Theories and mathematical techniqus are explained. Originally, this is written in Japanese. For foreign student, the author translate the text book by himself. Turgeting readers are biginners. However, necessary explanation of mathematical knowledge which is taught as advanced math is included with new ideas to make them understandable. Translation was finised first half of original Japanese text book. The second half is still under constraction. The second half part includs mariple ariance analysis. the chapters in second half will be published one by one as translations are finished. As appendix, R scripts for various mutivariance analysis will also be published.