Simultaneous tests for patterned recognition using nonparametric partially sequential procedure. (English) Zbl 1248.62133
Summary: We introduce a partially sequential sampling procedure to develop a nonparametric method for simultaneous testing. Our work, as in Sequential Anal. 26, No. 4, 443–466 (2007; Zbl 1124.62050), is motivated by an interesting investigation related to arsenic contamination of ground water. Here we incorporate the idea of multiple hypotheses testing as that of Y. Benjamini and Y. Hochberg [Controlling the false discovery rate: A practical and powerful approach to multiple testing. J. R.Stat. Soc., Ser. B 57, No. 1, 289–300 (1995; Zbl 0809.62014)] in a typical way. We present some Monte Carlo studies related to the proposed procedure. We observe that the proposed sampling design minimizes the expected sample sizes in different situations. The procedure as a whole effectively describes the testing under dual pattern alternatives. We indicate in brief some large sample situations. We also present detailed analysis of a geological field survey data.
MSC:
| 62L10 | Sequential statistical analysis |
| 62G10 | Nonparametric hypothesis testing |
| 62J15 | Paired and multiple comparisons; multiple testing |
| 86A32 | Geostatistics |
| 62P12 | Applications of statistics to environmental and related topics |
| 65C05 | Monte Carlo methods |
Keywords:
arsenic contamination; dual patterned alternatives; ground water quality; multiple hypotheses tests; partial sequential sampling; Wilcoxon score; world health organizationReferences:
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