統計学輪講のスケジュールに戻る．
日時 2005年 12月 6日(火) 15時〜16時40分
場所 経済学部新棟３階第３教室
講演者 Toshiro Tango(National Institute of Public Health, Japan)
演題 Tests for Spatial Clustering of Health Events Based on
Case-Control Point Data
概要：
A class of tests with quadratic forms for detecting spatial clustering
of health events based on case-control point data is proposed. It
includes Cuzick and Edwards' test statistic(1990). Although they used
the property of asymptotic normality of the test statistic, we show
that such an approximation is generally poor for moderately large
sample sizes. Instead, we suggest a central chi-square distribution
as a better approximation to the asymptotic distribution of the test
statistic. Furthermore, not only to estimate the optimal value of the
unknown parameter on the scale of cluster but also to adjust for multiple
testing due to repeating the procedure by changing the parameter value,
we propose the minimum of the profile p-value of the test statistic for
the parameter as an integrated test statistic. We also provide a
statistic to estimate the areas or cases which have large contributions
to significant clustering. The proposed methods are illustrated with
a data set of the locations of cases of childhood leukemia and lymphoma
and a data set of early medieval grave site locations consisting of
affected and nonaffected grave sites.
統計学輪講のスケジュールに戻る．
Tokyo University