Table 3. Analysis of the correlation between HRmax predicted and measured by the equation developed by (a) Tanaka et al. ⁶ ; (b) Fox et al. ⁵ ; (c) Nikolaidis ²³ ; and (d) Mahon et al. ¹² and (e) by different studies.

Study name	Subgroup within study	Statistics for each study
		Correlation	Lower limit	Upper limit	Z	p-value
a) Cross-validation Tanaka et al. 6
Gelbart et al. 14		0.278	0.19	0.36	5.92	<0.001
Machado and Denadai 13		-0.100	-0.32	0.14	-0.78	0.434
Souza et al. 24		0.461	0.15	0.69	2.82	0.005
Overall effect		0.246	0.16	0.32	5.76	<0.001
b) Cross-validation Fox et al. 5
Gelbart et al. 14		0.278	0.19	0.36	5.92	<0.001
Machado and Denadai 13		-0.096	-0.32	0.14	-0.78	0.434
Souza et al. 24		0.214	-0.13	0.51	1.23	0.219
Overall effect		0.229	0.15	0.31	5.37	<0.001
c) Cross-validation Nikolaidis 23
Gelbart et al. 14		0.278	0.19	0.36	5.92	<0.001
Machado and Denadai 13		-0.270	-0.41	-0.12	-3.49	<0.001
Souza et al. 24		0.237	-0.10	0.53	1.37	0.172
Overall effect		0.138	0.06	0.21	3.47	0.001
d) Cross-validation Mahon et al.12 – Equation 2
Gelbart et al. 14		0.335	0.25	0.42	7.23	<0.001
Mahon et al. 12		0.510	0.27	0.69	3.94	<0.001
Overall effect		0.354	0.27	0.43	8.11	<0.001
e) Cross-validation by different studies
Gelbart et al. 14
CV Edvardsen et al. 35		-0.023	-0.18	0.07	-0.48	0.633
CV Gellish et al. 36		0.278	0.19	0.36	5.92	<0.001
CV Inbar et al. 33		0.207	0.11	0.29	4.33	<0.001
CV Itoh et al. 32		-0.030	-0.12	0.06	-0.62	0.534
CV Londeree and Moeschberger 37		0.278	0.19	0.36	5.92	<0.001
CV Moss and Allen 34		0.278	0.19	0.36	5.92	<0.001
CV Nes et al. 4		0.278	0.19	0.36	5.92	<0.001
CV Robergs and Landwehr 10		0.278	0.19	0.36	5.92	<0.001
CV Whyte et al. 31		0.234	0.14	0.32	4.94	<0.001
CV Gelbart et al. 14 – Eq. 1		0.500	0.43	0.57	11.39	<0.001
CV Gelbart et al. 14 – Eq. 2		0.460	0.38	0.53	10.31	<0.001
Mahon et al. 12
CV Mahon et al. 12 – Eq. 1		0.540	0.31	0.71	4.23	<0.001
Overall effect		0.258	0.23	0.28	18.28	<0.001

CV: cross-validation; Eq.: equation; In bold: statistically significant result (p≤0.05).