sp elm in a l Psy iplinar al En response for which the lowermost value was found to be 25 window from mainly the frontocentral recording sites and is time-locked to the stimulus. The early, time-locked gamma response is mainly rmation processing International Journal of Psychophysiolo* Corresponding author. Hacettepe University, Department of Experi-1. Introduction The study of oscillatory responses in brain’s neuro- electric activity proved useful in understanding the way brain processes information (Adrian, 1942; for review, see Bas¸ar, 1976, 1980, 1998, 1999; Berger, 1929). Among the various oscillatory responses, the gamma response of the brain has received considerable attention. Existing literature includes a fair amount of knowledge about the gamma Hz and the uppermost value 70 Hz (for review, see Bas¸ar- Erog˘lu et al., 1996; Galambos, 1992; Gurtubay et al., 2001; Karakas¸ et al., 2001). There are basically two types of event- related gamma responses and these are discriminated on the basis of temporal localization and time-locking (Gurtubay et al., 2001; Bas¸ar-Erog˘lu et al., 1996; Karakas¸ et al., 2001). The ‘‘late’’ gamma occurs in the 130–400 ms poststimulus time window and has an induced character. The ‘‘early’’ gamma response occurs within the 150 ms poststimulusThe aim was to investigate whether gender is a causative factor in the gamma status according to which some individuals respond with time-locked, early gamma response, G+, while the others do not show this response, G. The sample consisted of 42 volunteer participants (between 19 and 37 years of age with at least 9 years of education). There were 22 females and 20 males. Data were collected under the oddball paradigm. Auditory stimulation (10 ms r/f time, 50 ms duration, 65 dB SPL) consisted of target (2000 Hz; p =.20) stimuli that occurred randomly within a series of standard stimuli (1000 Hz; p =.80). Gamma responses were studied in the amplitude frequency characteristics, in the digitally filtered event-related potentials (f-ERPs) and in the distributions which were obtained using the recently developed time–frequency component analysis (TFCA) technique. Participants were classified into G+ and G groups with a criterion of full agreement between the results of an automated gamma detection technique and expert opinion. The 222 ANOVA on f-ERPs and 222 multivariate ANOVA on TFCA distributions showed the main effect of gamma status and gender as significant, and the interaction between gamma status and gender as nonsignificant. Accordingly, individual difference in gamma status is a reliable phenomenon, but this does not depend on gender. There are conflicting findings in the literature concerning the effect of gender on ERP components (N100, P300). The present study showed that if the gamma status is not included in research designs, it may produce a confounding effect on ERP parameters. D 2005 Elsevier B.V. All rights reserved. Keywords: Gamma response; Gender; Individual differences; Event-related potentials; Event-related oscillations; Time–frequency analysisAbstractReceived 28 December 2004; received in revised form 1 May 2005; accepted 24 May 2005 Available online 16 August 2005Early time-locked gamma re Sirel Karakas¸ a,b,*, I˙lhan Tu¨fekc¸i c, B Elvin Dog˘utepe a,b, O¨. Utku Erzeng aHacettepe University, Department of Experimenta bTU¨BITAK Brain Dynamics Multidisc cBilkent University, Department of Electric0167-8760/$ - see front matter D 2005 Elsevier B.V. All rights reserved. doi:10.1016/j.ijpsycho.2005.05.009 mental Psycholo 2978335; fax: +90 312 2992100. E-mail address: skarakas@hacettepe.edu.tr (S. Karakas¸).onse and gender specificity a Bekc¸i a,b, Emine D. C¸akmak a,b, ,b, Arzu O¨zkan a,b, Orhan ArNkan c chology, Beytepe Campus 06532, Ankara, Turkey y Research Network, Ankara, Turkey gineering, 06533 Bilkent, Ankara, Turkey gy 60 (2006) 225 – 239 www.elsevier.com/locate/ijpsychorelated to the earlier operations of infogy, Beytepe Campus 06532, Ankara, Turkey. Tel.: +90 312 that culminate in sensation and perception (Gurtubay et al., 2001; Karakas¸ et al., 2001; Karakas¸ and Bas¸ar, 1998, event-related activity of the brain, the event-related potentials (ERPs). The N200 component (N2a/mismatch al of Pnegativity and N2b) is related to varying degrees of attention, from preattention/passive attention to focused attention/active attention (Karakas¸ et al., 2000a,b; Naata- nen, 1990, 1992; Naatanen and Picton, 1986). Some studies reported that N200 is higher in amplitude in males (Go¨lgeli et al., 1999; Nagy et al., 2003). However, other studies failed to find such an effect, or conversely, found that this ERP component was higher in amplitude in females (Barrett and Fulfs, 1998; Hoffman and Polich, 1999; Kasai et al., 2002). In females, the amplitude of the P300 (P3b) was found to be higher (Orozco and Ehlers, 1998; Osterhout et al., 1997; Hoffman and Polich, 1999). Such findings suggested that there was a gender effect on attention allocation and memory updating processes which are related to P300 (Sutton et al., 1965; Polich and Kok, 1995). The ERP studies suggest gender as a causative factor for the presence of the gamma response. To our knowledge, this issue has not been studied in the relevant literature. The aim of the present study was to study the effect of gender on the gamma response and, using techniques of time-domain, frequency-domain and time–frequency domain analysis, to test the hypothesis that individual differences in this response are due to gender. 