When switching to WordPress, I changed the URL of my counter as well, and included the scripting part in the footer of the page. It creates this icon 
, and when displayed, you’re counted. But when experimenting with themes or other settings, I view my own pages a lot. So yesterday was a day with a lot of hits. Today I added some code to the template, to show the icon only to people not logged in, which basically counts me out.
The code:
<?php if (!current_user_can('edit_posts')) { ?>
and right behind the scripting part:
<?php } ?>