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Papers by Koen Van de moortel

Short english summary: The situation of the flemish/dutch language (spoken in Flanders (Northern ... more Short english summary:
The situation of the flemish/dutch language (spoken in Flanders (Northern belgium)/The Netherlands) is bad:
- A lot of the original beautififul, and especially in flemish, baroque expression are disappearing because local language ("dialects") is labeled as bad by the language elite.
- Especially the business and advertising world pollute the language with lots of unnecessary english, mainly for reasons of laziness and snobism.
- Since 1996 the spelling rules have been made ridiculously stupid by what seems to be a group of incompetent sadists.

Two methods for finding the "best" curve fitting through a set of data points are evaluated here:... more Two methods for finding the "best" curve fitting through a set of data points are evaluated here: "multidirectional" and "ordinary" least squares regression (MDLS and OLS). The same artificial datasets with several amplitudes of generated noise were fed to both algorithms and the results were compared.

Non-linear regression -Why you shouldn't take the logarithms of your variables, 2021

For non-linear regression, often the logarithms of the variables are taken, to reduce the problem... more For non-linear regression, often the logarithms of the variables are taken, to reduce the problem to a linear regression.
With some examples, I explain you why this is not such a good idea.

Teaching Documents by Koen Van de moortel

Woordenschat, voedselbudget en logaritmen, 2023

Wat hebben de woordenrijkdom van een schrijver en iemands budget besteed aan voedsel met mekaar t... more Wat hebben de woordenrijkdom van een schrijver en iemands budget besteed aan voedsel met mekaar te maken? Wel, meer dan u zou denken! Het wiskundig verband verband blijkt logaritmisch te zijn.
Deze tekst zal een stukje zijn in mijn volgend (Engelstalig) boek i.v.m. regressie.
Trefwoorden: #regressie #logaritme #Heap #woordenschat

FittingKVdm 1.4 - introduction video, 2023

FittingKVdm is a windows software program for regression analysis, with an improved algorithm. S... more FittingKVdm is a windows software program for regression analysis, with an improved algorithm.
See: www.lerenisplezant.be/fitting.htm
#regression #analysis #mathematical #modeling #software #curve #fitting

FittingKVdm 1.14 has been released! There are many software programs that do regression analysis ... more FittingKVdm 1.14 has been released!
There are many software programs that do regression analysis (curve fitting), BUT only this one makes optimal use of the symmetry whenever dependent and independent variables can be switched! This will definitely improve your scientific modeling or calibration work! And in most cases it will estimate good initial parameters to iterate with, which saves you a lot of time and effort. It comes with many real life educational datasets. Try it for free!
I will welcome your comments and suggestions for further improvements.
#Mathematics #Modeling #Regression #Analysis #CurveFitting #LeastSquares #software
www.lerenisplezant.be/fitting.htm

Another example why multidirectional regression is better than OLS: the 2022 Eurovision Song Contest points., 2022

This real life example shows why Multidirectional regression is better than the classical method ... more This real life example shows why Multidirectional regression is better than the classical method (OLS): it treats the so-called independent and dependent variables equally.

Does a person unconsciously improve his psychomotor while performing a simple task like throwing ... more Does a person unconsciously improve his psychomotor while performing a simple task like throwing a pebble? Apparently he/she does, at least with our test person. The hypothesis was tested with 3 different methods: comparing averages, Kendall's tau, and regression.

FittingKVdm-Manual version 1.2, 2022

Regression analysis software manual with many real life examples.

FittingKVdm 1.1 manual, 2021

FittingKVdm is a revolutionary software program for regression analysis (curve fitting). Why rev... more FittingKVdm is a revolutionary software program for regression analysis (curve fitting). Why revolutionary? It uses a new algorithm called "Multidirectional Regression Analysis" which produces much more reliable results, especially with power functions (very often used in biomedical research). It can be tried for free.

FittingKVdm 1.1 software manual, 2021

FittingKVdm is a Windows software program for regression analysis (curve fitting), but not like a... more FittingKVdm is a Windows software program for regression analysis (curve fitting), but not like all the others! It has an improved algorithm, as explained in this manual. It's easy to use and well suited for educational purposes, with real life experiment examples, but of course it can be used professionally in many research fields.

Drafts by Koen Van de moortel

The Body Mass Index recalculated, 2022

The so-called ‘least squares regression’ for mathematical modeling is a widely used technique. I... more The so-called ‘least squares regression’ for mathematical modeling is a widely used technique. It’s so common that one might think nothing could be improved to the algorithm anymore. But it can. By minimizing the squares of the differences between measured and predicted values not only in the vertical, but also in the horizontal direction. I call this ‘multidirectional regression’. The difference is very significant, especially for power function models, often used in biomedical sciences. And it makes the regression invariant if the dependent and independent variables are switched. This was a neglected problem with the traditional method. The Body Mass Index and the Corpulence Index and their correlation with body fat percentage are studied here as an example showing that this regression technique produces better results.