2. Methods 2.1. Participants The sample was obtained from a total of 58 volunteers who met the below specified inclusion and exclusion criteria. These participants were classified into G+ and G groups. The sample consisted of 42 volunteer partici- pants with respect to whom the automated gamma detection technique and expert opinion showed 100% agreement with regards to gamma status (G+ or G). There were 20 males and 22 females in the sample. Participants were young adults between 19 and 37 years of2004). However, in spite of its early occurrence, individual differences were reported in this time-locked gamma response such that some individuals showed time-locked gamma response, G+, and others did not, G. Further- more, these differences were found to be related to the higher cognitive processes such as learning, memory and executive functions (Jokeit and Makeig, 1994; Karakas¸ et al., 2003). Cognitive processes are differentially affected with gender such that there is generally a female superiority in verbal functions and a male superiority in visuo-spatial functions (Kolb and Whishaw, 1996; Maccoby and Jacklin, 1974). Gender effect has also been studied on one type of S. Karakas¸ et al. / International Journ226age and they had at least 9 years of education. Participants were naive to electrophysiological studies. All were right-handed. Volunteering participants gave informed consent to participate in the study after the purpose and nature of the experiment were fully explained. The sample included only those individuals who reported being free of neurological or psychiatric prob- lems. Individuals who were, at the time of testing, under medication that could affect cognitive processes or who stopped taking such medication were excluded. The hearing level of the potential subjects was assessed through computerized audiometric testing prior to the experimental procedures. Individuals with hearing deficits were not included in the study. 2.2. Stimulation and response parameters The auditory stimuli had 10 ms r/f time, 50 ms duration and were presented over the headphones at 65 dB SPL. Two types of stimuli were used: the standard and the deviant. The standard stimuli (n=120–130) were 1000 Hz. Deviant stimuli (n=30–33) were 2000 Hz. The deviant stimuli occurred randomly with a probability of about 0.20 within a series of standard stimuli that were presented with a probability of about 0.80. According to the procedures of the oddball paradigm (OB), participants had to mentally count the occurrence of deviant (target) stimuli and to report them after the session was terminated (for details of the methodology, see Karakas¸ et al., 2000a). 2.3. Electrophysiological procedures Electrical activity of the brain, the prestimulus electroencephalogram (EEG) and the poststimulus ERP, were recorded in an electrically shielded, sound-proof chamber. Recordings were taken from 15 recording sites (reference: linked earlobes; ground: forehead) of the 10– 20 system under eyes-open condition using a commercial electrode cap (Electro-Cap) of appropriate size. The present study reports findings from the midline recording sites (Fz, Cz, Pz). Bipolar recordings were made of electroocular and electromyographic activity for online rejection of responses whose amplitudes exceeded T50 AV and offline rejection of artifacts by means of visual inspection. Electrooculogram (EOG) was recorded between the outer canthus and supra- orbital area of the left eye. Electromyogram (EMG) was recorded between two electrodes that were placed at the submental area. Rejection occurred for epochs that con- tained gross muscular activity, eye movements or blinks. Electrical activity was amplified and filtered with a bandpass between 0.16 and 70 Hz (3 dB down, 12 dB/ octave). It was recorded with a sampling rate of 500 Hz and a total recording time of 2048 ms, 1024 ms of which served as the prestimulus baseline. EEG–ERP data acquisition, sychophysiology 60 (2006) 225–239analysis, and storage were achieved by a commercial system (Brain Data 2.92). al of P2.4. Data analysis 2.4.1. Time-domain analysis Selective averaging of ERPs was used for obtaining representative waveforms for the experimental conditions and also for separating the ERP (evoked activity) from the EEG (spontaneous activity) (Dawson, 1954). 2.4.2. Frequency-domain analysis The frequency responses of brain’s neuroelectricity were calculated through two techniques: transient response frequency characteristics (TRFC) and digital filtering (DF). The amplitude frequency characteristics (AFCs) were computed using the TRFC method (Bas¸ar, 1980). This method computes the AFCs, )G(jx)), by the application of Laplace transform (i.e., one-sided Fourier transform) to the unfiltered transient (evoked) response, c(t), of the system (Bas¸ar, 1998; Brandt and Jansen, 1991; Jervis et al., 1983; Kolev and Yordanova, 1997; Parvin et al., 1980; Ro¨schke et al., 1995, 1996; Ro¨schke and Alden- hoff, 1991; Solodovnikov, 1960). The AFC is expressed in relative units and it reflects the amplification in the studied frequency channels. The presence of peaks in the AFC thus reveals the frequency selectivities of the system and these are interpreted as the most preferred oscil- lations when responding to stimuli (for details of methodology, see Karakas¸ and Bas¸ar, 1998). The AFCs were used in the present study for a global and simultaneous description of selectivities in the studied frequency range (1–100 Hz). The technique was also used for determining the limits of the resonant selectiv- ities that appeared as maxima in the AFCs. These values were used for determining the frequency cutoff values of the digital filters. In DF, the experimentally obtained transient (evoked) response, c(t), is theoretically filtered by means of the convolution integral using the weighting function, gKF(t), of adequately determined ideal filter (for details of methodology, see Cook and Miller, 1992; Farwell et al., 1993; Karakas¸ and Bas¸ar, 1998; Ungan and Bas¸ar, 1976). Digital filtering produces visual displays of the time courses of oscillatory components within the frequency limits of the utilized filters. Digital filtering thus displays the oscillatory activity of different frequency bands over the studied time interval (1024 ms to +1024 ms). In the present study, digital passband filtering was response- adaptive; filter limits were determined from selectivity channels that were displayed in the AFCs as distinct peaks. In other words, the bandwidth values of the digital filters that were chosen coincided with the limits of the resonant selectivities that were displayed in the AFC of each condition. It was found that 28–46 Hz frequency limits described the gamma range in the different experimental S. Karakas¸ et al. / International Journconditions of the present study (also see Karakas¸ et al., 2001; Karakas¸ and Bas¸ar, 