I want to increase page rank on my main index blog page and categories.
If i remove the links to my posts from my index page and have only links to categories, will that help? Anyone tried it?
If you want to increase your PageRank see this answer for how to do that
No. That's not how PR works. A page's PR is not changed by the number of links on it. It is changed by the number and quality of links to it.
I wouldn't worry about PR. Its role in Google's algorithm is clearly diminished. Instead focus on improving your content and attracting quality links.
Why are you concerning yourself with pagerank in the first place?
Do not try to game the system. PLus the page rank meter is not the true page rank of your site.
Build many dofollow incoming links from a variety of sources to gain rank to your home page.