stone {DCluster}

Stone's Test

Description

Stone's Test is used to assess risk around given locations (i. e., a putative pollution source). The null hypotheses is that relative risks are constant across areas, while the alternative is that there is descending trend in relative risks as distance to the focus increases. That is

H_0	:	\theta_1 = \ldots = \theta_n = \lambda
H_1	:	\theta_1 \geq \ldots \geq \theta_n

Supposing data sorted by distance to the putative pollution source, Stone's statistic is as follows:

\max_{j}(\frac{\sum _{i=1}^j O_i}{\sum _{i=1}^j E_i)}

Depending on whether \lambda is known (usually 1) or not, E_i may need a minor correction, which are not done automatically. See achisq manual page for details.

References

Stone, R. A. (1988). Investigating of excess environmental risks around putative sources: Statistical problems and a proposed test. Statistics in Medicine 7,649-660.

See Also

DCluster, stone.stat, stone.boot, stone.pboot