参考文献

Allaire, JJ, Yihui Xie, Jonathan McPherson, Javier Luraschi, Kevin Ushey, Aron Atkins, Hadley Wickham, Joe Cheng, Winston Chang, and Richard Iannone. 2020. Rmarkdown: Dynamic Documents for R. https://CRAN.R-project.org/package=rmarkdown.

Bates, Douglas M., and Donald G. Watts. 1988. Nonlinear Regression Analysis and Its Applications. New York, NY: John Wiley & Sons. https://doi.org/10.1002/9780470316757.app2.

Beall, Geoffrey. 1942. “The Transformation of Data from Entomological Field Experiments so That the Analysis of Variance Becomes Applicable.” Biometrika 32 (3/4): 243–62. https://doi.org/10.2307/2332128.

Berger, Paul, and Robert Maurer. 2002. Experimental Design: With Application in Management, Engineering, and the Sciences. 1st ed. Duxbury.

Berger, Paul, Robert Maurer, and Giovana B. Celli. 2018. Experimental Design: With Application in Management, Engineering, and the Sciences. 2nd ed. New York, NY: Springer International Publishing. https://doi.org/10.1007/978-3-319-64583-4.

Blyth, Colin R., and David W. Hutchinson. 1960. “Table of Neyman-Shortest Unbiased Confidence Intervals for the Binomial Parameter.” Biometrika 47 (3/4): 381–91. http://www.jstor.org/stable/2333308.

Boyd, Stephen, and Lieven Vandenberghe. 2018. Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares. New York, NY: Cambridge University Press. https://web.stanford.edu/~boyd/vmls/vmls.pdf.

Breiman, Leo. 2001. “Statistical Modeling: The Two Cultures (with Comments and a Rejoinder by the Author).” Journal of the American Statistical Association 16 (3): 199–231. https://doi.org/10.1214/ss/1009213726.

Brillinger, David R. 2001. Time Series: Data Analysis and Theory. Philadelphia, PA, USA: Society for Industrial; Applied Mathematics.

Brown, Lawrence D., T. Tony Cai, and Anirban DasGupta. 2001. “Interval Estimation for a Binomial Proportion.” Statistical Science, no. 2: 101–33. https://projecteuclid.org/euclid.ss/1009213286.

Chang, Winston, Alexej Kryukov, and Paul Murrell. 2014. Fontcm: Computer Modern Font for Use with Extrafont Package. https://CRAN.R-project.org/package=fontcm.

Clopper, C. J., and E. S. Pearson. 1934. “The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial.” Biometrika 26 (4): 404–13. https://doi.org/10.1093/biomet/26.4.404.

Cohen, Jacob. 1988. Statistical Power Analysis for the Behavioral Sciences. 2nd ed. Hillsdale, NJ: Lawrence Erlbaum Associates.

———. 1994. “The Earth Is Round (\(p < .05\)).” American Psychologist 49 (12): 997–1003. https://doi.org/10.1037/0003-066x.49.12.997.

David M. Blei, Michael I. Jordan, Andrew Y. Ng. 2003. “Latent Dirichlet Allocation.” Journal of Machine Learning Research 3 (Jan): 993–1022. http://www.jmlr.org/papers/volume3/blei03a/blei03a.pdf.

Denton, Peter B, Stephen J Parke, Terence Tao, and Xining Zhang. 2019. “Eigenvectors from Eigenvalues.” https://arxiv.org/pdf/1908.03795.pdf.

Dobson, Annette J. 1983. An Introduction to Statistical Modelling. 1st ed. London: Chapman; Hall/CRC. https://doi.org/10.1007/978-1-4899-3174-0.

Dobson, Annette J., and Adrian G. Barnett. 2018. An Introduction to Generalized Linear Models. Fourth. Boca Raton, Florida: Chapman; Hall/CRC. https://www.crcpress.com/p/book/9781138741515.

Eaton, Morris L. 2007. “Chapter 8: The Wishart Distribution.” In Multivariate Statistics, 53:302–33. Lecture Notes – Monograph Series. Beachwood, Ohio, USA: Institute of Mathematical Statistics. https://doi.org/10.1214/lnms/1196285114.

Epps, T. W., and Lawrence B. Pulley. 1983. “A Test for Normality Based on the Empirical Characteristic Function.” Biometrika 70 (3): 723–26. https://doi.org/10.2307/2336512.

Fox, John, and Sanford Weisberg. 2019. An R Companion to Applied Regression. Third. Thousand Oaks CA: Sage. https://socialsciences.mcmaster.ca/jfox/Books/Companion/.

