#statistics
- 26 times black
This famously occurred in Monte Carlo Casino in 1913.
- 5 Statistics facts
Even a rudimentary look at probability can give new insights about how to interpret data.
- 68–95–99.7 Rule
[](http://en.wikipedia.org/wiki/File:Standard_deviation_diagram.svg)
- Absurd Statistics
The probabilistic syllogism of hypothesis testing has the same structure as the following simple example (devised by Jeff Gill in his…
- Accuracy vs Precision
- Addition Rules for Probability
Let's use this addition rule to find the probability for Experiment 1.
- 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.
- All of these datasets have the same mean, standard deviation, and Pearson's correlation
MP4 movie
- 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.
- Brier score - Wikipedia
Source URL https://en.wikipedia.org/wiki/Brier_score
- Brier score 1
If we are serious about measuring and improving, forecasts must have clearly defined terms and timelines.
- Chernoff bound in statistics
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- Clustered Regression
- 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.
- 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…
- Confidence interval
A confidence interval is an interval in which a measurement or trial falls corresponding to a given probability.
- Converting between nines and sigmas
Nines and sigmas are two ways to measure quality.
- Correlation
The benefit of using a correlation coefficient to measure the relationship between two variables as opposed to using covariance is that…
- 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…
- Correlation vs. Cointegration
Correlation and cointegration, while theoretically similar, are not the same.
- Definitions
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random…
- 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.
- Ergodicity
Why are election polls often inaccurate? Why is racism wrong?
- Explaining probability to a jury
In a jury of 12 people, it’s not likely that many will understand probability.
- Fog factor readability & Language stats
The 'fog factor' is a writer's yardstick to measure the acceptability of written work.
- 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…
- Geometric Average vs. Arithmetic Average For Investment Returns
When considering investment returns it is the geometric average, not arithmetic average, that matters.
- 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…
- 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).
- Granger causality
The Granger causality test is a statistical hypothesis test for determining whether one time series is useful in forecasting…
- Info & Tools
real-statistics.com Free Excel add-in with statistic tools
- 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…
- Law of large numbers
Jakob Bernoulli first proved this theorem regarding large numbers, which many of us know from our studies of statistics.
- Lying Statistics
- Medical
The most common one concerns the interpretation of evidence.
- Misunderstanding P Value
Today's column, by Nicholas Balakar, is in error. The column begins:
- 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…
- Non-ergodicity
The following conundrum is like one that Peters used but illustrates the point a little better.
- Normal distribution
- Normal distribution 1
- Overview of time series forecasting models
This article provides an overview of the main models available for modelling time series and forecasting their evolution.
- 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…
- 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…
- Precision
- 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…
- Quotes
Causality: There is another problem; even assuming statistical significance, one has to accept a cause and effect, meaning that the event…
- Ramanujan number 1719
- Randomness
Pareidolia – the psychological phenomenon of perceiving patterns in randomness
- Risk vs Uncertainty
Already in 1921, the American economist Frank Knight distinguished risk from uncertainty.
- 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.
- 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…
- 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…
- Social Desirability in Polling
Mark Twain is credited with introducing into the American vernacular the phrase, “Lies, damned lies and statistics.”
- 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…
- Statistical libraries
Tutorial On Principal Component Analysis with the Accord.NET Fetching Data#tm8r
- Statistics
https://rverseanalytics.com/tools
- 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…
- 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…
- Understanding probabilities in Medicine
A test of a disease presents a rate of 5% false positives.
- Zipf's Law
EVER USED THE word "snowcrie"? I doubt it. In fact, "snowcrie" doesn't even have a definition.