Pearson correlation coefficient (English Wikipedia)

Galton, F. (5–19 April 1877). "Typical laws of heredity". Nature. 15 (388, 389, 390): 492–495, 512–514, 532–533. Bibcode:1877Natur..15..492.. doi:10.1038/015492a0. S2CID 4136393. In the "Appendix" on page 532, Galton uses the term "reversion" and the symbol r.
Galton, F. (1886). "Regression towards mediocrity in hereditary stature". Journal of the Anthropological Institute of Great Britain and Ireland. 15: 246–263. doi:10.2307/2841583. JSTOR 2841583.
Stigler, Stephen M. (1989). "Francis Galton's account of the invention of correlation". Statistical Science. 4 (2): 73–79. doi:10.1214/ss/1177012580. JSTOR 2245329.
Garren, Steven T. (15 June 1998). "Maximum likelihood estimation of the correlation coefficient in a bivariate normal model, with missing data". Statistics & Probability Letters. 38 (3): 281–288. doi:10.1016/S0167-7152(98)00035-2.
Rodgers; Nicewander (1988). "Thirteen ways to look at the correlation coefficient" (PDF). The American Statistician. 42 (1): 59–66. doi:10.2307/2685263. JSTOR 2685263.
Schmid, John Jr. (December 1947). "The relationship between the coefficient of correlation and the angle included between regression lines". The Journal of Educational Research. 41 (4): 311–313. doi:10.1080/00220671.1947.10881608. JSTOR 27528906.
Bowley, A. L. (1928). "The Standard Deviation of the Correlation Coefficient". Journal of the American Statistical Association. 23 (161): 31–34. doi:10.2307/2277400. ISSN 0162-1459. JSTOR 2277400.
Soper, H.E.; Young, A.W.; Cave, B.M.; Lee, A.; Pearson, K. (1917). "On the distribution of the correlation coefficient in small samples. Appendix II to the papers of "Student" and R.A. Fisher. A co-operative study". Biometrika. 11 (4): 328–413. doi:10.1093/biomet/11.4.328.
Davey, Catherine E.; Grayden, David B.; Egan, Gary F.; Johnston, Leigh A. (January 2013). "Filtering induces correlation in fMRI resting state data". NeuroImage. 64: 728–740. doi:10.1016/j.neuroimage.2012.08.022. hdl:11343/44035. PMID 22939874. S2CID 207184701.
Hotelling, Harold (1953). "New Light on the Correlation Coefficient and its Transforms". Journal of the Royal Statistical Society. Series B (Methodological). 15 (2): 193–232. doi:10.1111/j.2517-6161.1953.tb00135.x. JSTOR 2983768.
Lai, Chun Sing; Tao, Yingshan; Xu, Fangyuan; Ng, Wing W.Y.; Jia, Youwei; Yuan, Haoliang; Huang, Chao; Lai, Loi Lei; Xu, Zhao; Locatelli, Giorgio (January 2019). "A robust correlation analysis framework for imbalanced and dichotomous data with uncertainty" (PDF). Information Sciences. 470: 58–77. doi:10.1016/j.ins.2018.08.017. S2CID 52878443.
Devlin, Susan J.; Gnanadesikan, R.; Kettenring J.R. (1975). "Robust estimation and outlier detection with correlation coefficients". Biometrika. 62 (3): 531–545. doi:10.1093/biomet/62.3.531. JSTOR 2335508.
Vaart, A. W. van der (13 October 1998). Asymptotic Statistics. Cambridge University Press. doi:10.1017/cbo9780511802256. ISBN 978-0-511-80225-6.
Hotelling, H. (1953). "New Light on the Correlation Coefficient and its Transforms". Journal of the Royal Statistical Society. Series B (Methodological). 15 (2): 193–232. doi:10.1111/j.2517-6161.1953.tb00135.x. JSTOR 2983768.
Olkin, Ingram; Pratt, John W. (March 1958). "Unbiased Estimation of Certain Correlation Coefficients". The Annals of Mathematical Statistics. 29 (1): 201–211. doi:10.1214/aoms/1177706717. JSTOR 2237306..
Nikolić, D; Muresan, RC; Feng, W; Singer, W (2012). "Scaled correlation analysis: a better way to compute a cross-correlogram" (PDF). European Journal of Neuroscience. 35 (5): 1–21. doi:10.1111/j.1460-9568.2011.07987.x. PMID 22324876. S2CID 4694570.
Immink, K. Schouhamer; Weber, J. (October 2010). "Minimum Pearson distance detection for multilevel channels with gain and / or offset mismatch". IEEE Transactions on Information Theory. 60 (10): 5966–5974. CiteSeerX 10.1.1.642.9971. doi:10.1109/tit.2014.2342744. S2CID 1027502. Retrieved 11 February 2018.
Reid, M. D. (1 July 1989). "Demonstration of the Einstein-Podolsky-Rosen paradox using nondegenerate parametric amplification". Physical Review A. 40 (2): 913–923. doi:10.1103/PhysRevA.40.913.
Maccone, L.; Dagmar, B.; Macchiavello, C. (1 April 2015). "Complementarity and Correlations". Physical Review Letters. 114 (13) 130401. arXiv:1408.6851. doi:10.1103/PhysRevLett.114.130401.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

