Standard Article

Weighted Distributions

Statistical Theory and Methods

  1. G.P. Patil

Published Online: 15 SEP 2006

DOI: 10.1002/9780470057339.vaw009

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Patil, G. 2006. Weighted Distributions. Encyclopedia of Environmetrics. 6.

Author Information

  1. Pennsylvania State University, University Park, PA, USA

Publication History

  1. Published Online: 15 SEP 2006

Abstract

Traditional environmetric theory and practice have been occupied largely with randomization and replication. But in environmental and ecological work, observations also fall in the nonexperimental, nonreplicated, and nonrandom categories. The problems of model specification and data interpretation then acquire special importance and great concern. The theory of weighted distributions provides a unifying approach for these problems. Weighted distributions take into account the method of ascertainment, by adjusting the probabilities of actual occurrence of events to arrive at a specification of the probabilities of those events as observed and recorded. Failure to make such adjustments can lead to incorrect conclusions.