# knockoff.stat.lasso: Knockoff filter lasso statistics

Description Usage Arguments Details Value

### Description

Computes the difference statistic

W_j = Z_j - \tilde{Z}_j

or the signed maximum statistic

W_j = \max(Z_j, \tilde{Z}_j) \cdot \mathrm{sgn}(Z_j - \tilde{Z}_j),

where Z_j and \tilde{Z}_j are the maximum values of λ at which the jth variable and its knockoff, respectively, enter the lasso model.

### Usage

 1 2 3 knockoff.stat.lasso_difference(X, X_ko, y, method = c("glmnet", "lars"), ...) knockoff.stat.lasso_signed_max(X, X_ko, y, method = c("glmnet", "lars"), ...) 

### Arguments

 X original design matrix X_ko knockoff matrix y response vector method either 'glmnet' or 'lars' (see Details) ... additional arguments specific to 'glmnet' or 'lars' (see Details)

### Details

This function can use either the glmnet or the lars package to compute the lasso path. The lars package computes the lasso path exactly, while glmnet approximates it using a fine grid of λ's. For large matrics, glmnet can be much faster than lars. By default, glmnet is used.

If method is set to 'glmnet', the nlambda parameter can be used to control the granularity of the grid of λ's. The default value of nlambda is 5*p, where p is the number of columns of X.

### Value

The statistic W

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