It has been discussed in various studies that two dimensional periodical arrays of SRRs with large array sizes have wider stop bandwidths and lower transmission magnitudes around their resonance frequencies as compared to the single SRR unit cell. In this paper, effects of array dimensions on the transmission characteristics of SRR arrays are investigated in more detail especially for small sized arrays in a comparative manner. For this purpose, various SRR arrays with small array sizes are fabricated and their transmission characteristics are measured by Agilent 8720D network analyzer. The measurement results are verified by the full-wave electromagnetic simulation results obtained from Ansoft's HFSS software. In conclusion, it is demonstrated that increasing array dimensions increases the depth of the transmission minimum and widens the stop bandwidth, as expected. Furthermore, interestingly observed that resonance frequency of the SRR array shifts either towards the lower frequencies or towards the higher frequencies depending upon the dimension at which the number of array elements is increased. This behavior is interpreted as a result of different coupling effects in two different dimensions due to the inherent asymmetry of the two-dimensional SRR arrays implemented in this study.