Does the fact that sites hosted with the same hosting provider and
sometimes having the same IP Address affect page rank?

My argument is that in some cases it is impossible to totally control that.
If someone hosts exclusively with APlace4UOnline.com
or some other shared hosting provider, Goggle should not penalize all of that
person’s or persons’ sites. Or let’s say that Company A host on APlace4UOnline.com
and so does Company B and Company C. Company A has links from B and C because
they have a product that the other sites thinks would be useful to their readers,
but their relationship stops there. Why should Google punish all three companies
because they have similar ip addresses.

Here is an article I found in my quest for SEO Perfection
on Sabahan.com titled Is
Your Site’s IP Address Affect Your SEO and PageRank?.

Keyword Effectiveness Index (KEI) compares a keyword’s daily world searches value to the number of Web pages competing for the given keyword. This helps you pinpoint the keywords that are good enough to optimize your website for. Keywords with the highest KEI combine higher popularity and less competition. That means you will have more chances to attain high rankings in case you use these keywords for optimization.

The pupose of this site is to document the process efficient and successful Search Engine Optimization . You will find links to articles about Search Engine Optimization,  SEO Blogs, Webmaster Tools, and downloadable software to help you in your quest for Search Engine Optimization Perfection.

I hope you find this site helpful. If you do please leave a comment.