Publisher review:MyRegressionINV - Resolve a calibration problem that is: to estimate mean value and confidence interval of x since y MYREGRINV: Resolve a calibration problem (inverse regression problem) that is: to estimate mean value and confidence interval of x since y.
This function computes a least-square linear regression using the supplied calibration points and then computes the X values for a supplied y observed vector. This routine use MYREGR function.References:Sokal R.R. and Rohlf F.J. 2003 BIOMETRY. The Principles and Practice of Statistics in Biological Research (3rd ed., 8th printing, Freeman and Company, New York, XIX 887 p.) pag. 491 - 493.Syntax: x=myregrinv(xc,yc,yo)Inputs:xc - Array of the independent variable of calibration lineyc - Array of the dependent variable of calibration lineyo - Array of the observed dependent variable of unknown samplesOutputs:- All the outputs of MYREGR function- Limit of detection (lod)- Limit of quantification (loq)- independent variable of unknown samples with 95% C.I.Example:xc = 0:2:12;yc = [1.2 5 9 12.6 17.3 21 24.7];yo = [6 22];Calling on Matlab the function: x=myregrinv(xc,yc,yo)Answer is:(...) All the outputs of MYREGR function calibration plotLimit of detection: 1.6194Limit of quantification: 2.8315Inverse Prediction ValuesY X ± f 95% C.I.6.0000 2.4765 ± 0.3699 2.1067 2.846422.0000 10.5632 ± 0.3808 10.1824 10.9440 Requirements: · MATLAB Release: R2006b · Statistics Toolbox
MyRegressionINV is a Matlab script for Statistics and Probability scripts design by Giuseppe Cardillo.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris
MyRegressionINV script details 
