Structure of Statistics

Advanced methods of analysis and interpretation of data are conceptualized by using paradigm defining statistics as a modern successor of epistemology. It introduces a new method of addition and subtraction of matrices, which is indispensable for computing matrices adjacent to ordered graphs, construction of dendrograms of their hierarchical structures, and 3-dimensional rendering of probability distributions. Discussion revolves around concise descriptions of multiple regression, analysis of variance, principal components analysis, factor analysis, canonical analysis, and multivariate analysis of variance. The formal description of these methods is complemented by a step-by-step analysis of minute matrices, consisting of different arrangements of numbers 1 2 3 4 5. The description of methods of statistical analysis and theory underlying their applications is presented as to minimize anxiety and maximize interest in quantitative scientific investigations.