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Estimate of the validity of a new method for the isolation of rabies virus

Abstracts

OBJECTIVES: No population-based studies have been conducted to show the potential for the use of virological diagnosis of the rabies virus. The objective of the present study was to estimate accuracy parameters for the isolation of the rabies virus in McCoy cells as an alternative method and to compare this with the use of murine neuroblastoma (N2A) cells, which is considered to be a reference method. METHODS: An evaluation was performed on 120 bats collected at random in the Atlantic Forest of the State of São Paulo. The immunofluorescence reaction was utilized for the detection of the rabies virus isolated from the brain of these bats and the presence of the virus was tested in the two cell culture systems. Two data sets were constructed with the results and the analysis was performed using the computer methods for diagnosis tests (CMDT) software by means of the two-graph receiver operating characteristic (TG-ROC) technique to determine sensitivity and specificity parameters, as well as other indicators such as efficacy, positive predictive value, negative predictive value and likelihood ratio. RESULTS: N2A cells presented 90% sensitivity and specificity, while McCoy cells presented 95% sensitivity and specificity. These values were based on cut-off points optimized for each cell type. CONCLUSION: The study showed that McCoy cells allowed the obtaining of accuracy estimates that were better than for N2A. The McCoy cell method is therefore an effective method for the isolation of the rabies virus.

Rabies virus; Rabies; Chiroptera; Sensitivity and specificity; Predictive value


OBJETIVOS: Nenhum estudo de base populacional foi realizado para mostrar o uso potencial de diagnóstico virológico do vírus rábico. O estudo realizado teve por objetivo estimar parâmetros de acurácia para o isolamento de vírus rábico em célula McCoy, como um método alternativo, e comparar com o uso da célula N2A, considerada método de referência. MÉTODOS: Foi realizado um inquérito em 120 morcegos coletados aleatoriamente, na Mata Atlântica, no Estado de São Paulo. Utilizou-se a reação de imunofluorescência para a detecção do vírus rábico isolado no cérebro desses morcegos, avaliado nos dois sistemas de cultivos celulares. Dois bancos de dados foram formados com os resultados. A análise foi feita com o programa Computer Methods for Diagnosis Tests (CMDT), utilizando a técnica de two-graph-receiver operating characteristic (TG-ROC) para obter os parâmetros de sensibilidade e especificidade, além de outros indicadores, tais como eficácia, valor preditivo positivo, valor preditivo negativo e razão de verossimilhança. RESULTADOS: A célula N2A apresentou 90% de sensibilidade e especificidade, enquanto que a célula McCoy obteve 95% para os mesmos parâmetros. Os valores foram baseados em pontos de cortes otimizados para cada uma das células. CONCLUSÕES: Observou-se que a célula McCoy permite obter estimativas de acurácia superiores aos resultados observados com a célula de N2A, representando um método alternativo eficaz no isolamento do vírus rábico.

Vírus da raiva; Raiva; Quirópteros; Sensibilidade e especificidade; Valor preditivo


ORIGINAL ARTICLES

Estimate of the validity of a new method for the isolation of rabies virus

Yeda L Nogueira

Serviço de Virologia do Instituto Adolfo Lutz. São Paulo, SP, Brasil

Correspondence Correspondence to Yeda L Nogueira Departamento de Epidemiologia Faculdade de Saúde Pública - USP Av. Doutor Arnaldo, 715 01246 904 São Paulo, SP, Brasil E-mail: ynogueir@usp.br

ABSTRACT

OBJECTIVE: No population-based studies have been conducted to show the potential for the use of virological diagnosis of the rabies virus. The objective of the present study was to estimate accuracy parameters for the isolation of the rabies virus in McCoy cells as an alternative method and to compare this with the use of murine neuroblastoma (N2A) cells, which is considered to be a reference method.

METHODS: An evaluation was performed on 120 bats collected at random in the Atlantic Forest of the State of São Paulo. The immunofluorescence reaction was utilized for the detection of the rabies virus isolated from the brain of these bats and the presence of the virus was tested in the two cell culture systems. Two data sets were constructed with the results and the analysis was performed using the computer methods for diagnosis tests (CMDT) software by means of the two-graph receiver operating characteristic (TG-ROC) technique to determine sensitivity and specificity parameters, as well as other indicators such as efficacy, positive predictive value, negative predictive value and likelihood ratio.

RESULTS: N2A cells presented 90% sensitivity and specificity, while McCoy cells presented 95% sensitivity and specificity. These values were based on cut-off points optimized for each cell type.

