Orientational order parameters ⟨P4⟩, ⟨P6⟩ and ⟨P8⟩, as calculated from our X-ray diffraction studies with aligned nematic samples, have been compared with the predictions of Faber's continuum and Maier-Saupe mean-field theories. In contradiction to our previous finding regarding ⟨P2⟩ and ⟨P4⟩, the agreement with Faber's theory is not good. However, experimental inaccuracies and truncation errors during calculations preclude any definite conclusion on this matter.