The responses you see in the ERP are usually from the generation of a dipole, the field of which is picked up at different electrode locations. Thus, some will pick up the positive end, and others will pick up the negative end.
The shape of the response that you get depends on many factors and, among them, on the reference that you use and on the baseline correction.
As general rule the acquisition reference should be on extra-cefalic (it is suggested on the nose and it suits more or less all the erp). Then if you want to apply source reconstruction, it is advisable to move to average reference.
Regarding baseline correction there is not a clear rule. The crucial point is to design a task. Indeed, the inter stimulus interval should be long enough to guarantee a period during which there is no EEG change time locked to the event: that can be the baseline that you use. A jitter is advisable as well. Hope it helps
(1) If you're using an average reference, then of course any time that half of your electrodes are showing a positive response, the other half must show a negative response, in order for the average to remain the same.
(2) What Nik said about dipoles. EEG is picking up the electrical field generated by neurons, right, and that electrical field has a negative end and a positive end, which are directed 180 degrees away from each other. If the dipole is oriented so that you're picking up positive voltage at the posterior of the skull, then you're likely picking up negative voltage at the anterior end.
Without looking at what you're looking at, my money's on it being the "average reference" effect.
This is often called phase reversal as the phase of your waveform is 180 degrees reversed. As mentioned above, if you have an electrical generator (dipole) in the brain, you will see a phase reversal at oposing sites of your surface head.
Yes, it's clear but I meant why the anterior part responses is a mirror (same exactly with reversed phase) responses of posterior part in all electrodes?
Positive and negative signal depends on which way the dipole producing the signal is pointed in the brain. For instance if a population of neurons are producing a positive signal in one area of the brain there will be a negative signal 180 degrees in the opposite direction...just like any electrical circuit. For instance you can see a positive signal in occipital electrodes and 180 degrees opposite this signal you will see a negative signal in frontal electrodes. As Stephen mentioned this signals travels via volume conduction. This information is covered in detail in Steve Luck's ERP book http://mitpress.mit.edu/books/introduction-event-related-potential-technique
Question for Abigail: If average-referencing means that opposite ERP patterns are observed for sites that are on opposite regions of the scalp, does this not mean we get significant effects in these regions as a consequence? For example, if I observe a LAN (negativity) in central-left sites, does this mean I'll see a significant positive deflections in right-central sites (solely as a consequence of negativity at left-central sites)? Does this throw up problems for analysis?
If this has/is causing major problems then you can mention the components that you are interested in, as well as this referencing/dipole effect and just measure them independently of their sign (use the rectified /absolute potential).