Table 4 Thresholds of BF, BH, BY, M1, M2, and M3 procedures for the sorted p-values
Procedures | Rank of p-values | |||||
|---|---|---|---|---|---|---|
1 | 2 | 3 | … | K | ||
I. Adjusted Thresholds | BF | \(\frac{1}{P}\alpha\) | \(\frac{1}{P}\alpha\) | \(\frac{1}{P}\alpha\) | … | \(\frac{k}{P}\alpha\) |
BH | \(\frac{1}{P}\alpha\) | \(\frac{2}{P}\alpha\) | \(\frac{3}{P}\alpha\) | … | \(\frac{k}{P}\alpha\) | |
BY | \(\frac{1}{P\times C(P)}\alpha\) | \(\frac{2}{P\times C(P)}\alpha\) | \(\frac{3}{P\times C(P)}\alpha\) | … | \(\frac{k}{P\times C(P)}\alpha\) | |
M1 | \(\frac{1}{P}\alpha\) | \(\frac{1+\frac{\left(1-\left|{r}_{2}\right|\right)}{\left(1+\left|{r}_{2}\right|\right)}}{P}\alpha\) | \(\frac{1+(\frac{\left(1-\left|{r}_{2}\right|\right)}{\left(1+\left|{r}_{2}\right|\right)}+\frac{\left(1-\left|{r}_{3}\right|\right)}{\left(1+\left|{r}_{3}\right|\right)})}{P}\alpha\) | … | \(\frac{1+\sum_{i=2}^{k}\frac{(1-\left|{r}_{i}\right|)}{(1+\left|{r}_{i}\right|)}}{P}\alpha\) | |
M2 | \(\frac{1}{P}\alpha\) | \(\frac{1+(1-\left|{r}_{2}\right|)}{P}\alpha\) | \(\frac{1+(1-\left|{r}_{2}\right|+1-\left|{r}_{3}\right|)}{P}\alpha\) | … | \(\frac{1+\sum_{i=2}^{k}(1-\left|{r}_{i}\right|)}{P}\alpha\) | |
M3 | \(\frac{1}{P}\alpha\) | \(\frac{1+(1-{\rho r}_{2}^{2})}{P}\alpha\) | \(\frac{1+\left(1-{r}_{2}^{2}\right)+(1-{r}_{3}^{2})}{P}\alpha\) | … | \(\frac{1+\sum_{i=2}^{k}(1-{r}_{i}^{2})}{P}\alpha\) | |
II. Adjusted p-values | BF | \(P\times\) p(1) | \(P\times\) p(2) | \(P\times\) p(3) | … | \(P\times\) p(k) |
BH | \(P\times\) p(1) | \(\frac{P}{2}\times\) p(2) | \(\frac{P}{3}\times\) p(3) | … | \(\frac{P}{k}\times\) p(k) | |
BY | \(P\times C\left(P\right)\times\) p(1) | \(\frac{P\times C(P)}{2}\times\) p(2) | \(\frac{P\times C(P)}{3}\times\) p(3) | … | \(\frac{P\times C(P)}{k}\times\) p(k) | |
M1 | \(P\times\) p(1) | \(\frac{P}{1+\frac{\left(1-\left|{r}_{2}\right|\right)}{\left(1+\left|{r}_{2}\right|\right)}}\times\) p(2) | \(\frac{P}{1+(\frac{\left(1-\left|{r}_{2}\right|\right)}{\left(1+\left|{r}_{2}\right|\right)}+\frac{\left(1-\left|{r}_{3}\right|\right)}{\left(1+\left|{r}_{3}\right|\right)})}\times\) p(3) | … | \(\frac{P}{1+\sum_{i=2}^{k}\frac{(1-\left|{r}_{i}\right|)}{(1+\left|{r}_{i}\right|)}}\times\) p(k) | |
M2 | \(P\times\) p(1) | \(\frac{P}{1+(1-\left|{r}_{2}\right|)}\times\) p(2) | \(\frac{P}{1+(1-\left|{r}_{2}\right|+1-\left|{r}_{3}\right|)}\times\) p(3) | … | \(\frac{P}{1+\sum_{i=2}^{k}(1-\left|{r}_{i}\right|)}\times\) p(k) | |
M3 | \(P\times\) p(1) | \(\frac{P}{1+(1-{\rho r}_{2}^{2})}\times\) p(2) | \(\frac{P}{P1+\left(1-{r}_{2}^{2}\right)+(1-{r}_{3}^{2})}\times\) p(3) | … | \(\frac{P}{1+\sum_{i=2}^{k}(1-{r}_{i}^{2})}\times\) p(k) | |