MATLAB CURVE FITTING TOOLBOX - RELEASE NOTES User's Guide download pdf (Page 73)

Excluding and Sectioning Data

2-39

3 Fit the entire data set using the fitted coefficient values from the previous

step as starting values.

The Fitting GUI, Fit Options GUI, and Curve Fitting Tool are shown below.

Both the numerical and graphical fit results indicate a reasonable fit.

The coefficient starting values are

given by the previous fit results.

1 2 ... 68 69 70 71 72 73 74 75 76 77 78 ... 215 216

Curve Fitting 1
How to Contact The MathWorks: 2
Contents 3
Preface 10
Related Products 10
Using This Guide 11
Installation Information 13
Typographical Conventions 14
Getting Started with the 15
Curve Fitting Toolbox 15
Importing the Data 17
Create data set 18
Fitting the Data 19
Copy Fit 20
Determining the Best Fit 22
Tools->Axes Limit Control 24
Table of Fits 25
Saving the Fit Results 27
Analyzing the Fit 29
Saving the Analysis Results 30
Saving Your Work 31
Saving the Session 32
Generating an M-File 33
Importing, Viewing, and 35
Preprocessing Data 35
Importing Data Sets 36
Data Sets List 37
Data Import Process 38
Create data set button 39
Viewing Data 40
Viewing Data Numerically 42
Smoothing Data 43
Data sets 44
Data sets list 44
Smoothing method 44
Data Sets 45
Moving Average Filtering 46
Lowess Smoothing 50
Robust Smoothing Procedure 51
Robust Lowess Smoothing 52
Savitzky-Golay Filtering 53
Savitzky−Golay Smoothing 54
Example: Smoothing Data 55
View button 56
Saving the Results 58
Excluding and Sectioning Data 59
Exclusion Rule 60
Marking Outliers 61
Influential Data Points 63
Sectioning 64
Check to 66
Data points outside the 68
Individual data points 68
Viewing the Exclusion Rule 69
applied 72
Infs, NaNs, and outliers 74
The Fitting Process 78
2 Select an exclusion rule 79
4 Compare fits 79
5 Save the fit results 79
Normal Distribution 81
Zero Mean 81
Constant Variance 81
Linear Least Squares 82
Weighted Linear Least Squares 85
Robust Least Squares 87
Nonlinear Least Squares 90
Library Models 92
Gaussian 93
Polynomials 93
Power Series 94
Rationals 95
Sum of Sines 95
Custom Equations 96
Linear Equations 97
General Equations 98
Specifying Fit Options 99
3 Fitting Data 100
Fitting Method and Algorithm 100
Fit Convergence Criteria 100
Coefficient Parameters 101
Residuals 103
Fitting Data 104
Goodness of Fit Statistics 105
Results list box in the 106
Table of fits 106
Parametric Fitting 107
View->Confidence Level 110
View->Residuals menu item 113
Example: Rational Fit 117
Tools->Custom Equation 122
New Equation button 122
Example: Robust Fit 137
Nonparametric Fitting 144
Smoothing Spline 146
Apply button 149
Selected Bibliography 151
Function Reference 153
4 Function Reference 154
Functions – By Category 154
Postprocessing Data 155
General Purpose 155
Functions – Alphabetical List 156
Syntax cflibhelp 158
Arguments 158
Description 158
See Also cfit, fit, fittype 159
Syntax cftool 160
The Data GUI 162
The Fitting GUI 163
The Exclude GUI 164
The Plotting GUI 164
The Analysis GUI 165
Syntax ci = confint(fresult) 166
See Also fit 167
Syntax xds = datastats(xdata) 168
See Also cfit, fit, integrate 171
Syntax obj 172
See Also fit, fittype 177
Syntax opts = fitoptions 182
Additional Fit Options 184
4integrate 193
Plot the residuals 197
, plot (built-in), subplot 198
See Also confint, fit 201
Syntax set(opts) 202
See Also fitoptions, get 203
Syntax yy = smooth(ydata) 204
See Also fit, sort 208
Numerics 209
Infs, NaNs, and outliers 2-41 215

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MATLAB CURVE FITTING TOOLBOX - RELEASE NOTES User's Guide Page 73

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