CONCLUSIONS: The study showed that McCoy cells allowed the obtaining of accuracy estimates that were better than for N2A. The McCoy cell method is therefore an effective method for the isolation of the rabies virus.

Keywords: Rabies virus, isolation. Rabies, diagnosis. Chiroptera. Sensitivity and specificity. Predictive value.

INTRODUCTION

Murine neuroblastoma cells derived from different clones were introduced for the isolation of the rabies virus from 1978 onwards,19,23 and also for the study of the pathogenesis of rabies.22 Cultured cells have also been utilized to produce kits for serology use.16

World Health Organization (WHO) experts used to recommend the inoculation of the rabies virus in young mice (up to 21 days old), known as the biological test, in which the diagnostic examination was done after death. However, after successive studies that compared inoculation in mice with isolation of the virus in murine neuroblastoma cells, they accepted that this latter method could be utilized for diagnosing the disease, in conformity with the methodology described in the laboratory technique manuals for rabies.3,20

The first results from the isolation of the rabies virus in McCoy cells12 demonstrated that these cells easily isolate the rabies virus. In studies comparing the results obtained from titration in mice and McCoy cells (end point calculations),13 excellent replication of the rabies virus in McCoy cells has been demonstrated, thereby indicating the possible use of these cells in rabies virus assays.

McCoy cells present the characteristic of great sensitivity for rabies virus isolation. A clinically suspected rabies case was described,14 in which the classic biological test did not detect the rabies virus. The virus was isolated from the patient's spinal fluid and it was subsequently proven that this was in fact a case of human rabies, after a long period without the occurrence of autochthonous rabies in the State of São Paulo.

This capacity of McCoy cells for isolating the rabies virus, even at low concentrations (low viral load), makes this method a very useful tool in the study of the circulation of the rabies virus in natural forest reservoirs.

It must, however, be remembered that despite its efficacy, the rabies virus isolation method using McCoy cells has not yet been validated for use in disease diagnosis laboratories. Nonetheless, isolation of the rabies virus via these cells greatly facilitates the diagnosis, since the results from this method are compatible with the biological test. Moreover, these cells are easy to handle and have much lower maintenance costs than murine neuroblastoma cells (N2A) because, as well as requiring minimal nutritive medium, McCoy cells also only need half as much bovine fetal serum for supplementing the culturing medium. Nor can the costs be compared with the maintenance costs of a colony of mice.

Effectively, what was missing was a population-based study for validating this alternative methodology. The present study was therefore devised with the objective of validating the McCoy cell methodology, utilizing N2A cell culturing as a reference method, in accordance with the validation model proposed by Greiner & Gardner.8 These authors attributed a utility value to receiver operating characteristic (ROC) curves, since graphical analysis allows estimates of important parameters to be made, thereby obtaining the best relationship between sensitivity and specificity and optimizing the cutoff value for a given target population with a known prevalence.

METHODS

The validation study was performed on a random sample of bats captured in the Intervales State Park, State of São Paulo, Brazil, and evaluations of the presence of rabies virus infection were made using the two cell culture systems.

Five collections were made over a 20-month period, in which adult bats of various species and both sexes were captured. This was therefore an epidemiological survey (screening) for assessing the presence of naturally circulating rabies virus.

The results from the study were compared by means of indicative measures such as sensitivity, specificity, positive predictive value, negative predictive value, efficiency, Youden index,24 incorrect classification and positive and negative likelihood ratio, utilizing the technique of Two Graph Receiver Operating Characteristic (TG-ROC),7 by means of the Computational Methods for Diagnostic Tests (CMDT) program.4

The isolation attempts were performed by means of inoculation of 2% solution of liquefied brain from each captured bat (analysis unit), into the two different cell culture strains: murine neuroblastoma cells (N2A; reference method) and McCoy cells12 (method to be validated). Two consecutive runs of each brain solution were done in each cell culture type. The second run was done on 96-well plates, with three wells per analysis unit (brain). To preserve the conditions of a blind test, each brain was numbered and coded, thereby making it impossible to recognize the bat species that was being analyzed.

The laboratory diagnostic interpretation was based on reading the fluorescent foci observed directly from the wells after the direct immunofluorescence, using an inverted IM-35 microscope IM-35 (Zeiss).

The study variable was thus linked to the laboratory diagnosis, which ranged across a scale from zero to 4+. The reaction was considered to be positive for values of 1+, 2+, 3+ and 4+.

