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Table 2 Scenarios used in the simulations based on equation (1)

From: Bivariate random-effects meta-analysis and the estimation of between-study correlation

  Pooled values Between-study variances Within- and between-study correlation Within-study variation  
Scenario β 1 β 2 τ 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFepaDdaqhaaWcbaGaeGymaedabaGaeGOmaidaaaaa@3087@ τ 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFepaDdaqhaaWcbaGaeGOmaidabaGaeGOmaidaaaaa@3089@ ρ Wi ρ B Median value of the s i j 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGZbWCdaqhaaWcbaGaemyAaKMaemOAaOgabaGaeGOmaidaaaaa@31F2@ s: Description
Complete data       n = 50 n = 5  
(i) 0 2 0.25 0.25 0 0 0.254 0.147 Zero correlation; within-study variation similar to between-study variation
(ii) 0 2 0.25 0.25 0 0.8 0.254 0.147 No within-study correlation but high between-study correlation; within-study variation similar to between-study variation
(iii) 0 2 0.25 0.25 0.8 0 0.254 0.147 High within-study correlation but no between-study correlation; within-study variation similar to between-study variation
(iv) 0 2 0.25 0.25 0.8 0.8 0.254 0.147 High within- and between-study correlation; within-study variation similar to between-study variation
(v) 0 2 0.0025 0.0025 0.8 0.8 0.254 0.147 High within- and between-study correlation; within-study variation large relative to between-study variation
(vi) 0 2 0.0025 1.5 0.8 0.8 0.254 0.147 High within- and between-study correlation; within-study variation large (for endpoint 1) and small (for endpoint 2) relative to between-study variation
(vii) 0 2 1.5 1.5 0.8 0.8 0.254 0.147 High within- and between-study correlation; within-study variation small relative to between-study variation
Missing data       n = 50 n = 10  
(viii) 0 2 1.5 1.5 0 0.8 0.244 0.183 No within-study correlation but high between-study correlation; within-study variance small relative to between-study variance
(ix) 0 2 0.25 0.25 0 0.8 0.244 0.183 No within-study correlation but high between-study correlation; within-study variance similar to between-study variance
(x) 0 2 1.5 1.5 0.8 0.8 0.244 0.183 High within- and between-study correlation; within-study variance small relative to between-study variance
(xi) 0 2 0.25 0.25 0.8 0.8 0.244 0.183 High within- and between-study correlation; within-study variance similar to between-study variance