Davey, Catherine E.; Grayden, David B.; Egan, Gary F.; Johnston, Leigh A. (January 2013). "Filtering induces correlation in fMRI resting state data". NeuroImage. 64: 728–740. doi:10.1016/j.neuroimage.2012.08.022. hdl:11343/44035. PMID 22939874. S2CID 207184701.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Galton, F. (5–19 April 1877). "Typical laws of heredity". Nature. 15 (388, 389, 390): 492–495, 512–514, 532–533. Bibcode:1877Natur..15..492.. doi:10.1038/015492a0. S2CID 4136393. In the "Appendix" on page 532, Galton uses the term "reversion" and the symbol r.
Pearson, Karl (20 June 1895). "Notes on regression and inheritance in the case of two parents". Proceedings of the Royal Society of London. 58: 240–242. Bibcode:1895RSPS...58..240P.

hawaii.edu (Global: 1,308^th place; English: 924^th place)

Rummel, R.J. (1976). "Understanding Correlation". ch. 5 (as illustrated for a special case in the next paragraph).

jstor.org (Global: 26^th place; English: 20^th place)

Galton, F. (1886). "Regression towards mediocrity in hereditary stature". Journal of the Anthropological Institute of Great Britain and Ireland. 15: 246–263. doi:10.2307/2841583. JSTOR 2841583.
Stigler, Stephen M. (1989). "Francis Galton's account of the invention of correlation". Statistical Science. 4 (2): 73–79. doi:10.1214/ss/1177012580. JSTOR 2245329.
Rodgers; Nicewander (1988). "Thirteen ways to look at the correlation coefficient" (PDF). The American Statistician. 42 (1): 59–66. doi:10.2307/2685263. JSTOR 2685263.
Schmid, John Jr. (December 1947). "The relationship between the coefficient of correlation and the angle included between regression lines". The Journal of Educational Research. 41 (4): 311–313. doi:10.1080/00220671.1947.10881608. JSTOR 27528906.
Bowley, A. L. (1928). "The Standard Deviation of the Correlation Coefficient". Journal of the American Statistical Association. 23 (161): 31–34. doi:10.2307/2277400. ISSN 0162-1459. JSTOR 2277400.
Hotelling, Harold (1953). "New Light on the Correlation Coefficient and its Transforms". Journal of the Royal Statistical Society. Series B (Methodological). 15 (2): 193–232. doi:10.1111/j.2517-6161.1953.tb00135.x. JSTOR 2983768.
Devlin, Susan J.; Gnanadesikan, R.; Kettenring J.R. (1975). "Robust estimation and outlier detection with correlation coefficients". Biometrika. 62 (3): 531–545. doi:10.1093/biomet/62.3.531. JSTOR 2335508.
Hotelling, H. (1953). "New Light on the Correlation Coefficient and its Transforms". Journal of the Royal Statistical Society. Series B (Methodological). 15 (2): 193–232. doi:10.1111/j.2517-6161.1953.tb00135.x. JSTOR 2983768.
Olkin, Ingram; Pratt, John W. (March 1958). "Unbiased Estimation of Certain Correlation Coefficients". The Annals of Mathematical Statistics. 29 (1): 201–211. doi:10.1214/aoms/1177706717. JSTOR 2237306..

kent.edu (Global: 9,450^th place; English: 5,700^th place)

libguides.library.kent.edu

"SPSS Tutorials: Pearson Correlation".

mathworks.com (Global: 6,214^th place; English: 4,509^th place)

