diff --git a/BayesValidRox/BayesInference/BayesInference.py b/BayesValidRox/BayesInference/BayesInference.py
index 984385f078e2456b8af471cd675d55b90d5669a0..cc6c55dde1d0ae3f73f3940d1519f7593c3e9006 100644
--- a/BayesValidRox/BayesInference/BayesInference.py
+++ b/BayesValidRox/BayesInference/BayesInference.py
@@ -183,7 +183,7 @@ class BayesInference:
         if self.emulator:
             if std is not None:
                 stdPCE = np.concatenate(list(std.values()))
-                covMatrix += np.diag(stdPCE**3)
+                covMatrix += np.diag(stdPCE**4)
             else:
                 stdPCE = np.concatenate(list(self._stdPCEPriorPred.values()),1)
                 # Expected value of variance (Assump: i.i.d stds)
diff --git a/BayesValidRox/PostProcessing/PostProcessing.py b/BayesValidRox/PostProcessing/PostProcessing.py
index cbecd1cf39ce1ad8bc4deb36af20044944735800..234e5ad7f20679ff36997a52858b8ad4cb4db450 100644
--- a/BayesValidRox/PostProcessing/PostProcessing.py
+++ b/BayesValidRox/PostProcessing/PostProcessing.py
@@ -382,7 +382,7 @@ class PostProcessing:
             
             self.RMSE[key] = mean_squared_error(ModelOutputs[key], PCEOutputs[key], squared=False, multioutput='raw_values')
 
-            self.validErr[key] = mean_squared_error(ModelOutputs[key], PCEOutputs[key], multioutput='raw_values')/ \
+            self.validErr[key] = (self.RMSE[key]**2 / self.NrofSamples) / \
                 np.var(ModelOutputs[key],ddof=1, axis=0)
             
             # Print a report table
diff --git a/BayesValidRox/surrogate_models/RegressionFastARD.py b/BayesValidRox/surrogate_models/RegressionFastARD.py
index 418ea0c0f87377d49f01f592fb75b3f50948895f..f1a26bcfae1a99b01b4e01cd9926f21eadc25b85 100755
--- a/BayesValidRox/surrogate_models/RegressionFastARD.py
+++ b/BayesValidRox/surrogate_models/RegressionFastARD.py
@@ -291,7 +291,7 @@ class RegressionFastARD(LinearModel,RegressorMixin):
                 break
             beta    = n_samples - np.sum(active) + np.sum(Aa * Sdiag )
             beta   /= ( rss + np.finfo(np.float32).eps )
-            print("Active terms: {0} Beta: {1:.3e} rss: {2:.3e}".format(np.sum(active), beta, rss))
+            # print("Active terms: {0} Beta: {1:.3e} error: {2:.3e}".format(np.sum(active), beta, rss / n_samples/var_y))
             # update precision parameters of coefficients
             A,converged  = update_precisions(Q,S,q,s,A,active,self.tol,
                                              n_samples,False)
diff --git a/BayesValidRox/tests/PA-A/data/stokesDataCalib_without_averaging.csv b/BayesValidRox/tests/PA-A/data/stokesDataCalib_without_averaging.csv
index 7bd28c6f5e93ac81958e5884f576546091710d16..bffe4e37d089c6a9f808ce2516d88b619ff20755 100644
--- a/BayesValidRox/tests/PA-A/data/stokesDataCalib_without_averaging.csv
+++ b/BayesValidRox/tests/PA-A/data/stokesDataCalib_without_averaging.csv
@@ -1,11 +1,11 @@
 Point ID,velocity [m/s],p
-213477,6.20992847181735E-05,0.15395300090313
-213877,8.73020873532487E-06,0.135626003146172
-289534,9.31769008739772E-05,0.187374994158745
-291183,6.92438573499104E-05,
-368496,0.00013560355309,
-369920,2.60201105352885E-05,
-411549,0.001589227002128,
-412975,0.001741280849191,
-456893,0.002554260173257,
-464705,0.000380716440442,
+213477,6.20850388354314E-05,0.153920993208885
+213877,8.63158393411487E-06,0.135382995009422
+289534,9.3016163122932E-05,0.187374994158745
+291183,6.93316480031273E-05,
+368496,0.000135837830757,
+369920,2.18700534513364E-05,
+411549,0.001593778837133,
+412975,0.001744373187884,
+456893,0.002554330346667,
+464705,0.000393078839782,
diff --git a/BayesValidRox/tests/PA-A/data/stokesDataValid_without_averaging.csv b/BayesValidRox/tests/PA-A/data/stokesDataValid_without_averaging.csv
index 8da05385461e1a29affced730531490f962c2f29..18772b25376e1a6ff3210815087de9bc8b1f244f 100644
--- a/BayesValidRox/tests/PA-A/data/stokesDataValid_without_averaging.csv
+++ b/BayesValidRox/tests/PA-A/data/stokesDataValid_without_averaging.csv
@@ -1,11 +1,11 @@
 Point ID,velocity [m/s],p
-211000,6.66421449441873E-05,0.139768004417419
-213679,4.2495415780608E-05,0.040632400661707
-288307,9.50631012532539E-06,
-290985,9.29696688704793E-05,
-369720,0.000109070629021,
-371144,0.000116536553753,
-409300,0.000137196610132,
-412777,0.001705360086791,
-456693,0.002403015822414,
-458121,0.002606966843337,
+211000,6.65397517540415E-05,0.13968500494957
+213679,4.25440905486951E-05,0.040632400661707
+288307,9.36846555903168E-06,
+290985,9.29186136252752E-05,
+369720,0.000115975204615,
+371144,0.000108354220999,
+409300,0.000140899613392,
+412777,0.00170560133162,
+456693,0.002412907678111,
+458121,0.002607797732617,
diff --git a/BayesValidRox/tests/PA-A/ffpm_validation_stokesdarcy.py b/BayesValidRox/tests/PA-A/ffpm_validation_stokesdarcy.py
index 4ded6af5d9330b90b9066cfb7efb87e81d973cc9..3160a3398cda24b8affbc27b0ac6e91ba5edb5fa 100755
--- a/BayesValidRox/tests/PA-A/ffpm_validation_stokesdarcy.py
+++ b/BayesValidRox/tests/PA-A/ffpm_validation_stokesdarcy.py
@@ -94,7 +94,10 @@ def run(params, errorPerc=0.05, couplingcond='BJ', PCEEDMethod='normal'):
     #=====================================================
     Inputs = Input()
     MCSize = 50000
-
+    
+    # Assuming dependent input variables
+    # Inputs.Rosenblatt = True
+    
     Inputs.addMarginals() # VyMaxTop
     Inputs.Marginals[0].Name = '$V^{top}$' # [5e-4, 1.5e-3]
     Inputs.Marginals[0].InputValues = stats.uniform(loc=5.0e-04, scale=1.5e-3-5e-4).rvs(size=MCSize)
@@ -155,8 +158,8 @@ def run(params, errorPerc=0.05, couplingcond='BJ', PCEEDMethod='normal'):
     # The degree with the lowest Leave-One-Out cross-validation (LOO)
     # error (or the highest score=1-LOO)estimator is chosen as the final
     # metamodel.
-    MetaModelOpts.MinPceDegree = 9 # default = 1
-    MetaModelOpts.MaxPceDegree = 9 #7
+    MetaModelOpts.MinPceDegree = 10 # default = 1
+    MetaModelOpts.MaxPceDegree = 10 #7
 
