Testing topographic differences between event related brain potentials by using non-parametric combinations of permutation tests.

MANOVA and repeated measures ANOVA approaches have provided evidence of a number of limitations in several event-related potential (ERP) studies due to violations of their statistical assumptions and the typically moderate size of the available sample. Alternative, computer-intensive methods based on permutation principles have recently been developed. Up to now this methodology has focused mostly on magnitude differences between scalp distributions as measured by t statistics. In this paper the scope of permutation techniques in ERP analysis was widened. A new statistic (D statistic) is introduced to compare the shapes of scalp distributions of ERPs. Additionally a general non-parametric combinatory technique is introduced to evaluate, by means of multivariate permutation tests, several time points and/or recording sites in ERP data. The methodology described here was used to test if two ERP components elicited during word-pair matching tasks to semantic or phonological incongruences had different scalp distributions.

[1]  J A Carballo-González,et al.  Model parameters estimation when the evoked potential recordings are affected by a random scale factor. , 1992, International journal of bio-medical computing.

[2]  J. Fermaglich.  Electric Fields of the Brain: The Neurophysics of EEG , 1982 .

[3]  M. Kutas,et al.  Event-related brain potentials to grammatical errors and semantic anomalies , 1983, Memory & cognition.

[4]  Dietrich Lehmann,et al.  Spatial analysis of evoked potentials in man—a review , 1984, Progress in Neurobiology.

[5]  Michael D. Rugg,et al.  Event-related potentials in phonological matching tasks , 1984, Brain and Language.

[6]  S. Geisser,et al.  On methods in the analysis of profile data , 1959 .

[7]  H. Huynh,et al.  Estimation of the Box Correction for Degrees of Freedom from Sample Data in Randomized Block and Split-Plot Designs , 1976 .

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

[9]  J. Raz,et al.  Analysis of repeated measurements using nonparametric smoothers and randomization tests. , 1989, Biometrics.

[10]  Fortunato Pesarin,et al.  A resampling procedure for nonparametric combination of several dependent tests , 1992 .

[11]  R. Blair,et al.  An alternative method for significance testing of waveform difference potentials. , 1993, Psychophysiology.

[12]  J. Richard Jennings,et al.  Editorial Policy on Analyses of Variance With Repeated Measures , 1987 .

[13]  D. Regan.  Human brain electrophysiology: Evoked potentials and evoked magnetic fields in science and medicine , 1989 .

[14]  J. Thayer,et al.  The continuing problem of false positives in repeated measures ANOVA in psychophysiology: a multivariate solution. , 1987, Psychophysiology.

[15]  H. Huynh,et al.  Conditions under Which Mean Square Ratios in Repeated Measurements Designs Have Exact F-Distributions , 1970 .