Table 3 Combined associations of serum BCAAs and LTL with frailty score in the oldest-old subjects.

	LTL	β^#	95%CI	P	P _interaction
BCAAs
low	short	reference
	long	0.02	−0.02, 0.06	0.263
high	short	−0.04	−0.07, 0.00	0.059	0.042
	long	−0.07	−0.11, −0.03	<0.001
Val
low	short	reference
	long	0.02	−0.02, 0.05	0.368
high	short	−0.02	−0.06, 0.01	0.202	0.087
	long	−0.05	−0.09, −0.02	0.006
Leu
low	short	reference
	long	0.02	−0.01, 0.06	0.218
high	short	−0.03	−0.07, 0.01	0.154	0.038
	long	−0.06	−0.10, −0.02	0.002
Ile
low	short	reference
	long	0.01	−0.03, 0.05	0.599
high	short	−0.05	−0.09, 0.01	0.008	0.149
	long	−0.08	−0.12, −0.04	<0.001

BCAA, branched-chain amino acids; Val, valine; Leu, leucine; Ile, isoleucine; LTL, leukocyte telomere length; 95%CI: 95% confidence interval. #β represents the difference in frailty score between each subgroup and the reference group. P _interaction was estimated from the general linear model by converting BCAAs and LTL into binary variables with a median split method.

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