Fritz, Mike, and Paul D. Berger. 2015. Improving the User Experience Through Practical Data Analytics: Gain Meaningful Insight and Increase Your Bottom Line. 1st ed. Morgan Kaufmann.

Gelfand, Alan E., Susan E. Hills, Amy Racine-Poon, and Adrian F. M. Smith. 1990. “Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling.” Journal of the American Statistical Association 85 (412): 972–85. https://doi.org/10.1080/01621459.1990.10474968.

Geyer, Charles J., and Glen D. Meeden. 2005. “Fuzzy and Randomized Confidence Intervals and P -Values.” Statistical Science 20 (4): 358–66. https://doi.org/10.1214/088342305000000340.

Grün, Bettina, and Kurt Hornik. 2011. “topicmodels: An R Package for Fitting Topic Models.” Journal of Statistical Software 40 (13): 1–30. https://doi.org/10.18637/jss.v040.i13.

Hasan, Asad, Zhiyu Wang, and Alireza S. Mahani. 2016. “Fast Estimation of Multinomial Logit Models: R Package mnlogit.” Journal of Statistical Software 75 (3): 1–24. https://doi.org/10.18637/jss.v075.i03.

Heyde, C. C., E. Seneta, P. Crépel, S. E. Fienberg, and J. Gani. 2001. Statisticians of the Centuries. New York, NY: Springer-Verlag. https://doi.org/10.1007/978-1-4613-0179-0.

Hoaglin, David C., and Roy E. Welsch. 1978. “The Hat Matrix in Regression and Anova.” The American Statistician 32 (1): 17–22. http://www.jstor.org/stable/2683469.

Hofmann, Thomas. 1999. “Probabilistic Latent Semantic Indexing.” In Proceedings of the 22nd Annual International Acm Sigir Conference on Research and Development in Information Retrieval, 50–57. SIGIR ’99. New York, NY, USA: ACM. https://doi.org/10.1145/312624.312649.

Holt, Charles C. 2004. “Forecasting Seasonals and Trends by Exponentially Weighted Moving Averages.” International Journal of Forecasting 20 (1): 5–10. https://doi.org/10.1016/j.ijforecast.2003.09.015.

Hornik, Kurt. 2020. “R FAQ: Frequently Asked Questions on R.” https://CRAN.R-project.org/doc/FAQ/R-FAQ.html.

Hosmer, David W., and Stanley Lemeshow. 2000. Applied Logistic Regression. Second. New York, NY: John Wiley & Sons.

Hothorn, Torsten, Kurt Hornik, Mark A. van de Wiel, and Achim Zeileis. 2008. “Implementing a Class of Permutation Tests: The coin Package.” Journal of Statistical Software 28 (8): 1–23. https://doi.org/10.18637/jss.v028.i08.

HSU, P. L. 1938. “Contribution to the Theory of "Student’s" \(T\)-Test as Applied to the Problem of Two Samples.” Statistical Research Memoirs 2: 1–24.

———. 1983. Collected Papers. New York, NY: Springer-Verlag.

Ihaka, Ross, and Robert Gentleman. 1996. “R: A Language for Data Analysis and Graphics.” Journal of Computational and Graphical Statistics 5 (3): 299–314.

Ishwaran, H., and J. S. Rao. 2005. “Spike and Slab Variable Selection: Frequentist and Bayesian Strategies.” Ann. Statist. 33 (2): 730–73. http://arXiv.org/abs/math/0505633v1.

Johnson, Norman L., and Samuel Kotz. 1997. Leading Personalities in Statistical Sciences: From the Seventeenth Century to the Present. New York, NY: John Wiley & Sons.

Kampstra, Peter. 2008. “beanplot: A Boxplot Alternative for Visual Comparison of Distributions.” Journal of Statistical Software 28 (1): 1–9. http://www.jstatsoft.org/v28/c01/.

Kim, Seock-Ho, and Allan S. Cohen. 1998. “On the Behrens-Fisher Problem: A Review.” Journal of Educational and Behavioral Statistics 23 (4): 356–77. https://doi.org/10.2307/1165281.

Kleiber, Christian, and Achim Zeileis. 2008. Applied Econometrics with R. New York: Springer-Verlag. https://CRAN.R-project.org/package=AER.

Kutner, Michael H., Christopher J. Nachtsheim, John Neter, and William Li. 2005. Applied Linear Statistical Models. Fifth. New York, NY: McGraw-Hill/Irwin.

