Fitting models to biological data using linear and nonlinear regression : a practical guide to curve fitting / Harvey Motulsky & Arthur Christopoulos.

• Fitting data with nonlinear regression -- Clarify your goal. Is nonlinear regression the appropriate analysis? -- Prepare your data and enter it into the program -- Choose your model -- Decide which model parameters to fit and which to constrain -- Choose a weighting scheme -- Choose initial values -- Perform the curve fit and interpret the best-fit parameter values -- Preparing data for nonlinear regression -- Avoid Scatchard, Lineweaver-Burk, and similar transforms whose goal is to create a straight line -- Transforming X values -- Don't smooth your data -- Transforming Y values -- Change units to avoid tiny or huge values -- Normalizing -- Averaging replicates -- Consider removing outliers -- Nonlinear regression choices -- Choose a model for how Y varies with X -- Fix parameters to a constant value? -- Initial values -- Weighting -- Other choices -- The first five questions to ask about nonlinear regression results -- Does the curve go near your data? -- Are the best-fit parameter values plausible? -- How precise are the best-fit parameter values? -- Would another model be more appropriate? -- Have you violated any of the assumptions of nonlinear regression? -- The results of nonlinear regression -- Confidence and prediction bands -- Correlation matrix -- Sum-of-squares -- R[superscript 2] (coefficient of determination) -- Does the curve systematically deviate from the data? -- Could the fit be a local minimum? -- Troubleshooting "bad" fits -- Poorly defined parameters -- Model too complicated.

Ämnesord

Regression analysis.  (LCSH)

Nonlinear theories.  (LCSH)

Curve fitting.  (LCSH)

Biology  -- Mathematical models. (LCSH)

Models, Biological.  (MeSH)

Regression Analysis.  (MeSH)

Nonlinear Dynamics.  (MeSH)

Analyse de régression.  (Vedettes-matière)

Théories non linéaires.  (Vedettes-matière)

Ajustement de courbe.  (Vedettes-matière)

Biologie  -- Modèles mathématiques. (Vedettes-matière)

Biologie.  (swd)

Biostatistik.  (swd)

Experimentauswertung.  (swd)

Lineare Regression.  (swd)

Nichtlineare Regression.  (swd)

Klassifikation

QH323.5 (LCC)

570/.1/5118 (DDC)

BIO 110f (stub)

MAT 628f (stub)

WC 7000 (rvk)

Ue:d (kssb/8 (machine generated))