Validating ICD-10 Diagnosis Codes for Guillain-Barré Syndrome in Taiwan’s National Health Insurance Claims Database

Introduction

Guillain-Barré syndrome (GBS) is a rare, immune-mediated illness causing inflammation of peripheral nerves and nerve roots with a diverse range of clinical manifestations.1 Its classical clinical presentations include acute progressive muscle weakness starting from the bilateral lower limbs and spreading upwards, as well as absent deep tendon reflexes, cranial nerve palsies, or even respiratory failure leading to death.1–3 Miller Fisher syndrome (MFS) is a well-known variant syndrome of GBS that typically presents as ophthalmoplegia, ataxia and areflexia.1,4 Overall, GBS is the leading cause of acute flaccid paralysis worldwide, with an estimated global incidence of 1 to 2 per 100,000 person-years.1,5–7 Though the specific cause of GBS is still uncertain, evidence suggests that a process potentially triggered by molecular mimicry of an antecedent infection or vaccine exposure is responsible for the development of autoimmune antibodies and the activation of inflammatory cells targeting peripheral nerves and nerve roots.1,2

Given the rare but potentially fatal nature of GBS, and its potential association with vaccination, active nationwide surveillance programs for vaccine safety usually need to include GBS when monitoring the incidence rates of severe adverse events as compared to the background rate.8–13 Administrative claims databases, such as Taiwan’s National Health Insurance Research Database (NHIRD), contain comprehensive population-level health outcomes14,15 and are therefore suitable as resources for both timely disease surveillance6 and outcome studies of GBS.16,17 In a claims database, GBS is usually identified with diagnosis codes; however, because these diagnosis codes are primarily used by healthcare providers for insurance reimbursement, their validity and hence suitability for research purposes are not guaranteed. In prior validation studies focusing on nationwide claims databases, the positive predictive value (PPV) of diagnosis codes for GBS ranged from 45.3% in the United States,18 75.0% in Korea,5 and 83.8% in Denmark,7 to 92.5% in Canada,19 while the PPV for Taiwan’s NHIRD has not yet been determined.

We therefore conducted the present study to validate the International Classification of Diseases, 10th Revision (ICD-10) codes for GBS in Taiwan’s National Health Insurance (NHI) claims database, by using electronic medical records to verify the diagnoses.

Materials and Methods Study Setting and Ethics

The Chang Gung Medical Foundation (CGMF), founded in 1976, is the largest healthcare group in Taiwan. Our study setting encompassed all eight CGMF branch hospitals (Keelung, Linkou, Taipei, Taoyuan, Kaohsiung, Chiayi, Yunlin and Fengshan), located across the northeastern, northwestern, central, and southern regions of Taiwan. All CGMF branch hospitals have contracted with Taiwan’s NHI, and their accreditation levels include academic medical centers, regional teaching hospitals, and district community hospitals. The CGMF branch hospitals have a total of more than 10,000 beds and serve 280,000 hospitalized patients annually, covering around 12% of the entire Taiwanese population.20–22 Therefore, our study setting may be considered sufficiently representative of all hospitals in Taiwan’s NHIRD. The same setting has previously been used to validate ICD-10 codes for several other critical conditions or diseases.23–27

The protocol used in the current study adhered to the principles outlined in the Declaration of Helsinki and has been approved by the Institutional Review Board of the CGMF (IRB NO: 202200878B0). Because of its retrospective design, informed consent was not required.

Data Sources

Both the NHI claims data and electronic medical records data from the CGMF hospitals were utilized in this study. To protect patient confidentiality, the study data were stored in a secure system with restricted access granted only to authorized personnel. The hospitalization claims data reported to Taiwan’s NHI Administration was extracted from the hospital information system. Consistent with the inpatient dataset of the NHIRD, a patient can have up to five discharge diagnoses documented for each hospitalization episode.14 We identified adult patients who were hospitalized at any of the CGMF branch hospitals between January 1st, 2017, and December 31st, 2022, and who were subsequently discharged with an ICD-10 code of G61.0 in any of the five positions for recording discharge diagnosis, indicating possible Guillain-Barré syndrome. The hospital admission date was defined as the index date. We excluded patients whose medical records were unavailable or whose diagnostic work-up was incomplete due to premature discharge. For patients with multiple hospitalization records including a GBS discharge diagnosis during the study period, only the initial hospital stay was included in the analysis.