The bat sample size calculation11 was based on the rabies prevalence that was predicted and already known from isolation using murine neuroblastoma cells (N2A),20 which was set at 10%. The precision was stipulated to be 5% and the confidence interval 95%. The minimum number of bats required was estimated to be 138. Although 166 bats were captured, only 120 were analyzed, due to losses and the exclusion of pregnant females. Thus, it was necessary to adopt other parameters for finite populations, in accordance with the same authors.11 It was therefore considered that, for a sample of 120, the prevalence of the disease in a population in which the disease is not endemic would range from 0.3 to 1.5% (representing the expected number with the desired characteristic) and so the same 10% prevalence of infection expected via the N2A method was maintained. The number of 120 bats was considered to be the minimum sample size to be studied with a confidence interval of 95%.

A complementary sample of 19 bats from the Zoonosis Control Center of the Municipality of São Paulo was also utilized. The objective was to compare the results obtained from isolation in cell cultures (McCoy and N2A) with the biological test (inoculation in mice), to assess the degree of concordance between the three methodologies.

The results from the diagnoses made on the 120 bats were placed in a databank supported by the Epi Info 6.4 program,5 and were subsequently exported to other statistical programs such as Medcalc18 and CMDT.4 These programs enabled calculation of the sensitivity and specificity parameters and, from these, other indicators: efficiency, Youden index,24 likelihood ratios, incorrect classification and the positive and negative prediction values.

In addition to obtaining the optimized values, i.e. with the least losses in the sensitivity and specificity parameters, the best value for the cutoff point for the diagnostic method was also determined. The Bland & Altman technique2 was utilized for assessing the sampling bias, and the Passing-Bablok technique15 for checking the linearity between the two methods. Wilcoxon17 statistics were run to evaluate the differences between the averages for the two groups (N2A and McCoy cell systems), and the Spearman correlation coefficient17 was determined for checking the correlation between the two methods.

RESULTS AND DISCUSSION

Via the Wilcoxon test,17 the difference between the averages gave a p-value of 0.046, with 15 positive differences and 23 negative differences between the paired results, which represented a significant difference, albeit very close to the significance limit of 0.05. The Spearman test,17 comparing the same paired results from the two methods, detected that there was a statistically significant correlation (p=0.0001) between the two methods, with r=0.614 (0.489-0.715).

Figure 1 shows the straight-line Passing-Bablok regression15 and demonstrates linearity between the two methods, although significant proportional deviation is presented (p<0.01). This analysis was performed by means of testing a hypothesis, and this is presented in the Appendix.


From the Bland & Altman analysis,2 the result observed also showed that there was no bias in the sampling, even though the resultant average value from the differences between the pairs of readings from the two cell systems was -3.5, when the ideal average should be zero. Nonetheless, this value is within the tolerance limits, i.e. within the limits of the average plus two standard deviations, when considering a non-biased sample that is interpreted in the light that one method could substitute for the other.

Figures 2A and 2B show the TG-ROC graphs for the two cell systems (N2A and McCoy), with the determination of the optimized values for the sensitivity and specificity parameters. Another important result obtained from the graphs was the cutoff point, because this enabled the minimization of the effects of false positives and false negatives.



Table 2 shows the indicators obtained using the most appropriate cutoff point from the graphical analysis that was performed using the TG-ROC technique to optimize the sensitivity and specificity parameter estimates. In the case of N2A cells, these estimates were 90% for both sensitivity and specificity, and the cutoff point that determined these indicators was 1+, i.e. 25% of the cells in the microscope field were infected. For this cutoff point, the estimates of other indicators also presented optimized values: the test efficiency indicator was 90%, while the probability of classifying the observed results wrongly was 9%. The positive likelihood ratio, defined as the chance that a positive result would diagnose true disease and not a false result, was 9, which is the same as saying that the chance of a positive result being diagnosed as a true disease is nine times greater than for this diagnosis to represent a false positive result. The negative likelihood ratio for the same cutoff point was 0.11, which implies that for a negative diagnosis there is a chance of 11:100 that this result is a false negative.

With regard to McCoy cells, the same indicators presented results that were better than those observed for N2A cells. The estimates of sensitivity and specificity were 95%, despite a cutoff level that was also within the 1+ band. However, the proportion of cells infected corresponded to 38% of the visual field observed under the microscope.

