Misallocation of variance in event-related potentials: simulation studies on the effects of test power, topography, and baseline-to-peak versus principal component quantifications

Since Wood and McCarthy's simulation study (Electroenceph Clin Neurophysiol 1984;59:249-260), the use of principal component analysis (PCA) as a tool for the identification and quantification of event-related potentials (ERP) has been considered a challenge. Three relevant aspects have not been fully acknowledged in previous studies, however, and were therefore investigated in the present simulation study. Firstly, the impact of test power on the amount of variance misallocation was studied. Secondly, the impact of ERP component topography on variance misallocation was investigated. Thirdly, a systematic evaluation of variance misallocation in baseline-to-peak derived ERP measures was performed. Results based on an overall set of 2700 simulations indicate that: (a) variance misallocation is reduced to an almost acceptable level when an appropriate test power is simulated; (b) the overall amount of variance misallocation remains at an almost acceptable level when systematic topographic effects are simulated in combination with an appropriate test power; and (c) variance misallocation is in fact also a problem in baseline-to-peak measures. These findings confirm that, when used appropriately, PCA is a helpful and efficient tool for the identification and quantification of ERPs.

[1]  C C Wood,et al.  Principal component analysis of event-related potentials: simulation studies demonstrate misallocation of variance across components. , 1984, Electroencephalography and clinical neurophysiology.

[2]  J.C. Mosher,et al.  Multiple dipole modeling and localization from spatio-temporal MEG data , 1992, IEEE Transactions on Biomedical Engineering.

[3]  S. Brooks,et al.  Applied Multivariate Statistics for the Social Sciences , 1993 .

[4]  Paul Geladi,et al.  Principal Component Analysis , 1987, Comprehensive Chemometrics.

[5]  Margot J. Taylor,et al.  Guidelines for using human event-related potentials to study cognition: recording standards and publication criteria. , 2000, Psychophysiology.

[6]  R. Verleger,et al.  Principal component analysis of event-related potentials: a note on misallocation of variance. , 1986, Electroencephalography and clinical neurophysiology.

[7]  Joachim Möcks,et al.  Decomposing event-related potentials: A new topographic components model , 1988, Biological Psychology.

[8]  R. Chapman,et al.  EP Component Identification and Measurement by Principal Components-Analysis , 1995, Brain and Cognition.

[9]  E Donchin,et al.  Syntactic parsing preferences and their on-line revisions: a spatio-temporal analysis of event-related brain potentials. , 2001, Brain research. Cognitive brain research.

[10]  J. R. Hughes Multidisciplinary perspectives in event-related brain potential research , 1980 .

[11]  Kara D. Federmeier,et al.  Event-related brain potentials. , 1990 .

[12]  Methodological Concerns about an ERP Study of Emotional Responsivity: A Commentary on Carretié et al. , 1999 .

[13]  J. Rohrbaugh,et al.  Spectral methods for principal components analysis of event-related brain potentials. , 1986, Computers and biomedical research, an international journal.

[14]  E Hunt,et al.  Mathematical models of the event-related potential. , 1985, Psychophysiology.

[15]  E. Donchin,et al.  A componential analysis of the ERP elicited by novel events using a dense electrode array. , 1999, Psychophysiology.

[16]  G.J.M. van Boxtel,et al.  Computational and statistical methods for analyzing event-related potential data , 1998 .

[17]  M. Rugg,et al.  Electrophysiology of Mind: Event-Related Brain Potentials and Cognition , 1995 .

[18]  Wilfried Collet,et al.  Doubts on the adequacy of the principal component varimax analysis for the identification of event-related brain potential components: A commentary on Glaser and Ruchkin, and Donchin and Heffley , 1989, Biological Psychology.

[19]  J. Gorman,et al.  Event-related brain potentials (ERPs) in schizophrenia for tonal and phonetic oddball tasks , 2001, Biological Psychiatry.

[20]  E. Donchin Multivariate analysis of event-related potential data: A tutorial review , 1978 .

[21]  J. Stevens Applied Multivariate Statistics for the Social Sciences , 1986 .

[22]  Jürgen Kayser,et al.  Event-related potentials in schizophrenia during tonal and phonetic oddball tasks: relations to diagnostic subtype, symptom features and verbal memory , 2001, Biological Psychiatry.

[23]  C. C. Wood,et al.  Scalp distributions of event-related potentials: an ambiguity associated with analysis of variance models. , 1985, Electroencephalography and clinical neurophysiology.

[24]  C E Tenke,et al.  Event-related potentials (ERPs) to hemifield presentations of emotional stimuli: differences between depressed patients and healthy adults in P3 amplitude and asymmetry. , 2000, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[25]  André Beauducel,et al.  On the Reliability of Augmenting/Reducing: Peak Amplitudes and Principal Component Analysis of Audit , 2000 .

[26]  Methodological concerns about an event-related potential (ERP) study of emotional responsivity: a commentary on Carretié et al. (1998) , 1999 .

[27]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[28]  D. O. Wastell,et al.  On the correlated nature of evoked brain activity: Biophysical and statistical considerations , 1981, Biological Psychology.

[29]  Jacob Cohen Statistical Power Analysis for the Behavioral Sciences , 1969, The SAGE Encyclopedia of Research Design.

[30]  A. Achim,et al.  Principal component analysis of event-related potentials: misallocation of variance revisited. , 1997, Psychophysiology.

[31]  Joseph Dien,et al.  Differential lateralization of trait anxiety and trait fearfulness: Evoked potential correlates , 1998 .

[32]  M. Coles,et al.  Event-related brain potentials: An introduction. , 1995 .

[33]  Joseph Dien,et al.  Addressing Misallocation of Variance in Principal Components Analysis of Event-Related Potentials , 2004, Brain Topography.

[34]  Edgar Erdfelder,et al.  GPOWER: a priori, post-hoc, and compromise power analyses for MS-DOS [Computer Program] , 2004 .

[35]  C. Tenke,et al.  Optimizing PCA methodology for ERP component identification and measurement: theoretical rationale and empirical evaluation , 2003, Clinical Neurophysiology.

[36]  E. Donchin,et al.  Spatiotemporal analysis of the late ERP responses to deviant stimuli. , 2001, Psychophysiology.