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Statistics<br />
Glycyrrhizin for IFN-non responders 129<br />
A data analysis plan was developed before closure of the database. The Kaplan Meier<br />
method was used to assess the occurrence of HCC over time in the overall population.<br />
Risk factors for development of hepatocellular carcinoma over time were assessed by<br />
time-dependent Cox-regression analysis. Baseline factors and medication during followup<br />
after interferon treatment were included in this analysis. The latter factor necessitated<br />
the time dependent form of Cox regression analysis. In order to avoid bias, cases were<br />
censured at the time of a second interferon-based treatment.<br />
According to the data analysis plan, a second analysis was done to assess the effect of<br />
glycyrrhizin according to response. Response to glycyrrhizin was defi ned as ALT levels <<br />
1.5 x upper limit of normal at the fi rst measurement 3 months after initiation of treatment.<br />
Statistical analyses were performed using SPSS Windows version 11 (SPSS Inc, Chicago,<br />
IL, USA). Findings showed a strong infl uence of fi brosis and ALT elevation on development<br />
of HCC. Therefore, an additional analysis was done in a more homogeneous group<br />
of patients with advanced fi brosis.<br />
Simply adjusting for ALT as a time-dependent covariate in a Cox model may lead to a<br />
biased estimate of the treatment effect, since higher ALT levels were associated with a<br />
higher probability of developing HCC and also of starting glycyrrhizin therapy (fi gure 1).<br />
In order to estimate the causal effect of time-dependent glycyrrhizin treatment in the<br />
presence of a time-dependent covariate ALT, we used the G-estimation described by<br />
Robins. 9 This method is designed to get an unbiased estimate of a treatment effect in<br />
Risk of<br />
HCC<br />
High ALT Low ALT<br />
Glycyrrhizin<br />
exposure<br />
Figure 1. Elevated ALT-levels during follow-up were associated with a higher probability of receiving<br />
glycyrrhizin, but also lead to a higher probability of developing HCC.<br />
As ALT-levels are lowered by glycyrrhizin treatment, ALT is regarded as a time-dependent covariate<br />
which is both a confounder and an intermediate. In order to investigate whether glycyrrhizin reduces<br />
the risk of developing HCC by lowering ALT levels (dotted arrow), sophisticated statistical analyses were<br />
required and a G-estimation was performed<br />
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