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One can imagine that the SERP position vs. difficulty graph looks like 1/x where the y-axis is difficulty and the x-axis is SERP position. Thus, measuring improvement would involve summing 1/$current_serp_position - 1/$previous_serp_position for each term. This is obviously very crude, has anyone come up with a more refined and accurate way to measure this?
Are there any good books that you guys have read? I know there are plenty of books on these topics individually but I was looking for something that tied these topics together and made it understandable / relevant for a novice