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### Highlights from Goodness of Fit (Modified)

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# Goodness of Fit (Modified)

### Richard Crozier (view profile)

07 Nov 2008 (Updated )

Computes goodness of fit for regression model given matrix/vector of target and output values.

File Information
Description

GFIT2 Computes goodness of fit for regression model

USAGE:
[gf] = gfit2(t,y)
[gf] = gfit2(t,y,gFitMeasure)
[gf] = gfit2(t,y,gFitMeasure,options)

INPUT:
t: matrix or vector of target values for regression model
y: matrix or vector of output from regression model.
gFitMeasure: a string or cell array of string values representing
different form of goodness of fit measure as follows:

'all' - calculates all the measures below
'1' - mean squared error (mse)
'2' - normalised mean squared error (nmse)
'3' - root mean squared error (rmse)
'4' - normalised root mean squared error (nrmse)
'5' - mean absolute error (mae)
'6' - mean absolute relative error (mare)
'7' - coefficient of correlation (r)
'8' - coefficient of determination (d)
'9' - coefficient of efficiency (e)
'10' - maximum absolute error
'11' - maximum absolute relative error

options: a string containing other output options, currently the only option is verbose output.

'v' - verbose output, posts some text output for the
chosen measures to the command line

OUTPUT:

gf: vector of goodness of fit values between model output and target for each of the strings in gFitMeasure

EXAMPLES

gf = gfit2(t,y); for all statistics in list returned as vector

gf = gfit2(t,y,'3'); for root mean squared error

gf = gfit2(t,y, {'3'}); for root mean squared error

gf = gfit2(t,y, {'1' '3' '9'}); for mean squared error, root mean
| squared error, and coefficient of
\|/ efficiency
gf = [mse rmse e]

gf = gfit2(t,y,'all','v'); for all statistics in list returned as
vector with information posted to the
command line on each statistic

gf = gfit2(t,y, {'1' '3' '9'}, 'v'); for mean squared error, root
mean squared error, and
coefficient of efficiency as a
vector with information on each
of these also posted to the
command line

Acknowledgements

Goodness Of Fit inspired this file.

This file inspired Gapolyfitn.

MATLAB release MATLAB 7.2 (R2006a)
24 Aug 2014 Ricardo

### Ricardo (view profile)

Very useful and well written function. Thanks.

08 Mar 2010 Andre Guy Tranquille

27 Oct 2009 Ben

### Ben (view profile)

24 Nov 2008 David Yeo

### David Yeo (view profile)

Thank you. !!

07 Nov 2008 1.1

Fixed some bugs and spelling mistakes in comments, and added new output option.

21 Nov 2008 1.2

Changed output for gfit2(t,y) now returns all available statistics as a vector rather than just the mean squared error (choice 1). Also made minor changes to comments and help section.

24 Nov 2008 1.7

Actually uploaded new file this time, managed to forget to on last update.

01 Jul 2009 1.8

Added a verbose option to return some information to the command line