1998).2.4.3. Time–frequency domain analysis As the above explanations show, ERPs basically repre- sent the analysis of brain electrical responses in the time- domain. Fourier transform and the AFCs represent the frequency components in the signal in the frequency domain. Digital filtering is based on the findings of AFC and displays the progression of oscillations of those frequency ranges that are determined from the AFCs. Both techniques of frequency analysis assume that the studied system is linear and stationary. The localization of signals simultaneously in the time and frequency planes can be achieved using Short-Time Fourier Transform (STFT). However, when ERP components are closely localized in the time–frequency plane, STFT may not be adequate to resolve them (Cohen, 1989, 1995). Wigner distribution significantly improves the resolution of the individual ERP components. The Wigner distribution Wx(t, f ) of a signal x(t) is defined as Wx t; fð Þ ¼ Z V V x t þ s=2ð Þx* t  s=2ð Þej2pf sds: As it is seen from the definition, Wigner distribution is a bilinear representation. Therefore, Wigner distribution of multi-component signals or mono-component signals with curved time–frequency supports will be cluttered by spurious terms called cross-terms. The existence of cross- terms may decrease the interpretability of the time– frequency distribution. ERPs, like other non-stationary signals, require an analysis technique that is free from cross-terms and that also render a high-resolution time– frequency distribution. The simultaneous localization of the gamma component in the time and frequency domains was achieved in the present study using the recently developed time–frequency component analysis (TFCA) technique (ArNkan et al., 2003; O¨zdemir et al., 2001, 2005; O¨zdemir and ArNkan, 2000, 2001). Fig. 1 presents a flow diagram of the algorithm that was used in TFCA. The basic aim of this algorithm was as follows: Given a multi-component sampled signal x(n/Dx), N/2nN/21, to extract its components and to compute its time–frequency distribution. It is assumed that x(t) is scaled before its sampling so that its Wigner distribution is inside a circle of a diameter DxV ffiffiffiffi N p (see Ozaktas et al., 1996). The steps of the algorithm for TFCA are given below. 1. Initialize the residual signal and the iteration number as r0(t)2x(t), i21, respectively. 2. Identify the time–frequency support of the component si(t) using the watershed segmentation algorithm (Vincent and Soille, 1991). After manually determining the appro- priate rotation angle /i and the fractional domain ai=2/i/p, estimate the spine wi,ai(t) of the fractional Fourier transform rai i1(t) using an instantaneous frequency estimation algo- sychophysiology 60 (2006) 225–239 227rithm. Then determine the amount of the required frequency shift dfi on the spine wi,ai(t). r) = t of the d segm riate r tional ii a,ψ al of PInitialize: (x t Identify the t-f suppor using the watershe Identify the approp and compute the spine in the frac S. Karakas¸ et al. / International Journ2283. Compute the sampled FrFT rai i1(kT), ai =2/i/p, from ri1(kT) using the fast fractional Fourier transform algo- rithm (see Ozaktas et al., 1996). 4. Define the warping function fi(t)=Ci 1( fw i(t t1)), where Ci tð Þ ¼ X t t1 wai tVð Þ þ dfi  dtV and fw i =Ci(tN)/(tN t1). Compute the sampled warping function fi(kT). 5. Compute the sampled warped signal rai,f i i1 (kT) as r i1;dfi ai kTð Þ ¼ e j2pdfi kT ri1ai kTð Þ r i1;dfi ai;fi kTð Þ ¼ ej2pdfi kT ri1;dfiai fi kTð Þð Þ: Compute the FrFT warping fu r By using the order transformation and the spine warped FrFT of the si Extract the ith signal compo warped FrFT By using adaptively smoothing the WD slices, compute the high resolution t-f slices of the warped signal component which are parallel to the time axis Compute the corresponding high resolution t-f slices of the fractional Fourier transformed signal component By removing the rotation effect induced by the Fractional Fourier transformation, compute the corresponding high resolution t-f slices of the signal component Compute the TFD of compo TFDs of individual s NO ia ( )ˆ fii i i a ts δ ζ , , ˆ ( ) i i as t ˆ ( )is t Fig. 1. Detailed flow diagram of time-freq0( ) ( )t x t:= 1i := ERP Signal component by entation algorithm. ( )is t otation angle . of the ith component domain . 2i ia π= ia ( )t φ sychophysiology 60 (2006) 225–2396. Estimate the ith component by incision of the time– frequency domain as sˆ i;dfi a;fi tð Þ ¼ h2 tð Þ h1 tð Þ4r i1;dfi ai;fi tð Þ ih ; where h2(t) is a time-domain mask and h1(t) is the inverse Fourier transform of a frequency-domain mask H1( f). 7. For each TFD slice of si(t), compute yai;fi kTð Þ ¼ sˆ i;dfi ai;fi kTð Þe j2pDwfi kTð Þ, after choosing the slice offset Dw. 8. Compute the sampled TFD TFyai ;fi mT¯ ; fwi   ; t1=T¯Vm VtN=T¯ of yai,f i(t) using the directional smoothing algorithm , and nction 1( ) i i a kT - ( )i tΓ fractional Fourier compute the gnal . nent as in the domain. Compute the time domain estimate of the ith signal component by using the inverse warping transformation Compute the residual signal site signal by summing the ignal components Is any signal component left in residual signal YES ( ) ii a t , 1 ( ) i i i ar kTζ - , ( )ˆ fii i i a ts δ ζ , , ˆ ( )is t 1( ) ( ) ( )ˆi i ir kT r kT kTs-= - ( )ir kT 1i i= + ψ uency component analyzer (TFCA). components have non-overlapping supports in the time– frequency plane. 2.4.4. Detection of early gamma response based on time– frequency domain characteristics Detection of the early gamma response (0–150 ms poststimulus time window) was realized using an automated detection technique (Fig. 2). PRE-PROCESSING [26 – 48] Hz Band-pass Digital Filtering x(t): EEG Signal Weight filtered signal g(t) = w(t) * y(t) Compute STFT Sg y(t) Determine freq. support [fli – fhi] of gamma candidates from Sg Sg For each gamma candidate, i Filter x(t) with a band-pass filter with cut-offs [fli - fhi] yi(t) x(t) [fli – fhi] Mgi Compute STFT Syi Find pre-stimulus marker, Iyi Syi Weight filtered signal gi(t) = w(t) * yi(t) gi(t) Find early-gamma marker using multi-level thresholding, Igi Compute STFT Sgi Sgi Myi Construct masked TF representation of early- gamma response, Mgi Igi Igi Construct masked TF representation of pre- stimulus signal, Myi Iyi yi(t) g(t) x(t) al of Psychophysiology 60 (2006) 225–239 229(cf. O¨zdemir and ArNkan, 2000), where T¯ is the sampling interval of the TFD slice. 