ThreeMode Abstracts, Part U
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Ua  Ub 
Uc  Ud 
Ue  Uf 
Ug  Uh 
Ui  Uj 
Uk  Ul 
Um  Un 
Uo  Up 
Uq  Ur 
Us  Ut 
Uu  Uv 
Uw  Ux 
Uy  Uz 


Ullrich, J.R., & Wilson, R.E. (1993).
A note on the exact number of two and threeway tables
satisfying conjoint measurement and additivity axioms. Journal
of Mathematical Psychology, 37, 624628.
A technique for enumerating and counting the number of two and threeway tables
which satisfy polynomial measurement test and additivity tests is presented. The
coutning technique reveals that the number of tables which satisfy all the
constraints is very small relative to the number of possible tables.

Undey, C., Ertunc, S. & Cinar, A. (2003).
Online batch/fedbatch process performance monitoring, quality prediction, and
variablecontribution analysis for diagnosis.
Industrial & Engineering Chemistry Research, 42, 46454658.
An integrated online multivariate statistical process monitoring (MSPM), quality
prediction, and fault diagnosis framework is developed for batch processes.
Batch data from I batches, with J process variables measured at K time points
generate a threeway array of size I x K x J. Unfolding this threeway array into
a twoway matrix of size IK x J by preserving the variable direction is advantageous
for developing online MSPM methods because it does not require estimation of
future portions of new batches. Two different multiway partial least squares
(MPLS) models are developed. The first model (MPLSV) is developed between the
data matrix (IK x J) and the local batch time (or an indicator variable) for
online MSPM. The second model (MPLSB) is developed between the rearranged data
matrix in the batch direction (I x KJ) and the final quality matrix for online
prediction of endofbatch quality. The problem of discontinuity in process variable
measurements due to operation switching (or moving to a different phase) that
causes problems in alignment and modeling is addressed. Control limits on variable
contribution plots are used to improve fault diagnosis capabilities of the MSPM
framework. Case studies from a simulated fedbatch penicillin fermentation illustrate
the implementation of the methodology.
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Pedagogiek 
Centre for Child and
Family Studies 
Education and Child Studies

The ThreeMode Company 
ThreeMode bibliography

P.M. Kroonenberg
Education and Child Studies, Leiden University
Wassenaarseweg 52, 2333 AK Leiden, The Netherlands
Tel. *31715273446/5273434 (secr.); fax *31715273945
Email:
kroonenb@fsw.leidenuniv.nl
First version : 12/02/1997;