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Kroonenberg, P.M.

Kroonenberg, P.M.

Pieter Kroonenberg, born in Leiden, the Netherlands, in 1949. Ph.D. from Leiden University. Associate Professor at the Department of Education at Leiden University.

Fellow (1 September 2003 – 30 June 2004)

APPLIED THREE-MODE ANALYSIS: AN OVERVIEW OF THE PRACTICE AND INTERPRETATION OF THE EXPLORATORY ANALYSIS OF THREE-MODE DATA

My year at NIAS was primarily devoted to writing a number of chapters for a book on The Practice of Three-Mode Analysis. In the period, six chapters were written covering such topics as (i) model selection, (ii) ways and means to process data so that they would be fit for a three-mode analysis, (iii) how to interpret the outcomes of a three-mode analysis, (iv) methods to facilitate interpretation via rotations of the components, (v) possibilities for displaying the results of analyses so that a better insight can be obtained in the outcomes and so that they can be more easily understood and visualised, (vi) measurement of the quality of analyses via examination of deviations between the data and their estimated values based on the model parameters, and via evaluation of possible outliers, (vii) assessment of the robustness of the results against small deviations in the data. I had written several other chapters before coming to NIAS and, in order to complete the book, another three to four chapters still have to be finalised. I hope to have drafts available before the year is out. The groundwork for several of these chapters has already been done at NIAS. Apart from the chapters mentioned, a number of other papers were written, some partially based on available chapters. A foray was made into the study of the use multivariate data analysis in the humanities.