The people talking about ratios of larger pages are lower than those of small pages, implying a diminishing capacity to engage the higher the number or fans.  This is true at the extremes (very large and relatively small pages) but appears not to be so true for the pages that sit “in the center” of our sample.

On the other hand, while fan growth rate at one stage will be negatively correlated with page size, it is less clear why a big page should be less engaging than a small one. Other factors (product type, industry, publishing policy,…) probably play a more important role.