Kuznetsova, Alexandra, Per B. Brockhoff, and Rune H. B. Christensen. 2017. “lmerTest Package: Tests in Linear Mixed Effects Models.” Journal of Statistical Software 82 (13): 1–26. https://doi.org/10.18637/jss.v082.i13.

Lafaye de Micheaux, Pierre, and Viet Anh Tran. 2016. “PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Goodness-of-Fit Tests in R.” Journal of Statistical Software 69 (3): 1–42. https://doi.org/10.18637/jss.v069.i03.

Lawson, John. 2014. Design and Analysis of Experiments with R. 1st ed. Boca Raton, Florida: Chapman; Hall/CRC. http://www.mvstat.net/mvksa/mvksa.pdf.

Leemis, Lawrence M. 1986. “Relationships Among Common Univariate Distributions.” The American Statistician 40 (2): 143–46. http://www.jstor.org/stable/2684876.

Lüdecke, Daniel, Philip Waggoner, and Dominique Makowski. 2019. “insight: A Unified Interface to Access Information from Model Objects in R.” Journal of Open Source Software 4 (38): 1412. https://doi.org/10.21105/joss.01412.

Makowski, Dominique, Mattan Ben-Shachar, and Daniel Lüdecke. 2019. “bayestestR: Describing Effects and Their Uncertainty, Existence and Significance Within the Bayesian Framework.” Journal of Open Source Software 4 (40): 1541. https://doi.org/10.21105/joss.01541.

McCullagh, Peter, and John Nelder. 1989. Generalized Linear Models. Second. London: Chapman; Hall/CRC. https://www.crcpress.com/p/book/9780412317606.

McLeod, A. I. 2011. Kendall: Kendall Rank Correlation and Mann-Kendall Trend Test. https://CRAN.R-project.org/package=Kendall.

Meurer, Aaron, Christopher P. Smith, Mateusz Paprocki, Ondřej Čertík, Sergey B. Kirpichev, Matthew Rocklin, Amit Kumar, et al. 2017. “SymPy: Symbolic Computing in Python.” PeerJ Computer Science 3 (January): e103. https://doi.org/10.7717/peerj-cs.103.

Neuwirth, Erich. 2014. RColorBrewer: ColorBrewer Palettes. https://CRAN.R-project.org/package=RColorBrewer.

Newcombe, Robert G. 1998. “Interval Estimation for the Difference Between Independent Proportions: Comparison of Eleven Methods.” Statistics in Medicine 17 (8): 873–90. https://doi.org/10.1002/(SICI)1097-0258(19980430)17:8<873::AID-SIM779>3.0.CO;2-I.

Pedregosa, F., G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, et al. 2011. “Scikit-Learn: Machine Learning in Python.” Journal of Machine Learning Research 12: 2825–30.

Qiu, Yixuan. 2015. “showtext: Using System Fonts in R Graphics.” The R Journal 7 (1): 99–108. https://doi.org/10.32614/RJ-2015-008.

Ripley, Brian D. 2002. “Statistical Methods Need Software: A View of Statistical Computing.” Opening Lecture Royal Statistical Society. Plymouth. https://www.stats.ox.ac.uk/~ripley/RSS2002.pdf.

Savicky, Petr. 2014. Pspearman: Spearman’s Rank Correlation Test. https://CRAN.R-project.org/package=pspearman.

Stan Development Team. 2019. Bayesian Statistics Using Stan. https://github.com/stan-dev/stan-book.

Stauffer, Reto, Georg J. Mayr, Markus Dabernig, and Achim Zeileis. 2009. “Somewhere over the Rainbow: How to Make Effective Use of Colors in Meteorological Visualizations.” Bulletin of the American Meteorological Society 96 (2): 203–16. https://doi.org/10.1175/BAMS-D-13-00155.1.

"Student". 1908. “The Probable Error of a Mean.” Biometrika 6: 1–25.

Su, Yu-Sung, and Masanao Yajima. 2020. R2jags: Using R to Run JAGS. https://CRAN.R-project.org/package=R2jags.

Terry M. Therneau, and Patricia M. Grambsch. 2000. Modeling Survival Data: Extending the Cox Model. New York: Springer.

Thall, Peter F., and Stephen C. Vail. 1990. “Some Covariance Models for Longitudinal Count Data with Overdispersion.” Biometrics 46 (3): 657–71. https://www.jstor.org/stable/2532086.

Torres-Manzanera, Emilio. 2018. Xkcd: Plotting Ggplot2 Graphics in an Xkcd Style. https://CRAN.R-project.org/package=xkcd.

