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 $\text{[math]}$ is a new variable that contains the ranks of the corresponding values of $\text{[math]}$ .

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. (See 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.

Figure 32.17 Rank Transformations

Table 32.6 Description of Rank Transformations
Transformation	Order	Rank of Ties	New Variable	Equation
			Name of
rank(Y)	Ascending	Arbitrary	Rank_Y	rank(Y)
	Descending	Arbitrary	Rank_Y	rank(–Y)
	Ascending	Average	Rank_Y	ranktie(Y)
	Descending	Average	Rank_Y	ranktie(–Y)

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