9. The TFD slice of si(t) is given by TFsi tr mT¯ð Þ; fr mT¯ð Þð Þ ¼ TFyai ;fi mT¯ ; fwi   ; where (tr(mT¯), fr(mT¯)) define a curve in the time–frequency plane parameterized by the variable mT¯: tr mT¯ð Þ ¼ f mT¯ð Þcos aip 2    w f mT¯ð Þð Þ þ Dw   sin aip 2   fr mT¯ð Þ ¼ f mT¯ð Þsin aip 2   þ w f mT¯ð Þð Þ þ Dw   cos aip 2   ; t1=T¯VmVtN=T¯ : 10. Estimate the sampled si(t) by taking the inverse of the warping, frequency modulation and the fractional Fourier transformation on the sampled sˆai,f i d f i (t) sˆ i;dfi ai kTð Þ ¼ e j2pdfi f 1 i kTð Þsˆ i;dfi ai;fi f1i kTð Þ   ; sˆiai kTð Þ ¼ e j2pdfi kT sˆ i;dfi ai kTð Þ; sˆi kTð Þ ¼ Fai sˆiai n o kTð Þ: 11. Compute the residual signal ri(kT) = ri1(kT) sˆi(kT). if any signal component is left in residual signal ri(kT) then Set i = i+1, and GOTO step 2, else Compute the time–frequency distribution of the composite signal as the sum of the time–frequency distributions of individual signal components. endif As the algorithm shows, TFCA suppresses the cross- terms (both inner and outer interference terms), which are associated with the Wigner distribution. TFCA can identify the auto-terms in the time-and-frequency plane, and can do this for mono- and multi-component signals with linear or curved time–frequency supports. As such, TFCA identifies and extracts the maximal energies of the oscillatory components from the composite (multi-component) ERP signal (O¨zdemir et al., 2005). Accordingly, as a high- resolution signal analysis technique, TFCA can produce the global distribution of uncontaminated signal compo- nents in the form of spatially and temporally integrated, S. Karakas¸ et al. / International Journtime-varying oscillatory activity of various frequency ranges. The only assumption in TFCA is that signalExtract features Detect presence of early-gamma response Peak Ratio Energy Ratio Normalized Enhancement EARLY-GAMMA EXISTS EARLY-GAMMA DOES NOT EXISTFig. 2. Flow diagram of the detection technique for the early gamma response. 3. The ratio of energies of the masked TF representations, al of PThe major steps of the detection algorithm were: (1) Pre- processing of the EEG data to enhance detection. (2) Computing Short-Time Fourier Transform (STFT) of the pre-processed signal. (3) Locating time–frequency domain peaks. (4) Identifying the frequency interval of each detected peak. (5) Filtering the EEG recording within the identified frequency intervals in Step 4. (6) Computing two STFTs. (a) STFT of the signal obtained in Step 5: Syi(t,f); (b) STFT of the signal obtained in Step 5 after time weighting: Sgi(t,f). Here i denotes the index of the potential early gamma response. (7) Extracting the support marker for Sgi(t,f):Igi(t,f). (8) Forming the support marker for Syi(t,f) by using Igi(t,f). (9) Extracting quantitative time–frequency domain features. (10) Detecting the early gamma response based on the extracted features. As Fig. 2 shows, the detection algorithm starts with filtering the EEG signal, x(t), in (26–48) Hz band (Karakas¸ and Bas¸ar, 1998) to obtain the filtered response, y(t). The filter used is an infinite impulse response (IIR) filter with 14 coefficients which have 46 dB attenuation in stopbands, and 0.1 dB ripple in the passband. The pre-processed signal g(t) is obtained by multiplying the filtered EEG signal with the time-domain weighting function, w(t): g tð Þ ¼ w tð Þ  y tð Þ: The support of w(t) is chosen to emphasize features in 50 to 300 ms. The algorithm looks for early gamma response in the following STFT magnitude: Sg t; fð Þ ¼ Z þV V g sð Þ 1ffiffiffiffiffi 2p p r e  tsð Þ2 2r2 ej2pf sds : The width parameter, r, of the sliding STFT window is chosen as 57 ms. By multi-level thresholding Sgi(t,f), a compact time– frequency support of gi(t) is obtained. In this way, a marker Igi(t,f) indicating the regions with high energy on the STFT magnitude is obtained. By multiplying Sgi(t,f) with Igi(t,f), the masked time–frequency (TF) representation is obtained: Mgi t; fð Þ ¼ Sgi t; fð Þ  Igi t; fð Þ: Similarly, masked TF representation of the prestimulus response Myi(t,f) is computed as: Myi t; fð Þ ¼ Syi t; fð Þ  Iyi t; fð Þ; where the prestimulus marker, Iyi(t,f), is obtained by dilation of the gamma marker Igi(t,f) within the prestimulus region boundaries. The following set of features is chosen for robust differentiation of the pre-and poststimulus response in the presence of early gamma signal. 1. The normalized enhancement, ce: pg  lp S. Karakas¸ et al. / International Journ230ce ¼ rp ;Er: Er ¼ Z Mgi t; fð Þ 2dtdf Z Igi t; fð Þdtdf  Z Myi t; fð Þ 2dtdf Z Iyi t; fð Þdtdf 3 775 2 664 1 : To illustrate the efficiency of the extracted features, a neural network (NN) classifier with 3 inputs corresponding to each extracted feature and a single output indicating the presence of the early gamma response was designed. The neural network had two hidden layers, with 30 and 15 neurons, respectively. The transfer functions in all of the layers were hyperbolic tangent transfer functions. The designed neural network was trained by using a back-propagation algorithm on a set, which contained 21 signals that exhibited gamma response, G+, and 14 signals that did not exhibit gamma response, G. Preliminary classification of the signals into G+ and G was achieved through expert opinion. The trained network had a 95% success rate on the training data. Then the neural network classifier was tested on 102 signals, which were obtained in response to the target and standard stimuli of the oddball paradigm from the different recording sites. The expert and the classifications of this preliminary neural network coincided in 76% of the cases: G+ concordance was 47.06% and G concordance was 29.41%. Among the misclassified cases, the false-positives were 7.84% and the false negatives were 15.69%. This neural network has been designed for the present study and may be further refined. The expert opinion was based on digitally filtered wave- forms which were, basically, time-domain representations of the oscillatory responses whose frequency limits were determined from the AFCs. Taking these into consideration, the present study analyzed those gamma responses where decision concerning the gamma status of both the expert and the neural network classifier was identical. 