Talk:Sten scores

Percentile Calculation
The percentages were listed with one decimal while the percentiles are rounded to whole numbers. Either is fine, but together they are inconsistent. And given that stens of 1 and 10 comprise only 2.28% (actually, 2.2750%) of the population, I think the first decimal can be practically significant. So, I'm adding a couple decimals to the percentile and showing the percent to two decimals as well.

I wanted to leave a note about how the percentile is calculated because there's both confusion and disagreement. Percentiles are the percentage of the population below a score, but one common interpretation holds that no score should be assigned a 0TH or 100TH percentile, which occurs with some simplistic calculations; for example, there are 0% of the population with a sten below 1 so the percentile of a sten of 1 could be seen as the 0TH. However, others would see this as wrong. The reasoning for the alternative view is that a sten of 1 is the midpoint of an interval comprised of 50% who (a) scored below 1 but (b) were rounded up as well as 50% who (a) scored above 1 but (b) were rounded down. Because there are 2.2750% of the population within a sten of 1, this implies that 2.2750% / 2 = 1.1375% are "below" a sten of 1 and thus the percentile rounded to two decimals is 1.14. Similarly, the percentile for a sten of 2 with 4.4057% of the population is (2.2750% + (4.4057% / 2)) = 4.4779 ~= 4.48. Amead (talk)

z-scores
Regarding z-scores it is important that it's NOT written in capital letters, since those are a different kind of standardized scores. Sources I could quote are all in German, so please bear with me... ;) 141.76.179.208 (talk) 17:04, 13 February 2023 (UTC)