Table 1.

Summary of Linear Mixed-Effects Model findings

Variable	LME1 (total)		LME2 (males)		LME3 (females)
	β	P value	β	P value	β	P value
Intercept	1.147	< 0.01	1.234	< 0.01	1.292	< 0.01
Gender	0.085	< 0.01	-	-	-	-
Liver cirrhosis	0.456	< 0.01	0.446	< 0.01	0.458	< 0.01
Time	-0.093	< 0.01	-0.093	< 0.01	-0.089	< 0.01
Cage	-0.002	< 0.01	-0.006	< 0.01	0.005	< 0.01
State	0.314	< 0.01	0.325	< 0.01	0.317	< 0.01
Time:Cage	0.003	< 0.01	0.004	< 0.01	0.002	< 0.01
Time:State	0.006	> 0.05	0.006	> 0.05	-0.003	> 0.05

LME₁: Linear Mixed-Effects Model for the overall population; LME₂: Linear Mixed-Effects Model for males; LME₃: Linear Mixed-Effects Model for females; Intercept: The average intercept of all subjects; Liver cirrhosis: Whether cirrhosis had occurred at baseline; Time: The interval between each detection time and the first detection time (years); Cage: Baseline age after centralization; State: Outcome state; Time:Cage: The interaction of time and cage; Time:State: The interaction of time and state; β: Fixed-effect regression coefficient.