code: def bias_reduced_delta(
      Y, Ygrid, X, m, num_resamples, conf_level, y_resamples
  ):
      """Plischke et al. 2013 bias reduction technique (eqn 30)"""
      d = np.empty(num_resamples)
  
      N = len(Y)
      ind = np.random.randint(N, size=y_resamples)
      d_hat = calc_delta(Y[ind], Ygrid, X[ind], m)
      r = np.random.randint(N, size=(num_resamples, y_resamples))
  
      for i in range(num_resamples):
          r_i = r[i, :]
          d[i] = calc_delta(Y[r_i], Ygrid, X[r_i], m)
  
      d = 2.0 * d_hat - d
      return (d.mean(), norm.ppf(0.5 + conf_level / 2) * d.std(ddof=1))
  
file_path: SALib/src/SALib/analyze/delta.py
imports: from typing import Dict
  from scipy.stats import norm, gaussian_kde, rankdata
  import numpy
  from .None import common_args
  from ..util import read_param_file, ResultDict
label_desc: Use image node_id 3 for calling a global function with example usage: bias_reduced_delta(Y, Ygrid, X, m, num_resamples, conf_level, y_resamples) and returns: d,  unknown