Bartlett, M. S. Further aspects of the theory of multiple regression. (English) Zbl 0018.15803 Proc. Camb. Philos. Soc. 34, 33-40 (1938). This is a continuance of a previous paper of the author [Proc. Camb. Philos. Soc. 30, 327–340 (1934; Zbl 0010.07102)] in which problems in the theory and application of linear multiple regression are dealt with by vector methods. In particular, results of Hotelling on his ”most predictable criterion” and on the resolution into principal components, and those of Fisher on linear discriminant functions are deduced and discussed in vector form. The \(\chi^2\) approximation for the \(\Lambda\) test (loc. cit.) is further discussed. Reviewer: C. C. Craig Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 62J05 Linear regression; mixed models Keywords:linear multiple regression; vector methods; Hotelling’s most predictable criterion; resolution into principal components; Fisher’s linear discriminant functions; \(\chi^2\) approximation for \(\Lambda\) test Citations:Zbl 0010.07102 PDFBibTeX XMLCite \textit{M. S. Bartlett}, Proc. Camb. Philos. Soc. 34, 33--40 (1938; Zbl 0018.15803)