PROC SURVEYSELECT: Murthy’s PPS Method :: SAS/STAT(R) 9.2 User's Guide, Second Edition

The SURVEYSELECT Procedure

Murthy’s PPS Method

Murthy’s method (METHOD=PPS_MURTHY) selects two units from each stratum, with probability proportional to size and without replacement. The selection probability for unit $\text{[math]}$ in stratum $\text{[math]}$ equals

$\text{[math]}$

where $\text{[math]}$ and

$\text{[math]}$

Murthy’s algorithm first selects a unit with probability $\text{[math]}$ . Then a second unit is selected from the remaining units with probability $\text{[math]}$ , where unit $\text{[math]}$ is the first unit selected. The joint selection probability for units $\text{[math]}$ and $\text{[math]}$ in stratum $\text{[math]}$ equals

$\text{[math]}$

See Cochran (1977, pp. 263–265) and Murthy (1957) for details.

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