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
  • [21] Bivariate contour ellipse area (BCEA) variability: comparison of two methods for recording
    De Rosa, Vittoria
    Spadea, Leopoldo
    Fragiotta, Serena
    Cutini, Alessandro
    Diana, Cristina
    Marcelli, Michela
    Vingolo, Enzo M.
    INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 2014, 55 (13)
  • [22] The remarkable kaleidoscopic decompositions of the bivariate Gaussian distribution
    Puente, CE
    FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE, 1997, 5 (01): : 47 - 61
  • [23] IMPLEMENTATION AND APPLICATIONS OF BIVARIATE GAUSSIAN MIXTURE DECOMPOSITION
    TARTER, M
    SILVERS, A
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (349) : 47 - 55
  • [24] Joint Detection of Bivariate Gaussian Noise Sequences
    Pratt, Thomas G.
    IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2012, 48 (01) : 917 - 923
  • [25] A GEOMETRICAL STUDY OF THE BIVARIATE FRACTIONAL GAUSSIAN NOISE
    Lefevre, Jeanne
    Le Bihan, Nicolas
    Amblard, Pierre-Olivier
    2018 IEEE STATISTICAL SIGNAL PROCESSING WORKSHOP (SSP), 2018, : 144 - 148
  • [26] Asymptotic behavior of bivariate Gaussian powered extremes
    Zhou, Wei
    Peng, Zuoxiang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 923 - 938
  • [28] Robust Ellipse Fitting Using Hierarchical Gaussian Mixture Models
    Zhao, Mingyang
    Jia, Xiaohong
    Fan, Lubin
    Liang, Yuan
    Yan, Dong-Ming
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2021, 30 : 3828 - 3843
  • [29] Necessary Condition for Sending a Bivariate Gaussian Source Over the "Asymmetric" Gaussian MAC
    Bross, Shraga I.
    Laufer, Yaron
    2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2015, : 461 - 465
  • [30] Sending a Bivariate Gaussian Source Over a Gaussian MAC With Unidirectional Conferencing Encoders
    Bross, Shraga I.
    Laufer, Yaron
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (03) : 1296 - 1311