3. Results 3.1. ERPs and time-locked gamma responses in gender subtypes Figs. 3 and 4 display the ERPs (first block of figures) for females (F) and males (M) which were obtained in responsewhere pg is the peak value of Mgi(t,f), lp and rp are the mean value and standard deviation of Myi(t,f), respectively. 2. The peak ratio, cp: cp ¼ pg pp where pp denotes the peak value of the masked TF representation of the prestimulus. sychophysiology 60 (2006) 225–239to the target and the standard stimuli, respectively, from the Fz, Cz and Pz recording sites. Table 1 shows the descriptive Fig. 3. Findings obtained in response to the target stimuli. First block: Event-related potential waveforms (ERPs). Second block: Amplitude frequency characteristics (AFCs). Third block: Digitally filtered waveforms (f-ERPs) for females (F: first rows in each block) and males (M: second rows in each block). Recording sites: Fz, Cz and Pz. Note that the Y-axis for ERPs, AFCs and f-ERPs have scales proportional to the largest amplitude values in each representation. Stimulation onset was marked with ‘‘0’’. S. K arakas¸ et al. / International Journal of P sychophysiology 60 (2006) 225 – 239 231 Fig. 4. Findings obtained in response to the standard stimuli. First block: The event-related potential waveforms (ERPs). Second block: Amplitude frequency characteristics (AFC). Third block: Digitally filtered waveforms (f-ERPs) for females (F: first rows in each block) and males (M: second rows in each block). Recording sites: Fz, Cz and Pz. Note that the Y-axis for ERPs, AFCs and f-ERPs have scales proportional to the largest amplitude values in each representation. Stimulation onset was marked with ‘‘0’’. S. K arakas¸ et al. / International Journal of P sychophysiology 60 (2006) 225 – 239 232 AFCs of both types of gender and of both stimulus types. Considering all experimental conditions, the frequency of the gamma response varied between 28 and 46 Hz. The third block in Figs. 3 and 4 displays the ERPs that were filtered in the gamma range (f-ERPs). The figures show that the time-locked gamma response occurred within a time window of 0–150 ms poststimulus in the f-ERPs of Table 2 Summary tables for 223 analysis of variance (ANOVA) with gender (Female, Male), stimulus type (Target, Standard) and recording site (Fz, Cz, Pz) as predictive (Independent) variables and ERP peak amplitudes as predicted (Dependent) variables Sources of variance Sum of squares df Mean square F-values N100 Amplitude (lV) Gender (A) 47.33 1 47.33 0.84 Error 2245.81 40 56.14 Stimulus type (B) 15.58 1 15.58 0.69 Error 908.69 40 22.72 Recording site (C) 970.85 1 760.80 73.48** Error 528.47 51 10.35 AB 141.14 1 141.14 6.21* Error 908.69 40 22.72 AC 2.82 1 2.21 0.21 Error 528.47 51 10.35 BC 22.51 1 17.11 5.52* Error 162.97 53 3.10 ABC 3.26 1 2.48 0.80 Error 162.97 53 3.10 N200 Amplitude (lV) Gender (A) 1.92 1 1.92 0.04 Error 1693.15 40 42.33 Stimulus type (B) 313.79 1 313.79 5.91* Error 2124.75 40 53.12 Recording site (C) 1133.49 2 748.90 57.50*** Error 788.52 61 13.02 AB 114.70 1 114.70 2.16 Error 2124.75 40 53.12 AC 20.88 2 13.79 1.06 al of Psychophysiology 60 (2006) 225–239 233statistics for the amplitude variations of the ERP peaks of males and females obtained in response to the target and standard stimuli from the three recording sites. Females had higher P300 response amplitudes than males. Target-evoked N200 and P300 peaks were higher in amplitude than standard-evoked ones. While target-evoked N100 was higher in males, target-evoked P300 was higher in females. For standard-evoked N100 and P300, gender effect shifted; standard evoked N100 was higher in females and standard evoked P300 was higher in males. Peak amplitudes changed according to recording site. P300 increased in amplitude towards the posterior recording sites and the negative peaks, (N100 and N200), increased in amplitude towards the anterior recording sites. The effects of gender (female, male), stimulus type (target, standard) and recording site (Fz, Cz, Pz) on Table 1 Means and standard deviations of the amplitudes of target-elicited and standard-elicited ERP components (N100, N200, P300) according to gender (Female, Male), stimulus type (Target, Standard) and recording site (Fz, Cz, Pz) Amplitude (AV) Fz Cz Pz N100 Female Target 9.64 (T4.02) 9.02 (T3.60) 5.01 (T3.13) Standard 10.26 (T4.51) 9.90 (T4.31) 6.51 (T3.26) Male Target 12.52 (T5.08) 11.43 (T4.24) 6.82 (T3.39) Standard 9.67 (T4.60) 9.17 (T4.10) 5.95 (T3.36) N200 Female Target 5.39 (T6.07) 1.69 (T6.17) 2.30 (T4.46) Standard 2.98 (T4.37) 0.08 (T4.50) 0.93 (T3.71) Male Target 6.33 (T5.18) 2.86 (T4.85) 0.17 (T4.99) Standard 1.40 (T3.67) 1.35 (T2.49) 1.44 (T2.25) P300 Female Target 10.27 (T6.63) 15.61 (T6.76) 19.18 (T7.71) Standard 1.34 (T3.38) 3.63 (T3.78) 5.12 (T3.50) Male Target 5.99 (T5.35) 10.00 (T4.09) 12.03 (T3.87) Standard 2.66 (T3.67) 5.42 (T4.06) 5.98 (T3.89) S. Karakas¸ et al. / International Journamplitudes of the ERP peaks (N100, N200, P300) were tested using 223 factorial design with repeated meas- ures at the second and third factors. According to Mau- chley’s test, the data were not spherical. Taking the sample size into consideration, correction was performed using Huyn–Feldt epsilon in performing analysis of variance (ANOVA) (Vasey and Thayer, 1987). Table 2 presents a summary table of ANOVAs which were separately per- formed for each ERP peak (N100, N200, P300). Gender had a significant effect on P300 amplitude. Stimulus type had a significant effect on the N200 and P300 peaks. Recording site was found significant for all the studied ERP peaks. The interaction of gender and stimulus type was significant for N100 and P300. The interaction of stimulus type and recording site was significant for all peaks. Fig. 3 displays the AFCs (second block of figures) for females (F) and males (M) which were obtained in response to