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Table 4 Agreement by Cohen’s and Fleiss’ Kappa statistics

From: Different interpretation of additional evidence for HTA by the commissioned HTA body and the commissioning decision maker in Germany: whenever IQWiG and Federal Joint Committee disagree

Agreement

Kappa

SE/Zb

CI95%

Strength of agreementa

a. Nominal binary Cohen’s kappa

 Overall addenda vs appraisals added benefit

0.183

0.088

0.010–0.357

poor

 Overall addenda vs appraisals evidence level

0.353

0.085

0.187–0.520

fair

 Infectious diseases addenda vs appraisals added benefit

−0.029

0.108

−0.241 – 0.183

less than by chance

 Infectious diseases addenda vs appraisals evidence level

0.492

0.152

0.194–0.791

moderate

 Infectious diseases addenda vs appraisals benefit and evidence level

0.186

0.170

−0.146 – 0.518

poor

 Metabolic diseases addenda vs appraisals added benefit

0.308

0.301

−0.283 – 0.898

fair

 Metabolic diseases addenda vs appraisals evidence level

0.308

0.301

−0.283 – 0.898

fair

 Metabolic diseases addenda vs appraisals benefit and evidence level

0.308

0.301

−0.283 – 0.898

fair

 Oncological diseases addenda vs appraisals added benefit

0.073

0.133

−0.188 – 0.333

poor

 Oncological diseases addenda vs appraisals evidence level

0.176

0.132

−0.081 – 0.434

poor

 Oncological diseases addenda vs appraisals benefit and evidence level

0.188

0.159

− 0.123 – 0.499

poor

 Neurological diseases addenda vs appraisals all three outcomes

1.000

1.000

1.000–1.000

perfect

 Respiratory diseases addenda vs appraisals added benefit

−0.154

0.415

−0.967 – 0.660

less than by chance

 Respiratory diseases addenda vs appraisals evidence level

−0.667

0.248

−1.000 – −0.180

less than by chance

 Respiratory diseases addenda vs appraisals benefit and evidence level

−0.500

0.375

−1.000 – 0.235

less than by chance

 Other diseases addenda vs appraisals added benefit

0.613

0.199

0.222–1.000

substantial

 Other diseases addenda vs appraisals evidence level

0.625

0.181

0.270–0.980

substantial

 Other diseases addenda vs appraisals benefit and evidence level

0.800

0.188

0.432–1.000

substantial

b. Ordinal Fleiss’ kappa

 Overall assessments vs addenda vs appraisals added benefit

 Cat1 “no added benefit”

 Cat2 “non-quantifiable added benefit”

 Cat3 “minor added benefit”

 Cat4 “considerable added benefit”

 Cat5 “major added benefit”

0.474

0.622

0.384

0.338

0.386

0.375

0.034

Z 12.007

Z 7.399

Z 6.513

Z 7.453

Z 7.229

0.408–0.540

moderate

Overall assessments vs addenda vs appraisals evidence level

 Cat1 “not proven”

 Cat2 “hint”

 Cat3 “indication”

Cat4 “proof”

0.520

0.596

0.318

0.638

0.431

0.034

Z 11.505

Z 6.126

Z 12.312

Z 8.306

0.454–0.586

moderate

 Overall assessments vs addenda vs appraisals combined categories

 Cat1 “added benefit not proven”

 Cat2 “hint of non-quantifiable added benefit”

 Cat3 “indication of non-quantifiable added benefit”

 Cat4 “proof of non-quantifiable added benefit”

 Cat5 “hint of minor added benefit”

 Cat6 “indication of minor added benefit”

 Cat7 “proof of minor added benefit”

 Cat8 “hint of considerable added benefit”

 Cat9 “indication of considerable added benefit”

 Cat10 “proof of considerable added benefit”

 Cat11 “hint of major added benefit”

 Cat12 “indication of major added benefit”

 Cat13 “proof of major added benefit”

0.421

0.622

0.241

0.397

NaN

0.293

0.272

0.272

0.191

0.384

−0.005

0.242

0.344

NaN

0.036

Z 12.001

Z 4.649

Z 7.661

NaN

Z 5.660

Z 5.246

Z 5.246

Z 3.676

Z 7.401

Z − 0.104

Z 4.665

Z 6.640

NaN

0.351–0.491

moderate

c. Ordinal Cohen’s kappa

 Oncological diseases addenda vs appraisals added benefit

Weighted

0.434

0.565

0.091

0.082

0.256–0.611

0.403–0.727

moderate

moderate

 Without oncological diseases addenda vs appraisals added benefit

Weighted

0.456

0.517

0.102

0.095

0.255–0.656

0.331–0.703

moderate

moderate

 Oncological diseases addenda vs appraisals evidence level

Weighted

0.389

0.470

0.098

0.091

0.197–0.580

0.292–0.649

fair

moderate

 Without oncological diseases addenda vs appraisals evidence level

Weighted

0.602

0.733

0.091

0.063

0.423–0.779

0.610–0.857

moderate

substantial

 Infectious diseases addenda vs appraisals added benefit

Weighted

0.314

0.417

0.280

0.249

−0.234 – 0.863

− 0.071 – 0.904

fair

moderate

 Without infectious diseases addenda vs appraisals added benefit

Weighted

0.475

0.582

0.068

0.060

0.342–0.608

0.464–0.700

moderate

moderate

 Infectious diseases addenda vs appraisals evidence level

Weighted

0.824

0.902

0.169

0.094

0.493–1.000

0.717–1.000

almost perfect

almost perfect

 Without infectious diseases addenda vs appraisals evidence level

Weighted

0.488

0.598

0.069

0.057

0.353–0.623

0.486–0.710

moderate

moderate

 Metabolic diseases addenda vs appraisals added benefit

Weighted

0.000

0.000

0.661

0.676

−1.000 – 1.000

−1.000 – 1.000

by chance

by chance

 Without metabolic diseases addenda vs appraisals added benefit

Weighted

0.466

0.526

0.076

0.070

0.317–0.614

0.389–0.664

moderate

moderate

 Metabolic diseases addenda vs appraisals evidence level (ordinal)

Weighted

−0.091

− 0.091

0.568

0.568

−1.000 – 1.000

− 1.000 – 1.000

less than by chance

less than by chance

 Without metabolic diseases addenda vs appraisals evidence level

Weighted

0.598

0.726

0.069

0.049

0.463–0.732

0.631–0.822

moderate

substantial

  1. aStrength of agreement: < 0 less than by chance, 0.01–0.20 poor, 0.21–0.40 fair, 0.41–0.60 moderate, 0.61–0.80 substantial, 0.81–0.99 almost perfect
  2. bif Z exceeds 2.326 there is 99% probability that Kappa > 0; if Z exceeds 1.645 there is 95% probability that Kappa > 0