  In this letter the robustness of the first results from the KamLAND reactor
neutrino experiment with respect to variations in the statistical analysis is
considered. It is shown that an event-by-event based likelhood analysis
provides a more powerful tool to extract information from the currently
available data sample than a least-squares method based on energy binned data.
Furthermore, a frequentist analysis of KamLAND data is performed. Confidence
regions with correct coverage in the plane of the oscillation parameters are
calculated by means of a Monte Carlo simulation. I find that the results of the
usually adopted $\chi^2$-cut approximation are in reasonable agreement with the
exact confidence regions, however, quantitative differences are detected.
Finally, although the current data is consistent with an energy independent
flux suppression, a $\sim 2\sigma$ indication in favour of oscillations can be
stated, implying quantum mechanical interference over distances of the order of
200 km.