Ascertainment of Guillain-Barré Syndrome

Information from the electronic medical records was utilized to validate the identified patients’ suspected GBS. In the first step, a manual review of all medical records was conducted by one specialist physician (SCL) to determine whether the patients could be confirmed as true GBS patients. After the initial review, inconclusive cases were reviewed again in conjunction with a senior neurologist (CYH) for final case ascertainment. Patients were classified as either GBS or non-GBS based on the diagnostic criteria established by the NINDS (National Institute of Neurological Disorders and Stroke), using a combination of clinical features, cerebrospinal fluid (CSF) findings, and nerve conduction studies (NCS) to make the judgment28 (Supplementary Table 1). The MFS was also included. Subsequently, we classified all GBS patients based on the Brighton criteria.29 We applied the Brighton criteria (www.brightoncollaboration.org) in order to increase the level of diagnostic certainty (graded 1–4) (Supplementary Table 1) and to ensure comparability with prior GBS studies.3,4,7,13,30,31

Variables

We collected demographic and general clinical variables from the medical records. Seasonality was defined by the month of hospitalization as spring (March, April, May), summer (June, July, August), fall (September, October, November), and winter (December, January, February). We used the GBS disability score to assess the level of disability at admission from 0 (normal), 1 (minor symptoms and capable of running), 2 (able to walk 10 m or more without assistance but unable to run), 3 (able to walk 10 m across an open space with help), 4 (bedridden or chair bound), 5 (requiring assisted ventilation for at least part of the day), to 6 (death),32 and manually reviewed the results of NCS to group the patients into subtypes as per the criteria defined by Hadden et al.33 We also extracted data on CSF cell count and protein concentration, whereby we considered CSF protein concentration >45 mg/dL as elevated. We documented the specific treatment for GBS, such as plasma exchange, intravenous immunoglobulin, or intravenous immunoglobulin plus methylprednisolone. We also used the medical records to assess outcomes including ability to walk independently and all-cause death at 6 months from the index date. Patients were considered non-GBS if they were diagnosed with acute-onset chronic inflammatory demyelinating polyneuropathy or other diseases during this 6-month follow-up period.

Statistical Analyses

We presented descriptive statistics using either mean with standard deviation (SD) or number (N) with percentage (%), as appropriate. The PPV was calculated as the number of true GBS patients divided by the total number of patients suspected to have GBS based on the ICD-10 code, and the 95% confidence interval (CI) for the PPV was estimated using the Clopper-Pearson exact method.34 We determined the PPV of various operational definitions, including whether the diagnosis was recorded in the primary or other position of the discharge diagnosis, as well as claims for NCS and / or specific treatments for GBS. We further compared the position of the ICD-10 GBS code in the discharge diagnoses and the Brighton levels of diagnostic certainty. The data was analyzed using SAS 9.4 for Windows (SAS Institute, Inc., Cary, NC, USA).

Results

From the electronic claims data, we identified 491 inpatients in CGMF hospitals who were discharged with ICD-10 code of G61.0 for GBS in their discharge diagnoses between January 1st, 2017, and December 31st, 2022. Of these, we excluded three patients whose medical records were not readily available, two patients with duplicate records from different CGMF branch hospitals, and two patients prematurely discharged against medical advice (Figure 1). In the final validation cohort of 484 patients, a total of 368 patients were confirmed as true GBS patients. Of these true GBS patients, 43.8% met the Brighton criteria level 1, while 27.7%, 15.2% and 13.3% were classified as levels 2, 3 and 4, respectively. MFS accounted for 53 (14.4%) of the true GBS patients. Of the 116 non-GBS patients, the top four diagnoses [N (%)] were “polyneuropathy, other causes” [35 (30.2)], “autoimmune neurological disorders, other causes” [15 [12.9]], “radiculopathy, other causes” [12 (10.3)], and “psychiatric disorders” [10 (8.6)]. For further details, please see Supplementary Table 2.

Figure 1 Study flowchart to identify true Guillain-Barré syndrome (GBS) patients from the claims database validated with electronic medical records.

