Aalen–Johansen · three states · monthly

Getting out of a division

Every dancer who reaches a WSDC division either climbs out of it or stops competing. This is how that race runs, one rung at a time — measured from the month the ceiling rose into the division, and followed for ten years.

Retirement is a competing event here, not censoring, so advanced, stopped competing and still climbing sum to 1 at every month. Censoring a dancer who quit would assume they were going to advance at the same rate as one who stayed.

Share who advanced, by month since entering the division Cumulative incidence of advancement. A curve flattening is not a ceiling on ambition — it is the corpus running out of follow-up. The labels at the right are each curve at month 120, which is where the chart stops; the tiles above carry the same curves at the end of their follow-up, which runs further and so sits a few points higher.

The rug shares the axis above it. Each mark is a month in which dancers left observation still un-advanced and still competing — censored, not retired. Censoring happens in nearly every month here, so the usual tick-on-the-line convention would draw a second solid line over the first; the rug keeps the shape instead, and the exact counts are in the table below.

Numbers at risk, with advanced and censored counted cumulatively to that month.

Where everyone ends up

The same cohorts, decomposed. The three bands account for the whole population of the rung at every month, so what each panel answers is not "how fast do people advance" but "of everyone who was here, where are they now".

Advanced, stopped competing, still climbing Stacked cumulative incidence. The bands sum to 1 by construction, never by normalising afterwards.

How much of this is the cutoff?

"Stopped competing" is a heuristic: a dancer with no scoring placement for 25 months reads as retired. Re-running the estimate at 12 and 36 months shows how much of the headline belongs to the rule rather than to the dancers.

Terminal advanced share against the retirement cutoff

Read this as the width of the answer. The 25-month cutoff is the one every other number on this page uses. The spread between the 12- and 36-month runs is neither error nor noise — it is the part of "how many advance" that the cutoff decides.

What these numbers are not

The caveat that travels with the metric

Excluded, and counted

Incomplete era

Table view — every plotted month, every division

Rows step through the plotted range, 0–120 months. The terminal row carries the end of the full curve, which runs further than the chart does — out to month , on a risk set of one.