Table 4.

Combined estimates of κ_w with different weighting schemes

Weighting scheme	${\widehat{\mathrm{\kappa }}}_{w\mathit{collapsed}}$ (95% CI)	${\widehat{\mathrm{\kappa }}}_{w\mathit{fixed}}$ (95% CI)	χ 2 heterogeneity	${\widehat{\mathrm{\kappa }}}_{w\mathit{random}}$ (95% CI)	${\widehat{\mathrm{\kappa }}}_{w\mathit{averaged}}$ (95% CI)
Unweighted	0.55 (0.49, 0.62)	0.52 (0.45, 0.59)	21.20	0.53 (0.45, 0.60)	0.57 (0.48, 0.65)
Linear	0.58 (0.51, 0.65)	0.52 (0.45, 0.59)	35.67	0.56 (0.46, 0.66)	0.59 (0.51, 0.68)
Quadratic	0.61 (0.50, 0.71)	0.53 (0.44, 0.62)	38.71	0.59 (0.45, 0.74)	0.63 (0.52, 0.73)
A1	0.64 (0.56, 0.73)	0.51 (0.43, 0.59)	47.15	0.62 (0.48, 0.77)	0.66 (0.57, 0.75)
A2	0.62 (0.54, 0.70)	0.50 (0.43, 0.57)	45.75	0.60 (0.47, 0.73)	0.64 (0.54, 0.73)
A3	0.60 (0.53, 0.68)	0.51 (0.44, 0.58)	39.28	0.58 (0.47, 0.69)	0.62 (0.53, 0.71)
A4	0.60 (0.53, 0.67)	0.51 (0.44, 0.58)	36.04	0.57 (0.47, 0.68)	0.61 (0.52, 0.70)
A5	0.59 (0.52, 0.66)	0.52 (0.45, 0.59)	33.22	0.56 (0.46, 0.67)	0.60 (0.52, 0.69)
A6	0.58 (0.51, 0.64)	0.52 (0.45, 0.59)	29.10	0.55 (0.46, 0.64)	0.59 (0.51, 0.67)
B1	0.59 (0.53, 0.66)	0.53 (0.46, 0.59)	30.52	0.56 (0.47, 0.66)	0.60 (0.52, 0.69)
B2	0.58 (0.51, 0.65)	0.53 (0.46, 0.59)	26.01	0.55 (0.46, 0.64)	0.59 (0.51, 0.67)
B3	0.59 (0.53, 0.66)	0.53 (0.47, 0.60)	25.11	0.55 (0.47, 0.64)	0.60 (0.51, 0.68)
C1	0.58 (0.51, 0.65)	0.53 (0.46, 0.59)	26.05	0.55 (0.46, 0.64)	0.59 (0.51, 0.67)
C2	0.58 (0.51, 0.65)	0.52 (0.45, 0.59)	28.82	0.55 (0.46, 0.65)	0.60 (0.51, 0.68)
C3	0.58 (0.51, 0.65)	0.52 (0.45, 0.59)	31.26	0.56 (0.46, 0.66)	0.60 (0.51, 0.68)
min-max ${\widehat{\mathrm{\kappa }}}_w$ across weighting schemes	0.55–0.64	0.50–0.53	χ 217(0.95) =27.59	0.53–0.62	0.57–0.66