The demographics and general clinical characteristics of the 368 true GBS patients are presented in Table 1. The mean (SD) age was 47.1 (19.4) years old, and 162 (44.0%) of the true GBS patients were female. Their disease onset appeared to show seasonality and was most common in spring (29.3%), followed by winter (27.4%). At entry, 40.5% were unable to walk independently (ie, a Guillain-Barré syndrome disability score ≧ 3), and 41.8% had cranial nerve involvement. At disease nadir, 14.9% used a ventilator. Of these true GBS patients, 51.3% had an NCS finding classified as demyelinating, while 19.8% exhibited an abnormal NCS finding consistent with peripheral nerve (root) involvement, but did not meet the criteria for any of the defined subtypes (demyelinating, axonal, or unexcitable). The CSF cell count was <5/μL and CSF protein concentration was higher than 45 mg/dL in 248 (67.4%) and 229 (62.2%) of these patients, respectively. More than half (53.8%) of them received plasma exchange, while about a quarter (25.3%) received intravenous immunoglobulin during hospitalization. At the 6-month follow-up, about two-thirds of the patients could walk without assistance, but 2.2% died.

Table 1 Baseline Characteristics, Treatments, and Outcomes of Patients with Confirmed Guillain-Barré Syndrome (N = 368)

Table 2 shows the PPV of various operational definitions for GBS, based on the data in the claims database. Using only an inpatient claim with the ICD-10 code for GBS in any of the five positions of the discharge diagnosis produced a PPV of 76.0% (definition #1). As the definitions became more restrictive (primary position diagnosis only, or adding claims for NCS and/or treatments), the PPV tended to improve, but at the expense of a lower number of the true GBS patients identified. For example, the definition using the ICD-10 code for GBS in the primary position plus claims for NCS and treatment (definition #16) resulted in the highest PPV (98.3%). However, under such a restrictive definition, 140 (38.0%) of the true GBS patients were not identified. By contrast, a definition using the ICD-10 code for GBS in any position of the discharge diagnosis plus claims for NCS (definition #5) achieved a relatively high PPV (85.8%) with a minimal loss of true GBS patients (3.5%).

Table 2 Positive Predictive Value of Various Operational Definitions of Guillain-Barré Syndrome in the Claims Database (N = 484)

As shown in Table 3, among the true GBS patients, more than 90% of the Brighton level 1 GBS patients (highest level of certainty) were discharged with the ICD-10 GBS code in the primary position. As the level of diagnostic certainty decreased (Brighton levels 2–4), the ICD-10 code was more likely to be found in the secondary, tertiary, or other positions of the discharge diagnosis.

Table 3 Distributions of Guillain-Barré Syndrome Diagnosis Code Position and Brighton Levels of Diagnostic Certainty

Discussion

In this validation study using medical records from the largest healthcare group in Taiwan, we found that the presence of the ICD-10 code for GBS at any position of the discharge diagnosis carried a PPV of 76.0% (95% CI: 76.3–83.6%). The PPV increased by about 10–20% when the code position was restricted to the primary diagnosis column, or if a combination with diagnostic procedure and / or treatment specific to GBS was required. Requiring a combination of primary diagnosis position with NCS and treatment for GBS achieved a nearly perfect PPV, but at the expense of missing about two fifths of the true GBS patients.

Comparison with the Literature

In the current study, our PPV results from various permutations of the GBS definition (76.0% to 98.3%) are comparable to those found in other claims databases of different countries; as such, it is likely that the PPV in those databases also increases when additional definitions and restrictions are applied. For example, in a Korean study,5 the PPV was only 35% when combining outpatient and inpatient claims, but increased to 75% when restricted to inpatient claims only, and even to 85% when restricted to inpatient claims plus specific department data (eg, neurology). When such a definition (inpatient claims plus specific departments) was applied to the national claims database of Denmark, the PPV was 83.8%.7 In a recent validation study of the US Medicare database,18 the presence of the ICD-10 GBS code in any position and in the primary position of the discharge diagnosis yielded a PPV of 45.3% (95% CI: 34.8–55.9%) and 79.5% (95% CI: 67.6–91.5%), respectively. The PPV increased to 81.6% (95% CI: 69.3–93.9%) when claims for a diagnostic procedure within 45 days of admission were added though the 95% confidence interval was wide and overlapping because of the smaller sample size (40 true GBS patients). In a Canadian study,19 the ICD-10 code for GBS had a PPV of 92.5% when the reference standard was physician diagnosis. However, it deteriorated to 68.0% when the reference standard was changed to clinical criteria.

