Pagerank = it is a way Google measures inbound link rating... Although PR is not that important anymore, PR is just used as a reference only.
Why are you trying to improved Alexa rank? Since alexa is only a rank of a site based on estimated traffic. I don't think it affect rankings.
Alex rank and page rank are totally different. Alex rank decide from your daily website traffic and page rank generated by Google according to your particular page's quality and link popularity.
PR just displays how importance that specific page is for visitors, according to Google. Now, PageRank is just to impress the Client and attract more link builders, nothing more then that!
i think if you go to google and search about page rank and do some reading then ask questions you will be more clear..
PR is as important as people want to make it. I'd say that having a nice PR5 or PR6 is a great tool from a marketing perspective, whether it affects the search engines or not.
I've written a free resource for beginners, it majors of bloggers but is equally applicable for website owners. It includes how to anchor text correctly etc. The article is entitled Make Money Online From Blogging
According to Wikipedia PageRank is a link analysis algorithm that assigns a numerical weighting to each element of a hyperlinked set of documents, such as the World Wide Web, with the purpose of "measuring" its relative importance within the set. The algorithm may be applied to any collection of entities with reciprocal quotations and references. The numerical weight that it assigns to any given element E is also called the PageRank of E and denoted by PR(E).
i've just checked this thread and you are facing many queries about SEO, so @Alisha its Harder to Explain some important factors in 1-2 paragraph and it will also difficult for you to understand all the SEO theory in short answers. so better would just google your all the queries. Pagerank, link popularity etc.. First you should read the complete google webmaster guidelines and after that check the seobook.com, you can also browse and search DP's some important past threads. it will better for you and your websites optimization work. see here is the answer which you asked about link popularity : Link popularity is a general Representation of the Total number of web pages which link to a website (or individual web page). Most of the major search engines support the "link:" operator. enter in “link:†(without the quotation marks) in front of the URL about which you want to learn. you can use tools to check the link popularity like seochat, seochat.com/seo-tools/link-popularity/ Thanks John