HISTORY - 0093Da/Analysis-of-Variance GitHub Wiki

Previously used approaches include hypothesis testing, the partitioning of sums of squares, experimental techniques and the additive model than in the 20th century Analysis of variance was recognized. Ronald Fisher introduced the term variance and proposed its formal analysis in a 1918 article, "The Correlation Between Relatives on the Supposition of Mendelian Inheritance".In 1770 hypothesis testing was performed by Laplace. Laplace and Gauss circa developed least-squares method in 1800 provided an improved method of combining observations .It also initiated much study of the contributions to sums of squares. Laplace soon knew how to estimate a variance from a residual (rather than a total) sum of squares.By 1827 Laplace was using least squares methods to address ANOVA problems regarding measurements of atmospheric tides Ronald Fisher in 1921 published first application of the analysis of variance. Analysis of variance became widely known after being included in Fisher's 1925 book Statistical Methods for Research Workers.Randomization models were developed by several researchers on the basis of this. The first was published in Polish by Jerzy Neyman in 1923.One of the attributes of ANOVA which ensured its early popularity was computational elegance. The structure of the additive model allows solution for the additive coefficients by simple algebra rather than by matrix calculations. In the era of mechanical calculators this simplicity was critical. The determination of statistical significance also required access to tables of the F function which were supplied by early statistics texts.