Nowadays, the presence of cache hierarchies tends to be a common trend in processor architectures, even in hardware for real-time embedded systems. Caches are used to fill the gap between the processor and the main memory, reducing access times based on spatial and temporal locality properties of tasks. Cache hierarchies are going even further however at the price of increased complexity. In this paper, we present a safe static data cache analysis method for hierarchies of non-inclusive caches. Using this method, we show that considering the cache hierarchy in the context of data caches allows tighter estimates of the worst case execution time than when considering only the first cache level. We also present considerations about the update policy for data caches.