Statistics

Statistics is the application of mathematical concepts to understanding and analysing large collections of data. A central tenet of statistics is to describe the variations in a data set or population using probability distributions. This analysis aids understanding of what underlies these variations and enables predictions of future changes.

Latest Research and Reviews

News and Comment

  • Comments and Opinion |

    This Comment describes some of the common pitfalls encountered in deriving and validating predictive statistical models from high-dimensional data. It offers a fresh perspective on some key statistical issues, providing some guidelines to avoid pitfalls, and to help unfamiliar readers better assess the reliability and significance of their results.

    • Andrew E. Teschendorff
  • Comments and Opinion |

    As with most data analysis methods, the Bayesian method must be handled with care. We show that its application to determine stellar evolution parameters within globular clusters can lead to paradoxical results if used without the necessary precautions. This is a cautionary tale on the use of statistical tools for big data analysis.

    • Francesca D’Antona
    • , Vittoria Caloi
    •  & Marco Tailo
    Nature Astronomy 2, 270-272
  • Comments and Opinion |

    In response to recommendations to redefine statistical significance to P ≤ 0.005, we propose that researchers should transparently report and justify all choices they make when designing a study, including the alpha level.

    • Daniel Lakens
    • , Federico G. Adolfi
    • , Casper J. Albers
    • , Farid Anvari
    • , Matthew A. J. Apps
    • , Shlomo E. Argamon
    • , Thom Baguley
    • , Raymond B. Becker
    • , Stephen D. Benning
    • , Daniel E. Bradford
    • , Erin M. Buchanan
    • , Aaron R. Caldwell
    • , Ben Van Calster
    • , Rickard Carlsson
    • , Sau-Chin Chen
    • , Bryan Chung
    • , Lincoln J. Colling
    • , Gary S. Collins
    • , Zander Crook
    • , Emily S. Cross
    • , Sameera Daniels
    • , Henrik Danielsson
    • , Lisa DeBruine
    • , Daniel J. Dunleavy
    • , Brian D. Earp
    • , Michele I. Feist
    • , Jason D. Ferrell
    • , James G. Field
    • , Nicholas W. Fox
    • , Amanda Friesen
    • , Caio Gomes
    • , Monica Gonzalez-Marquez
    • , James A. Grange
    • , Andrew P. Grieve
    • , Robert Guggenberger
    • , James Grist
    • , Anne-Laura van Harmelen
    • , Fred Hasselman
    • , Kevin D. Hochard
    • , Mark R. Hoffarth
    • , Nicholas P. Holmes
    • , Michael Ingre
    • , Peder M. Isager
    • , Hanna K. Isotalus
    • , Christer Johansson
    • , Konrad Juszczyk
    • , David A. Kenny
    • , Ahmed A. Khalil
    • , Barbara Konat
    • , Junpeng Lao
    • , Erik Gahner Larsen
    • , Gerine M. A. Lodder
    • , Jiří Lukavský
    • , Christopher R. Madan
    • , David Manheim
    • , Stephen R. Martin
    • , Andrea E. Martin
    • , Deborah G. Mayo
    • , Randy J. McCarthy
    • , Kevin McConway
    • , Colin McFarland
    • , Amanda Q. X. Nio
    • , Gustav Nilsonne
    • , Cilene Lino de Oliveira
    • , Jean-Jacques Orban de Xivry
    • , Sam Parsons
    • , Gerit Pfuhl
    • , Kimberly A. Quinn
    • , John J. Sakon
    • , S. Adil Saribay
    • , Iris K. Schneider
    • , Manojkumar Selvaraju
    • , Zsuzsika Sjoerds
    • , Samuel G. Smith
    • , Tim Smits
    • , Jeffrey R. Spies
    • , Vishnu Sreekumar
    • , Crystal N. Steltenpohl
    • , Neil Stenhouse
    • , Wojciech Świątkowski
    • , Miguel A. Vadillo
    • , Marcel A. L. M. Van Assen
    • , Matt N. Williams
    • , Samantha E. Williams
    • , Donald R. Williams
    • , Tal Yarkoni
    • , Ignazio Ziano
    •  & Rolf A. Zwaan
  • Comments and Opinion |

    We propose to change the default P-value threshold for statistical significance from 0.05 to 0.005 for claims of new discoveries.

    • Daniel J. Benjamin
    • , James O. Berger
    • , Magnus Johannesson
    • , Brian A. Nosek
    • , E.-J. Wagenmakers
    • , Richard Berk
    • , Kenneth A. Bollen
    • , Björn Brembs
    • , Lawrence Brown
    • , Colin Camerer
    • , David Cesarini
    • , Christopher D. Chambers
    • , Merlise Clyde
    • , Thomas D. Cook
    • , Paul De Boeck
    • , Zoltan Dienes
    • , Anna Dreber
    • , Kenny Easwaran
    • , Charles Efferson
    • , Ernst Fehr
    • , Fiona Fidler
    • , Andy P. Field
    • , Malcolm Forster
    • , Edward I. George
    • , Richard Gonzalez
    • , Steven Goodman
    • , Edwin Green
    • , Donald P. Green
    • , Anthony G. Greenwald
    • , Jarrod D. Hadfield
    • , Larry V. Hedges
    • , Leonhard Held
    • , Teck Hua Ho
    • , Herbert Hoijtink
    • , Daniel J. Hruschka
    • , Kosuke Imai
    • , Guido Imbens
    • , John P. A. Ioannidis
    • , Minjeong Jeon
    • , James Holland Jones
    • , Michael Kirchler
    • , David Laibson
    • , John List
    • , Roderick Little
    • , Arthur Lupia
    • , Edouard Machery
    • , Scott E. Maxwell
    • , Michael McCarthy
    • , Don A. Moore
    • , Stephen L. Morgan
    • , Marcus Munafó
    • , Shinichi Nakagawa
    • , Brendan Nyhan
    • , Timothy H. Parker
    • , Luis Pericchi
    • , Marco Perugini
    • , Jeff Rouder
    • , Judith Rousseau
    • , Victoria Savalei
    • , Felix D. Schönbrodt
    • , Thomas Sellke
    • , Betsy Sinclair
    • , Dustin Tingley
    • , Trisha Van Zandt
    • , Simine Vazire
    • , Duncan J. Watts
    • , Christopher Winship
    • , Robert L. Wolpert
    • , Yu Xie
    • , Cristobal Young
    • , Jonathan Zinman
    •  & Valen E. Johnson