Depicting Bivariate Relationship with a Gaussian Ellipse

被引:0
|
作者
Sarkar, Jyotirmoy [1 ]
Rashid, Mamunur [2 ]
机构
[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[2] DePauw Univ, Dept Math, Greencastle, IN 46135 USA
来源
STATISTICS AND APPLICATIONS | 2021年 / 19卷 / 02期
关键词
Five-number summary; Variance; Least squares lines; Bivariate normal distribution; x-; y- and regression outliers;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
For data on two continuous variables, how should one depict the summary statistics (means, SDs, correlation coefficient, coefficient of determination, regression lines) so that their values can be read off easily from the depiction and potential outliers can be flagged also? We propose the Gaussian covariance ellipse as an answer that will benefit all users of statistics.
引用
下载
收藏
页码:77 / 87
页数:11
相关论文
共 50 条
  • [31] The Achievable Distortion Region of Sending a Bivariate Gaussian Source on the Gaussian Broadcast Channel
    Tian, Chao
    Diggavi, Suhas
    Shamai, Shlom
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (10) : 6419 - 6427
  • [32] Sending a Bivariate Gaussian Source Over a Gaussian MAC with Unidirectional Conferencing Encoders
    Bross, Shraga I.
    Laufer, Yaron
    2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2013, : 364 - 368
  • [33] Estimating a bivariate linear relationship
    Leonard, David
    BAYESIAN ANALYSIS, 2011, 6 (04): : 727 - 754
  • [34] Quantification and evaluation of bivariate contour ellipse area (BCEA) in different diseases after rehabilitation
    Verboschi, Francesca
    De Rosa, Vittoria
    Di Crescenzo, Chiara
    Rea, Gianmarco
    Mafrici, Marco
    Domanico, Daniela
    Vingolo, Enzo
    INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 2013, 54 (15)
  • [35] An Explicit Criterion For the Positional Relationship of An Ellipse and A Parabola
    Chen, Min
    Hou, Xiaorong
    Qiu, Xuhao
    2008 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC), VOLS 1-6, 2008, : 825 - 829
  • [36] An explicit criterion for the positional relationship of an ellipse and a parabola
    Chen, Min
    Hou, Xiao-Rong
    Qiu, Xu-Hao
    PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2007, : 1774 - 1778
  • [37] Bivariate Gaussian mixture model for GWAS summary statistics
    Frei, Oleksandr
    BEHAVIOR GENETICS, 2017, 47 (06) : 718 - 718
  • [38] NOTE ON THE CHARACTERIZATION OF BIVARIATE DENSITIES WITH GAUSSIAN MARGINAL DENSITIES
    ABRAHAMS, J
    THOMAS, JB
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 37 (02) : 433 - 435
  • [39] A bivariate meta-Gaussian density for use in hydrology
    Kelly, KS
    Krzysztofowicz, R
    STOCHASTIC HYDROLOGY AND HYDRAULICS, 1997, 11 (01): : 17 - 31
  • [40] QUANTIZATION SCHEMES FOR BIVARIATE GAUSSIAN RANDOM-VARIABLES
    BUCKLEW, JA
    GALLAGHER, NC
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (05) : 537 - 543