Notably, the mortality rate at 6 months was 2.2%, which might be lower than the 3% to 10% range found in the literature.1,2 However, the proportion of being able to walk independently was 67.7%, which was lower than the range of 77% to 82% reported.1,3 The exact cause of such a lower mortality rate, but poorer recovery of walking ability in our GBS patients is unclear. It may warrant further research.

Strengths

One of the strengths of our present study was that it used a validation sample (N = 484) from the largest and most representative healthcare group in Taiwan. The true GBS patients (368 of the 484) mostly underwent complete diagnostic studies, (NCS and lumbar puncture), and had a wide range of clinical severities, treatments, and clinical outcomes. Notably, GBS is a heterogeneous disorder, and no accurate biomarkers have been identified yet. The Brighton criteria were proposed to help establish consistent and high-quality case definitions for assessing vaccine safety internationally. The criteria define GBS certainty from level 1 (highest level of diagnostic certainty) to level 4 (reported as GBS, possibly due to insufficient data for further classification, or “physician diagnosis of GBS”). A novel finding of our study was that as the diagnostic certainty decreased, the entry position of the diagnosis code for GBS in the discharge diagnosis tended to move to lower-ranking position after the primary position (Table 3). It appears that our hospital coders, to some extent, follow the diagnostic confidence of the attending physicians, when manually coding the discharge diagnosis claims. While 49 (13.3%) of the patients in the current study were classified as Brighton level 4 due to incompleteness of required diagnostic work-ups, this number is comparable to the 6% to 22% found for level 4 GBS patients who participated in randomized clinical trials or therapeutic pilot studies involving the Brighton criteria.3 To improve the sensitivity when the goal is to identify as many true positive GBS patients as possible in a real-world setting with limited resources, it may be desirable to include the Brighton level 4 patients, as seen in prior vaccine safety outcome studies.13,30,31

Implications for Future Researchers

For future researchers using Taiwan’s NHIRD or another claims database to study GBS, our study results may have the following implications. Based on the PPVs and the numbers of GBS patients identified through the 16 operational definitions, researchers can select the most appropriate one for their study purposes. For example, if the occurrence of GBS is the outcome, they may choose definition #5 (any of the five discharge diagnosis positions plus NCS), given its relatively high PPV (85.7%), as well as the high number of true GBS patients identified (355 out of 368 true GBS patients). By contrast, if the researchers intend to conduct a cohort study and GBS patients are the study subject, they may choose the stricter definitions (definitions #9 to #16) given that they yield the highest PPVs (all >95%). Finally, for studies comparing observed incidence versus background incidence (ie, vaccine safety studies), researchers may choose the strictest definition (#16) for the main analysis and the other 15 definitions for sensitivity analyses to test the robustness of their findings.

Limitations

Our study has some limitations. First, because the target population was those identified from the claims database in the first step, we could not determine the sensitivity, specificity and negative predictive value of the ICD-10 diagnosis code for GBS in our claims database. This is only achievable if the starting point of a study is to identify patients from the medical records. However, given the rarity of GBS, it would not be pragmatic to review all the medical records during the study period to identify the GBS patients without using the ICD-10 diagnosis code. Second, we did not determine the PPV resulting from a combination of diagnosis code and admission to a specific department (eg, neurology department), as was done in the prior studies.5,7

Conclusion

The PPV of the ICD-10 code for GBS in Taiwan’s NHI claims data was high and comparable to that in other similar national claims databases worldwide. Our validation results based on a range of different operational definitions for GBS in the claims data may be useful for researchers to conduct future GBS research using Taiwan’s NHIRD, or other claims databases.

Acknowledgments

This study is based in part on data from the Chang Gung Research Database maintained by Chang Gung Medical Foundation. The interpretation and conclusions contained herein do not represent the position of Chang Gung Medical Foundation. Drs. Cheng-Yang Hsieh and Po-Ting Chen contributed equally to this work and share first authorship.

Funding

This research was partly supported by the Tainan Sin Lau Hospital [grant number SLH-112-01]. The research funder had no role in the design and conduct of the study, interpretation of the data, or decision to submit for publication.

Disclosure

The authors report no conflicts of interest.

