How important is adding Google Analytics for SEO?

[nicole.healthline]

Ann Smarty mentions in a post (http://www.searchenginejournal.com/200-parameters-in-google-algorithm/15457/)  the addition of Google Analytics adds SEO value.

We have a different analytics tool, do you think it is necessary to add Analytics? How important do you think it is?

[Syed1]

Adding Google Analytics is not absolutely necessary but there could be a lot of advantages over your current analytics.
Since Google also provides a bunch of other tools  and services like PageSpeed, Adwords, it integrates rather pretty well with analytics and could potentially give you a better view.

Why not add it? It hardly takes any time to integrate (if you have a common page element) and it barely adds to site load time.