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Table 2 Log-linear analyses incorporating variables of potential heterogeneous catchability

From: A three-source capture-recapture estimate of the number of new HIV diagnoses in children in France from 2003–2006 with multiple imputation of a variable of heterogeneous catchability

Log-linear models n ^ N ^ 95% CI ( N ^ ) df G2 p AIC DIC
Model 1: DO*EPF, LABO*EPF, EPF*place 154 370 270 469 100 145,75 0,00 −54,25 −142,31
Model 2: DO*EPF, LABO*EPF, EPF*region 154 370 270 469 100 133,74 0,01 −66,26 −154,32
Model 3: DO*EPF, LABO*EPF, EPF*année, Labo*année 154 370 270 469 95 141,78 0,00 −48,22 −131,88
Model 4: DO*EPF, LABO*EPF, EPF*place, EPF*region, DO*region 147 363 266 460 97 125,12 0,03 −68,88 −154,30
Model 5: DO*EPF, LABO*EPF, EPF*place, EPF*year 131 347 260 434 94 132,81 0,00 −55,19 −137,96
Model 6: DO*EPF, LABO*EPF, EPF*region, DO*region, EPF*year 141 357 261 452 96 121,31 0,02 −64,69 −146,59
Model 7: DO*EPF, LABO*EPF, DO*place, EPF*place, DO*region, Labo*region, EPF*region, EPF*year 171 387 271 503 93 112,72 0,07 −73,28 −155,17
Model 8: DO*EPF, LABO*EPF, DO*place, EPF*place, DO*region, Labo*region, EPF*region 171 387 271 503 96 112,48 0,05 −73,52 −158,06
  1. DO: Mandatory HIV case reporting; EPF: ANRS French Perinatal Cohort; Labo: Laboratory surveillance of HIV testing activity.
  2. n ^ : Estimate of the number of diagnoses not reported to any source; N ^ : Estimate of the number of diagnoses; 95% CI: 95% confidence interval for N ^ ; df: number of degrees of freedom; G2: deviance statistic; p: p-value of the deviance goodness-of-fit test; AIC: Akaike Information Criterion; DIC: Draper Information Criterion
  3. Place: place of birth; region: region of diagnosis; year: year of diagnosis.