Title: Bootstrap confidence intervals in multi-level simultaneous component analysis
Authors: Timmerman, M. E. ×
Kiers, H. A.
Smilde, A. K.
Ceulemans, Eva
Stouten, Jeroen #
Issue Date: May-2009
Publisher: J. Wright & Sons
Series Title: British Journal of Mathematical and Statistical Psychology vol:62 pages:299-318
Abstract: Multi-level simultaneous component analysis (MLSCA) was designed for the exploratory analysis of hierarchically ordered data. MLSCA specifies a component model for each level in the data, where appropriate constraints express possible similarities between groups of objects at a certain level, yielding four MLSCA variants. The present paper discusses different bootstrap strategies for estimating confidence intervals (CIs) on the individual parameters. In selecting a proper strategy, the main issues to address are the resampling scheme and the non-uniqueness of the parameters. The resampling scheme depends on which level(s) in the hierarchy are considered random, and which fixed. The degree of non-uniqueness depends on the MLSCA variant, and, in two variants, the extent to which the user exploits the transformational freedom. A comparative simulation study examines the quality of bootstrap CIs of different MLSCA parameters. Generally, the quality of bootstrap CIs appears to be good, provided the sample sizes are sufficient at each level that is considered to be random. The latter implies that if more than a single level is considered random, the total number of observations necessary to obtain reliable inferential information increases dramatically. An empirical example illustrates the use of bootstrap CIs in MLSCA.
ISSN: 0007-1102
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Psychology Research Units (-)
Methodology of Educational Sciences
Occupational & Organisational Psychology and Professional Learning - miscellaneous
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
Timmerman BJMS2009.pdf Published 493KbAdobe PDFView/Open Request a copy

These files are only available to some KU Leuven Association staff members


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science