     # q-quasi-norm 0<q<1 (default=1)
     MetaModelOpts.q = 0.75 #np.linspace(0.3,0.6,3)
@@ -260,7 +263,7 @@ def run(params, errorPerc=0.05, couplingcond='BJ', PCEEDMethod='normal'):
     # Load the objects
     # with open('PCEModel_'+Model.Name+'.pkl', 'rb') as input:
     #     PCEModel = joblib.load(input)
-
+    
     #=====================================================
     #=========  POST PROCESSING OF METAMODELS  ===========
     #=====================================================
@@ -568,7 +571,7 @@ def run(params, errorPerc=0.05, couplingcond='BJ', PCEEDMethod='normal'):
 
 # ---------- set BayesValidRox params ----------
 # PCEExpDesignMethod = 'normal' # 'normal' or 'sequential'
-# nInitSamples = 500 #50 Initial No. of orig. Model runs for surrogate training
+# nInitSamples = 300 #50 Initial No. of orig. Model runs for surrogate training
 # nTotalSamples = 75 #100 Total No. of orig. Model runs for surrogate training
 # nBootstrapItr = 1000 # No. of bootstraping iterations for Bayesian analysis
 # BootstrapNoise = 0.005 # Noise amount for bootstraping in Bayesian analysis
diff --git a/BayesValidRox/tests/PA-A/ffpm_validation_stokespnm.py b/BayesValidRox/tests/PA-A/ffpm_validation_stokespnm.py
index c599c4449d03aa41627bba29840ee107c6dbddcb..e79acd7f9e942fff623587662c0a1c8ff2a43fda 100755
--- a/BayesValidRox/tests/PA-A/ffpm_validation_stokespnm.py
+++ b/BayesValidRox/tests/PA-A/ffpm_validation_stokespnm.py
@@ -244,19 +244,19 @@ def run(params, averaging=True,errorPerc=0.05, PCEEDMethod='normal'):
     print("\n" + "-"*40)
     print("PCE training for calibration.")
     print("-"*40 + "\n")
-    # if averaging:
-    PCEModel = MetaModelOpts.create_metamodel(Model)
-
-    # Remove zip file
-    if os.path.isfile(Model.Name + '.zip'): os.remove(Model.Name + '.zip')
+    if averaging:
+        PCEModel = MetaModelOpts.create_metamodel(Model)
+    
+        # Remove zip file
+        if os.path.isfile(Model.Name + '.zip'): os.remove(Model.Name + '.zip')
 
