Frequency peak/linear size − relation gives the strongest correlation among all the currently observable physical properties of Compact Steep Spectrum Sources (CSSs). This strong correlation suggests that the spectral turnover constitutes a characteristic signature of dense gases around the CSS sources which may be used to constrain physical mechanisms that govern the dynamical evolution of CSS sources. We have therefore, carried out statistical analyses to ascertain whether the observed − correlation is real or an artifact arising from a possible spectral turnover/radio luminosity (−) and/or linear size/radio luminosity − correlations. Our results show only a marginally significant − correlation (correlation coefficient, ≈ 0.3) and apparently little or no − correlation. This suggests that the mechanism for the spectral turnover lies mainly in the source size according to the relation, ~. , with correlation coefficient, ≈ −0.9.