Elliptical Insights: Understanding Statistical Methods through Elliptical Geometry

By Michael Friendly, G. Monette, John Fox. 2013

166 citations recorded by the source corpus.

Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the virtues of the ellipse and her higher-dimensional cousins for both these purposes in a variety of contexts, including linear models, multivariate linear models and mixed-effect models. We emphasize the strong relationships among statistical methods, matrix-algebraic solutions and geometry that can often be easily understood in terms of ellipses.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0cda552ec0b03b45244aa9cbac12533359548b9d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Lourens J. Waldorp
2. Denny Borsboom

In Statistics and Probability

1. Rogier A. Kievit
2. Lourens J. Waldorp
3. Denny Borsboom
4. Willem E. Frankenhuis

Citations in the corpus

• UvA-DARE ( Digital Academic Repository ) Simpson ' s paradox in psychological science : a practical guide (2017, background): “Recent analytic developments (Friendly et al., 2013) have focused on the development of modeling techniques by using ellipses to quantify patterns in the data.”