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Applied Multivariate Analysis

Vak 2012-2013

Admission requirements

Master’s students Psychology with specialisation Methodology and Statistics.

Description

In this course the general focus is on nonparametric multivariate analysis. In the first part of the course a review on null hypothesis significance testing procedures is given that identifies several statistical and interpretation difficulties concerning these procedures and p-values. Alternatives are presented for alleviating these problems, like cross validation, bootstrapping, permutation testing, and the Bayes factor.

In the second part, the focus is on two major methods for multivariate analysis, multiple regression analysis (MR) and principal component analysis (PCA). Classical MR and PCA are applicable to quantitative data and rely on assumptions of normality and linear relationships. More general methods, CATREG and CATPCA, will be discussed, that can handle both quantitative and qualitative data and do not rely on normality and linearity assumptions.

The third part of the course consists of multidimensional scaling. In the first meeting, some historical aspects concerning classical and least squares scaling, the specific data requirements, and the taxonomy of models are discussed. In the final two meetings, one mode models (PROXSCAL) and two mode models (PREFSCAL) are discussed in detail. The assignments consist of programming simple models in R and analysing own data with complex models using IBM SPSS and specialized software.

Course objectives

Students:

  • acquire knowledge of, and insight into, the assumptions of multivariate data analysis techniques
  • acquire knowledge of, and insight into, statistical techniques which require a minimal set of assumptions
  • learn to use statistical software for nonparametric multivariate analysis

Timetable

Applied Multivariate Analysis (2012-2013):

Mode of instruction

Seven lectures.

Assessment method

Graded assignments during course.

From January 1, 2006 the Faculty of Social Sciences has instituted the Ephorus system to be used by instructors for the systematic detection of plagiarism in students’ written work. Please see the information concerning fraud .

Blackboard

Information on blackboard.leidenuniv.nl

Reading list

  • Cohen, J. (1994). The earth is round (p