The positive likelihood ratio for McCoy cells was 19, thus demonstrating that the chance that a positive diagnosis in a healthy population would be true was 19 times greater than the chance that this was a false positive result, for this cutoff point of 38%. This chance was twice what was found using the N2A cell methodology. Meanwhile, the estimate of the negative likelihood ratio was 0.052, which represented a chance of 5% that the result would be a false negative. This was half of what was found for N2A cells. In other words, for McCoy cells, only 5:100 of the diagnoses could be false negative results.

The efficiency of the test using McCoy cells was 95%, thus demonstrating that McCoy cells presented superiority or greater facility for isolating the rabies virus in relation to N2A cells.

Nonetheless, the method of reading at microscope crosshairs may be subjective and present a few variations, depending on the observer. This differs from mechanical reading of optical density or radioactivity, in which the results obtained are continuous numbers. But even so, the immunofluorescence technique presents sensitivity and specificity of 98%,4 which means that for a well-trained observer, errors would be rare. However, in attributing limiting values it is indeed possible for differences to occur between observers, especially in attributing values between 1+ and 2+. Thus, some false positive or false negative results could occur in this "gray zone", which is also the location where the cutoff point is established. In this situation, the number of results considered to be false positives or false negative could increase or decrease, depending on each observer. It may happen that the cutoff point is decided arbitrarily, thus affecting the definition of the sensitivity and specificity values. This point is therefore a critical factor in laboratory tests.8

In Figures 3A and 3B, the distributions of the results from reading at microscope crosshairs can be seen. It is precisely between the values attributed for 1+ and 2+ that there is the greatest difference between the methods. In Figures 2A and 2B, the cutoff level divides each figure into a left-hand side representing negative values and a right-hand side representing positive values. It can be seen that the cutoff values are above the 1+ value (25%) for N2A cells and at 37.5 % for McCoy cells, thereby eliminating the possible false negative readings and giving a good safety margin for the correct diagnosis. This can also be seen via the Youden index,24 which has a value of 90% (Table 2).



It needs to be remembered that the diagnostic tests are not perfect, but a correct diagnosis is highly probable. A test would only be considered perfect when the sensitivity and specificity were 100%, when the prevalence of the disease was correctly ascertained and when compared with the gold standard, remembering that the latter is the method that is capable of reproducing the disease or diagnosing the true disease, for example biopsy.10

In the case of rabies, the method considered to be the gold standard, other than a postmortem biopsy, could be the inoculation into mice of material collected from the patient (the biological test). In this case, the isolation accomplished through the test will detect the disease and not the infection, as occurs with the two cell culturing methods. Thus, in Table 3 it can be seen that the isolations performed on cell cultures show that only the 3+ results obtained from McCoy cells concord with the positive results from the biological test. This is equivalent to 75% of the infected cells observed in the visual field of the microscope. For the three cases that were positive in the biological test, the N2A cells presented two values of 2+ and only one of 3+. The Spearman correlation test17 presented a strong correlation between the two methods of cell culturing, with an r coefficient of 0.797 (0.536-0.918) and a p-value of 0.0007, while the coefficients between the biological test and the two cell methods presented moderate correlation values of r=0.647 (0.273-0.851) and p=0.006 for N2A and r=0.677 (0.536-0.918) and p=0.004 for McCoy. The correlation value between the two cell culturing methods for the second analysis (i.e. relating to the data set of Table 3) was greater than the correlation value for the first analysis (i.e. relating to the data set of Table 1), but it must be remembered that in the second analysis, the bats were collected from a location with a rabies outbreak, i.e. a place where rabies cases had already been found in bats, thus differing from the first analysis, in which the sample was collected randomly and presupposed healthy animals.

In future work, this question of the cutoff point should be analyzed in more detail, to determine the true status of the disease and infection and to indicate whether the virus is circulating among the bat population.

In conclusion, the isolation method utilizing McCoy cells presented accuracy indicators that were all higher than those for N2A cells. Analysis via the TG-ROC technique was very useful for estimating the indicators for this preliminary validation of the two cell systems as diagnostic methods. The graphical analysis of the TG-ROC performed using the CMDT computer program4 allowed the sensitivity and specificity parameters to be visualized and from these, all the other indicators could be estimated, thereby eliminating the non-parametric sample distribution bias.

The receiver operating characteristic (ROC)25 technique is considered to be a valuable method for comparing alternative tests for a given diagnostic method. It gives the best sensitivity and specificity parameters for results that present normal distribution, and this is why TG-ROC analysis was the most appropriate technique for estimating the validity parameters in the present study.

