Table 1.

List of parametric and non-parametric stability statistics to analyze GEI effect in METs experiments.

Statistic	Symbol	Pattern of Selection	Type of Method	Year of Proposition	References
Environmental variance	S2	Minimum value	Parametric	1917	[16]
Mean variance component	θ	Minimum value	Parametric	1959	[17]
GE variance component	θ′	Maximum value	Parametric	1960	[18]
Wricke’s ecovalence	$W_{}^2$	Minimum value	Parametric	1962	[19]
Regression coefficient	bi	See Section 3.2.5	Parametric	1963	[20,21]
Deviation from regression	$S_{\mathrm{di}}^2$	Minimum value	Parametric	1966	[21]
Tai’s stability statistics	λ and α	Minimum value	Parametric	1971	[22]
Shukla’s stability variance	${\sigma }_{}^2$	Minimum value	Parametric	1972	[23]
Pinthus’s coefficient of determination	R2	Maximum value	Parametric	1973	[24]
Coefficient of variance	CV	Minimum value	Parametric	1978	[25]
Nassar and Huhn’s and Huhn’s statistics	S(1, 2, 3, 6)	Minimum value	Non-parametric	1979	[26,27]
Superiority index	P	Maximum value	Parametric	1988	[28]
Kang’s rank-sum	KR	Minimum value	Non-parametric	1988	[29]
TOP-Fox	TOP	See Section 3.1.3	Non-parametric	1990	[30]
Yield stability index	YS	Maximum value	Parametric	1993	[31]
Averages of the squared eigenvector values	Ev	Minimum value	Parametric	1994	[32]
Thennarasu’s non-parametric statistics	NP(1−4)	Minimum value	Non-parametric	1995	[33]
Sums of the absolute value of the IPC scores	SIPC	Minimum value	Parametric	1997	[34]
Sum across environments of the GEI modeled by AMMI	AMGE	Minimum value	Parametric	1997	[34]
Distance of IPCAs point with origin in space	D	Minimum value	Parametric	1997–98	[35,36]
AMMI stability value	ASV	Minimum value	Parametric	2000	[37]
Stability measure based on fitted AMMI model	Wi(AMMI)	Minimum value	Parametric	2002	[38]
AMMI Based Stability Parameter	ASTAB	Minimum value	Parametric	2005	[39]
Harmonic mean of genotypic values	HMGV	Minimum value	Parametric	2007	[40]
Relative performance of genotypic values	RPGV	Minimum value	Parametric	2007	[40]
Harmonic mean of RPGV	HMRPGV	Minimum value	Parametric	2007	[40]
Genotype stability index	GSI	Maximum value	Non-parametric	2008	[41]
Modified AMMI stability value	MASV	Minimum value	Parametric	2012	[42]
Absolute value of relative contribution of IPCAs	Za	Minimum value	Parametric	2012	[42]
Sum across environments of absolute value of GEI modeled by AMMI	AV(AMGE)	Minimum value	Parametric	2012	[42]
AMMI stability index	ASI	Minimum value	Parametric	2014	[43]
Modified AMMI stability index	MASI	Minimum value	Parametric	2018	[44]
Weighted average of absolute scores	WAASB	Minimum value	Parametric	2019	[45]