target stimuli from the Fz, Cz and Pz recording sites. Fig. 4 displays the findings obtained in response to the standard stimuli. The global representations that the AFCs provided suggested that the gamma selectivity was present in the Error 788.52 61 13.02 BC 146.84 2 96.72 17.10*** Error 343.57 61 5.66 ABC 0.65 2 0.43 0.07 Error 343.57 61 5.66 P300 Amplitude (lV) Gender (A) 297.48 1 297.48 4.66* Error 2554.61 40 63.86 Stimulus type (B) 4181.13 1 4181.13 67.77*** Error 2467.67 40 61.69 Recording site (C) 1312.86 2 873.94 75.78*** Error 692.94 60 11.53 AB 770.34 1 770.34 12.49*** Error 2467.67 40 61.69 AC 31.23 2 20.79 1.80 Error 692.94 60 11.53 BC 162.65 2 91.72 29.75*** Error 218.72 71 3.08 ABC 16.45 2 9.28 3.01 Error 218.72 71 3.08 * p <.05. ** p <.01. *** p <.001. both females and males in response to both the target and the standard stimuli at specifically the frontocentral record- ing sites. Data were analyzed using a 223 ANOVA for the effect of gender (female, male), stimulus type (target, standard) and recording site (Fz, Cz, Pz) with repeated measures at the second and third factors. According to Mauchley’s test, the data were not spherical; accordingly, Huyn–Feldt was used as the epsilon value. The peak-to- peak (Vp–p) amplitude of the gamma response, which was measured between the most negative and most positive were left c vefor S. Karakas¸ et al. / International Journal of Psychophysiology 60 (2006) 225–239234Fig. 5. The event-related potentials (ERPs) and filtered ERPs (f-ERPs) that females (F) and males (M) with time-locked early gamma response, G+ ( column). First four figures in each recording site: Event-related potential wa gamma range. Note that the Y-axis for ERPs and f-ERPs have scales proportiona was marked with ‘‘0’’.obtained for the target stimuli from the Fz, Cz and Pz recording sites in olumn), and those without time-locked early gamma response, G (right ms (ERPs). Second four figures in each recording site: ERPs filtered at the l to the largest amplitude values in each representation. Stimulation onset of gender (F(1, 38)=5.64, p =.023). (The mean amplitude of females were 1.49 AV and of males 1.37 AV.) ANOVA did not find a significant effect of stimulus type. The interaction effect between gender and gamma status was not found significant either. (In the G+ group, mean amplitude of females was 1.97 AV and of males 1.41 AV; in the G group, the mean amplitude of females was 1.01 AV and of al of Psychophysiology 60 (2006) 225–239 235points in the 0–150 ms time window, was not affected by stimulus type. Mean gamma response amplitudes of females were higher than males (for target stimuli means for females and males were, 1.49 AV and 1.24 AV, respectively, at Fz; 1.65 AV and 1.40 AV, respectively, at Cz; and 1.27 AV and 1.02 AV, respectively, at Pz). However, this effect was not found significant. Recording site was found significant (Huyn–Feldt epsilon: F(2,80) =9.72, p = .001). Post hoc analyses revealed that the significant effect originated from the difference between Cz and Pz recording sites (mean difference: .31, p =.01). The difference between Fz and Cz, recording sites, on the other hand, was not significant. These findings showed that the early gamma response had a frontocentral distribution. None of the interaction effects were significant. 3.2. Gender subtypes and individual differences in the time-locked gamma response 3.2.1. Findings from digital filtering The f-ERPs of each participant were studied for the presence of the early, time-locked gamma response. Classification of the data of 58 participants was performed by expert opinion and automated gamma detection techni- que. Two raters independently rated the data for the presence of the gamma response. There was 97% agreement between these raters. The data of only those participants for whom the detection technique and expert opinion showed 100% agreement were chosen for further analysis. Agree- ment was obtained on 22 participants in the G+ group (37.93%) and 20 participants in the G group (34.48%). Both detection approaches found the gamma response of 16 participants unclassifiable (27.59%). Analyses of the present study were thus conducted on the data of a total of 42 participants; the group consisted of 22 females and 20 males (also see Section 2.1). Fig. 5 displays the ERPs and the gamma responses (f- ERPs) of G+ and G females and males in response to the target stimuli at the Fz, Cz and Pz recording sites. Since the gamma response was obtained from the frontocentral recording sites (Section 3.1, Figs. 3 and 4; also see Karakas¸ and Bas¸ar, 1998), data that were obtained from the Fz recording site were analyzed using 222 ANOVA for the effect of gender (female, male), gamma status (G+ and G) and stimulus type (target, standard) with repeated measures at the last factor. According to Mauchley’s test, the data were not spherical; accordingly, Huyn–Feldt was used as the epsilon value. The Vp–p amplitude of the gamma response was affected with gamma status (F(1, 38)=16.23, p =.0001); the response amplitude of the G+ group was higher than of the G group (mean amplitudes 1.69 AVand 1.02 AV, respectively). When individual differences in the gamma response were not taken into account (Figs. 3 and 4), gender effect had not been found significant. However, S. Karakas¸ et al. / International Journwhen gamma status was analyzed using the G+ and G levels of the variable, ANOVA revealed a significant effectmales, 1.04 AV.) Chi-square test for independent groups showed that the distribution of gender to gamma status was not significant (v2= .75, p> .05) (Table 3). This finding showed that G+ and G groups were homogeneously distributed over gender. Fig. 5 shows that, in females, gamma status does not affect the ERP components. Even for target-evoked P300 for which females had a significantly higher amplitude than males (Tables 1 and 2, Fig. 3), t-test for independent groups showed that the difference between the G+ and G females (measured as Vp–p between N2 and P3 in response to target stimuli at Fz) as nonsignificant. Males had higher ampli- tudes for target-evoked N100 and N200 (Tables 1 and 2, Fig. 3). In G males, however, N200 lost its distinctiveness