Ya… i need to expand on that in the post—we have that sort of understanding of how the averages fail (‘average temperature in a hospital’), but we don’t seem to apply it well to correlations (which are still just averages).
edit: your brief note is great. You can expand on something popular—e.g. IQ tests—consider different IQ scores and what they actually tell about probability of individual doing this well or this badly on another IQ test (using correlation between 2 IQ tests). Or assuming that there is some ‘IQ’ that IQ tests correlate with, what does IQ test actually tell about the IQ.
Ya… i need to expand on that in the post—we have that sort of understanding of how the averages fail (‘average temperature in a hospital’), but we don’t seem to apply it well to correlations (which are still just averages).
edit: your brief note is great. You can expand on something popular—e.g. IQ tests—consider different IQ scores and what they actually tell about probability of individual doing this well or this badly on another IQ test (using correlation between 2 IQ tests). Or assuming that there is some ‘IQ’ that IQ tests correlate with, what does IQ test actually tell about the IQ.