addEventListener, for(), index. how to use closure?

I have this code:

var items = this.llistat.getElementsByTagName('a');

for( var i = 0; i < items.length; i++ ){    
  items[i].addEventListener('click', function(event) {
    alert( i );
  }, items[i]);
}

where the event is listened, but there are 3 items and the alert allways print 3 on any of the elements (it doesn't respect the index),

Dosen't items[i] shouldn't do the job as closure?

thanks!