We account for experimental and observational uncertainties in likelihood analyses of cosmic microwave background ( CMB ) anisotropy data from the MAX 4 and MAX 5 experiments . These analyses use CMB anisotropy spectra predicted in open and spatially-flat \Lambda cold dark matter cosmogonies . Amongst the models considered , the combined MAX data set is most consistent with the CMB anisotropy shape in \Omega _ { 0 } \sim 0.1 - 0.2 open models and less so with that in old ( t _ { 0 } { } _ { \sim } ^ { > } 15 - 16 Gyr , i.e. , low h ) , high baryon density ( \Omega _ { B } { } _ { \sim } ^ { > } 0.0175 h ^ { -2 } ) , low density ( \Omega _ { 0 } \sim 0.2 - 0.4 ) , flat- \Lambda models . The MAX data alone do not rule out any of the models we consider at the 2 \sigma level . Model normalizations deduced from the combined MAX data are consistent with those drawn from the UCSB South Pole 1994 data , except for the flat bandpower model where MAX favours a higher normalization . The combined MAX data normalization for open models with \Omega _ { 0 } \sim 0.1 - 0.2 is higher than the upper 2 \sigma value of the DMR normalization . The combined MAX data normalization for old ( low h ) , high baryon density , low-density flat- \Lambda models is below the lower 2 \sigma value of the DMR normalization . Open models with \Omega _ { 0 } \sim 0.4 - 0.5 are not far from the shape most favoured by the MAX data , and for these models the MAX and DMR normalizations overlap . The MAX and DMR normalizations also overlap for \Omega _ { 0 } = 1 and some higher h , lower \Omega _ { B } , low-density flat- \Lambda models .