This paper deals with the influence of thermal anisotropy on least‐squares estimates of interplanetary shock parameters and the associated normals by using the Rankine‐Hugoniot equations and presents a practical theorem for quantitatively correcting for anisotropic effects by weighting the before and after magnetic fields by the same ‘anisotropy parameter’ h. The quantity h depends only on the thermal anisotropies before and after the shock and on the angles between the magnetic fields and the shock normal. It is shown that, for fast shocks and for a liberal range of realistic conditions, the quantity h lies in the range 0.90 < h < 1.22. The theorem can also be applied to most slow shocks, but in those instances h usually should be lower and sometimes markedly lower than unity. The previously studied fast shock of January 26, 1968, from plasma and magnetic‐field measurements made on Explorer 33 and 35, is re‐examined in light of this field‐weighting theorem. Even for the extreme values of h given above, little change results in the shock parameters or in the shock normal, which over the full range of h is estimated to deflect by only 1.7° for Explorer 33 and 2.0° for Explorer 35. In no instance of the recalculated normal did it deflect more than 1.5° from the h = 1 normal for either spacecraft. These deflections are well within the (95% certainty) error cone angle, which was 7.6° for this situation.