Starting from the principle of relativity and the local constancy of the light velocity, in this paper we establish a space-time model with the classical domain Dλ(1, 4). We discuss the kinematic effect in it and calculate the frequency shift of the spectral line, and also under the assumption of uniform distribution we compare our result with the observational data of the quasar N-Z relation. Our result shows that the large red shift in the extragalactic objects perhaps is not caused mainly by the Doppler effect, but to a large extent is a distance effect in the λ λ (1, 4) [its group of motion being SO (3,2)] is possibly a better model for large-scale space-time.