When this anchor will contain only one function to handle on click, than you can just write
document.getElementById('anchorID').onclick=function(){/* some code */}
otherwise, you have to use DOM method addEventListener
function clickHandler(){ /* some code */ }
var anchor = document.getElementById('anchorID');
if(anchor.addEventListener) // DOM method
anchor.addEventListener('click', clickHandler, false);
else if(anchor.attachEvent) // this is for IE, because it doesn't support addEventListener
anchor.attachEvent('onclick', function(){ return clickHandler.apply(anchor, [window.event]}); // this strange part for making the keyword 'this' indicate the clicked anchor
also remember to call the above code when all elements are loaded (eg. on window.onload)
-- edit
I see you added some details. If you want to replace the code below
$("a.scroll-up, a.scroll-down").click(function(){SNavigate($(this).attr("href").substr(7));return false;});
with sth that doesn't use jQuery, this should do the job
function addEvent(obj, type, fn) {
if (obj.addEventListener)
obj.addEventListener(type, fn, false);
else if (obj.attachEvent)
obj.attachEvent('on' + type, function() { return fn.apply(obj, [window.event]);});
}
addEvent(window, 'load', function(){
for(var i=0, a=document.anchors, l=a.length; i<l;++i){
if(a[i].className == 'scroll-up' || a[i].className == 'scroll-down'){
addEvent(a[i], 'click', function(e){ SNavigate(this.href.substr(7)); e.returnValue=false; if(e.preventDefault)e.preventDefault();return false});
}
}
});