as a peak and appeared as a side peak on an extensive negativity that also included the N100. The t-test for independent groups showed that the difference between the G+ and G males (measured as Vp–p between P2 and N2 in response to target stimuli at Fz) as significant (t =2.08, p= .05). The effects of gender (female, male), stimulus type (target, standard) and recording site (Fz, Cz, Pz) on amplitudes of the ERP peaks (N100, N200 and P300) were tested using only G+ participants. A 223 factorial design was used with repeated measures at the second and third factors. Data were not spherical, thus correction was performed using Huyn–Feldt epsilon in performing ANOVA. The results were similar to those obtained for the total sample that included G+ and G participants (Table 2). The only critical difference was obtained for P300. Gender had a significant effect on P300 in pooled data (Table 2); however, this effect was not significant when an ANOVA was conducted on only G+ participants. 3.2.2. Findings from TFCA In the present study, the gamma responses were also analyzed in the time–frequency plane using TFCA. Fig. 6 displays the application of TFCA to the averaged ERPs of the females (F) and males (M) in the G+ and G groups. Table 3 22 Chi-square test for the distribution of gender to gamma status ( p >.05) Gamma present, G (+) Gamma absent, G () Female n =11 n =11 26.2% 26.2% Male n =11 n =926.2% 21.4% F M F M al of P20 30 40 50 -0.02 0 0.02 -1 -0.5 0 0.5 1 2 0 -2 20 30 40 50 -0.05 0 0.05 2 0 -2 GAMMA (+) S. Karakas¸ et al. / International Journ236The first block that consisted of four figures shows the localization of the gamma component in the time– frequency plane. The second block that also consisted of four figures shows the gamma components which were produced by TFCA in the time plane. Both the time–frequency distribution of components and the time-domain activity that TFCA produced showed that the gamma activity occurred in both the prestimulus and poststimulus epochs. The left column in Fig. 6 shows the findings for the G+ females and males. In the G+ group, gamma activity was brought into resonance by stimulation. The stimulus-locked nature of the response is seen in TFCA as a high-energy component in the early time window (first two figures in the left column) and as a high amplitude component in the time-domain layout of the component (third and fourth figures in the left column). The gamma response occurred in a frequency range of 27.54 Hz and 42.46 Hz. The right column in Fig. 6 shows the findings for the G females and males. In both the TFCA distribution (first two figures in the right column) and the time-domain layout (third and fourth figures in the right column), it is clearly seen that the component is not stimulus-locked. Unlike the G+ group where the gamma response resonated upon stimulation, gamma in the G group existed throughout the pre- and the poststimulus recording period with a Fig. 6. TFCA analysis of the ERPs that were obtained for the target stimuli in fe column), and those without time-locked early gamma response, G (right c representation produced by TFCA. Second four figures: Respective time-domain g Y-axes/right: amplitude; X-axis: time in seconds. Note that each TFCA representatio domain gamma components: Y-axes/left: amplitude; X-axis: time in seconds. Stim-0.02 0 0.02 -0.02 0 0.02 -1 -0.5 0 0.5 1 GAMMA (-) sychophysiology 60 (2006) 225–239comparable magnitude in a frequency range of 25.28 Hz and 37.19 Hz. This gamma activity was not a response to the stimulus but a component that spontaneously occurred in the electroencephalogram (for a review, see Gottesmann, 1999). The results of TFCA were statistically analyzed using two parameters of the gamma activity as dependent variables: maximum Vp–p amplitude in the poststimulus early time window, ratio of the maximum Vp–p amplitude in the poststimulus early time window to that in the prestimulus interval. Since there were two dependent variables, data were analyzed using 222 multivariate analysis of variance (MANOVA) for the effect of gender (female, male), gamma status (G+ and G) and stimulus type (target, standard) with repeated measures at the last factor. Data were derived from the Fz recording site. As with the data on f-ERPs (Fig. 5), significant effects were obtained in the total model for gender (Wilks lambda: F(2,75)=3.58, p =.033) and gamma status (Wilks lambda: F(2,75)=11.55, p =.0001). Stimulus type and the interaction effects were not found significant. In MANOVA, each individual dependent variable was analyzed using a Bonferroni adjusted level of 0.25. The two groups of gender differed in the maximum Vp–p amplitude in the poststimulus early time window (F(1,76)=6.47, p =.013). The two groups of gamma status differed in both the maximum Vp–p amplitude in the poststimulus early time window males (F) and males (M) with time-locked early gamma response, G+ (left olumn), from the Fz recording site. First four figures: Time-frequency amma components. For TFCA representations: Y-axes/left: frequency in Hz; n has a scale that is proportional to the strength of its components. For time- ulation onset was marked with ‘‘0’’. gender was found nonsignificant with both types of data. Lack of an interaction effect showed that gender is not a al of Pdecisive factor in the gamma status. This conclusion was also reached through the chi-square test which showed that the gamma subtypes were homogeneously distributed over gender. Accordingly, the causal factor for the individual differences in the early, time-locked gamma response should(F(1,76)=18.08, p =.0001) and in the ratio of the maximum Vp–p amplitude in the poststimulus early time window to that in the prestimulus interval (F(1,76)=9.06, p =.004). Main effect of stimulus type and the interaction effects were not found significant for any of the dependent variables. 