Linearity of Data and Linear Probability Space
Statistics Theory
2019-04-03 v1 Statistics Theory
Abstract
Some data is linearly additive, other data is not. In this paper, I discuss types of data based on the boundedness of the data and their linearity. 1) Unbounded data can be linear. 2) One-side bounded data is usually log transformed to be linear. 3) Two-side bounded data is not linear. 4) Untidy data do not fit in these categories. An example of two-sided bounded data is probabilities which should be transformed into a linear probability space by taking the logarithm of the odds ratio (log10 odds) which is termed Weight (W). Calculations of means and standard deviation is more accurate when calculated as W values than when calculated as probabilities. A methods to analyze untidy data is discussed.
Cite
@article{arxiv.1904.01494,
title = {Linearity of Data and Linear Probability Space},
author = {Christopher M. Rembold},
journal= {arXiv preprint arXiv:1904.01494},
year = {2019}
}