Talk:Sten scores

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Statistics

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Percentile Calculation[edit]

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[edit]

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)[reply]