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Cosmic anisotropy produces an excess variance σₛky_²^ in the DELTAT maps produced by the Differential Microwave Radiometer (DMR) on CO8E that is over and above the instrument noise. After smoothing to an effective resolution of 10ᵈeg^, this excess, σₛky_ (10ᵈeg^), provides an estimate for the amplitude of the primordial density perturbation power spectrum with a cosmic uncertainty of only 12%. We employ detailed Monte Carlo techniques to express the amplitude derived from this statistic in terms of the universal rms quadrupole amplitude, ⁰. 5^. The effects of monopole and dipole subtraction and the non-Gaussian shape of the DMR beam cause the derived ⁰. 5^ to be 5%-10% larger than would be derived using simplified analytic approximations. We also investigate the properties of two other map statistics: the actual quadrupole and the Boughn-Cottingham statistic. Both the σₛky_ (10ᵈeg^) statistic and the Boughn-Cottingham statistic are consistent with the ⁰. 5^ = 17 +/- 5 microK reported by Smoot et al. (1992) and Wright et al. (1992).
Wright et al. (Sat,) studied this question.