DOCUMENT


Sampling Theory, Examples and Rationale

The distributions of all possible sample estimates of a specified 10-tree population sampled by each of a wide variety of designs are analyzed to obtain expected mean squared error and bias. Different designs may employ equal or unequal selection probabilities, sample replacement or no sample replacement, fixed number of samples or variable number of samples (and in the last case, N = may require a zero estimate or else resampling) . The designs requiring an a priori list include direct, ratio, and PPS samples, while the nonlist designs include several types of 3P samples. A 110-tree population is specified to illustrate the effect of using probabilities that are variously correlated with the variable of interest, and a single sample drawn from the same population (clustered in a specified manner) is used to illustrate point-3P sampling. The 110-tree population is again used in another example to exemplify the generally beneficial effects of frequency-balancing on adjusted 3P sample estimates.

Document Type / Category
Technical Note
Document Collection
BLM Library
State/Office
National Office
Author
Grosenbaugh, Lewis R.
Publication Date
1979
Science Subject