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The large angular scale anisotropy of the cosmic microwave background can often be parameterized by a spectral index, $n$, and a quadrupolar amplitude, $Q$. Applying a new statistical measure to data from the Far Infra-Red Survey (FIRS), we form a contour plot of the likelihood for cosmological models with $-1 < n < 3$ and $0 \le Q \le 50~\mu{\rm K}$. We find that the likelihood is maximum at $(n, Q) = (1.0,19\mu\mbox{K})$. For $n = 1$ the likelihood falls to half its maximum at $Q \approx 14\mu\mbox{K}$ and $25\mu\mbox{K}$ and for $Q = 19\mu$K the likelihood falls to half its maximum at $n \approx 0.5$ and $1.4$.