6533b7d2fe1ef96bd125e9a7
RESEARCH PRODUCT
A Modification of Stone's Test for Trend for Binary Outcome
Eric Enders-kleeFrank Krummenauersubject
Statistics and ProbabilityEstimatorRegression analysisGeneral MedicinePoisson distributionBinomial distributionsymbols.namesakeStatisticssymbolsTest statisticEconometricsCochran–Armitage test for trendp-valueStatistics Probability and UncertaintyRare disease assumptionMathematicsdescription
STONE (1988) suggested the first isotonic regression estimator as a tool for drawing inferences on possibly increased cancer case counts among several subregions around a putative source. He assumed the case counts to be Poisson distributed and therefore introduced a rare disease assumption into his approach. However, when analyzing cross sectional data one would rather refer to prevalence estimates among these subregions around a point risk source (for example the origin of chemical fallout). Therefore we applied antitonic regression estimation in Binomial distributions to derive a test statistic and a p value to test for a possible trend in the observed prevalence data around the putative source. The computation of this p value will be illustrated as well as severe difficulties concerning its interpretation. Further the Maximum Likelihood Ratio approach will be used to derive an alternative test statistic.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-08-01 | Biometrical Journal |