Table 7 The zones of ideal anatomy from the perspectives of laypeople, dentists, and orthodontists (P > 0.05, Bonferroni). The full results of the Bonferroni test are presented as Appendix 2. The first number shows the extent of gingival display and the second number shows the buccal corridor width. Note: The perceptometric images are sorted in this table after data collection (for a better visualization); during the survey, the perceptometric images were randomized

Laypeople

Long 0mm 15% (the most attractive image)

Long 2mm 25%

1.833

0.224

0.000000

0.879

2.788

Short 2mm 25%

1.833

0.189

0.000000

1.027

2.640

Short 2mm 20%

1.833

0.193

0.000000

1.009

2.658

Long 2mm 20%

1.639

0.226

0.000006

0.674

2.603

Normal 2mm 25%

1.528

0.213

0.000008

0.620

2.436

Short 6mm 15%

1.556

0.216

0.000008

0.633

2.478

Long 2mm 15%

1.306

0.218

0.000270

0.377

2.234

Short 2mm 2%

1.361

0.246

0.001126

0.311

2.412

Normal 2mm 20%

1.083

0.180

0.000252

0.316

1.851

Long 6mm 15%

1.111

0.177

0.000119

0.355

1.867

Normal 6mm 15%

1.000

0.191

0.002776

0.184

1.816

Long 2mm 2%

1.444

0.197

0.000005

0.604

2.285

Short 2mm 15%

1.333

0.218

0.000194

0.402

2.265

Short 2mm 10%

1.306

0.238

0.001333

0.288

2.323

Long 2mm 10%

1.250

0.208

0.000274

0.360

2.140

Short 4mm 15%

1.056

0.178

0.000333

0.296

1.815

Normal 2mm 15%

0.861

0.219

0.131781

-0.073

1.795

Normal 2mm 2%

0.750

0.277

1.000000

-0.433

1.933

Normal 2mm 10%

0.833

0.227

0.282101

-0.136

1.803

Short 0mm 15%

0.917

0.223

0.080174

-0.036

1.869

Normal 4mm 15%

0.472

0.201

1.0

-0.386

1.331

Long 4mm 15%

0.472

0.189

1.0

-0.334

1.279

Short 2mm 15%

0.694

0.202

0.548345

-0.170

1.559

Normal 0mm 15%

0.333

0.203

1.0

-0.534

1.201

Long 2mm 15%

0.222

0.187

1.0

-0.578

1.022

Normal 2mm 15%

0.194

0.168

1.0

-0.524

0.912

Dentist

Long 0mm 15% (the most attractive image)

Long 2mm 25%

2.278

0.181

0.000000

1.506

3.050

Short 2mm 25%

2.278

0.181

0.000000

1.506

3.050

Short 2mm 20%

2.139

0.192

0.000000

1.321

2.957

Long 2mm 20%

1.889

0.210

0.000000

0.993

2.785

Normal 2mm 25%

1.750

0.234

0.000003

0.753

2.747

Short 6mm 15%

1.778

0.200

0.000000

0.926

2.630

Long 2mm 15%

1.833

0.180

0.000000

1.063

2.603

Short 2mm 2%

1.361

0.236

0.000558

0.353

2.369

Normal 2mm 20%

1.694

0.214

0.000001

0.781

2.607

Long 6mm 15%

1.472

0.171

0.000000

0.741

2.203

Normal 6mm 15%

1.333

0.222

0.000262

0.386

2.280

Long 2mm 2%

1.333

0.215

0.000142

0.417

2.249

Short 2mm 15%

1.389

0.184

0.000003

0.604

2.173

Short 2mm 10%

1.139

0.262

0.039183

0.022

2.256

Long 2mm 10%

1.000

0.236

0.054009

-0.006

2.006

Short 4mm 15%

0.889

0.217

0.084746

-0.039

1.817

Normal 2mm 15%

1.111

0.221

0.005190

0.168

2.055

Normal 2mm 2%

1.083

0.291

0.242961

-0.159

2.326

Normal 2mm 10%

0.861

0.252

0.578359

-0.217

1.939

Short 0mm 15%

0.444

0.216

1.0

-0.478

1.367

Normal 4mm 15%

0.722

0.189

0.187947

-0.087

1.531

Long 4mm 15%

0.722

0.141

0.004104

0.118

1.326

Short 2mm 15%

0.778

0.259

1.0

-0.326

1.881

Normal 0mm 15%

0.528

0.201

1.0

-0.331

1.386

Long 2mm 15%

0.750

0.146

0.003606

0.128

1.372

Normal 2mm 15%

0.250

0.205

1.0

-0.623

1.123

Orthodontist

Long 0mm 15% (the most attractive image)

Long 2mm 25%

2.194

0.153

0.000000

1.540

2.849

Short 2mm 25%

1.972

0.171

0.000000

1.241

2.703

Short 2mm 20%

1.778

0.200

0.000000

0.926

2.630

Long 2mm 20%

1.806

0.168

0.000000

1.088

2.524

Normal 2mm 25%

1.944

0.187

0.000000

1.148

2.741

Short 6mm 15%

1.861

0.188

0.000000

1.061

2.662

Long 2mm 15%

1.194

0.137

0.000000

0.610

1.779

Short 2mm 2%

1.556

0.189

0.000000

0.750

2.361

Normal 2mm 20%

1.417

0.171

0.000000

0.688

2.146

Long 6mm 15%

1.472

0.171

0.000000

0.741

2.203

Normal 6mm 15%

1.583

0.175

0.000000

0.835

2.332

Long 2mm 2%

1.083

0.201

0.001686

0.227

1.940

Short 2mm 15%

1.000

0.169

0.000350

0.278

1.722

Short 2mm 10%

1.139

0.208

0.001291

0.253

2.025

Long 2mm 10%

0.778

0.160

0.008495

0.095

1.460

Short 4mm 15%

0.806

0.190

0.055616

-0.007

1.618

Normal 2mm 15%

0.750

0.166

0.024051

0.041

1.459

Normal 2mm 2%

0.806

0.221

0.304268

-0.139

1.750

Normal 2mm 10%

0.611

0.200

1.000000

-0.244

1.466

Short 0mm 15%

0.750

0.184

0.089002

-0.036

1.536

Normal 4mm 15%

0.861

0.183

0.013913

0.079

1.643

Long 4mm 15%

0.694

0.173

0.104034

-0.043

1.432

Short 2mm 15%

0.333

0.169

1.0

-0.388

1.055

Normal 0mm 15%

0.306

0.125

1.0

-0.227

0.839

Long 2mm 15%

0.083

0.156

1.0

-0.584

0.750

Normal 2mm 15%

0.083

0.161

1.0

-0.605

0.772