"Weighted Correlation Matrix – File Exchange – MATLAB Central". Archived from the original on 15 May 2021. Retrieved 18 November 2017.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Davey, Catherine E.; Grayden, David B.; Egan, Gary F.; Johnston, Leigh A. (January 2013). "Filtering induces correlation in fMRI resting state data". NeuroImage. 64: 728–740. doi:10.1016/j.neuroimage.2012.08.022. hdl:11343/44035. PMID 22939874. S2CID 207184701.
Nikolić, D; Muresan, RC; Feng, W; Singer, W (2012). "Scaled correlation analysis: a better way to compute a cross-correlogram" (PDF). European Journal of Neuroscience. 35 (5): 1–21. doi:10.1111/j.1460-9568.2011.07987.x. PMID 22324876. S2CID 4694570.

opentextbc.ca (Global: low place; English: low place)

"Introductory Business Statistics: The Correlation Coefficient r". opentextbc.ca. Retrieved 21 August 2020.

psu.edu (Global: 207^th place; English: 136^th place)

online.stat.psu.edu

"2.6 - (Pearson) Correlation Coefficient r". STAT 462. Retrieved 10 July 2021.

citeseerx.ist.psu.edu

Immink, K. Schouhamer; Weber, J. (October 2010). "Minimum Pearson distance detection for multilevel channels with gain and / or offset mismatch". IEEE Transactions on Information Theory. 60 (10): 5966–5974. CiteSeerX 10.1.1.642.9971. doi:10.1109/tit.2014.2342744. S2CID 1027502. Retrieved 11 February 2018.

real-statistics.com (Global: low place; English: low place)

Real Statistics Using Excel, "Basic Concepts of Correlation", retrieved 22 February 2015.

researchgate.net (Global: 120^th place; English: 125^th place)

Immink, K. Schouhamer; Weber, J. (October 2010). "Minimum Pearson distance detection for multilevel channels with gain and / or offset mismatch". IEEE Transactions on Information Theory. 60 (10): 5966–5974. CiteSeerX 10.1.1.642.9971. doi:10.1109/tit.2014.2342744. S2CID 1027502. Retrieved 11 February 2018.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Galton, F. (5–19 April 1877). "Typical laws of heredity". Nature. 15 (388, 389, 390): 492–495, 512–514, 532–533. Bibcode:1877Natur..15..492.. doi:10.1038/015492a0. S2CID 4136393. In the "Appendix" on page 532, Galton uses the term "reversion" and the symbol r.
Davey, Catherine E.; Grayden, David B.; Egan, Gary F.; Johnston, Leigh A. (January 2013). "Filtering induces correlation in fMRI resting state data". NeuroImage. 64: 728–740. doi:10.1016/j.neuroimage.2012.08.022. hdl:11343/44035. PMID 22939874. S2CID 207184701.
Lai, Chun Sing; Tao, Yingshan; Xu, Fangyuan; Ng, Wing W.Y.; Jia, Youwei; Yuan, Haoliang; Huang, Chao; Lai, Loi Lei; Xu, Zhao; Locatelli, Giorgio (January 2019). "A robust correlation analysis framework for imbalanced and dichotomous data with uncertainty" (PDF). Information Sciences. 470: 58–77. doi:10.1016/j.ins.2018.08.017. S2CID 52878443.
Nikolić, D; Muresan, RC; Feng, W; Singer, W (2012). "Scaled correlation analysis: a better way to compute a cross-correlogram" (PDF). European Journal of Neuroscience. 35 (5): 1–21. doi:10.1111/j.1460-9568.2011.07987.x. PMID 22324876. S2CID 4694570.
Immink, K. Schouhamer; Weber, J. (October 2010). "Minimum Pearson distance detection for multilevel channels with gain and / or offset mismatch". IEEE Transactions on Information Theory. 60 (10): 5966–5974. CiteSeerX 10.1.1.642.9971. doi:10.1109/tit.2014.2342744. S2CID 1027502. Retrieved 11 February 2018.

stackexchange.com (Global: 1,983^rd place; English: 1,330^th place)

stats.stackexchange.com

"How was the correlation coefficient formula derived?". Cross Validated. Retrieved 26 October 2024.
"Derivation of the standard error for Pearson's correlation coefficient". Cross Validated. Retrieved 30 July 2021.

statisticshowto.com (Global: low place; English: low place)

"Correlation Coefficient: Simple Definition, Formula, Easy Steps". Statistics How To.

tech-archive.net (Global: low place; English: low place)

sci.tech-archive.net

"Re: Compute a weighted correlation". sci.tech-archive.net.

web.archive.org (Global: 1^st place; English: 1^st place)

