It is important to ensure the reliability and efficient data transmission in underwater sensor network. For considering the importance of energy consumption in UWSN, we propose an energy-efficient data transmission scheme, called EGRC (Energy-efficiency Grid Routing Cubes) in Underwater Sensor Networks. It takes the complex properties of three dimensional changing topology, high propagation delay, node mobility and density, as well as rotation mechanism of cluster-head nodes. We split-up the entire network as small cubes and in each grid elect one CH node. Moreover, EGRC utilizes residual energy, locations and end-to-end delay for searching for the next-hop node to maintain the reliability of data transmission. Our proposed propose an enhanced ANOVA model and three different statistical tests in order to identify neighboring nodes. The main objective is to eliminate redundancy and reduce the size of data transmitted in order to optimize the energy consumption and to reduce overload on the network level. Simulation result shows that out proposed ANOVA technique provides high efficient data transmission and achieves better performance compared to other techniques.