Description Usage Arguments Details Value Author(s) References See Also Examples

Combine independent studies using the average of p-values

1 | ```
addCLT(x)
``` |

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

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].

combined p-value

Tin Nguyen and Sorin Draghici

[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.

1 2 3 4 5 |

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.