J u m p t o c o n t e n t
M a i n m e n u
M a i n m e n u
N a v i g a t i o n
● M a i n p a g e ● C o n t e n t s ● C u r r e n t e v e n t s ● R a n d o m a r t i c l e ● A b o u t W i k i p e d i a ● C o n t a c t u s ● D o n a t e
C o n t r i b u t e
● H e l p ● L e a r n t o e d i t ● C o m m u n i t y p o r t a l ● R e c e n t c h a n g e s ● U p l o a d f i l e
S e a r c h
Search
A p p e a r a n c e
● C r e a t e a c c o u n t ● L o g i n
P e r s o n a l t o o l s
● C r e a t e a c c o u n t ● L o g i n
P a g e s f o r l o g g e d o u t e d i t o r s l e a r n m o r e ● C o n t r i b u t i o n s ● T a l k
( T o p )
1 E x a m p l e s
T o g g l e E x a m p l e s s u b s e c t i o n
1 . 1 L o c a t i o n
1 . 2 S p r e a d
1 . 3 S h a p e
1 . 4 D e p e n d e n c e
2 H u m a n p e r c e p t i o n o f s u m m a r y s t a t i s t i c s
3 S e e a l s o
4 R e f e r e n c e s
5 E x t e r n a l l i n k s
T o g g l e t h e t a b l e o f c o n t e n t s
S u m m a r y s t a t i s t i c s
8 l a n g u a g e s
● Č e š t i n a ● E u s k a r a ● 日 本 語 ● P o l s k i ● P o r t u g u ê s ● S u n d a ● У к р а ї н с ь к а ● ا ر د و
E d i t l i n k s
● A r t i c l e ● T a l k
E n g l i s h
● R e a d ● E d i t ● V i e w h i s t o r y
T o o l s
T o o l s
A c t i o n s
● R e a d ● E d i t ● V i e w h i s t o r y
G e n e r a l
● W h a t l i n k s h e r e ● R e l a t e d c h a n g e s ● U p l o a d f i l e ● S p e c i a l p a g e s ● P e r m a n e n t l i n k ● P a g e i n f o r m a t i o n ● C i t e t h i s p a g e ● G e t s h o r t e n e d U R L ● D o w n l o a d Q R c o d e ● W i k i d a t a i t e m
P r i n t / e x p o r t
● D o w n l o a d a s P D F ● P r i n t a b l e v e r s i o n
I n o t h e r p r o j e c t s
● W i k i m e d i a C o m m o n s
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
( R e d i r e c t e d f r o m S u m m a r y s t a t i s t i c )
A common collection of order statistics used as summary statistics are the five-number summary , sometimes extended to a seven-number summary , and the associated box plot .
Entries in an analysis of variance table can also be regarded as summary statistics.[1] : 378
Examples
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Location
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Common measures of location, or central tendency , are the arithmetic mean , median , mode , and interquartile mean .[2] [3]
Spread
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Common measures of statistical dispersion are the standard deviation , variance , range , interquartile range , absolute deviation , mean absolute difference and the distance standard deviation . Measures that assess spread in comparison to the typical size of data values include the coefficient of variation .
The Gini coefficient was originally developed to measure income inequality and is equivalent to one of the L-moments .
A simple summary of a dataset is sometimes given by quoting particular order statistics as approximations to selected percentiles of a distribution.
Shape
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Common measures of the shape of a distribution are skewness or kurtosis , while alternatives can be based on L-moments . A different measure is the distance skewness , for which a value of zero implies central symmetry.
Dependence
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The common measure of dependence between paired random variables is the Pearson product-moment correlation coefficient , while a common alternative summary statistic is Spearman's rank correlation coefficient . A value of zero for the distance correlation implies independence.
Human perception of summary statistics
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Humans efficiently use summary statistics to quickly perceive the gist of auditory and visual information.[4] [5] [6]
See also
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References
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^ Bullen, P. S. (31 August 2003). Handbook of Means and Their Inequalities . Mathematics and Its Applications. Vol. 560 (2 ed.). Springer Dordrecht . doi :10.1007/978-94-017-0399-4 . ISBN 978-1-4020-1522-9 LCCN 2003060794 . OCLC 939214285 . OL 8370727M .
^ Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre (2009). Aggregation Functions . Oxford University Press. ISBN 978-0521519267
^ Piazza, Elise A.; Sweeny, Timothy D.; Wessel, David; Silver, Michael A.; Whitney, David (2013). "Humans Use Summary Statistics to Perceive Auditory Sequences" . Psychological Science . 24 8 ): 1389–1397. doi :10.1177/0956797612473759 . PMC 4381997 PMID 23761928 .
^ Alexander, R. G.; Schmidt, J.; Zelinsky, G. Z. (2014). "Are summary statistics enough? Evidence for the importance of shape in guiding visual search" . Visual Cognition . 22 doi :10.1080/13506285.2014.890989 . PMC 4500174 PMID 26180505 .
^ Utochkin, Igor S. (2015). "Ensemble summary statistics as a basis for rapid visual categorization" . Journal of Vision . 15 4 ): 8. doi :10.1167/15.4.8 PMID 26317396 .
External links
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R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Summary_statistics&oldid=1194852336 " C a t e g o r y : ● S u m m a r y s t a t i s t i c s H i d d e n c a t e g o r i e s : ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n i s d i f f e r e n t f r o m W i k i d a t a ● C o m m o n s c a t e g o r y l i n k f r o m W i k i d a t a
● T h i s p a g e w a s l a s t e d i t e d o n 1 1 J a n u a r y 2 0 2 4 , a t 0 1 : 5 3 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
Media related to Summary statistics at Wikimedia Commons
