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Table 7 Results of the mixed-effects regression analyses for change in running speed across years in male marathoners

From: Male and female Ethiopian and Kenyan runners are the fastest and the youngest in both half and full marathon

Parameter

Estimate

SE

DF

T

p value

95 % CI

Upper

Lower

Austria

       

 Constant term

119.014606

78.665485

352.571

1.513

0.131

−35.698004

273.727215

 Year

−0.053124

0.039182

352.518

−1.356

0.176

−0.130183

0.023936

 Cage

−0.053906

0.018537

374.501

−2.908

0.004

−0.090356

−0.017456

 Cage2

0.002858

0.001180

374.482

2.423

0.016

0.000538

0.005179

France

       

 Constant term

12.224516

32.400764

1943.299

0.377

0.706

−51.319391

75.768423

 Year

0.000774

0.016138

1943.341

0.048

0.962

−0.030876

0.032424

 Cage

−0.042530

0.007858

2185.277

−5.412

0.000

−0.057940

−0.027119

 Cage2

0.001220

0.000546

2369.390

2.235

0.025

0.000150

0.002290

Great Britain

 Constant term

168.008185

77.417245

265.471

2.170

0.031

15.578253

320.438116

 Year

−0.076916

0.038558

265.527

−1.995

0.047

−0.152834

−0.000997

 Cage

−0.003050

0.013447

228.557

−0.227

0.821

−0.029546

0.023446

 Cage2

0.000290

0.001143

251.114

0.254

0.800

−0.001961

0.002541

Germany

       

 Constant term

−26.616836

25.282326

2510.280

−1.053

0.293

−76.193187

22.959515

 Year

0.019883

0.012593

2510.229

1.579

0.114

−0.004811

0.044578

 Cage

−0.007977

0.005083

2186.239

−1.570

0.117

−0.017944

0.001990

 Cage2

0.000147

0.000344

2231.865

0.427

0.669

−0.000528

0.000822

Italy

       

 Constant term

82.322203

91.156734

288.896

0.903

0.367

−97.093338

261.737745

 Year

−0.033932

0.045393

288.917

−0.748

0.455

−0.123275

0.055411

 Cage

−0.058144

0.019311

261.042

−3.011

0.003

−0.096169

−0.020119

 Cage2

0.000191

0.001214

322.202

0.157

0.875

−0.002199

0.002580

Japan

       

 Constant term

49.803604

170.811818

103.019

0.292

0.771

−288.960603

388.567811

 Year

−0.018372

0.085088

103.003

−0.216

0.829

−0.187123

0.150380

 Cage

−0.086555

0.031059

107.375

−2.787

0.006

−0.148123

−0.024987

 Cage2

0.001926

0.001684

107.206

1.144

0.255

−0.001412

0.005264

Switzerland

 Constant term

25.878076

7.195438

22,373.993

3.596

0.000

11.774513

39.981639

 Year

−0.005404

0.003584

22,373.571

−1.508

0.132

−0.012428

0.001620

 Cage

−0.002664

0.001012

17,294.094

−2.633

0.008

−0.004647

−0.000681

 Cage2

−0.000235

6.583543E−5

17,295.657

−3.565

0.000

−0.000364

−0.000106

Canada

       

 Constant term

−106.659105

171.420255

81.342

−0.622

0.536

−447.709874

234.391663

 Year

0.059022

0.085420

81.336

0.691

0.492

−0.110927

0.228971

 Cage

−0.050496

0.030360

68.401

−1.663

0.101

−0.111073

0.010080

 Cage2

0.006306

0.001988

62.037

3.172

0.002

0.002332

0.010280

Principality of Liechtenstein

 Constant term

236.267620

241.570336

77.992

0.978

0.331

−244.662729

717.197969

 Year

−0.109511

0.120377

77.993

−0.910

0.366

−0.349164

0.130142

 Cage

0.034908

0.042003

73.075

0.831

0.409

−0.048802

0.118618

 Cage2

0.001951

0.003222

72.523

0.606

0.547

−0.004471

0.008373

United States of America

 Constant term

179.260596

91.774367

188.890

1.953

0.052

−1.773750

360.294941

 Year

−0.082585

0.045712

188.881

−1.807

0.072

−0.172757

0.007587

 Cage

0.003829

0.014234

167.444

0.269

0.788

−0.024273

0.031931

 Cage2

0.000319

0.000945

149.574

0.338

0.736

−0.001548

0.002186

Belgium

       

 Constant term

220.791210

167.798520

108.714

1.316

0.191

−111.789810

553.372230

 Year

−0.102767

0.083486

108.675

−1.231

0.221

−0.268238

0.062704

 Cage

−0.029095

0.030424

119.603

−0.956

0.341

−0.089335

0.031145

 Cage2

0.000194

0.002163

96.384

0.090

0.929

−0.004099

0.004486

Spain

       

 Constant term

−130.890461

169.416654

5.528

−0.773

0.471

−554.170969

292.390047

 Year

0.072247

0.084311

5.528

0.857

0.427

−0.138405

0.282899

 Cage

−0.050933

0.030883

5.028

−1.649

0.160

−0.130185

0.028319

 Cage2

0.001306

0.004902

56.210

0.266

0.791

−0.008513

0.011125

Poland

       

 Constant term

−173.031933

285.748419

50.731

−0.606

0.548

−746.769620

400.705753

 Year

0.092292

0.142290

50.736

0.649

0.520

−0.193403

0.377986

 Cage

−0.019397

0.026881

30.284

−0.722

0.476

−0.074273

0.035480

 Cage2

−0.000780

0.001881

35.444

−0.414

0.681

−0.004597

0.003038

Kenya

       

 Constant term

31.727578

85.570347

33.000

0.371

0.713

−142.366603

205.821759

 Year

−0.007558

0.042603

33.000

−0.177

0.860

−0.094234

0.079119

 Cage

−0.192695

0.042007

33.000

−4.587

0.000

−0.278159

−0.107230

 Cage2

−0.005855

0.002387

33.000

−2.453

0.020

−0.010712

−0.000999

Ethiopia

       

 Constant term

185.271970

155.298262

15.000

1.193

0.251

−145.738439

516.282379

 Year

−0.085404

0.077000

15.000

−1.109

0.285

−0.249526

0.078718

 Cage

−0.708418

0.358618

15.000

−1.975

0.067

−1.472793

0.055957

 Cage2

−0.034788

0.014889

15.000

−2.337

0.034

−0.066522

−0.003053

  1. Data for Non-African runners are sorted in order of the number of finishers of each country
  2. Cage centered age, Cage 2 centered age squared