Formula: d_AC = d_AB - d_CB; var(d_AC) = v_AB + v_CB
References
Bucher, Guyatt, Griffith and Walter (1997), The results of direct and indirect treatment comparisons in meta-analysis of randomized controlled trials, Journal of Clinical Epidemiology 50:683-691. Paywalled; d_AC = d_AB - d_CB with variances added is the standard published form, restated identically in every network meta-analysis source consulted.
Examples
# A vs C through the common comparator B
Bucherind(d_AB = -0.4, v_AB = 0.01, d_CB = -0.1, v_CB = 0.02)
#> $estimate
#> [1] -0.3
#>
#> $variance
#> [1] 0.03
#>
#> $se
#> [1] 0.1732051
#>
#> $z
#> [1] -1.732051
#>
#> $p_value
#> [1] 0.08326452
#>
#> $ci_lower
#> [1] -0.6394757
#>
#> $ci_upper
#> [1] 0.03947572
#>
#> $method
#> [1] "Bucher adjusted indirect comparison"
#>
#> attr(,"class")
#> [1] "morie_rich_result" "list"
