“Statistical Notes § Inferring Mean IQs From SMPY/TIP Elite Samples”, Gwern2014-07-17 (R, high IQ, order statistics; similar)⁠:

Miscellaneous statistical stuff

Samples taken from the extremes of mixtures of distributions can have very different properties than random samples, such as the tail effect of wildly disproportionate representation of one distribution due to order statistics/threshold selection.

This can be used to infer differing means.

I demonstrate working backwards from the racial composition of SMPY/TIP samples of extremely (1-in-10,000) gifted youth to estimate the overall racial means, which is consistent with the known racial means and hence an unbiased selection process, using ABC to infer Bayesian credible intervals on the estimated means.

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• “Someone Should Do Something”: Wishlist of Miscellaneous Project Ideas
• Estimating Censored Test Scores
• The Traveling Gerontologist Problem
• Bayes Nets
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• Genome Sequencing Costs
• Proposal: Hand-Counting Mobile App for More Fluid Group Discussions
• Air Conditioner Replacement
  • Parameters
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    • Discounting
  • Sensitivity Analysis
• Some Ways of Dealing With Measurement Error
• Value of Information: Clinical Prediction Instruments for Suicide
• Bayesian Model Averaging
• Dealing With All-Or-Nothing Unreliability of Data
  • Binomial
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      • ABC
      • Mixture
      • Weakening Heuristic?
• Dysgenics Power Analysis
  • Selection on SNPs
  • Mutation Load
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  • Genetic Data Availability
    • Proprietary
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• Power Analysis for Racial Admixture Studies of Continuous Variables
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    • Mean Population European Ancestry & Population Standard Deviation
    • Power Simulation
• Operating on an Aneurysm
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• The Power of Twins: Revisiting Student’s Scottish Milk Experiment Example
• RNN Metadata For Mimicking Individual Author Style
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• Inferring Mean IQs From SMPY/TIP Elite Samples
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• Detecting Fake (human) Markov Chain Bots
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• Model Criticism via Machine Learning
• Proportion of Important Thinkers by Global Region Over Time in Charles Murray’s Human Accomplishment
• Program for Non-Spaced-Repetition Review of past Written Materials for Serendipity & Rediscovery: Archive Revisiter
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    • Doubling Interval
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• Little’s Law in the Wild
• Tail Collapse

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