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Bayesian Power Spectrum Analysis of the First‐Year Wilkinson Microwave Anisotropy Probe Data

  • Authors: I. J. O'Dwyer, H. K. Eriksen, B. D. Wandelt, J. B. Jewell, D. L. Larson, K. M. Górski, A. J. Banday, S. Levin, and P. B. Lilje

O'Dwyer et al. 2004 The Astrophysical Journal Letters 617 L99.

  • Provider: AAS Journals

Caption: Fig. 4.

Easy‐to‐use representation for evaluating theoretical models of the power spectrum at the lowest ﹩\ell ﹩. We plot the probability ﹩P( C^{\,\mathrm{theory}\,}_{\ell }< C_{\ell }) ﹩ against ﹩\ell ( \ell +1) C_{\ell }/ 2\pi ﹩ for the largest angular scales probed by WMAP. Theorists can evaluate the goodness of fit of their model ﹩C_{\ell }﹩ with the WMAP data by reading off the probability from this graph. If P is within 0.025 of 1 or 0, the model would be ruled out at the 5% level based on that ﹩\ell ﹩ alone. The vertical dotted line is the WMAP best‐fit theory assuming a constant scalar spectral index ﹩n_{s}﹩. The probability is ~90% that the actual theory ﹩C_{2}﹩ is smaller.

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