Table 4.

Model summary for the risk/likelihood of chemsex activity among MSM living with HIV

		HIV negative		HIV positive			Frequentist approach	Bayesian approach with half normal distribution prior†
Study	Year	Chemsex activity	Total Sample size	Chemsex activity	Total Sample size	Log Odds ratio (95%CI)	Pooled effect 95% CI)	τ	Fixed effect (95% CrI)	Random effect τ (95%CrI)	Predictive distribution (95% CrI)
(He et al., 2018)	2018	85	473	16	82	0.10 (−0.49, 0.70)	1.21 (0.45, 1.96)	1.04	1.22 (0.52, 1.90)	0.90 (0.57, 1.31)	1.22 (−0.79, 3.21)
(Liu & Detels, 2012)	2012	80	404	3	14	0.10 (−1.20, 1.40)
(Mao et al., 2021)	2021	113	4052	162	444	3.00 (2.73, 3.27)
(Pattanasin et al., 2016)	2016	215	1372	84	372	0.45 (0.17, 0.73)
(Sapsirisavat et al., 2016)	2016	38	387	15	112	0.35 (−0.29, 0.99)
(Sze et al., 2020)	2020	278	2514	78	173	1.89 (1.56, 2.21)
(Xu, Qian, et al., 2014)	2014	116	565	29	60	1.29 (0.74, 1.83)
(Xu, Zhang, et al., 2014)	2014	229	3476	125	354	2.05 (1.79, 2.30)

^†Half-normal distributions with scale 0.5. 95% CI = 95% confident interval. 95% CrI = 95% credible interval. The scale on the effects is log odds ratio.