
SPEARMAN DISSIMILARITYName:
The rank correlation is recommended in the following cases:
A perfect linear relationship yields a correlation coefficient of +1 (or 1 for a negative relationship) and no linear relationship yields a correlation coefficient of 0. In some applications, such as clustering, it can be useful to transform the correlation coefficient to a dissimilarity measure. The transformation used here is
This converts the correlation coefficient with values between 1 and 1 to a score between 0 and 1. High positive correlation (i.e., very similar) results in a dissimilarity near 0 and high negative correlation (i.e., very dissimilar) results in a dissimilarity near 1. If a similarity score is preferred, you can use
where d is defined as above.
<SUBSET/EXCEPT/FOR qualification> where <y1> is the first response variable; <y2> is the second response variable; <par> is a parameter where the computed Spearman dissimilarity is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET A = SPEARMAN DISSIMILARITY Y1 Y2 SUBSET TAG > 2
SKIP 25 READ BERGER1.DAT Y X LET CORR = RANK CORRELATION Y X LET D = SPEARMAN DISSIMILARITY Y X SET WRITE DECIMALS 4 PRINT CORR DThe following output is generated PARAMETERS AND CONSTANTS CORR  0.9486 D  0.0257Program 2: SKIP 25 READ IRIS.DAT Y1 Y2 Y3 Y4 SET WRITE DECIMALS 3 . LET M = GENERATE MATRIX SPEARMAN DISSIMILARITY Y1 Y2 Y3 Y4 PRINT MThe following output is generated MATRIX M  4 ROWS  4 COLUMNS VARIABLESM1 M2 M3 M4 0.000 0.583 0.059 0.131 0.583 0.000 0.655 0.506 0.059 0.655 0.000 0.084 0.131 0.506 0.084 0.000Program 3: SKIP 25 READ IRIS.DAT Y1 Y2 Y3 Y4 TAG . TITLE CASE ASIS TITLE OFFSET 2 CASE ASIS TIC MARK OFFSET UNITS DATA YLIMITS 0 1 MAJOR YTIC MARK NUMBER 6 MINOR YTIC MARK NUMBER 1 Y1TIC MARK LABEL DECIMAL 1 XLIMITS 1 3 MAJOR XTIC MARK NUMBER 3 MINOR XTIC MARK NUMBER 0 XTIC MARK OFFSET 0.3 0.3 CHARACTER X BLANK LINES BLANK SOLID . MULTIPLOT CORNER COORDINATES 5 5 95 95 MULTIPLOT SCALE FACTOR 2 MULTIPLOT 2 3 . TITLE Sepal Length vs Sepal Width SPEARMAN DISSIMILARITY PLOT Y1 Y2 TAG . TITLE Sepal Length vs Petal Length SPEARMAN DISSIMILARITY PLOT Y1 Y3 TAG . TITLE Sepal Length vs Petal Width SPEARMAN DISSIMILARITY PLOT Y1 Y4 TAG . TITLE Sepal Width vs Petal Length SPEARMAN DISSIMILARITY PLOT Y2 Y3 TAG . TITLE Sepal Width vs Petal Width SPEARMAN DISSIMILARITY PLOT Y2 Y4 TAG . TITLE Petal Length vs Petal Width SPEARMAN DISSIMILARITY PLOT Y3 Y4 TAG . END OF MULTIPLOT . JUSTIFICATION CENTER MOVE 50 5 TEXT Species DIRECTION VERTICAL MOVE 5 50 TEXT Spearman Rank Dissimilarity Coefficient DIRECTION HORIZONTAL  
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Date created: 09/20/2017 