Rasmus Bro & Claus A. Andersson
The N-way toolbox provides means for
Fitting multi-way PARAFAC models
Fitting multi-way PLS regression models
Fitting multi-way Tucker models
Fitting the generalized rank annihilation method
Fitting the direct trilinear decomposition
Fitting models subject to constraints on the parameters such as e.g. nonnegativity, unimodality, orthogonality
Fitting models with missing values (using expectation maximization)
Fitting models with a weighted least squares loss function (including MILES)
Predicting scores for new samples using a given model
Predicting the dependent variable(s) of PLS models
Performing multi-way scaling and centering
Performing cross-validation of models
Calculating core consistency of PARAFAC models
Using additional diagnostic tools to evaluate the appropriate number of components
Perform rotations of core and models in Tucker models
Plus additional utility functions
In addition to the N-way toolbox, you can find a number of other multi-way tools on this site including PARAFAC2, Slicing (for exponential data such as low-res NMR), GEMANOVA for generalized multiplicative ANOVA, MILES for maximum likelihood fitting, conload for congruence and correlation loadings, eemscat for scatter handling of EEM data, clustering for multi-way clustering, indafac for PARAFAC, PARALIND for constrained PARAFAC models, jackknifing for PARAFAC.
The N-way toolbox for MATLAB is freely available
Read the information on this page and download the files to your own computer.
The older version of N-way toolbox for MATLAB (version 1.xx) has been developed for MATLAB version 4.2 and 5.x and 6.x. Version 2 will function under MATLAB version 5.x and 6.x. Version 3 works under MATLAB version 7.x
If you use the N-way toolbox for MATLAB we would appreciate a reference to the toolbox. This may for example be Claus A Andersson, Rasmus Bro, The N-way Toolbox for MATLAB, Chemometrics and Intelligent Laboratory Systems, 52 (1(, 2000, 1-4, https://doi.org/10.1016/S0169-7439(00)00071-X
The paper is included in the download.
Download the N-way Toolbox
The N-way Toolbox for MATLAB (most recent version 3.50, Sept 2023)
Learn to use the N-way Toolbox
You can learn to use the toolbox from the WWW-based interactive courses: Internet-based MATLAB courses in multi-way analysis
The success of the N-way Toolbox relies on feedback from many users. In this regard we wish to acknowledge Christian Zacchariassen, Jostein Risa, Paul Gemperline, Urban Wünsch, Thomas Cullen and numerous others for their elaborate and precise comments.