The Hall effect, electrical conductivity and electron mobility are investigated at temperatures between 55 and 500K in n-ZnSe crystals doped with Cu, Ag or Au. The presence of a small amount of Cu atoms leads to an inversion of the sign of the Hall coefficient at temperatures above 300K. Anomalous temperature dependence of the electron mobility is observed in the samples with low Cu concentration (<0.3at.% in the melt). Different characters of the temperature dependences of kinetic coefficients are found for n-ZnSe doped with Ag and Au. These curves are typical for crystals having several donor levels at different energetic depths. Immediately after doping, silver behaves like a usual compensating acceptor impurity while gold shows amphoteric properties. We propose a model that explains the anomalies of the temperature dependences of the kinetic coefficients in Cu-doped crystals and the lack of the anomalies in Ag-doped and Au-doped crystals. In accordance with this model and our experimental data, copper in n-ZnSe has two charge states, Cu_Zn ⁺ (d¹⁰) and Cu_Zn²⁺ (d⁹), and two acceptor levels near the valence band. Silver and gold exist in single-charged states Ag_Zn⁺ and Au_Zn ⁺ with d¹⁰ electron configuration forming single energy levels near the valence band. Au atoms form mainly interstitial Au_i donors at low doping concentrations and substitutional Au_Zn and Au_Zn-based acceptors at high doping concentrations. Time stimulation of the amphoteric properties of Ag is discussed.