References

1. Shahrizaila N, Lehmann HC, Kuwabara S. Guillain-barré syndrome. Lancet. 2021;397(10280):1214–1228. doi:10.1016/s0140-6736(21)00517-1

2. Leonhard SE, Mandarakas MR, Gondim FAA, et al. Diagnosis and management of Guillain–Barré syndrome in ten steps. Nat Rev Neurol. 2019;15(11):671–683. doi:10.1038/s41582-019-0250-9

3. Fokke C, Berg van den B, Drenthen J, Walgaard C, Doorn van PA, Jacobs BC. Diagnosis of Guillain-Barré syndrome and validation of Brighton criteria. Brain. 2014;137(1):33–43. doi:10.1093/brain/awt285

4. Tan CY, Razali SNO, Goh KJ, Shahrizaila N. Determining the utility of the Guillain-Barré syndrome classification criteria. J Clin Neurol. 2021;17(2):273–282. doi:10.3988/jcn.2021.17.2.273

5. Yi SW, Lee JH, Hong JM, Choi YC, Park HJ. Incidence, disability, and mortality in patients with Guillain-Barré syndrome in Korea: a nationwide population-based study. J Clin Neurol. 2022;18(1):48–58. doi:10.3988/jcn.2022.18.1.48

6. Huang WC, Lu CL, Chen SCC. A 15-year nationwide epidemiological analysis of Guillain-Barré syndrome in Taiwan. Neuroepidemiology. 2015;44(4):249–254. doi:10.1159/000430917

7. Levison LS, Thomsen RW, Christensen DH, Mellemkjær T, Sindrup SH, Andersen H. Guillain-Barré syndrome in Denmark: validation of diagnostic codes and a population-based nationwide study of the incidence in a 30-year period. Clin Epidemiology. 2019;11:275–283. doi:10.2147/clep.s199839

8. Huang WT, Yang HW, Liao TL, et al. Safety of pandemic (H1N1) 2009 monovalent vaccines in Taiwan: a self-controlled case series study. PLoS One. 2013;8(3):e58827. doi:10.1371/journal.pone.0058827

9. Tsai SA, Lu CY, Chen TI, Huang SP, Chen YC. Adverse events from HPV vaccination in Taiwan. Vaccine. 2023;41(49):7444–7449. doi:10.1016/j.vaccine.2023.11.010

10. Jeong HS, Chun BC. COVID-19 vaccine safety: background incidence rates of anaphylaxis, myocarditis, pericarditis, Guillain-Barré syndrome, and mortality in South Korea using a nationwide population-based cohort study. PLoS One. 2024;19(2):e0297902. doi:10.1371/journal.pone.0297902

11. Hanson KE, Goddard K, Lewis N, et al. Incidence of Guillain-Barré syndrome after COVID-19 vaccination in the vaccine safety datalink. JAMA Network Open. 2022;5(4):e228879. doi:10.1001/jamanetworkopen.2022.8879

12. García‐Grimshaw M, Galnares‐Olalde JA, Bello‐Chavolla OY, et al. Incidence of Guillain–Barré syndrome following SARS-CoV −2 immunization: analysis of a nationwide registry of recipients of 81 million doses of seven vaccines. Eur J Neurol. 2022;29(11):3368–3379. doi:10.1111/ene.15504

13. Abara WE, Gee J, Marquez P, et al. Reports of Guillain-Barré syndrome after COVID-19 vaccination in the United States. JAMA Network Open. 2023;6(2):e2253845. doi:10.1001/jamanetworkopen.2022.53845

14. Hsieh CY, Su CC, Shao SC, et al. Taiwan’s National Health Insurance Research Database: past and future. Clin Epidemiology. 2019;11:349–358. doi:10.2147/clep.s196293

15. Sung SF, Hsieh CY, Hu YH. Two decades of research using Taiwan’s National Health Insurance claims data: bibliometric and text mining analysis on PubMed. J Méd Internet Res. 2020;22(6):e18457. doi:10.2196/18457

16. Chang KH, Lyu RK, Lin WT, Huang YT, Lin HS, Chang SH. Gulllain-Barre syndrome after trivalent influenza vaccination in adults. Front Neurol. 2019;10:768. doi:10.3389/fneur.2019.00768

17. Yen CC, Wei KC, Wang WH, Huang YT, Chang YC. Risk of Guillain-Barré syndrome among older adults receiving influenza vaccine in Taiwan. JAMA Network Open. 2022;5(9):e2232571. doi:10.1001/jamanetworkopen.2022.32571

