# Revisiting Francis Galton's Forecasting Competition

@article{Wallis2014RevisitingFG, title={Revisiting Francis Galton's Forecasting Competition}, author={Kenneth Frank Wallis}, journal={arXiv: Methodology}, year={2014} }

This note reexamines the data from a weight-judging competition described in an article by Francis Galton published in 1907. Following the correction of some errors, it is shown that this forecasting competition is an interesting precursor of two more recent developments in the statistical forecasting literature. One is forecast combination, with the mean forecast here exactly coinciding with the outcome, and the second is the use of two-piece frequency and probability distributions to describe…

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## References

SHOWING 1-10 OF 17 REFERENCES

### Darwin, Galton and the Statistical Enlightenment

- Mathematics
- 2010

Summary. On September 10th, 1885, Francis Galton ushered in a new era of Statistical Enlightenment with an address to the British Association for the Advancement of Science in Aberdeen. In the…

### The Combination of Forecasts

- Environmental Science
- 1969

Two separate sets of forecasts of airline passenger data have been combined to form a composite set of forecasts. The main conclusion is that the composite set of forecasts can yield lower…

### Galton's Two Papers on Voting as Robust Estimation

- Business
- 2002

The relationship between voting and robust estimation was discussed by Francis Galton in 1907. His two papers in Nature are discussed and reprinted.

### A Generalized Asymmetric Student-t Distribution with Application to Financial Econometrics

- Economics, Mathematics
- 2009

This paper proposes a new class of asymmetric Student-t (AST) distributions, and investigates its properties, gives procedures for estimation, and indicates applications in financial econometrics. We…

### The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries

- History
- 2014

This paper traces the history of the two-piece normal distribution from its origin in the posthumous Kollektivmasslehre (1897) of Gustav Theodor Fechner to its rediscoveries and generalisations. The…

### The History of Statistics: The Measurement of Uncertainty before 1900

- Mathematics
- 1986

Introduction PART 1: The Development of Mathematical Statistics in Astronomy and Geodesy before 1827 1. Least Squares and the Combination of Observations Legendre in 1805 Cotes's Rule Tobias Mayer…

### Measuring Skewness with Respect to the Mode

- Mathematics
- 1995

Abstract There are several measures employed to quantify the degree of skewness of a distribution. These have been based on the expectations or medians of the distributions considered. In 1964, van…

### Vox Populi

- PsychologyNature
- 1907

IN these democratic days, any investigation into the the trustworthiness and peculiarities of popular judgments is of interest. The material about to be discussed refers to a small matter, but is…

### Memories of My Life

- HistoryNature
- 1908

THOSE who are interested in the history of the growth of science in this country and in the men who participated in its development will thank Dr. Galton for having provided them with a…