-    # else:
-    #     # Load the objects
-    #     saved_Dir = './outputs_ffpm-stokespnm/'
-    #     with open(saved_Dir+'PCEModel_'+'ffpm-stokespnm'+'.pkl', 'rb') as input:
-    #         PCEModel = pickle.load(input)
+    else:
+        # Load the objects
+        saved_Dir = './outputs_ffpm-stokespnm/'
+        with open(saved_Dir+'PCEModel_'+'ffpm-stokespnm'+'.pkl', 'rb') as input:
+            PCEModel = pickle.load(input)
 
-    #     PCEModel.ModelObj.Name = 'ffpm-stokespnmNA'
+        PCEModel.ModelObj.Name = 'ffpm-stokespnmNA'
 
     # Save PCE models
     with open('PCEModel_'+Model.Name+'.pkl', 'wb') as output:
@@ -383,7 +383,7 @@ def run(params, averaging=True,errorPerc=0.05, PCEEDMethod='normal'):
 
     ValidInputs.addMarginals()
     ValidInputs.Marginals[3].Name = '$\\beta$'
-    ValidInputs.Marginals[3].InputValues = BayesCalib.Posterior_df['$\\beta$']
+    ValidInputs.Marginals[3].InputValues = BayesCalib.Posterior_df['$\\beta_{pore}$']
 
     # -----------------------------------------------------------------
     print("\n" + "-"*40)
diff --git a/BayesValidRox/tests/PA-A/util/EDY.svg b/BayesValidRox/tests/PA-A/util/EDY.svg
index 89ad06c71bba080682dc49bfcb5c33ed26ea2c6b..7de402eed9b96b6a9f8a66589a44e78577efbc0a 100644
--- a/BayesValidRox/tests/PA-A/util/EDY.svg
+++ b/BayesValidRox/tests/PA-A/util/EDY.svg
@@ -2,12 +2,12 @@
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+<svg height="975.053386pt" version="1.1" viewBox="0 0 1508.054249 975.053386" width="1508.054249pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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    <cc:Work>
     <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
-    <dc:date>2021-07-23T18:25:04.174890</dc:date>
+    <dc:date>2021-07-28T16:21:20.337426</dc:date>
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     <dc:creator>
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@@ -23,168 +23,236 @@
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diff --git a/BayesValidRox/tests/PA-A/util/vel_diagnostics.py b/BayesValidRox/tests/PA-A/util/vel_diagnostics.py
index d18dfffd24b304e3d8309af69a52f421997f20df..f931046a46a0114e7d26ef6f9e101c9ca3878a3d 100644
--- a/BayesValidRox/tests/PA-A/util/vel_diagnostics.py
+++ b/BayesValidRox/tests/PA-A/util/vel_diagnostics.py
@@ -6,15 +6,11 @@ Created on Tue May 18 16:19:43 2021
 @author: farid
 """
 
-import sys, os
+import sys, os, joblib
 import numpy as np
 import scipy.stats as stats
 import shutil
 import pandas as pd
-try:
-    import cPickle as pickle
-except ModuleNotFoundError:
-    import pickle
 import seaborn as sns
 import matplotlib
 matplotlib.use('agg')
@@ -24,7 +20,7 @@ modelName = 'ffpm-stokesdarcyBJ'
 
 # Load the objects
 with open(path+'PCEModel_'+modelName+'.pkl', 'rb') as input:
-    PCEModel = pickle.load(input)
+    PCEModel = joblib.load(input)
 
 import matplotlib.pylab as plt
 SIZE = 30
@@ -61,15 +57,15 @@ EDY = np.array(ValidSets["EDY/"+output+"/init_"])
 ValidSets.close()
 
 normIdx = [EDX[:,1]>=0.004875]
-# critIdx = normIdx
-critIdx = [EDX[:,1]<0.004875]
+critIdx = normIdx
+# critIdx = [EDX[:,1]<0.004875]
 
 # Critical Velocities
 critEDX = EDX[critIdx]
 critEDY = EDY[critIdx]
 
 # Select index
-idx = 9
+idx = 6
 
 # Run the surrogate model
 y_hat, y_std = PCEModel.eval_metamodel(samples=critEDX)