code: def test_posterior_list_errors(self):
      shape_1 = torch.Size([3, 2])
      shape_2 = torch.Size([4, 1])
      p_1 = self._make_gpytorch_posterior(shape_1, torch.float)
      p_2 = self._make_gpytorch_posterior(shape_2, torch.double)
      p = PosteriorList(p_1, p_2)
  
      with self.assertRaisesRegex(
          NotImplementedError, "same `batch_shape`"
      ):
          p._extended_shape()
      dtype_err_msg = (
          "Multi-dtype posteriors are currently not supported."
      )
      with self.assertRaisesRegex(NotImplementedError, dtype_err_msg):
          p.dtype
      device_err_msg = (
          "Multi-device posteriors are currently not supported."
      )
      p_2._device = None
      with self.assertRaisesRegex(NotImplementedError, device_err_msg):
          p.device
      with self.assertRaisesRegex(
          AttributeError, "`PosteriorList` does not define"
      ):
          p.rate
  
imports: from itertools import product
  import torch
  from botorch.posteriors import GPyTorchPosterior, Posterior, PosteriorList
  from botorch.posteriors.deterministic import DeterministicPosterior
  from botorch.utils.testing import BotorchTestCase
  from gpytorch.distributions import MultivariateNormal
  from linear_operator.operators import to_linear_operator
label_desc: Use image node_id 4 for calling the TestPosteriorList obj's underlying member method code with example usage: obj.test_posterior_list_errors() without return types