Train, Kenneth E. 2009. Discrete Choice Methods with Simulation. Second. New York, NY: Cambridge University Press.

Tsagris, Michail, and Manos Papadakis. 2018. “Taking R to Its Limits: 70+ Tips.” PeerJ Preprints 6: e26605v1. https://doi.org/10.7287/peerj.preprints.26605v1.

Venables, W. N., and Brian D. Ripley. 2002. Modern Applied Statistics with S. Fourth. New York, NY: Springer-Verlag. http://www.stats.ox.ac.uk/pub/MASS4.

Wheeler, Bob. 2020. SuppDists: Supplementary Distributions. https://CRAN.R-project.org/package=SuppDists.

Wickham, Hadley. 2016. ggplot2: Elegant Graphics for Data Analysis. 2nd ed. New York: Springer-Verlag. https://ggplot2-book.org/.

Wickham, Hadley, Mara Averick, Jennifer Bryan, Winston Chang, Lucy D’Agostino McGowan, Romain François, Garrett Grolemund, et al. 2019. “Welcome to the tidyverse.” Journal of Open Source Software 4 (43): 1686. https://doi.org/10.21105/joss.01686.

Wilson, Edwin B. 1927. “Probable Inference, the Law of Succession, and Statistical Inference.” Journal of the American Statistical Association 22 (158): 209–12. https://doi.org/10.1080/01621459.1927.10502953.

Winters, Peter R. 1960. “Forecasting Sales by Exponentially Weighted Moving Averages.” Management Science 6 (3): 324–42. https://doi.org/10.1287/mnsc.6.3.324.

Xiao, Han, and Thomas Stibor. 2010. “Efficient Collapsed Gibbs Sampling for Latent Dirichlet Allocation.” In Proceedings of 2nd Asian Conference on Machine Learning, 13:63–78. Proceedings of Machine Learning Research. Tokyo, Japan: PMLR. http://proceedings.mlr.press/v13/xiao10a/xiao10a.pdf.

Xie, Yihui. 2015. Dynamic Documents with R and Knitr. 2nd ed. Boca Raton, Florida: Chapman; Hall/CRC. https://yihui.org/knitr/.

———. 2016. Bookdown: Authoring Books and Technical Documents with R Markdown. Boca Raton, Florida: Chapman; Hall/CRC. https://github.com/rstudio/bookdown.

———. 2019. “TinyTeX: A Lightweight, Cross-Platform, and Easy-to-Maintain Latex Distribution Based on TeX Live.” TUGboat, no. 1: 30–32. https://tug.org/TUGboat/Contents/contents40-1.html.

Xie, Yihui, J. J. Allaire, and Garrett Grolemund. 2018. R Markdown: The Definitive Guide. Boca Raton, Florida: Chapman; Hall/CRC. https://bookdown.org/yihui/rmarkdown.

Young, Derek S. 2017. Handbook of Regression Methods. Boca Raton, FL: Chapman; Hall/CRC.

Zeileis, Achim, Jason C. Fisher, Kurt Hornik, Ross Ihaka, Claire D. McWhite, Paul Murrell, Reto Stauffer, and Claus O. Wilke. 2019. “colorspace: A Toolbox for Manipulating and Assessing Colors and Palettes.” ArXiv 1903.06490. arXiv.org E-Print Archive. http://arxiv.org/abs/1903.06490.

Zeileis, Achim, Kurt Hornik, and Paul Murrell. 2009. “Escaping RGBland: Selecting Colors for Statistical Graphics.” Computational Statistics & Data Analysis 53 (9): 3259–70. https://doi.org/10.1016/j.csda.2008.11.033.

Zeileis, Achim, and Torsten Hothorn. 2002. “Diagnostic Checking in Regression Relationships.” R News 2 (3): 7–10. https://CRAN.R-project.org/doc/Rnews/.

宋泽熙. 2011. “两个二项总体成功概率的比较.” 中国校外教育(理论) z1: 81. https://doi.org/10.3969/j.issn.1004-8502-B.2011.z1.0919.

茆诗松, 程依明, and 濮晓龙. 2006. 高等数理统计. 2nd ed. 北京: 高等教育出版社.

陈希孺. 1981. 数理统计引论. 北京: 科学出版社.

韦博成. 2009. “《红楼梦》前80回与后40回某些文风差异的统计分析(两个独立二项总体等价性检验的一个应用).” 应用概率统计 25 (4): 441–48. https://doi.org/10.3969/j.issn.1001-4268.2009.04.012.