Variable Transformations

Rank Transformations

Figure 32.16 shows the transformations that are available when you select Rank from the Family list. The rank transformation of a variable y is a new variable containing the ranks of the corresponding values of y.

ugtransformrank1.png (8338 bytes)

Figure 32.16: Rank Transformations

There are actually four different rank functions, depending on the options you select on the second page of the wizard (Figure 32.17). If you select Assign arbitrarily as the Rank of Ties option, then the SAS/IML RANK function is used to compute ranks. If you select Assign to average, then the SAS/IML RANKTIE function is used. This is summarized in Table 32.6.

ugtransformrank2.png (9722 bytes)

Figure 32.17: Rank Transformations

Table 32.6: Description of Rank Transformations
      Name of  
Transformation Order Rank of Ties New Variable Equation
rank(Y)AscendingArbitraryRank_Yrank(Y)
 DescendingArbitraryRank_Yrank(-Y)
 AscendingAverageRank_Yranktie(Y)
 DescendingAverageRank_Yranktie(-Y)

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