addCLT {BLMA} | R Documentation

## The additive method for meta-analysis

### Description

Combine independent studies using the average of p-values

### Usage

    addCLT(x)

### Arguments

`x` | is an array of independent p-values

### Details

This method is based on the fact that sum of independent uniform variables follow the Irwin-Hall distribution [1a,1b]. When the number of p-values is small (n<20), the distribution of the average of p-values can be calculated using a linear transformation of the Irwin-Hall distribution. When n is large, the distribution is approximated using the Central Limit Theorem to avoid underflow/overflow problems [2,3,4,5].

### Value

combined p-value

### Author(s)

Tin Nguyen and Sorin Draghici

### References

[1a] P. Hall. The distribution of means for samples of size n drawn from a population in which the variate takes values between 0 and 1, all such values being equally probable. Biometrika, 19(3-4):240-244, 1927.

[1b] J. O. Irwin. On the frequency distribution of the means of samples from a population having any law of frequency with finite moments, with special reference to Pearson's Type II. Biometrika, 19(3-4):225-239, 1927.

[2] T. Nguyen, R. Tagett, M. Donato, C. Mitrea, and S. Draghici. A novel bi-level meta-analysis approach – applied to biological pathway analysis. Bioinformatics, 32(3):409-416, 2016.

[3] T. Nguyen, C. Mitrea, R. Tagett, and S. Draghici. DANUBE: Data-driven meta-ANalysis using UnBiased Empirical distributions – applied to biological pathway analysis. Proceedings of the IEEE, PP(99):1-20, 2016.

[4] T. Nguyen, D. Diaz, R. Tagett, and S. Draghici. Overcoming the matched-sample bottleneck: an orthogonal approach to integrate omic data. Scientific Reports, 6:29251, 2016.

[5] T. Nguyen, D. Diaz, and S. Draghici. TOMAS: A novel TOpology-aware Meta-Analysis approach applied to System biology. In Proceedings of the 7th ACM International Conference on Bioin- formatics, Computational Biology, and Health Informatics, pages 13-22. ACM, 2016.

### See Also

`fisherMethod`, `stoufferMethod`

### Examples

    x <- rep(0,10)
    addCLT(x)

    x <- runif(10)
    addCLT(x)

[Package BLMA version 1.8.0 Index]