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Table 2 Estimated underreporting parameters and impact of the considered covariates (\({\beta }_{1}\) and \({\beta }_{2}\) are the coefficients for confinement and vaccination respectively) for each Spanish CCAA. Reported values correspond to the median and percentiles 25% and 75% of the corresponding posterior distribution

From: Estimated Covid-19 burden in Spain: ARCH underreported non-stationary time series

CCAA

Parameter

Estimate (P25-P75)

Andalucía

\(\omega\)

0.97 (0.95—0.99)

\(q\)

0.44 (0.41—0.48)

\({\beta }_{1}\)

-1.67 (-2.31, -0.39)

\({\beta }_{2}\)

-1.71 (-2.66, -0.68)

Aragón

\(\omega\)

0.98 (0.97—0.99)

\(q\)

0.28 (0.27—0.32)

\({\beta }_{1}\)

0.76 (0.17, 1.43)

\({\beta }_{2}\)

-1.06 (-1.36, -0.69)

Asturies

\(\omega\)

0.97 (0.90—0.99)

\(q\)

0.40 (0.37—0.53)

\({\beta }_{1}\)

0.44 (0.11, 0.69)

\({\beta }_{2}\)

-0.90 (-1.77, -0.63)

Cantabria

\(\omega\)

0.97 (0.95—0.99)

\(q\)

0.30 (0.28—0.35)

\({\beta }_{1}\)

-0.44 (-0.71, 0.002)

\({\beta }_{2}\)

-0.53 (-1.29, -0.25)

Castilla y León

\(\omega\)

0.98 (0.95—0.99)

\(q\)

0.36 (0.32—0.41)

\({\beta }_{1}\)

-0.84 (-1.33, -0.23)

\({\beta }_{2}\)

-1.22 (-1.88, -0.60)

Castilla – La Mancha

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.33 (0.31—0.36)

\({\beta }_{1}\)

0.06 (-0.18, 0.44)

\({\beta }_{2}\)

-0.80 (-1.11, -0.40)

Canarias

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.35 (0.32—0.38)

\({\beta }_{1}\)

-0.92 (-2.06, -0.29)

\({\beta }_{2}\)

-1.34 (-1.78, -1.06)

Catalunya

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.30 (0.27—0.34)

\({\beta }_{1}\)

-0.25 (-0.52, 0.21)

\({\beta }_{2}\)

-1.51 (-1.97, -0.94)

Ceuta

\(\omega\)

0.98 (0.95—0.99)

\(q\)

0.28 (0.25—0.31)

\({\beta }_{1}\)

0.007 (-0.52, 0.34)

\({\beta }_{2}\)

-1.38 (-1.93, -0.84)

Extremadura

\(\omega\)

0.98 (0.95—1.00)

\(q\)

0.40 (0.36—0.44)

\({\beta }_{1}\)

1.45 (1.24, 1.83)

\({\beta }_{2}\)

-0.72 (-1.30, -0.37)

Galiza

\(\omega\)

0.84 (0.33—0.98)

\(q\)

0.41 (0.35—0.56)

\({\beta }_{1}\)

-0.20 (-0.53, 0.18)

\({\beta }_{2}\)

-2.03 (-3.07, -1.34)

Illes Balears

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.36 (0.33—0.39)

\({\beta }_{1}\)

0.74 (0.43, 1.01)

\({\beta }_{2}\)

-0.72 (-1.16, -0.34)

Región de Murcia

\(\omega\)

0.93 (0.45—0.98)

\(q\)

0.46 (0.34—0.80)

\({\beta }_{1}\)

0.62 (-0.02, 1.36)

\({\beta }_{2}\)

-1.97 (-3.07, -0.59)

Madrid

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.37 (0.34—0.40)

\({\beta }_{1}\)

0.35 (-0.39, 0.59)

\({\beta }_{2}\)

-0.35 (-0.77, -0.07)

Nafarroa

\(\omega\)

0.99 (0.97—1.00)

\(q\)

0.30 (0.26—0.32)

\({\beta }_{1}\)

-1.71 (-1.92, -0.53)

\({\beta }_{2}\)

-2.05 (-3.20, -1.33)

Euskadi

\(\omega\)

0.99 (0.97—0.99)

\(q\)

0.27 (0.25—0.31)

\({\beta }_{1}\)

-0.42 (-0.69, -0.21)

\({\beta }_{2}\)

-0.10 (-0.24, 0.00)

La rioja

\(\omega\)

0.98 (0.96—0.99)

\(q\)

0.31 (0.28—0.35)

\({\beta }_{1}\)

-0.83 (-1.08, -0.35)

\({\beta }_{2}\)

-0.43 (-0.71, -0.22)

Melilla

\(\omega\)

0.97 (0.95—0.99)

\(q\)

0.34 (0.31—0.37)

\({\beta }_{1}\)

-0.48 (-0.82, -0.11)

\({\beta }_{2}\)

-1.59 (-2.05, -0.93)

País Valencià

\(\omega\)

0.95 (0.40—0.98)

\(q\)

0.46 (0.40—0.67)

\({\beta }_{1}\)

1.45 (1.24, 1.83)

\({\beta }_{2}\)

-1.70 (-2.64, -0.52)