You can disable Analog or Awstats or Webalizer stats in a cpanel server via backend by editing the file “/var/cpanel/cpanel.config”.

1.Check for the variables skipanalog, skipawstats, skipwebalizer in the file and change the values  of the variables to one. Now the variables should look like as follows:

Save the changes and restart the cpanel service in the server.

Now the all the three stats will be disabled server wide.