A Simple Sequentially Rejective Multiple Test Procedure
Citations
83,420 citations
Cites background or methods from "A Simple Sequentially Rejective Mul..."
...The first difficulty has been partially addressed by the recent line of research advancing Bonferroni-type procedures, which use the observed individual p-values, while remaining faithful to FWER control: Simes (1986), Hommel (1988), Hochberg (1988) and Rom (1990)....
[...]
...Whereas Simes (1986) showed that his procedure controls the FWER under the intersection null hypothesis, Hommel (1988) showed that the extended procedure for inference on individual hypotheses does not control the FWER in the strong sense: for some configuration of the false null hypotheses, the probability of an erroneous rejection is greater than a....
[...]
17,362 citations
Cites background from "A Simple Sequentially Rejective Mul..."
...To compensate for multiple comparisons, significance thresholds may need to be decreased (e.g. Bonferroni, 1950; Holm, 1979)....
[...]
14,666 citations
Cites background or methods from "A Simple Sequentially Rejective Mul..."
...When no such alternative is available, the sequential Bonferroni is a useful choice, since much ofthe true conservativeness of the standard Bonferroni test is eliminated (Holm, 1979)....
[...]
...I then describe a nonparametric technique, originally proposed by Holm (1979), to eliminate this bias....
[...]
...To increase power in detecting more than one false H o.i , Holm (1979) introduced the sequential Bonferroni technique....
[...]
...The standard Bonferroni test has substantially reduced power in detecting more than one false HO•i (see Holm, 1979)....
[...]
...A non parametric technique that can be used in virtually all applications is the sequential Bonferroni test, originally developed by Holm (1979)....
[...]
12,855 citations
Cites methods from "A Simple Sequentially Rejective Mul..."
...Furthermore, Bonferroni is a rather conservative approach to maintain the familywise error rate at a predefined level (Hochberg 1988; Holm 1979)....
[...]
10,306 citations
Cites methods from "A Simple Sequentially Rejective Mul..."
...The simplest such methods are due to Holm (1979) and Hochberg (1988)....
[...]
References
5,756 citations
"A Simple Sequentially Rejective Mul..." refers methods in this paper
...For the case of normally distributed observations the multiple test procedure suggested by Dunnett (1955) is commonly used....
[...]
...(1976) have proposed a closed test procedure, which is a refinement of the Dunnett procedure and which is more powerful. Their procedure is equivalent to a sequentially rejective procedure presented in Holm (1977). The sequentially rejective Bonferroni test can also be used in this situation although it is of course less powerful than the refined Dunnett test....
[...]
4,763 citations
637 citations
"A Simple Sequentially Rejective Mul..." refers methods in this paper
...Marcus et al. (1976) have proposed a closed test procedure, which is a refinement of the Dunnett procedure and which is more powerful....
[...]
365 citations
"A Simple Sequentially Rejective Mul..." refers background in this paper
...are minimal in the sense of Gabriel (1969). This means that if o,, con, ....
[...]