"Weighted Correlation Matrix – File Exchange – MATLAB Central". Archived from the original on 15 May 2021. Retrieved 18 November 2017.

whiterose.ac.uk (Global: 4,124^th place; English: 2,320^th place)

eprints.whiterose.ac.uk

Lai, Chun Sing; Tao, Yingshan; Xu, Fangyuan; Ng, Wing W.Y.; Jia, Youwei; Yuan, Haoliang; Huang, Chao; Lai, Loi Lei; Xu, Zhao; Locatelli, Giorgio (January 2019). "A robust correlation analysis framework for imbalanced and dichotomous data with uncertainty" (PDF). Information Sciences. 470: 58–77. doi:10.1016/j.ins.2018.08.017. S2CID 52878443.

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Statistical Correlation". Wolfram MathWorld. Retrieved 22 August 2020.
Weisstein, Eric W. "Correlation Coefficient—Bivariate Normal Distribution". Wolfram MathWorld.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Bowley, A. L. (1928). "The Standard Deviation of the Correlation Coefficient". Journal of the American Statistical Association. 23 (161): 31–34. doi:10.2307/2277400. ISSN 0162-1459. JSTOR 2277400.

zenodo.org (Global: 621^st place; English: 380^th place)

Soper, H.E.; Young, A.W.; Cave, B.M.; Lee, A.; Pearson, K. (1917). "On the distribution of the correlation coefficient in small samples. Appendix II to the papers of "Student" and R.A. Fisher. A co-operative study". Biometrika. 11 (4): 328–413. doi:10.1093/biomet/11.4.328.

Pearson correlation coefficient (English Wikipedia)

aps.org (Global: 1,503rd place; English: 1,378th place)

journals.aps.org

arxiv.org (Global: 69th place; English: 59th place)

berkeley.edu (Global: 580th place; English: 462nd place)

stat.berkeley.edu

books.google.com (Global: 3rd place; English: 3rd place)

danko-nikolic.com (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

handle.net (Global: 102nd place; English: 76th place)

hdl.handle.net

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

hawaii.edu (Global: 1,308th place; English: 924th place)

jstor.org (Global: 26th place; English: 20th place)

kent.edu (Global: 9,450th place; English: 5,700th place)

libguides.library.kent.edu

mathworks.com (Global: 6,214th place; English: 4,509th place)

nih.gov (Global: 4th place; English: 4th place)

pubmed.ncbi.nlm.nih.gov

opentextbc.ca (Global: low place; English: low place)

psu.edu (Global: 207th place; English: 136th place)

online.stat.psu.edu

citeseerx.ist.psu.edu

real-statistics.com (Global: low place; English: low place)

researchgate.net (Global: 120th place; English: 125th place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

stackexchange.com (Global: 1,983rd place; English: 1,330th place)

stats.stackexchange.com

statisticshowto.com (Global: low place; English: low place)

tech-archive.net (Global: low place; English: low place)

sci.tech-archive.net

web.archive.org (Global: 1st place; English: 1st place)

whiterose.ac.uk (Global: 4,124th place; English: 2,320th place)

eprints.whiterose.ac.uk

wolfram.com (Global: 513th place; English: 537th place)

mathworld.wolfram.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

zenodo.org (Global: 621st place; English: 380th place)

aps.org (Global: 1,503^rd place; English: 1,378^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

berkeley.edu (Global: 580^th place; English: 462^nd place)

books.google.com (Global: 3^rd place; English: 3^rd place)

doi.org (Global: 2^nd place; English: 2^nd place)

handle.net (Global: 102^nd place; English: 76^th place)

harvard.edu (Global: 18^th place; English: 17^th place)

hawaii.edu (Global: 1,308^th place; English: 924^th place)

jstor.org (Global: 26^th place; English: 20^th place)

kent.edu (Global: 9,450^th place; English: 5,700^th place)

mathworks.com (Global: 6,214^th place; English: 4,509^th place)

nih.gov (Global: 4^th place; English: 4^th place)

psu.edu (Global: 207^th place; English: 136^th place)

researchgate.net (Global: 120^th place; English: 125^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

stackexchange.com (Global: 1,983^rd place; English: 1,330^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

whiterose.ac.uk (Global: 4,124^th place; English: 2,320^th place)

wolfram.com (Global: 513^th place; English: 537^th place)

worldcat.org (Global: 5^th place; English: 5^th place)

zenodo.org (Global: 621^st place; English: 380^th place)