18. Eiffert SR, Wright B, Nardin J, Howard JF, Traub R. Evaluating algorithms for identifying incident Guillain-Barré syndrome in medicare fee-for-service claims. Glob Epidemiology. 2024;7:100145. doi:10.1016/j.gloepi.2024.100145

19. Galanis E, Goshtasebi A, Hung YW, et al. Developing international classification of disease code definitions for the study of enteric infection sequelae in Canada. Can Commun Dis Rep. 2023;49(7/8):299–309. doi:10.14745/ccdr.v49i78a01

20. Tsai MS, Lin MH, Lee CP, et al. Chang Gung research database: a multi-institutional database consisting of original medical records. Biomed J. 2017;40(5):263–269. doi:10.1016/j.bj.2017.08.002

21. Shao S, Chan Y, Yang YK, et al. The Chang Gung research database—a multi‐institutional electronic medical records database for real‐world epidemiological studies in Taiwan. Pharmacoepidemiol Drug Saf. 2019;28(5):593–600. doi:10.1002/pds.4713

22. Shao S, Lai EC, Huang T, et al. The Chang Gung research database: multi-institutional real-world data source for traditional Chinese medicine in Taiwan. Pharmacoepidem Drug Safe. 2021;30(5):652–660. doi:10.1002/pds.5208

23. Liao SC, Shao SC, Lai ECC, Lin SJ, Huang WI, Hsieh CY. Positive predictive value of ICD-10 codes for cerebral venous sinus thrombosis in taiwan’s national health insurance claims database. Clin Epidemiology. 2022;14:1–7. doi:10.2147/clep.s335517

24. Wu LY, Shao SC, Liao SC. Positive predictive value of ICD-10-cm codes for myocarditis in claims data: a multi-institutional study in Taiwan. Clin Epidemiology. 2023;15:459–468. doi:10.2147/clep.s405660

25. Chang C, Liao SC, Shao SC. Positive predictive values of anaphylaxis diagnosis in claims data: a multi-institutional study in Taiwan. J Méd Syst. 2023;47(1):97. doi:10.1007/s10916-023-01989-2

26. Chiang MY, Shao SC, Liao SC. Validation of diagnostic codes to identify carbon monoxide poisoning in Taiwan’s claims data. Front Pharmacol. 2022;13:882632. doi:10.3389/fphar.2022.882632

27. Lu PT, Tsai TH, Lai CC, Chuang LH, Shao SC. Validation of diagnostic codes to identify glaucoma in taiwan’s claims data: a multi-institutional study. Clin Epidemiology. 2024;16:227–234. doi:10.2147/clep.s443872

28. Asbury AK, Cornblath DR. Assessment of current diagnostic criteria for Guillain‐Barré syndrome. Ann Neurol. 1990;27(S1):S21–S24. doi:10.1002/ana.410270707

29. Sejvar JJ, Kohl KS, Gidudu J, et al. Guillain–Barré syndrome and fisher syndrome: case definitions and guidelines for collection, analysis, and presentation of immunization safety data. Vaccine. 2011;29(3):599–612. doi:10.1016/j.vaccine.2010.06.003

30. Goud R, Lufkin B, Duffy J, et al. Risk of Guillain-Barré syndrome following recombinant zoster vaccine in medicare beneficiaries. JAMA Intern Med. 2021;181(12):1623–1630. doi:10.1001/jamainternmed.2021.6227

31. Kim C, Rhie S, Suh M, et al. Pandemic influenza a vaccination and incidence of Guillain–Barré syndrome in Korea. Vaccine. 2015;33(15):1815–1823. doi:10.1016/j.vaccine.2015.02.035

32. Hughes RAC, Newsom-Davis JM, Perkin GD, Pierce JM. Controlled trial of prednisolone in acute polyneuropathy. Lancet. 1978;312(8093):750–753. doi:10.1016/s0140-6736(78)92644-2

33. Hadden RDM, Cornblath DR, Hughes RAC, et al. Electrophysiological classification of Guillain‐Barré syndrome: clinical associations and outcome. Ann Neurol. 1998;44(5):780–788. doi:10.1002/ana.410440512

34. Vollset SE. Confidence intervals for a binomial proportion. Stat Med. 1993;12(9):809–824. doi:10.1002/sim.4780120902

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