Trends of alkaline phosphatase to prealbumin ratio in patients with hepatitis B linked to hepatocellular carcinoma development

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.

Table 2 Event summary of Joint Modeling of Longitudinal and Survival data and hazard ratios

Variable	JMLS1 (total)		JMLS2 (males)		JMLS3 (females)
	HR	P value	HR	P value	HR	P value
Ratio	1.069 (0.923–1.216)	> 0.05	1.034 (0.882–1.213)	> 0.05	1.149 (0.865–1.526)	> 0.05
Cage	1.069 (1.057–1.081)	< 0.01	1.068 (1.055, 1.082)	< 0.01	1.071 (1.045–1.098)	< 0.01
Gender	0.480 (0.377–0.610)	< 0.01	-	-	-	-
Liver cirrhosis	4.570 (3.376–6.185)	< 0.01	4.896 (3.428, 6.994)	< 0.01	3.690 (2.075–6.561)	< 0.01
α	2.065 (1.749-2.439)	< 0.01	2.005 (1.653–2.431)	< 0.01	2.273 (1.620–3.190)	< 0.01

JMLS₁: Joint Modeling of Longitudinal and Survival data for the overall population; JMLS₂: Joint Modeling of Longitudinal and Survival data for males; JMLS₃: Joint Modeling of Longitudinal and Survival data for females; Ratio: Ln(10 alkaline phosphatase to prealbumin ratio); Cage: Baseline age after centralization; Liver cirrhosis: Whether cirrhosis had occurred at baseline; α: The joint coefficient of the joint model.