Within JPDeni's tutorial she also has a great chart for setting permissions.
I think what you would want to use to only allow the user to view, modify and delete their own records would be:
$auth_no_authentication = 0;
$auth_allow_default = 0;
# Default permissions used if there is no authentication, or for a default user. (View, Add, Delete, Modify, Admin), 1 = enable, 0 = disable.
@auth_default_permissions = (0,0,0,0,0);
$auth_signup = 1; ## turned off to not allow others to enter new records
@auth_signup_permissions = (1,1,0,1,0);
$auth_modify_own = 1;
$auth_view_own = 1;
$auth_user_field = 19; ### change this to the field number for your Userid field
If you only want them to view and not modify or delete this will work:
@auth_signup_permissions = (1,0,0,0,0);
Hope this helps
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