diff --git a/birdman/inference.py b/birdman/inference.py
index 15fe528..ab3657c 100644
--- a/birdman/inference.py
+++ b/birdman/inference.py
@@ -84,21 +84,19 @@ def concatenate_inferences(
     """
     group_list = []
     group_list.append([x.posterior for x in inf_list])
-    group_list.append([x.sample_stats for x in inf_list])
     if "log_likelihood" in inf_list[0].groups():
         group_list.append([x.log_likelihood for x in inf_list])
     if "posterior_predictive" in inf_list[0].groups():
         group_list.append([x.posterior_predictive for x in inf_list])
 
     po_ds = xr.concat(group_list[0], concatenation_name)
-    ss_ds = xr.concat(group_list[1], concatenation_name)
-    group_dict = {"posterior": po_ds, "sample_stats": ss_ds}
+    group_dict = {"posterior": po_ds}
 
     if "log_likelihood" in inf_list[0].groups():
-        ll_ds = xr.concat(group_list[2], concatenation_name)
+        ll_ds = xr.concat(group_list[1], concatenation_name)
         group_dict["log_likelihood"] = ll_ds
     if "posterior_predictive" in inf_list[0].groups():
-        pp_ds = xr.concat(group_list[3], concatenation_name)
+        pp_ds = xr.concat(group_list[2], concatenation_name)
         group_dict["posterior_predictive"] = pp_ds
 
     all_group_inferences = []
diff --git a/tests/test_inference.py b/tests/test_inference.py
index cb55ac0..e7bbe79 100644
--- a/tests/test_inference.py
+++ b/tests/test_inference.py
@@ -1,6 +1,9 @@
 import numpy as np
+import pytest
 
 from birdman import inference as mu
+from birdman.default_models import NegativeBinomialSingle
+from birdman import ModelIterator
 
 
 class TestToInference:
@@ -78,3 +81,31 @@ def test_serial_ppll(self, example_model):
             nb_data = example_model.fit.stan_variable(v)
             nb_data = np.array(np.split(nb_data, 4, axis=0))
             np.testing.assert_array_almost_equal(nb_data, inf_data)
+
+
+@pytest.mark.parametrize("method", ["mcmc", "vi"])
+def test_concat(table_biom, metadata, method):
+    tbl = table_biom
+    md = metadata
+
+    model_iterator = ModelIterator(
+        table=tbl,
+        model=NegativeBinomialSingle,
+        formula="host_common_name",
+        metadata=md,
+    )
+
+    infs = []
+    for fname, model in model_iterator:
+        model.compile_model()
+        model.fit_model(method, num_draws=100)
+        infs.append(model.to_inference())
+
+    inf_concat = mu.concatenate_inferences(
+        infs,
+        coords={"feature": tbl.ids("observation")},
+    )
+    print(inf_concat.posterior)
+    exp_feat_ids = tbl.ids("observation")
+    feat_ids = inf_concat.posterior.coords["feature"].to_numpy()
+    assert (exp_feat_ids == feat_ids).all()