The function quadrat.test is generic, with methods for
  point patterns (class "ppp"), split point patterns
  (class "splitppp") and point process models
  (class "ppm").
If X is a split point pattern, then for each of the
  component point patterns (taken separately) we test 
  the null hypotheses of Complete Spatial Randomness,
  then combine the result into a single test.
The method quadrat.test.ppp is applied to each
  component point pattern. Then the results are pooled using
  pool.quadrattest to obtain a single test.