Define attributes as an anonymous object.
<%= Html.Radiobutton( "Kingdom",
"All",
true,
new { onclick = "GetSelectedItem(this);" } ) %>
or better yet, apply the handler unobtrusively with javascript (e.g. uses jQuery).
<%= Html.RadioButton( "Kingdom", "All", true ) %>
<script type="text/javascript">
$(function() {
$('input[name=Kingdom]').click( function() {
GetSelectedItem(this);
});
});
</script>