4. Conclusions The present literature acknowledges the early, time- locked gamma response as a reliable neuroelectic phenom- enon (Gurtubay et al., 2001; Herrmann and Mecklinger, 2001; Karakas¸ et al., 2001; Karakas¸ and Bas¸ar, 1998, 2004). Using time-domain (ERPs), frequency-domain (AFCs and f-ERPS) and time–frequency domain (TFCA) representa- tions, the frontocentral gamma response was also demon- strated in the present study in response to the conditions of the auditory oddball paradigm (Figs. 3 and 4). Individual differences in the gamma response have already been suggested in the previous literature (Jokeit and Makeig, 1994; Karakas¸ et al., 2001, 2003). There are a group of traits/characteristics in information processing such as field-dependence and handedness (Annett, 1970; Witkin et al., 1954). In terms of these traits/characteristics, there are two groups at either extreme: these would be field-depend- ence and field-independence or left handedness and right handedness. There is, however, a third group between the two extremes; this group shows varying amounts of the trait/ characteristics. Gamma status with G+ and G groups at the two extremes and the unclassifiable cases in between is one such trait/characteristics. The two extremes, G+ and G, were demonstrated in the present study with digital filtering (Fig. 5) and with TFCA (Fig. 6), a technique where neuroelectric components are simultaneously displayed in the time-frequency plane and where no assumption is made on system linearity and/or stationarity. Statistical analyses of the data obtained through digital filtering technique (maximum Vp–p amplitude in the poststimulus early time window) and through TFCA technique (maximum Vp–p amplitude in the poststimulus early time window, ratio of the maximum Vp–p amplitude in the poststimulus early time window to that in the prestimulus interval) showed that gender as well as the gamma status affected the amplitude/energy of the gamma component, with higher values in females than in males and higher values in the G+ group than in G group. However, the interaction between the gamma status and S. Karakas¸ et al. / International Journbe searched for not in gender differences but in other characteristics and/or processes. A genetic basis has beenfound of the beta frequency in human EEG (Porjesz et al., 2002). The investigation of a probable genetic basis of the time-locked gamma response should be among the pro- spective research areas in the field. According to a large group of studies, the time-locked, early gamma response represents the early stages of information processing that include sensory and perceptual operations (Gurtubay et al., 2001; for a review, Karakas¸ et al., 2001; Karakas¸ and Bas¸ar, 1998, 2004). Karakas¸ et al. (2003) further found evidence for top-down influences that involve higher cognitive processes on the bottom-up, sensory-perceptual, early gamma response. The difference in the early gamma response was found to be correlated with neuropsychological test scores on attention, learning, short- term memory and executive functions; G+ and G groups could be predicted from these scores with an overall success rate of 93.33%. The present study found individual differ- ences in gamma status which, however, did not depend on gender. The findings of the present study thus suggest that sensory-perceptual processing that the early time-locked gamma response represents (Karakas¸ and Bas¸ar, 1998) and the top-down influences on the early gamma response is not gender-specific (Karakas¸ et al., 2003). Such a conclusion and its implication should be extensively investigated, however, using standardized neuropsychological tests, complex research designs and advanced techniques of signal analysis. 4.1. ERPs considered within a context of the gamma response The poststimulus 0–150 ms time window of the early gamma response includes the N100 and N200 ERP peaks. As a group of other studies also did (Go¨lgeli et al., 1999; Nagy et al., 2003), the present study found that amplitudes of N100 and, in part, N200 were higher in males (Table 1, Figs. 3 and 4). However, this relationship was complex. Male superiority was obtained in the target-evoked response (Table 1). Meanwhile, in the standard-evoked response, there was a female superiority. There was thus an interaction between gender and stimulus type which was found significant (Table 2). When the sample was divided into G+ and G participants, the amplitudes of the negative peaks were not affected in females (Fig. 5). However, in G males, the differentiation of the N200 peak became less evident and this difference was found significant. In G males, N200 took place on an extended negativity that also included the N100 peak. Thus, if a sample consists of G males, the result will be lower N200 in males, or conversely, higher N200 in females. The higher amplitude N200 in females is what another group of studies in fact found (Barrett and Fulfs, 1998; Hoffman and Polich, 1999; Kasai et al., 2002). The foregoing results on N200 suggest that the conflicting sychophysiology 60 (2006) 225–239 237results in the literature may be due to experimental designs where variables (stimulus type, gamma status) that have the suggesting that females have a special position in attention and memory updating (Sutton et al., 1965; Polich and Kok, 1 and 2, Figs. 3 and 4). Thus, higher amplitudes would be obtained in females only in response to the target stimuli. al of PFurthermore, the effect on P300 was obtained only when the sample included both G+ and G participants (Table 2). When analysis was conducted on only the G+ females, this effect was not found significant. As in N200, the foregoing results on P300 suggest that the conflicting results in the literature may be due to experimental designs where variables (stimulus type, gamma status) that have the potential of interacting with the independent variable (gender) are not included in the experimental design. Thus, when studies do not include these factors as variables but one study uses one level of the variable and the other one uses the other level, conflicting results would be found. Shortly, also using techniques of time–frequency analy- sis, the present study showed that gender is not a factor in the individual differences concerning the status of the early gamma response. The amplitude variations in the ERP components (N100, N200, P300) can also not be explained solely on the basis of gender differences. 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