I was experiencing an issue with iAnalytics that seems to be the same as demonstrated on your online demo - so i thought it was worth highlighting.  If I click the Preview hyperlink next to a Keyword or Found item listing it goes to a page with no search results.

So I've updated this file: ianalytics/upload/admin/view/template/module/tab_dashboard.tpl

Lines 23 and 30 changed "filter_name" to "search" eg: <a href="../index.php?route=product/search&search=

Now it seems to work ok for me. 

Hello John,

Thank you for reporting this. We have released a new version of iAnalytics, where this issue is addressed. 

Surely, when we introduce reward points in Q3 next year, we will make sure you get your portion for this report.