| Literature DB >> 33152193 |
Edgar F Manrique-Hernández1, José Moreno-Montoya2, Alexandra Hurtado-Ortiz3, Franklyn E Prieto-Alvarado4, Álvaro J Idrovo5.
Abstract
Introduction: The COVID pandemic is a challenge for public health surveillance and an opportunity to assess its strengths and weaknesses to improve the response. Objective: To evaluate the performance of the Colombian public health surveillance system during the first 50 days of the COVID-19 pandemic in the country. Materials and methods: We analyzed the data published between March 6 and April 24, 2020, by the Instituto Nacional de Salud and the World Health Organization (WHO). We evaluated: i) the quality of the data according to the fulfillment of Benford’s law, and ii) the timeliness of the information measured as the difference in dates between the data generated by the Instituto Nacional de Salud and WHO’s situational reports. We assessed the fulfillment of Benford’s law using the p values of the log-likelihood ratio, the chi square or Moreno’s exact tests.Entities:
Keywords: coronavirus infections; epidemics; disease notification; epidemiological monitoring; statistical distributions; Colombia
Mesh:
Year: 2020 PMID: 33152193 PMCID: PMC7676837 DOI: 10.7705/biomedica.5582
Source DB: PubMed Journal: Biomedica ISSN: 0120-4157 Impact factor: 0.935
Cumplimiento de la ley de Benford de cada uno de los reportes de número de casos de COVID-19 en Colombia (casos acumulados)
| Reporte (n) | Fecha | Casos acumulados | Primeros dígitos | Exacta de Moreno | Razón del logaritmo de la verosimilitud | χ2 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||||||
| 1 | 06/03/2020 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0,3010 | ||
| 2 | 07/03/2020 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0,0906 | ||
| 3 | 08/03/2020 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0,0272 | ||
| 4 | 09/03/2020 | 3 | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0,0136 | ||
| 5 | 10/03/2020 | 3 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0,0042 | ||
| 6 | 11/03/2020 | 9 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0,0011 | ||
| 7 | 12/03/2020 | 9 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0,0001 | ||
| 8 | 13/03/2020 | 16 | 4 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0,0001 | 0,0920 | 0,0936 |
| 9 | 14/03/2020 | 24 | 4 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0,0001 | 0,2121 | 0,2129 | |
| 10 | 15/03/2020 | 45 | 4 | 2 | 0 | 0 | 0 | 0 | 2 | 0,0001 | 0,3434 | 0,3544 | ||
| 11 | 16/03/2020 | 57 | 4 | 2 | 0 | 0 | 0 | 2 | 0,0001 | 0,4986 | 0,5055 | |||
| 12 | 17/03/2020 | 75 | 4 | 2 | 0 | 0 | 2 | 0,6284 | 0,6243 | |||||
| 13 | 18/03/2020 | 102 | 5 | 2 | 0 | 0 | 2 | 0,5890 | 0,6356 | |||||
| 14 | 19/03/2020 | 128 | 6 | 2 | 0 | 0 | 2 | 0,5232 | 0,6081 | |||||
| 15 | 20/03/2020 | 158 | 7 | 2 | 0 | 0 | 2 | 0,4413 | 0,5505 | |||||
| 16 | 21/03/2020 | 210 | 7 | 2 | 2 | 0 | 0 | 2 | 0,5710 | 0,6953 | ||||
| 17 | 22/03/2020 | 235 | 7 | 3 | 2 | 0 | 0 | 2 | 0,6058 | 0,7607 | ||||
| 18 | 23/03/2020 | 306 | 7 | 3 | 3 | 0 | 0 | 2 | 0,5775 | 0,7604 | ||||
| 19 | 24/03/2020 | 378 | 7 | 3 | 4 | 0 | 0 | 2 | 0,4891 | 0,6793 | ||||
| 20 | 25/03/2020 | 470 | 7 | 3 | 4 | 2 | 0 | 0 | 2 | 0,5422 | 0,7548 | |||
| 21 | 26/03/2020 | 491 | 7 | 3 | 4 | 3 | 0 | 0 | 2 | 0,4947 | 0,7261 | |||
| 22 | 27/03/2020 | 539 | 7 | 3 | 4 | 3 | 2 | 0 | 0 | 2 | 0,5255 | 0,7768 | ||
| 23 | 28/03/2020 | 608 | 7 | 3 | 4 | 3 | 2 | 0 | 2 | 0,8306 | 0,9140 | |||
| 24 | 29/03/2020 | 702 | 7 | 3 | 4 | 3 | 2 | 2 | 0 | 2 | 0,8156 | 0,9097 | ||
