3 ms·
Sum of N independent similarly distributed variables (questions), will tend to be normally distributed, that the central limit theorem, no need to manufacture a
by EVa5I7bHFq9mnYK 2y ago
Sum of N independent similarly distributed variables (questions), will tend to be normally distributed, that the central limit theorem, no need to manufacture anything.
- mjburgess 2y agoThey're not independent.
- deleted 2y ago[deleted]
- EVa5I7bHFq9mnYK 2y agoYeah, if one answers question A correctly, they is more likely to answer question B correctly, right?
- mjburgess 2y agoIndeed. The whole premise of the activity is that they are highly correlated. The imposition of a normal distribution is done ad-hoc at the population level. All it says is that if scores were normally distributed, then "people would be so-and-so comparable". Almost all assumptions of this method are false. Any time anyone mentions the central limit theorem in applied stats is a warning sign for pseudoscience. If reality existed at the end of the CLT, it would be in heat death.