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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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