#statistics

  1. 26 times black

    This famously occurred in Monte Carlo Casino in 1913.

  2. 5 Statistics facts

    Even a rudimentary look at probability can give new insights about how to interpret data.

  3. 68–95–99.7 Rule

    [](http://en.wikipedia.org/wiki/File:Standard_deviation_diagram.svg)

  4. Absurd Statistics

    The probabilistic syllogism of hypothesis testing has the same structure as the following simple example (devised by Jeff Gill in his…

  5. Accuracy vs Precision
  6. Addition Rules for Probability

    Let's use this addition rule to find the probability for Experiment 1.

  7. Adjusted Risk Ratios versus Adjusted Odds Ratios

    Risk ratios (RR) and odds ratios (OR) are both used to analyze factors associated with increased risk of disease.

  8. All of these datasets have the same mean, standard deviation, and Pearson's correlation

    MP4 movie

  9. Average word length

    Average English world length is 5.10 letters. For comparison, Korean averages 3.05 letters and the German average is 6.26 letters.

  10. Brier score - Wikipedia

    Source URL https://en.wikipedia.org/wiki/Brier_score

  11. Brier score 1

    If we are serious about measuring and improving, forecasts must have clearly defined terms and timelines.

  12. Chernoff bound in statistics

    Rating ★★★★★

  13. Clustered Regression
  14. Common Error Variance (Mean squared error)

    The plot of our population of data suggests that the college entrance test scores for each subpopulation have equal variance.

  15. Common Probability Errors to Avoid

    If you’re trying to gain a rapid understanding of a new area, one of the most important things you can do is to identify common mistakes…

  16. Confidence interval

    A confidence interval is an interval in which a measurement or trial falls corresponding to a given probability.

  17. Converting between nines and sigmas

    Nines and sigmas are two ways to measure quality.

  18. Correlation

    The benefit of using a correlation coefficient to measure the relationship between two variables as opposed to using covariance is that…

  19. Correlation Not Causation

    We can only hope that the chart below, which shows a rather disturbing linkage between consumption of chocolate (in kg/yr/capita) and…

  20. Correlation vs. Cointegration

    Correlation and cointegration, while theoretically similar, are not the same.

  21. Definitions

    In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random…

  22. Difference Between the Arithmetic Mean and the Geometric Mean

    There are many ways to measure financial portfolio performance and determine if an investment strategy is successful.

  23. Ergodicity

    Why are election polls often inaccurate? Why is racism wrong?

  24. Explaining probability to a jury

    In a jury of 12 people, it’s not likely that many will understand probability.

  25. Fog factor readability & Language stats

    The 'fog factor' is a writer's yardstick to measure the acceptability of written work.

  26. General birthday problem

    The birthday problem, sometimes called the birthday paradox, says that it’s more likely than you’d expect that two people in a group have…

  27. Geometric Average vs. Arithmetic Average For Investment Returns

    When considering investment returns it is the geometric average, not arithmetic average, that matters.

  28. Gibbs sampling

    In statistics and in statistical physics, Gibbs sampling or a Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm for obtaining a…

  29. Gompertz curve function

    The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865).

  30. Granger causality

    The Granger causality test is a statistical hypothesis test for determining whether one time series is useful in forecasting…

  31. Info & Tools

    real-statistics.com Free Excel add-in with statistic tools

  32. Language statistics

    The length of sentences in English, and I don't know anything worth a blow about other languages, is a function of the intelligence of the…

  33. Law of large numbers

    Jakob Bernoulli first proved this theorem regarding large numbers, which many of us know from our studies of statistics.

  34. Lying Statistics
  35. Medical

    The most common one concerns the interpretation of evidence.

  36. Misunderstanding P Value

    Today's column, by Nicholas Balakar, is in error. The column begins:

  37. Noise detection

    As I am writing these lines I see the following headlines on my Bloomberg: - Dow is up 1.03 on lower interest rates. - Dollar down 0.12…

  38. Non-ergodicity

    The following conundrum is like one that Peters used but illustrates the point a little better.

  39. Normal distribution
  40. Normal distribution 1
  41. Overview of time series forecasting models

    This article provides an overview of the main models available for modelling time series and forecasting their evolution.

  42. P-value

    In statistical hypothesis testing, the p-value is the probability of obtaining a test statistic at least as extreme as the one that was…

  43. Paradoxes of Probability & Statistical Strangeness

    You don’t have to wait long to see a headline proclaiming that some food or behavior is associated with either an increased or a decreased…

  44. PDF
  45. Precision
  46. Prediction versus Confidence interval

    Saying something may happen with 80% probability and sizing your trade against that chance isn't the same as predicting that it will…

  47. Quotes

    Causality: There is another problem; even assuming statistical significance, one has to accept a cause and effect, meaning that the event…

  48. Ramanujan number 1719
  49. Randomness

    Pareidolia – the psychological phenomenon of perceiving patterns in randomness

  50. Risk vs Uncertainty

    Already in 1921, the American economist Frank Knight distinguished risk from uncertainty.

  51. Shaking a ladder Monte Carlo in everyday life

    In Flaw of Averages, Sam Savage uses the illustration of shaking a ladder to explain why someone would want to use Monte Carlo simulation.

  52. Simpson's Paradox

    Simpson's Paradox occurs when a trend observed in aggregated data reverses when the data is divided into subgroups, often due to the…

  53. Six Sigma events

    I saw on Twitter this afternoon a paraphrase of a quote from Nassim Taleb to the effect that if you see a six-sigma event, that’s evidence…

  54. Social Desirability in Polling

    Mark Twain is credited with introducing into the American vernacular the phrase, “Lies, damned lies and statistics.”

  55. Standard Deviation

    One standard deviation away from the mean in either direction on the horizontal axis (the red area on the above graph) accounts for…

  56. Statistical libraries

    Tutorial On Principal Component Analysis with the Accord.NET Fetching Data#tm8r

  57. Statistics

    https://rverseanalytics.com/tools

  58. Taxi Cab Numbers

    In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), is defined as the smallest number that can be expressed as…

  59. The gold standard for discovery is 5-sigma

    To physicists, the gold standard for a discovery is what they call a "5-sigma" bump, where sigma is a measure of bumpiness known as a…

  60. Understanding probabilities in Medicine

    A test of a disease presents a rate of 5% false positives.

  61. Zipf's Law

    EVER USED THE word "snowcrie"? I doubt it. In fact, "snowcrie" doesn't even have a definition.

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