publication . Other literature type . Research . 2018

An Overview Of The Elementary Statistics Of Correlation, R-Squared, Cosine, Sine, Xur, Yur, And Regression Through The Origin, With Application To Votes And Seats For Parliament

Colignatus, Thomas;
Open Access English
  • Published: 22 Apr 2018
  • Publisher: Zenodo
Abstract
The correlation between two vectors is the cosine of the angle between the centered data. While the cosine is a measure of association, the literature has spent little attention to the use of the sine as a measure of distance. A key application of the sine is a new "sine-diagonal inequality / disproportionality" (SDID) measure for votes and their assigned seats for parties for Parliament. This application has nonnegative data and uses regression through the origin (RTO) with non-centered data. Textbooks are advised to discuss this case because the geometry will improve the understanding of both regression and the distinction between descriptive statistics and st...
Subjects
free text keywords: Xur and Yur, social choice and social welfare, election and contest, sine-diagonal inequality / disproportionality, representation and parliament, R-squared, regression and correlation, regression through the origin, trigonometry, Xur and Yur, statistics education, statistics ethics, political science and Brexit
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Zenodo
Other literature type . 2018
Provider: Datacite
Zenodo
Other literature type . 2018
Provider: Datacite
Zenodo
Other literature type . 2018
Provider: Datacite
ZENODO
Research . 2018
Provider: ZENODO
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