There are different tags for mod-pagespeed and page-speed, but these seem largely the same tag. They should be synonymed.

this is the tootip infos

• mod-pagespeed

PageSpeed Module speeds up your site and reduces page load time. This open-source webserver module automatically applies web performance best practices to pages and associated assets (CSS, JavaScript, images) without requiring that you modify your existing content or workflow.

• page-speed

PageSpeed is a WebServer module that automatically optimizes pages and the resources they use. Google offers it as a free service through their DNS product.