KNOWLEDGEBASE - ARTICLE #1623

Advantages of using Prism's nonlinear regression analysis to fit straight lines

 Linear regression is just a simpler, special, case of nonlinear regression. The calculations are a bit easier (but that only matters to programmers). You can use Prism's nonlinear regression analysis to fit a straight-line model, and the results will be identical to linear regression. 

Here are some options that Prism offers with nonlinear regression, but not linear regression

  • Fit to both a linear and nonlinear model, and compare the two models.
  • Apply differential weighting.
  • Identify, and possibly exclude, outliers.
  • Use a robust fitting method.
  • Perform a normality test on the residuals.
  • Inspect the correlation matrix and the dependency of each parameter. 
  • Compare the scatter of points from the line with the scatter among replicates with the replicates test.
  • Enter data as mean, SD (or SEM) and n, and have Prism take the SD and n into account when fitting the line. With linear regression, Prism only fits the means and ignores the values you entered for SD (or SEM) and n.
  • Segmental linear regression.
  • Test whether the best-fit value of the slope differs significantly from 1.0 (or any other value).
  • Report the best-fit values with 90% confidence limits (or any others). Linear regression only reports 95% CI; nonlinear lets you choose the confidence level you want.
  • Report the results of interpolation from the line/curve along with 95% confidence intervals of the predicted values.
  • With linear regression, the SE of the slope is always reported with the slop as a plus minus value. With nonlinear regression, the SE values are a separate block of results that can be copy and pasted elsewhere.
  • Use global nonlinear regression to fit one line to several data sets. 

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