Abstract
This paper presents a simple and widely ap- plicable multiple test procedure of the sequentially rejective type, i.e. hypotheses are rejected one at a tine until no further rejections can be done. It is shown that the test has a prescribed level of significance protection against error of the first kind for any combination of true hypotheses. The power properties of the test and a number of possible applications are also discussed.
Keywords
MathematicsSimple (philosophy)Type I and type II errorsTest (biology)Statistics
Related Publications
On the Adaptive Control of the False Discovery Rate in Multiple Testing With Independent Statistics
A new approach to problems of multiple significance testing was presented in Benjamini and Hochberg (1995), which calls for controlling the expected ratio of the number of erron...
Multiple Hypotheses Testing with Weights
In this paper we offer a multiplicity of approaches and procedures for multiple testing problems with weights. Some rationale for incorporating weights in multiple hypotheses te...
Operating Characteristics and Extensions of the False Discovery Rate Procedure
Summary We investigate the operating characteristics of the Benjamini–Hochberg false discovery rate procedure for multiple testing. This is a distribution-free method that contr...
The control of the false discovery rate in multiple testing under dependency
Benjamini and Hochberg suggest that the false discovery rate may\nbe the appropriate error rate to control in many applied multiple testing\nproblems. A simple procedure was giv...
A New Approach to the Problem of Multiple Comparisons in the Genetic Dissection of Complex Traits
Abstract Saturated genetic marker maps are being used to map individual genes affecting quantitative traits. Controlling the “experimentwise” type-I error severely lowers power ...
Publication Info
- Year
- 1979
- Type
- article
- Volume
- 6
- Pages
- 65-70
- Citations
- 21731
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
21731
OpenAlex
Cite This
Sture Holm
(1979).
A Simple Sequentially Rejective Multiple Test Procedure.
Scandinavian Journal of Statistics
, 6
, 65-70.
https://doi.org/10.2307/4615733
Identifiers
- DOI
- 10.2307/4615733