code: def tic(results):
      """Takeuchi information criterion for misspecified models"""
      imr = getattr(results, "im_ratio", im_ratio(results))
      tic = -2 * results.llf + 2 * np.trace(imr)
      return tic
  
file_path: statsmodels/statsmodels/base/_parameter_inference.py
imports: import numpy
  from scipy import stats
label_desc: Use image node_id 5 for calling a global function with example usage: tic(results) and returns: tic