Using as a reference existing guidelines and previous research, we consider the following factors to be predictors of a negative outcome with a high specificity of > 90% with small 95% confidence intervals: loss of cortical N20 SEP potentials, loss of more than one brain stem reflex, non-reactive EEG, or a NSE above 33 mcg/L. We refer to the presence of any of these specific unfavourable test results during the ICU treatment as a "negative predictor". Therefore, our null hypothesis is that the probability of a favourable outcome, despite the presence of a negative predictor, is < 10%. We will use Simon's two-stage design. The null hypothesis will be tested against a one-sided alternative. In the first stage, we will accrue 72 patients. If there are 8 or fewer good outcomes in these 72 patients, the study will be discontinued because the null hypothesis could not be rejected. Otherwise, we will recruit 100 additional patients to gather a total of 172. The null hypothesis will be rejected if 28 or more favourable outcomes are observed in these 172 patients. This design yields a type I error rate of 0.05 and power of 80% if the true response rate is 25%, i.e. if indeed 25% or more patients have a favourable outcome despite a negative predictor. This calculation is based on the assumption that 25% of the enrolled patients have at least one negative predictor.