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Home All issues Volume 506 / No 1 (October IV 2009) A&A, 506 1 (2009) 15-32 Full HTML
 

 

Table 3:

Top: model odds ratio $O_{M_{\rm A},M_{\rm B}}$ for scenario 1 to 5 (which include l=2 modes). Bottom: odds ratio for scenario 6, comparing 4 models (identifications A and B, with or without l=2).
Scenario $O_{M_{\rm A},M_{\rm B}}$
1 $2 \times 10^{48}$
2 $7 \times 10^{26}$
3 $1.5 \times 10^4$
4 7.209
5 1.578

Scenario 6
$M^l_k \backslash M^{l'}_{k'}$ $M^1_{\rm A}$ $M^1_{\rm B}$ $M^2_{\rm A}$ $M^2_{\rm B}$ $P_{\rm R}(M^l_k\vert y,I)$
$M^1_{\rm A}$ 1 4.6104 92.6707 2.9385 $64 \%$
$M^1_{\rm B}$ 0.2169 1 20.1003 0.6374 $13\%$
$M^2_{\rm A}$ 0.0317 0.0495 1 0.0108 $1\%$
$M^2_{\rm B}$ 0.3403 1.5690 31.5373 1 $22\%$
The identification is indicated as the subscript of the model, the highest l modes as the exponent. Scenario 6 does not include l=2 modes and thus the correct model is $M^1_{\rm A}$. The values of the matrix represent the odds ratio. Note the correct model only reaches a probability of 64%.

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