Timeline for When sampling a population for surveys we can often limit our sample size to hundreds, but when doing a Monte Carlo simulation we need way more. Why?
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Oct 30, 2022 at 0:00 | history | tweeted | twitter.com/StackStats/status/1586508197900308480 | ||
Oct 26, 2022 at 23:40 | vote | accept | Tim Molendijk | ||
Oct 25, 2022 at 9:53 | comment | added | Carl | It is a horse of a different color. That is, if the objective of a procedure is to arrive at an answer that is precise to within a few percent, then that objective is not the same as testing whether A or B is more explanatory of C. The lesson is to first identify the objective of a test, and only thereafter worry about sample size to guarantee power. | |
Oct 24, 2022 at 20:39 | comment | added | Robbie Goodwin | Can you re-phrase that? Samples of hundreds or thousands are often sufficient, for populations however large. Where is it written that you can, or might want to extend that to Monte Carlo simulations, of a multi-parameter model or not? How is any simulation thought of as representing a sample of the larger population of all possible simulations (the solution space) related to the Question or its exposition? The solution space of a multi-dimensional problem can be very large, and how does the survey/poll scenario tell you that doesn’t mean the sample size will need to be large. | |
Oct 24, 2022 at 5:19 | comment | added | Jyrki Lahtonen | What are the relative probabilities? Top performance often means a low probability of failure, and to get even one significant digit into the outcome of a simple Bernoulli trial you need to run the sim until you get 200 failure events or so. Personally I had to battle with this when working in telcomm, and the target quality of service was bit error probability in the ball park of $10^{-12}$ or so (I would run "quick Monte Carlo" sims pitting competing suggestions down to $10^{-9}$ and expecting the trend on the error curves as a function of SNR to continue). | |
Oct 23, 2022 at 18:35 | answer | added | Cliff AB | timeline score: 7 | |
Oct 23, 2022 at 13:13 | answer | added | dipetkov | timeline score: 0 | |
Oct 23, 2022 at 12:58 | history | edited | Tim Molendijk | CC BY-SA 4.0 |
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Oct 23, 2022 at 9:44 | answer | added | Elchanan Solomon | timeline score: 11 | |
Oct 23, 2022 at 8:03 | history | became hot network question | |||
Oct 23, 2022 at 3:54 | answer | added | civilstat | timeline score: 12 | |
Oct 22, 2022 at 18:35 | review | Close votes | |||
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Oct 22, 2022 at 18:15 | answer | added | Alex | timeline score: 16 | |
Oct 22, 2022 at 18:12 | history | edited | Tim Molendijk | CC BY-SA 4.0 |
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Oct 22, 2022 at 18:06 | history | edited | Tim Molendijk | CC BY-SA 4.0 |
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S Oct 22, 2022 at 17:58 | review | First questions | |||
Oct 22, 2022 at 18:16 | |||||
S Oct 22, 2022 at 17:58 | history | asked | Tim Molendijk | CC BY-SA 4.0 |