Table 2. Theoretical study: improvement in psychiatric illness after use of psilocybin meta-analysis of nine cross-sectional studies/randomized controlled trials.

SE = standard error; Var = variance; w = weight; w*es = weighted outcome; w*(es²) = weighted outcome squared; w² = weight squared; wv = weighted variance; wv*es = weighted variance outcome; wv*(es²) = weighted variance outcome squared; wv² = weighted variance squared

Study	Events	Sample size	Outcome (es)	SE	Var	w	w*es	w*(es2)	w2	wv	wv*es	wv*(es2)	wv2
Carhart-Harris et al. 2016 [26]	19	20	0.95	0.22	0.05	21.05	20	19	443.21	7.99	7.60	7.22	63.96
Carhart-Harris et al. 2017 [17]	19	19	1	0.23	0.05	19	19	19	361	7.68	7.68	7.68	59.10
Davis et al. 2021 [32]	17	24	0.71	0.17	0.03	33.88	24	17	1148.01	9.34	6.62	4.69	87.26
Ross et al. 2016 [33]	20.3	29	0.7	0.16	0.02	41.43	29	20.3	1716.32	9.84	6.88	4.82	96.73
Griffiths et al. 2016 [4]	41	51	0.80	0.13	0.02	63.44	51	41	4024.51	10.72	8.62	6.93	114.88
Larsen et al. 2017 [6]	2	12	0.17	0.12	0.01	72	12	2	5184	10.94	1.82	0.30	119.63
Johnson et al. 2014 [23]	12	15	0.8	0.23	0.05	18.75	15	12	351.56	7.64	6.11	4.89	58.39
Mason et al. 2019 [11]	50	50	1	0.14	0.02	50	50	50	2500	10.25	10.25	10.25	105.12
Stroud et al. 2018 [12]	17	17	1	0.24	0.06	17	17	17	289	7.33	7.33	7.33	53.78
Sums						336.55	237	197.3	16017.63	81.74	62.92	54.11	758.78