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Table 1 Simulation results: estimation performance for \(N=50\) observations, \(\dot{z}_i =\) 10,000 reads, \(T=50\) compositional elements at varying levels of misclassification, and with overdispersion parameter \(d = 0.01\)

From: Analyzing microbiome data with taxonomic misclassification using a zero-inflated Dirichlet-multinomial model

Null

 

\(\beta _{\eta _{t1}} \ne 0\)

\(\beta _{\eta _{t1}} = 0\)

\(\beta _{\gamma _{t1}} \ne 0\)

\(\beta _{\gamma _{t1}} = 0\)

\(\pi _t(\varvec{x}_{ip})\)

 

ABS

COV

ABS

COV

ABS

COV

ABS

COV

ABS

COV

MicroMiss

0.352

0.945

0.271

0.929

0.115

0.685

0.144

0.761

0.115

0.886

ZIDM

0.350

0.946

0.270

0.934

0.261

0.543

0.209

0.621

0.151

0.565

DM

–

–

–

–

0.796

0.087

0.182

0.909

0.565

0.391

Low

 

\(\beta _{\eta _{t1}} \ne 0\)

\(\beta _{\eta _{t1}} = 0\)

\(\beta _{\gamma _{t1}} \ne 0\)

\(\beta _{\gamma _{t1}} = 0\)

\(\pi _t(\varvec{x}_{ip})\)

 

ABS

COV

ABS

COV

ABS

COV

ABS

COV

ABS

COV

MicroMiss

0.354

0.941

0.288

0.927

0.273

0.610

0.164

0.851

0.216

0.776

ZIDM

0.720

0.847

0.468

0.956

0.911

0.000

0.124

0.915

0.625

0.216

DM

–

–

–

–

0.797

0.005

0.081

0.984

0.561

0.246

Medium

 

\(\beta _{\eta _{t1}} \ne 0\)

\(\beta _{\eta _{t1}} = 0\)

\(\beta _{\gamma _{t1}} \ne 0\)

\(\beta _{\gamma _{t1}} = 0\)

\(\pi _t(\varvec{x}_{ip})\)

 

ABS

COV

ABS

COV

ABS

COV

ABS

COV

ABS

COV

MicroMiss

0.359

0.941

0.304

0.938

0.304

0.571

0.157

0.894

0.249

0.728

ZIDM

0.859

0.938

0.291

0.990

0.871

0.012

0.173

0.752

0.603

0.208

DM

–

–

–

–

0.774

0.005

0.076

0.983

0.547

0.234

High

 

\(\beta _{\eta _{t1}} \ne 0\)

\(\beta _{\eta _{t1}} = 0\)

\(\beta _{\gamma _{t1}} \ne 0\)

\(\beta _{\gamma _{t1}} = 0\)

\(\pi _t(\varvec{x}_{ip})\)

 

ABS

COV

ABS

COV

ABS

COV

ABS

COV

ABS

COV

MicroMiss

0.392

0.942

0.358

0.924

0.344

0.485

0.155

0.931

0.278

0.691

ZIDM

0.974

0.974

0.181

0.998

0.789

0.007

0.126

0.830

0.563

0.211

DM

–

–

–

–

0.758

0.006

0.073

0.984

0.539

0.223

  1. ABS, absolute value of the difference between the estimated and true parameters; COV, 0.95 coverage probabilities