Scavenger hunt: Selection of obscured active galactic nuclei combining multiband optical variability and colors

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Table 4.

Number of obscured AGN confirmed from each tested model, in each band.

spec-MIR LS	g	r	i	and (∩)	2 out of 3 bands	or (∪)
10/10	49	44	40	33 ( $34_{- 6}^{+ 7} %$ $Mathematical equation: $ 34^{+7}_{-6}\% $$ )	46 ( $48_{- 7}^{+ 8} %$ $Mathematical equation: $ 48^{+8}_{-7}\% $$ )	55 ( $57_{- 9}^{+ 10} %$ $Mathematical equation: $ 57^{+10}_{-9}\% $$ )
8/10	51	46	43	36 ( $38_{- 6}^{+ 7} %$ $Mathematical equation: $ 38^{+7}_{-6}\% $$ )	48 ( $50_{- 8}^{+ 8} %$ $Mathematical equation: $ 50^{+8}_{-8}\% $$ )	57 ( $59_{- 8}^{+ 9} %$ $Mathematical equation: $ 59^{+9}_{-8}\% $$ )
6/10	51	47	44	36 ( $38_{- 6}^{+ 7} %$ $Mathematical equation: $ 38^{+7}_{-6}\% $$ )	49 ( $51_{- 7}^{+ 8} %$ $Mathematical equation: $ 51^{+8}_{-7}\% $$ )	59 ( $61_{- 8}^{+ 9} %$ $Mathematical equation: $ 61^{+9}_{-8}\% $$ )

main LS
10/10	65	62	59	49 ( $51_{- 7}^{+ 8} %$ $Mathematical equation: $ 51^{+8}_{-7}\% $$ )	61 ( $64_{- 8}^{+ 9} %$ $Mathematical equation: $ 64^{+9}_{-8}\% $$ )	80 ( $83_{- 9}^{+ 10} %$ $Mathematical equation: $ 83^{+10}_{-9}\% $$ )
8/10	68	65	65	56 ( $58_{- 8}^{+ 9} %$ $Mathematical equation: $ 58^{+9}_{-8}\% $$ )	66 ( $69_{- 8}^{+ 10} %$ $Mathematical equation: $ 69^{+10}_{-8}\% $$ )	79 ( $82_{- 9}^{+ 10} %$ $Mathematical equation: $ 82^{+10}_{-9}\% $$ )
6/10	71	67	68	60 ( $62_{- 8}^{+ 9} %$ $Mathematical equation: $ 62^{+9}_{-8}\% $$ )	68 ( $71_{- 9}^{+ 10} %$ $Mathematical equation: $ 71^{+10}_{-9}\% $$ )	79 ( $82_{- 9}^{+ 10} %$ $Mathematical equation: $ 82^{+10}_{-9}\% $$ )

main LS,
obscured AGN-focused
10/10	69	69	78	60 ( $62_{- 8}^{+ 9} %$ $Mathematical equation: $ 62^{+9}_{-8}\% $$ )	74 ( $77_{- 9}^{+ 10} %$ $Mathematical equation: $ 77^{+10}_{-9}\% $$ )	89 ( $93_{- 10}^{+ 11} %$ $Mathematical equation: $ 93^{+11}_{-10}\% $$ )
8/10	74	72	81	66 ( $69_{- 8}^{+ 10} %$ $Mathematical equation: $ 69^{+10}_{-8}\% $$ )	77 ( $80_{- 9}^{+ 10} %$ $Mathematical equation: $ 80^{+10}_{-9}\% $$ )	88 ( $92_{- 10}^{+ 11} %$ $Mathematical equation: $ 92^{+11}_{-10}\% $$ )
6/10	79	76	81	72 ( $75_{- 9}^{+ 10} %$ $Mathematical equation: $ 75^{+10}_{-9}\% $$ )	79 ( $82_{- 9}^{+ 10} %$ $Mathematical equation: $ 82^{+10}_{-9}\% $$ )	87 ( $91_{- 10}^{+ 11} %$ $Mathematical equation: $ 91^{+11}_{-10}\% $$ )

Notes. The top section refers to tests using the spec-MIR LS, i.e., not including AGN confirmed only via their X-ray properties. The middle section refers to tests using the main LS, which includes these AGN. The bottom section refers to additional tests discussed later in this section, where we used the main LS and a specific selection of features for each band, aimed at optimizing the selection of obscured AGN. The various columns indicate: the adopted threshold (1); the three bands (2–4), where the final number for each model tested was obtained combining the outcomes of the ten independent experiments, according to the threshold indicated by each line; the intersection of the results (5), i.e., the number (and percentage) of obscured AGN confirmed in all three bands; the number (and percentage) of obscured AGN confirmed in two out of three bands; and the union of the results (6), i.e., the number (and percentage) of sources classified as obscured AGN in at least one band. Error bars on the reported percentages were estimated following the approach of Gehrels et al. (2015), who provided approximate formulae for 95% confidence intervals under the assumptions of Poisson and binomial statistics. Percentages were computed with respect to the total number of obscured AGN, these being 96.

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