Indirect metrics in quality models define weighted integrations of direct metrics to provide higher-level quality indicators. This paper presents a case study that investigates to what degree quality models depend on statistical assumptions about the distribution of direct metrics values when these are integrated and aggregated. We vary the normalization used by the quality assessment efforts of three companies, while keeping quality models, metrics, metrics implementation and, hence, metrics values constant. We find that normalization has a considerable impact on the ranking of an artifact (such as a class). We also investigate how normalization affects the quality trend and find that normalizations have a considerable effect on quality trends. Based on these findings, we find it questionable to continue to aggregate different metrics in a quality model as we do today.