The problem seems to be occurring from WordPress HTTPS' output buffering interfering with Web Ninja Google Analytics.
I don't think there's much I can do with WordPress HTTPS since it heavily relies on output buffering. The problem seems to stem from graphs being generated on the post/page admin areas by Web Ninja Google Analytics.
Basically, output buffering captures all the PHP output and buffers it until the page is done loading. Since the analytics plugin adds so much load time to the page, the page times out. I fixed the plugin by adding
ob_flush() to the methods that generate the graphs. For example:
function gad_pages_custom_column($column_name, $page_id)
gad_posts_pages_custom_column($column_name, $page_id, 'page');
You may want to let the developer know so that they can put it in the next version of their plugin. If they have any questions you can point them toward this thread.