DATA ANALYSIS PACKAGE SYMBOL

# EffectiveVarianceFit

EffectiveVarianceFit[{{x11,x12,,y1},{x21,x22,,y2},},{{sx11,sx12,,sy1},{sx21,sx22,,sy2},},form,{β1,},{x1,},i]
constructs a nonlinear model with structure form where form depends on variables xi using the parameters βi. An effective variance technique is used to fit the data using errors sxij and syj in the data points xij and yj using i iterations.

EffectiveVarianceFit[datatable,form,{β1,},{x1,},i]
constructs a nonlinear model with structure form where form depends on variables xi using the parameters βi. An effective variance technique is used to fit the values and errors in the DataTable using i iterations.

## DetailsDetails

• The EffectiveVarianceFit accounts for uncertainties in both the variables xi and yi using an effective variance technique, which is calculating the weights and variances of each data point by including the partial derivaties function with respect to each variable, and iteratively calculating the resulting fit.
• EffectiveVarianceFit takes the same options as NonlinearModelFit.

## ExamplesExamplesopen allclose all

### Basic Examples  (1)Basic Examples  (1)

Define some data:

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Calculate the effective variance fit:

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Compare to a NonlinearModelFit:

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Plot the results:

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