Table 2.

Normative scaling relationships between cerebellar volumes and aTBV

StructureAllometric scaling with aTBVMale offsetSex interactionR2
β1-coefficient (SE)p (for null coefficient = 1)β2-coefficient (SE)pβ3-coefficient (SE)p
TCbV0.60 (0.061)1.23E-090.017 (0.002)0.0020.66
    Hemispheres0.61 (0.062)5.04E-090.018 (0.006)0.0020.66
    Vermis0.56 (0.072)2.04E-080.35
    Flocculus0.39 (0.100)1.86E-080.032 (0.009)0.0010.38
    Anterior0.93 (0.166)0.6792.85 (1.340)0.036−0.47 (0.220)*0.0360.36
    Superior posterior0.53 (0.064)4.97E-110.015 (0.006)0.0120.58
    Inferior Posterior0.84 (0.079)0.0410.019 (0.007)0.0120.67
    Lobule III0.59 (0.121)0.00110.17
    Lobule IV0.61 (0.126)0.00240.17
    Lobule V0.72 (0.087)0.00170.38
    Lobule VI0.63 (0.086)2.99E-050.32
    Crus I0.66 (0.072)8.47E-060.43
    Crus II0.36 (0.091)1.18E-100.031 (0.008)2.79E-040.39
    Lobule VIIB0.59 (0.088)9.54E-060.022 (0.008)0.0060.51
    Lobule VIIIA0.73 (0.083)0.00160.021 (0.008)0.0080.61
    Lobule VIIIB0.90 (0.093)0.2740.017 (0.009)0.0420.62
    Lobule IX1.04 (0.118)0.7270.41
  • Bold entries highlight regions with statistically significant evidence against the null hypotheses of isometric scaling and/or equivalent intercepts/slopes between males and females.

  • *Coefficient measures the difference in scaling coefficient between males and females. Thus, anterior lobe volume scales isometrically with aTBV in females (coefficient = 0.93, no statistically significant difference from 1) but hypoallometrically with aTBV in males [coefficient = 0.46 (i.e., 0.93–0.47), significantly different from the female coefficient (p = 0.036) and from the isometric null coefficient of 1 (p = 0.002)].