|
|
| Line 1: |
Line 1: |
| In [[statistics]], the '''Freedman–Diaconis rule''', named after [[David A. Freedman]] and [[Persi Diaconis]], can be used to select the size of the bins to be used in a [[histogram]]. The general equation for the rule is:
| | My name's Virgil Fuqua but everybody calls me Virgil. I'm from Australia. I'm studying at the university (final year) and I play the Lap Steel Guitar for 4 years. Usually I choose music from my famous films :D. <br>I have two sister. I love Leaf collecting and pressing, watching TV (The Simpsons) and Games Club - Dungeons and Dragons, Monopoly, Etc..<br><br>Here is my web site :: [http://Jusds.com/plus/guestbook.php FIFA coin Generator] |
| | |
| :<math>\text{Bin size}=2\, \text{IQR}(x) n^{-1/3} \;</math> | |
| | |
| where <math>\scriptstyle\operatorname{IQR}(x) \;</math> is the [[interquartile range]] of the data and <math>\scriptstyle n \;</math> is the number of observations in the sample <math>\scriptstyle x. \; </math>
| |
| | |
| ==Other approaches==
| |
| Another approach is to use ''Sturges' rule'': use a bin so large that there are about <math>\scriptstyle 1+\log_2n</math> non-empty bins (Scott, 2009). This works well for ''n'' under 200, but was found to be inaccurate for large ''n''.
| |
| For a discussion and an alternative approach, see Birgé and Rozenholc.
| |
| | |
| ==References==
| |
| * {{cite journal
| |
| | last = Freedman
| |
| | first = David
| |
| | authorlink = David Freedman (statistician)
| |
| | last2 = Diaconis
| |
| | first2 = Persi
| |
| | authorlink2 = Persi Diaconis
| |
| | title = On the histogram as a density estimator: ''L''<sub>2</sub> theory
| |
| | journal = Probability Theory and Related Fields
| |
| | volume = 57
| |
| | issue = 4
| |
| | pages = 453–476
| |
| | publisher = Springer Berlin
| |
| | location = Heidelberg
| |
| | date = December 1981
| |
| | url = http://www.springerlink.com/content/mp364022824748n3/fulltext.pdf
| |
| | format = [[Portable Document Format|PDF]]
| |
| | issn = 0178-8051
| |
| | accessdate = 2009-01-06 }}
| |
| | |
| *{{Cite journal | last1 = Scott | first1 = D.W. | year = 2009 | title = Sturges' rule | url = | journal = WIREs Computational Statistics | volume = 1 | issue = | pages = 303–306 }}
| |
| *{{Cite journal | last1 = Birgé | first1 = L. | last2 = Rozenholc | first2 = Y. | year = 2006 | title = How many bins should be put in a regular histogram | url = http://www.numdam.org/item?id=PS_2006__10__24_0 | journal = ESAIM: Probability and Statistics | volume = 10 | issue = | pages = 24–45 }}
| |
| | |
| {{DEFAULTSORT:Freedman-Diaconis rule}}
| |
| [[Category:Rules of thumb]]
| |
| [[Category:Statistical charts and diagrams]]
| |
| [[Category:Infographics]]
| |
| | |
| | |
| {{statistics-stub}}
| |
My name's Virgil Fuqua but everybody calls me Virgil. I'm from Australia. I'm studying at the university (final year) and I play the Lap Steel Guitar for 4 years. Usually I choose music from my famous films :D.
I have two sister. I love Leaf collecting and pressing, watching TV (The Simpsons) and Games Club - Dungeons and Dragons, Monopoly, Etc..
Here is my web site :: FIFA coin Generator