Another question that must be analyzed relates to the reference standard utilized. Neuroblastoma cells are an imperfect reference standard because, according to established criteria,9 negative results from isolation in cells does not always signify that the animal is not infected, since the specificity is not 100%.8 Even in the test that is considered to be the gold standard in this case, the biological test, it is only possible to obtain a positive diagnosis in situations in which the viral titer presents sufficient lethality to kill 50% of the animals inoculated. Thus, the viral particle concentration needed is greater than the viral concentrations found in forest reservoirs or natural samples.10 The virus circulating in reservoirs keeps to low concentrations so that infection can take place and be maintained in the species that shelter it.1

Isolations performed using cell cultures consider the number of viral particles in the inoculation that would be capable of infecting the cell while not being subject to interference from the immune response. On the other hand, in mice the immune response may interfere with and mask the infection, thus giving rise to asymptomatic infected animals. In such cases, for the immune response to be overcome and the animal to become sick, a greater viral load is needed. Even so, there is no set viral load at which this will take place, and the viral load required may be larger or smaller, depending on the mouse's own capacity to respond well or not, i.e. animals with a good response require larger loads, while those with a poor response require a lower viral concentration to sicken, since they present low immunity. It must also be remembered that low concentrations of live virus may, when inoculated, function as vaccines and induce an immune response. Such theoretical considerations21 must therefore be taken into account in the choice and analysis of the gold standard.

The validation of diagnostic tests without a gold standard may run the risk of bias and overestimation of the results.8 Study designs may also lead to biased analysis: epidemiological surveys (screening) of infectious diseases, for example, are very difficult to validate because, if the methodology utilized is inappropriate for the diagnosis, there may be subpopulations with latent infection within the sample population. Such factors may lead to biased results. Other validation techniques must then be observed so as to better estimate the accuracy of a new diagnostic method. These involve computed estimates utilizing the maximum likelihood function from the point of view of Bayesian inference.6 In a future study, an analysis of this type will be performed in order to define the true status of the disease and its prevalence in the forest reservoir studied.

ACKNOWLEDGEMENTS

To Prof. Dra. Sabina L. D. Gotlieb for reading and making suggestions for this text.

REFERÊNCIAS

Received on 27/1/2003

Reviewed on 28/7/2003

Approved on 13/10/2003

Based on a doctoral thesis presented to the School of Public Health, University of São Paulo, in 2001.

APPENDIX

Passing-Bablok regression

The interpretation of the results depends on analysis of the Passing-Bablok regression equation, as follows, in which:

Variable X = N2A;

Variable Y = McCoy;

Sample =120.

Regression equation:

Y = 0.0000 + 1.0000 X

Where:

Intercept A = 0.0000 (95% confidence interval = -1.0000 to 0.0000)

Slope B = 1.0000 (95% confidence interval = 1.0000 to 2.0000)

Linearity test:

Standard deviation of the linearity: (P<0.01)

This expression is understood in the following manner. The confidence interval of the intercept A can be used as a hypothesis test, in which:

• H0: the two methods are equal

• HA: the two methods are different

According to the Passing-Bablok technique (1983), the straight-line regression result is evaluated in the form of a hypothesis test, in which:

• A = 0; the hypothesis is accepted if the 0 is within the confidence interval

For the value of the straight-line slope (B), the confidence interval can again be used as a hypothesis test, in which:

• H0: the two methods present the same linearity

• HA: the two methods present different linearities.

To accept H0, the value of B needs to be 1 and this value must lie within the confidence interval. If the value of B differs from 1, H0 is then rejected and HA is accepted. This latter result indicates that there is linearity but it is proportionally different, since if p<0.01, this value defines the deviation of the linearity.

B = 1.0; confidence interval (1.0 – 2.0)

