By Richard A. Johnson, Dean W. Wichern
This marketplace major textual content is acceptable for classes that train statistical equipment for describing and studying multivariate facts in depts. of facts, math, advertising, and within the organic, actual, and social sciences. The 4th variation makes extra broad use of SAS and SPSS output with an emphasis on interpretation. positive aspects comprise extra routines, info units, and photographs to demonstrate issues. numerous recommendations resembling MANOVA and Discriminate research, Correspondence research, and Biplots are built-in extra completely.
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Extra info for Applied Multivariate Statistical Analysis, Fourth Edition
135. 1 . . , . T . ;- . 76 Max . . . . . . . . • . . �. . . � Cll . . l · ·' . . . ·:. : .. . . t . . Strength (CD) . . . . . .. - . . . . . . . . . Med .. . 70 . . 5 . 2 . 93 Sec. 4 Data Displays and Pictorial Representations 19 [xli] p points i n n dimensions. The n observations o f the p variables can also be regarded as p points in n-dimensional space. Each column of X determines one of the points. The ith column, x:, ; X2 ; consisting of all n measurements on the ith variable, determines the ith point.
I . • - - - - : -· • ·.. 9 .. · :. ' 1 35 . ·· '· . . ... I .. •• •t • • , ... Machine r I I .. . , . ·. \ . 758 · . ... I' . , •:· • . � �.. . ..... · .. .... , (a) : . . .. . .. . . .. ·. 3 .. .. 68. 1 .. 1 35 .. 845 Density Cross . . . . . . (b) . . . . 788 . . 8 Modified scatter plots with (a) g roup of points selected and (b) points, including specimen 25, deleted and the scatter plots rescaled. Sec. 4 23 Data Displays a n d Pictorial Representations sequence of highlighted points.
Cll . . l · ·' . . . ·:. : .. . . t . . Strength (CD) . . . . . .. - . . . . . . . . . Med .. . 70 . . 5 . 2 . 93 Sec. 4 Data Displays and Pictorial Representations 19 [xli] p points i n n dimensions. The n observations o f the p variables can also be regarded as p points in n-dimensional space. Each column of X determines one of the points. The ith column, x:, ; X2 ; consisting of all n measurements on the ith variable, determines the ith point. In Chapter 3, we show how the closeness of points in n dimensions can be related to measures of association between the corresponding variables.