I appreciate your feedback, thanks.  My comments:  1.  APC charts are used when k = t or time.  APC scores apply when k is more general, the binomial distribution is assumed.  Which has but one parameter to estimate.  I understand ANOM charts to estimate both mean and variance separately, which does not apply.  Although ANOM does use the idea of charting over non-temporal variables, my article does not.

2.  I had several PH.D. Mathematicians and Statisticians review the article before it was published.  Quality Digest had a well known quality expert provide feedback as well.

3.  I understand the Laney chart is used when the binomial distribution does NOT apply -- when there is overdispersion or underdispersion, i.e., when the width of the control limits is too tight or too loose.  This is not the problem I address.  I identify and offer a solution to the bias problem demonstrated with regular percentages when comparing subgroups over time (or members across a group).

4.  Perhaps the Z chart transformed back to the P' chart scale is what you mean?  Please let me know if this solves the sorting problem I present in my article.  I found one example online where the P' chart had WIDER limits when subgroup size varied, but the limits varied.  The APC scores adjust the actual "percentage" computation, not the width of the limits compared to binomial determined ones.  Further, I am working on a more Robust APC method, which will certainly have advantages over the Laney tool.