  • 1. Anderson R, May R. Coevolution of hosts and parasites. Parasitology 1982;85:411-426.
  • 2. Bland JM, Altman DG. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1986;8:307-11.
  • 3. Bourhy H, Sureau P, Hirose JM. Comparaison des techniques de detection et d' isolament. In: Institute Pasteur. Methods de laboratoire pour le diagnostic de la rage. Paris; 1991. p. 78.
  • 4 Briesofsky J. Computer Methods for Diagnostic Tests (CMDT). [2004 Mar 8]
  • 5. Dean AG, Dean AJ, Comlombier D, Burton AH, Brendel KA, Smith DC et al. Epi Info version 6: a word processing, data base, and statistics program for epidemiology on microcomputers. Atlanta: Center for Diseases Control and Prevention; 1994.
  • 6. Enoe C, Georgiadis MP, Johnson WO. Estimation of sensitivity and specificity of dianostic tests and disease prevalence when the true diseade state is unknown. Prevent Veterinary Med 2000;45:61-81.
  • 7. Greiner M. Two-graph receiver operating characteristics (TG-ROC): update version supports optimisation of cut-off vallues that minimise overall misclassification costs. J Immunol Methods 1996;191:93-4.
  • 8 Greiner M, Gardner IA. Epidemiologic issues in the validation diagnostic tests. Prevent Veterinary Med 2000;45:3-22.
  • 9. Greiner M, Pfeiffer D, Smith RD. Principles and practical application of receiver-operating characteristic analysis for diagnostic tests. Prevent Veterinary Med 2000;45:23-41.
  • 10. Krammer HC. Evaluating medical tests- objective and quantitative guidelines. Newbury Park: Sage Publications; 1992.
  • 11. Lwanga S, Lemeshow S. Sample size determination in health studies. Genève: WHO; 1991.
  • 12. Nogueira YL. Rabies virus in McCoy cell line. Part I: Cytopathic effect and replication. Rev Inst Adolfo Lutz 1992;52:9-16.
  • 13. Nogueira YL, Amaral CA. Rabies virus in McCoy cell line. Part II: Titration. Rev Inst Adolfo Lutz 1992;52:17-21.
  • 14. Nogueira YL. Morphometric analysis of McCoy cells inoculated with cerebrospinal fluid from patient with rabies. Mem Inst Oswaldo Cruz 1998;93:509-14.
  • 15. Passing W, Bablok H. A new biometrical procedure for testing the equality of measuraments from two different analytical methods. Aplication of linear regression procedures methods for comparison studies on clinical chemistry (Part I). J Clin Chem Biochem 1987;21:709-20.
  • 16. Perrin E, Rolin PE, Sureau P. A rapid rabies enzyme immuno-diagnosis (RREID): a useful and simple technique for the routine diagnosis of rabies. J Biol Stanrdization 1986;14:217-22.
  • 17. Sachs L. The comparation of independent data. In: Applied Statistics A Handbook of Techniques. 2nd ed. New York: Verlag Spring; 1984. p. 299-303.
  • 18. Schoonjans F. MedCalc statistics for biomedical research. Belgium; 1998.
  • 19. Smith A, Tignor G, Emmons R, Woodie J. Isolation of field rabies strains in CER and Murine Neuroblastom cell culture. Intervirol 1978;9:359-61.
  • 20. Smith JS, King A. Monoclonal antibodies for identification of rabies and non-rabies lyssavirus: In: Meslin FX, Kaplan MM, Koprowski H, editors. Laboratory in rabies. 4th ed. Geneva: World Health Organization, 1996. p. 133-44.
  • 21. Somoza E, Mossman D. Comparing and optimizing diagnostic tests: information-theoretical approach. Med Decis Making 1992;12:179-88.
  • 22. Tsiang H. An in vivo study of rabies pathogenesis. Bull Inst Pasteur 1985;83:41-5.
  • 23. Webster W. A tissue culture infection test in routine rabies diagnosis. Can J Vet Res 1987;51:367-9.
  • 24. Youden D. Index for rating diagnostic tests. Cancer 1950;3:32-5.
  • 25. Zweig MH, Campbell G. Receiver-operating characteristic (ROC) plots- a fundamental evaluation tool clinical medicine. Clin Chem 1993;39:561-77. [Erratum in Clin Chem 1993;39(8):1589].
  • Correspondence to
    Yeda L Nogueira
    Departamento de Epidemiologia Faculdade de Saúde Pública - USP
    Av. Doutor Arnaldo, 715
    01246 904 São Paulo, SP, Brasil
    E-mail:
  • Publication Dates

    • Publication in this collection
      26 Apr 2004
    • Date of issue
      Apr 2004

    History

    • Accepted
      13 Oct 2003
    • Reviewed
      23 July 2003
    • Received
      27 Jan 2003
    Faculdade de Saúde Pública da Universidade de São Paulo Avenida Dr. Arnaldo, 715, 01246-904 São Paulo SP Brazil, Tel./Fax: +55 11 3061-7985 - São Paulo - SP - Brazil
    E-mail: revsp@usp.br