weldon: Weldon's Dice Rolls
In jrnold/datums: Miscellaneous Data Sets
Description
Usage
Format
Source
References
Description
In order to test how well probability theory represented the real-world, Frank Weldon threw 12 dice 26,306 times. For each throw, he recorded the number of dice that showed a five or six. Pearson analyzed this data in 1900, and compared it to the implied values of a binomial distribution.
Usage
1
Format
A data frame with 13 rows and 4 columns.
name type description
n "integer" Number of dice showing five or six in the throw of 12 dice.
observed "integer" Number observed in Weldon's data
theoretical "integer" Theoretical values assuming theta = 1/3.
pearson "integer" Pearson's corrected theoretical values using theta = 0.3377.
Source
Stigler, Stephen M. (2016) The Seven Pillars of Statistical Wisdom, p. 184
References
Stigler, S. M. (2016) The Seven Pillars of Statistical Wisdom.
Pearson, K. (1900) “On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling”, Philosophical Magazine, pp. 157–175.
jrnold/datums documentation built on May 20, 2019, 1 a.m.
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Description Usage Format Source References
Description
In order to test how well probability theory represented the real-world, Frank Weldon threw 12 dice 26,306 times. For each throw, he recorded the number of dice that showed a five or six. Pearson analyzed this data in 1900, and compared it to the implied values of a binomial distribution.
Usage
1 |
Format
A data frame with 13 rows and 4 columns.
| name | type | description |
n | "integer" | Number of dice showing five or six in the throw of 12 dice. |
observed | "integer" | Number observed in Weldon's data |
theoretical | "integer" | Theoretical values assuming theta = 1/3. |
pearson | "integer" | Pearson's corrected theoretical values using theta = 0.3377. |
Source
Stigler, Stephen M. (2016) The Seven Pillars of Statistical Wisdom, p. 184
References
Stigler, S. M. (2016) The Seven Pillars of Statistical Wisdom.
Pearson, K. (1900) “On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling”, Philosophical Magazine, pp. 157–175.
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