness-of-fit for each of the model curves was quantified using (corrected) Akaike's information criterion (AIC c ; Motulsky & Christopoulos 2004), an information-theoretic score which accounts for the different number of coefficients in the fitted curves.”
Systematic review and meta-analysis of psychological therapies for children with chronic pain. (2014, methodology): “Treatment dose was reported in 28 studies (M¼ 5 hrs, 42 min, range¼ 45 min to 12 hrs, 5 min; Table I).”
Dose-Dependent Media Priming Effects of Stereotypic Newspaper Articles on Implicit and Explicit Stereotypes (2013, methodology): “Thus, a high p-value is desired (see Motulsky & Christopoulos, 2004).”
Toward a unified approach to dose–response modeling in ecotoxicology (2010, methodology): “described recently [22,56], lack-of-fit tests are available, simultaneous fitting of several curves [39], estimation and comparison of arbitrary ED levels, and convenient plotting functionality.”
Artificial Intelligence in Healthcare: Review and Prediction Case Studies (2020, methodology): “We used the bisquare robust fitting method to compute ci and minimize the impact of the outlier values [105].”
Soil microbes drive the classic plant diversity-productivity pattern. (2011, background): “If the difference in AIC between several models was ,2, then those models were considered not significantly different from each other (Motulsky and Christopoulos 2004).”
Linear vs. quadratic discriminant analysis classifier: a tutorial (2016, background): “…the literature such as neural networks (NN) (Specht, 1990), linear regression (Montgomery et al., 2012; Seber and Lee, 2012), nonlinear regression (Motulsky and Christopoulos, 2004; Hahne et al., 2014), classification and regression trees (Loh, 2011), and discriminant analysis (DA) classifier…”
Density-dependent growth of young-of-the-year Atlantic salmon Salmo salar in Catamaran Brook, New Brunswick (2005, methodology): “To explore whether a straight line or a negative power curve was a better descriptor of the fork length–density relationship, we computed the Akaike information criterion (AIC, Motulsky & Christopoulos 2004) for each model.”
Leaf Mass Loss Estimated by Litter Bag Technique (2005, methodology): “Thus, linearizing transformations is not an ideal procedure because it distorts experimental errors (Motulsky & Ransnas 1987, Motulsky & Christopoulos 2003 ).”