Multistage Tests ofMultiple Hypotheses
نویسندگان
چکیده
Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates. We will discuss marrying these methods with adaptive multistage sampling rules and stopping rules to perform efficient multiple hypothesis testing in sequential experimental designs. The result is a multistage step-down procedure that adaptively tests multiple hypotheses while preserving the family-wise error rate and extends Holm’s (1979) step-down procedure to the sequential setting, yielding substantial savings in sample size with small loss in power.
منابع مشابه
A New Framework of Multistage Hypothesis Tests
In this paper, we have established a general framework of multistage hypothesis tests which applies to arbitrarily many mutually exclusive and exhaustive composite hypotheses. Within the new framework, we have constructed specific multistage tests which rigorously control the risk of committing decision errors and are more efficient than previous tests in terms of average sample number and the ...
متن کاملAMultistage Procedure for Decentralized Sequential Multi-Hypothesis Testing Problems
We studied the problem of sequentially testing M ≥ 2 hypotheses with a decentralized sensor network system. In such a system, the local sensors observe raw data and then send quantized observations to a fusion center, which makes a final decision regarding hypothesis is true. Motivated by the two-stage tests in Wang and Mei (2011), we propose a multistage decentralized sequential test that prov...
متن کاملMultistage and mixture parallel gatekeeping procedures in clinical trials.
Gatekeeping procedures have been developed to solve multiplicity problems arising in clinical trials with hierarchical objectives where the null hypotheses that address these objectives are grouped into ordered families. A general method for constructing multistage parallel gatekeeping procedures was proposed by Dmitrienko et al. (2008). The objective of this paper is to study two related class...
متن کامل9 A New Framework of Multistage Hypothesis Tests ∗
In this paper, we have established a new framework of multistage hypothesis tests. Within the new framework, we have developed specific multistage tests which guarantee prescribed level of power and are more efficient than previous tests in terms of average sampling number and the number of sampling operations. Without truncation, the maximum sampling numbers of our testing plans are absolutely...
متن کاملMultistage Hypothesis Tests for the Mean of a Normal Distribution ∗
In this paper, we have developed new multistage tests which guarantee prescribed level of power and are more efficient than previous tests in terms of average sampling number and the number of sampling operations. Without truncation, the maximum sampling numbers of our testing plans are absolutely bounded. Based on geometrical arguments, we have derived extremely tight bounds for the operating ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010