Samples were drawn using sampling(NUTS). For each parameter, Bulk_ESS
and Tail_ESS are effective sample size measures, and Rhat is the potential
scale reduction factor on split chains (at convergence, Rhat = 1).

#############################
#ariaDNE 0.08 (ep_08)
> summary(ep08_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept     0.00      0.17    -0.34     0.34 1.00     4637     4592
muIN_Intercept    -2.34      0.42    -3.23    -1.57 1.00     4080     3813
muFL_ep_08         1.44      0.28     0.93     2.02 1.00     3710     4271
muIN_ep_08         3.94      0.50     3.00     4.98 1.00     3760     4298

#############################
#ariaDNE 0.08 (ep_08) + OPC
> summary(ep08_opc_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + OPC 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept     0.06      0.18    -0.29     0.43 1.00     5855     4864
muIN_Intercept    -2.85      0.55    -4.01    -1.85 1.00     3868     3762
muFL_ep_08         1.34      0.28     0.81     1.92 1.00     5162     5266
muFL_OPC           0.89      0.26     0.40     1.42 1.00     5415     4823
muIN_ep_08         4.42      0.58     3.36     5.63 1.00     4011     4107
muIN_OPC          -0.79      0.48    -1.78     0.11 1.00     4706     4929

#############################
#ariaDNE 0.08 (ep_08) + RFI
> summary(ep08_rfi_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + RFI 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept     0.03      0.18    -0.32     0.37 1.00     6017     5530
muIN_Intercept    -2.83      0.53    -3.99    -1.90 1.00     3955     4286
muFL_ep_08         1.73      0.34     1.09     2.43 1.00     4161     4463
muFL_RFI          -0.38      0.23    -0.84     0.06 1.00     4271     4950
muIN_ep_08         5.33      0.72     4.03     6.84 1.00     3403     4187
muIN_RFI          -1.55      0.43    -2.43    -0.75 1.00     3865     4734

#############################
#ariaDNE 0.08 (ep_08) + ariaDNE 0.08 CV (ep_08_sd)
> summary(ep08_sd_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + ep_08_sd 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept    -0.13      0.19    -0.52     0.25 1.00     5156     4971
muIN_Intercept    -5.73      1.18    -8.34    -3.69 1.00     2814     3177
muFL_ep_08         1.64      0.30     1.08     2.24 1.00     4581     4985
muFL_ep_08_sd      1.86      0.37     1.14     2.63 1.00     4461     4289
muIN_ep_08         5.86      0.94     4.23     7.88 1.00     3067     3610
muIN_ep_08_sd     -4.15      1.01    -6.33    -2.39 1.00     3034     3576

#############################
#ariaDNE 0.08 (ep_08) + ariaDNE 0.08 CV (ep_08_sd) + OPC
> summary(ep08_sd_opc_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + ep_08_sd + OPC 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept    -0.08      0.20    -0.47     0.32 1.00     6136     5635
muIN_Intercept    -6.15      1.30    -9.01    -3.88 1.00     2630     2978
muFL_ep_08         1.58      0.30     1.03     2.20 1.00     5532     5128
muFL_ep_08_sd      1.85      0.40     1.10     2.67 1.00     5463     4597
muFL_OPC           0.84      0.27     0.34     1.38 1.00     6883     5312
muIN_ep_08         6.21      1.02     4.43     8.43 1.00     2830     3225
muIN_ep_08_sd     -4.15      1.06    -6.38    -2.27 1.00     2824     3467
muIN_OPC          -0.80      0.64    -2.12     0.38 1.00     5057     4355

#############################
#ariaDNE 0.08 (ep_08) + ariaDNE 0.08 CV (ep_08_sd) + RFI
> summary(ep08_sd_rfi_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + ep_08_sd + RFI 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept    -0.11      0.19    -0.48     0.27 1.00     5859     5200
muIN_Intercept    -7.20      1.56   -10.62    -4.55 1.00     2738     3464
muFL_ep_08         1.92      0.36     1.24     2.65 1.00     4515     4303
muFL_ep_08_sd      1.83      0.38     1.13     2.63 1.00     5767     4983
muFL_RFI          -0.40      0.26    -0.90     0.10 1.00     4687     4639
muIN_ep_08         7.97      1.36     5.65    10.93 1.00     2770     3047
muIN_ep_08_sd     -5.45      1.34    -8.37    -3.15 1.00     2861     3542
muIN_RFI          -1.81      0.52    -2.91    -0.85 1.00     4051     4589

#############################
#ariaDNE 0.08 (ep_08) + ariaDNE 0.08 CV (ep_08_sd) + OPC + RFI
> summary(ep08_sd_opc_rfi_mod, WAIC=T)
 Family: categorical 
  Links: muFL = logit; muIN = logit 
Formula: diet ~ ep_08 + ep_08_sd + OPC + RFI 
   Data: data (Number of observations: 225) 
Samples: 4 chains, each with iter = 3000; warmup = 1000; thin = 1;
         total post-warmup samples = 8000

Population-Level Effects: 
               Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
muFL_Intercept    -0.07      0.20    -0.46     0.33 1.00     6960     5988
muIN_Intercept    -7.49      1.62   -11.13    -4.74 1.00     3219     3826
muFL_ep_08         1.73      0.37     1.03     2.48 1.00     5061     5239
muFL_ep_08_sd      1.81      0.39     1.09     2.61 1.00     6944     5230
muFL_OPC           0.79      0.27     0.29     1.33 1.00     6394     5145
muFL_RFI          -0.23      0.27    -0.76     0.31 1.00     5337     5464
muIN_ep_08         8.44      1.45     5.97    11.68 1.00     3080     3985
muIN_ep_08_sd     -5.06      1.32    -7.94    -2.71 1.00     3880     4391
muIN_OPC          -1.20      0.79    -2.87     0.22 1.00     5490     4315
muIN_RFI          -1.90      0.56    -3.09    -0.90 1.00     4776     5003