Compute Z-Score and P-Value for Node Pagerank

This function calculates the z-score and p-value for a node's pagerank by comparing it to a set of permutation values. It returns a data frame containing the z-score (beta) and p-value (p_value).

Usage

compute_network_enrichment(node)

Arguments

node

A named list or data structure containing:

• pagerank: A numeric value representing the pagerank of the node.

• Permutation values: One or more numeric values with names matching the pattern "^perm.*" (e.g., perm1, perm2), used for calculating the z-score.

Value

A data frame with the following columns:

• beta: The computed z-score.

• p_value: The one-tailed p-value derived from the z-score.

Details

The function calculates the z-score as: $$z = \frac{\text{pagerank} - \text{mean}(\text{perm_values})}{\text{sd}(\text{perm_values})}$$ and the p-value is calculated as the survival function of the z-score: $$p = 1 - \Phi(z)$$ where \(\Phi\) is the cumulative distribution function of the standard normal distribution.