| 25 | 30/03/2020 | 798 | 7 | 3 | 4 | 3 | 2 | 3 | 0 | 2 | 0,6969 | 0,7875 | ||
| 26 | 31/03/2020 | 906 | 7 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5296 | 0,5611 | ||
| 27 | 01/04/2020 | 1.065 | 8 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5430 | 0,6018 | ||
| 28 | 02/04/2020 | 1.161 | 9 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5374 | 0,6214 | ||
| 29 | 03/04/2020 | 1.267 | 10 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5157 | 0,6219 | ||
| 30 | 04/04/2020 | 1.406 | 11 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4807 | 0,6050 | ||
| 31 | 05/04/2020 | 1.485 | 12 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4354 | 0,5727 | ||
| 32 | 06/04/2020 | 1.579 | 13 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,3833 | 0,5273 | ||
| 33 | 07/04/2020 | 1.780 | 14 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 0,3277 | 0,4714 | ||
| 34 | 08/04/2020 | 2.054 | 14 | 4 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4214 | 0,5809 | ||
| 35 | 09/04/2020 | 2.223 | 14 | 5 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4816 | 0,6589 | ||
| 36 | 10/04/2020 | 2.473 | 14 | 6 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5087 | 0,7036 | ||
| 37 | 11/04/2020 | 2.709 | 14 | 7 | 4 | 3 | 2 | 3 | 0 | 3 | 0,5065 | 0,7176 | ||
| 38 | 12/04/2020 | 2.776 | 14 | 8 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4801 | 0,7036 | ||
| 39 | 13/04/2020 | 2.852 | 14 | 9 | 4 | 3 | 2 | 3 | 0 | 3 | 0,4348 | 0,6634 | ||
| 40 | 14/04/2020 | 2.979 | 14 | 10 | 4 | 3 | 2 | 3 | 0 | 3 | 0,3763 | 0,5990 | ||
| 41 | 15/04/2020 | 3.105 | 14 | 10 | 5 | 3 | 2 | 3 | 0 | 3 | 0,3981 | 0,6410 | ||
| 42 | 16/04/2020 | 3.233 | 14 | 10 | 6 | 3 | 2 | 3 | 0 | 3 | 0,3875 | 0,6437 | ||
| 43 | 17/04/2020 | 3.439 | 14 | 10 | 7 | 3 | 2 | 3 | 0 | 3 | 0,3518 | 0,6098 | ||
| 44 | 18/04/2020 | 3.621 | 14 | 10 | 8 | 3 | 2 | 3 | 0 | 3 | 0,2995 | 0,5429 | ||
| 45 | 19/04/2020 | 3.792 | 14 | 10 | 9 | 3 | 2 | 3 | 0 | 3 | 0,2394 | 0,4499 | ||
| 46 | 20/04/2020 | 3.977 | 14 | 10 | 10 | 3 | 2 | 3 | 0 | 3 | 0,1798 | 0,3431 | ||
| 47 | 21/04/2020 | 4.149 | 14 | 10 | 10 | 4 | 2 | 3 | 0 | 3 | 0,2078 | 0,3993 | ||
| 48 | 22/04/2020 | 4.356 | 14 | 10 | 10 | 5 | 2 | 3 | 0 | 3 | 0,2107 | 0,4200 | ||
| 49 | 23/04/2020 | 4.561 | 14 | 10 | 10 | 6 | 2 | 3 | 0 | 3 | 0,1931 | 0,4038 | ||
| 50 | 24/04/2020 | 4.881 | 14 | 10 | 10 | 7 | 2 | 3 | 0 | 3 | 0,1622 | 0,3554 | ||
Cumplimiento de la ley de Benford en el día 50 de epidemia de COVID-19 en Colombia (casos acumulados)
| Primer dígito | Conteo | % | P |
|---|---|---|---|
| 1 | 14 | 28 | 0,8777 |
| 2 | 10 | 20 | 0,7095 |
| 3 | 10 | 20 | 0,1295 |
| 4 | 7 | 14 | 0,3322 |
| 5 | 2 | 4 | 0,4338 |
| 6 | 1 | 2 | 0,2592 |
| 7 | 3 | 6 | 0,7659 |
| 8 | 0 | 0 | 0,1838 |
| 9 | 3 | 6 | 0,4987 |
Figura 1Frecuencia de los primeros dígitos en la distribución de la ley de Benford reportados en el último día analizado
Figura 2Diferencia en los casos acumulados diarios de COVID-19 reportados en los portales del Instituto Nacional de Salud y la Organización Mundial de la Salud (6 de marzo y el 24 de abril de 2020).
Cumplimiento de la ley de Benford (valores de p en la prueba de razón del logaritmo de la verosimilitud) de la vigilancia en salud pública en Colombia durante las epidemias de influenza A(H1N1), Zika y COVID-19
| Casos | Influenza A(H1N1) 2009 | Virus Zika 2016 | Virus COVID-19 2020* |
|---|---|---|---|
| Confirmados (semanas) | 0,190 (25) | 0,068 (42) | 0,162 (50) |
| Sospechosos (semanas) | ND | 0,467 (41) | ND |
* Incluye solamente los primeros 50 días a partir del diagnóstico del primer caso en Colombia.