Possible type in `boot_algo3`

[amichuda]

@s3alfisc

The arguments in the function reference, N_G_bootcluster, but the function uses two arguments, bootcluster and N_G. Was the underscore a typo?

https://github.com/s3alfisc/wildboottest/blob/b33df5fca1ea72986b47d33ebc575bc4068b4d81/src/boot_algo3.py#L3

[s3alfisc]

N_G is not equal to N_G_bootcluster: N_G is the number of unique values in a cluster. If e.g. there we are clustering in two dimensions, the covariance matrix is

$$ \Sigma = \Sigma_{1} + \Sigma_{2} - \Sigma_{1,2} $$

with $N_{G1}$, $N_{G2}$ or $N_{G12}$ clusters. The clustering variable(s) is/are usually called clustid in the R code (which is a bad name, it should be called cluster, as you do in your code). For oneway clustering, clustid is a dataframe with three columns, and N_G is of length 3. N_G_bootcluster instead denotes the number of unique bootstrap clusters, which is identical to one of the cluster variables. For oneway clustering, N_G = N_G_bootcluster always holds.