Sampling statistics of eggs, nymphs, and adults of Perkinsiella saccharicida Kirkaldy and its predators, Tytthus spp., were determined on six varieties of sugarcane ( Saccharum spp.) in southern Queensland, Australia. Iwao’s patchiness regression and Taylor’s power law were used to model the relationship between mean and variance of counts. Taylor’s power law gave better fits to all data except for counts of eggs per egg mass. Sample sizes for fixed levels of precision and fixed-precision-level stop lines for sequential sampling were developed for all stages of P. saccharicida and nymphs and adults of Tytthus spp. The In(x + 1) transformation standardized the mean-variance relationship for P. saccharicida nymphs, adults, and eggs per egg mass and Tytthus spp. adults, but not for P. saccharlctda egg masses or Tytthus spp. nymphs. The Healy and Taylor transformation was not effective on P. saccharicida data but standardized Tytthus spp. nymph and adult counts.