Introduction
Scientific data and its dissemination are essential elements of an effective response to the current pandemic. As the global outbreak of coronavirus disease 2019 (COVID-19) has unfolded, biomedical journals including Radiology have been working to publish results of clinical experience and research in a timely manner (1). New imaging research aims to help radiologists around the world to be prepared for the arrival of patients with COVID-19 in their practices.
In the last months, clinicians have seen hundreds of research headlines on all aspects of diagnosis, monitoring, and treatment of COVID-19. The plethora of new research challenges our ability to interpret and apply new research results. Inevitably, we attempt to intuitively extrapolate new research results to my patient and my hospital, perhaps without having time to discern critical features in the research study population and study design. In this article, we review principles clinical study design and clinical epidemiology as applied to examples from the imaging literature concerning CT diagnosis of COVID-19. Our goal is to assist the clinician in their critical appraisal of the rapidly growing COVID-19 imaging literature and to illustrate how these new research results may apply to daily practice.
Moving beyond sensitivity and specificity to predictive value
Most articles examining CT’s diagnostic performance focus on its sensitivity for diagnosing COVID-19 pneumonia against the reference standard, reverse transcriptase polymerase chain reaction (RT-PCR) for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) (2). A few articles also consider CT’s specificity. Although a logical starting point, sensitivity and specificity, by definition, indicate CT’s diagnostic performance when the true COVID-19 status is already known. Since a patient’s COVID-19 status is typically unknown at time of presentation, sensitivity and specificity are not the most clinically useful indicators of diagnostic test performance. Instead, we need to know the converse: how likely is the patient to have COVID-19 given a positive or negative CT?
This last question defines the concept of predictive value. In the current pandemic, positive predictive value (PPV) is the probability of having COVID-19 when a radiologist determines the CT is positive and has findings that are consistent with COVID-19. The negative predictive value (NPV) is the probability of not having the disease when the CT is negative (or normal). PPV and NPV can be calculated by well-known formulas (Fig 1) (3,4), but the calculations are not easy to perform in your head.
To obtain a better intuitive understanding of the PPV and NPV formulas, we consider the example of diagnosing COVID-19 pneumonia with CT. Consider an example of CT having sensitivity of 97% (5) and an (optimistic) specificity of 80% for COVID-19. In addition, assume a COVID-19 prevalence of 15%, (the approximate percentage of positive results found in RT-PCR tests being performed at Johns Hopkins Medicine hospitals at the present time). Inserting these assumptions into the formulas in Figure 1, the calculated PPV is only 46%, but the NPV is 99% (Fig 2).
Both predictive values, especially the PPV, are numerically different from the assumed sensitivity and specificity. Why? First, the PPV and NPV formulas include an additional component—the prevalence of COVID-19—and the PPV and NPV are heavily influenced by the prevalence of illness in a given population (6). Second, intuition may naturally associate PPV with sensitivity and NPV with specificity. However, this intuition is not correct: unless the disease prevalence is much greater than 50%, the PPV calculation is mathematically dominated by specificity, rather than sensitivity (7). Because CT is not a specific test for COVID-19 pneumonia, there will be many cases (46%, or about 1 out of every 2 cases) falsely diagnosed as COVID-19 by radiologists who note lung opacities as “diagnostic” of COVID-19 pneumonia. Therefore, in our first example, there is only about a 50-50 chance that the positive CT findings are actually due to COVID-19 pneumonia.
On the other hand, our example case with NPV of 99% suggests that a negative CT could rule out COVID-19 infection. This is because the NPV calculation is mathematically dominated by sensitivity, which is high, rather than specificity (see also the callout box in Fig 3). If CT is very sensitive for detecting COVID-19 pneumonia, very few cases will be missed, so a patient with a negative CT will be unlikely to be a missed case (7).
Although the preceding example was meant to be illustrative, the calculation demonstrates similar results—relatively low PPV and high NPV for CT—across plausible ranges of sensitivity, specificity, and prevalence (Fig 2). Note further that the example has no mention of “quality” of the research publication or how many patients were studied. Rather, it focuses on the effect of the clinical environment on predictive value. A community hospital in the midwestern portion of the United States may have a community prevalence of COVID-19 of 1– 2%; a single nursing home in the same community may have a prevalence of 40%, approaching that reported in Wuhan (2). CT at these two sites in the same community would have vastly different predictive values for COVID-19 pneumonia.
A supplement to this article includes a spreadsheet with which the reader can try their own calculations (online). For example, if specificity is lowered to a less optimistic value of 50%, which is the upper limit of the confidence interval reported by Kim et al. (2), the calculated PPV in our example case would be a lowly 26%.
Pay close attention to characteristics of the study population
Sensitivity, specificity, PPV, and NPV are strictly valid only for the population from which they are obtained. Study populations in COVID-19 publications may be vastly different not only between each other but also when compared to your hospital’s clinical population. This section discusses the impact of the study population to our individual hospital circumstances. (See also callout box in Fig 4).
We start by comparing the distinctly different study populations reported by Ai et al. (5) and Bai et al. (8) in Radiology. Both are studies of CT to identify COVID-19 pneumonia but with apparently opposite results concerning CT performance. Nevertheless, both study results are valid in the context of their individual study populations.
Ai et al. reported their experience with 1014 cases of suspected SARS-CoV-2 infection, finding CT to have a sensitivity of 97% and specificity of 25%. But the prevalence of COVID-19 was 59%, which is far higher than is being reported in the United States at the present time. In theory, sensitivity and specificity are inherent properties of a diagnostic test that are independent of disease prevalence (4). However, in practice, a difference in disease prevalence is often a surrogate marker for underlying population differences that can affect the results of testing and treatment. For example, one possible explanation for the unexpectedly low specificity reported by Ai et al. is that radiologists were employing a low interpretation threshold for diagnosing COVID-19 on CT—perhaps including pneumonia patterns that are seen with COVID-19 but are less typical. A low threshold involves a tradeoff between sensitivity and specificity that favors sensitivity. Such a tradeoff might be justified in an epidemic area with an extremely high COVID-19 prevalence. Other possible explanations for an unexpectedly low specificity—not necessarily applicable to Ai et al.—include an imperfect reference standard (e.g., RT-PCR tests with variable performance due to varying stages of viral shedding) or high local prevalence of infections that mimic COVID-19 pneumonia.
Bai et al. reported a sensitivity range of 73-93% and a specificity range of 93-100% among the American radiologists in their study. But their study was a reader study and, by design, not population-based. In their study, the prevalence of COVID-19 approximated 50%, which is customary for well-designed reader studies. More importantly, the study “population” was contrived, again by design. All CT cases, both positive and negative, were abnormal. Furthermore, all the COVID-19 “negative” cases were patients with confirmed viral pneumonia of another type. Obviously, this study “population” is nothing like clinical practice. In real practice, the expected COVID-19 negative cases would include patients with thoracic conditions other than viral pneumonia or even patients with no thoracic disease at all.
Because COVID-19 is a new disease, no data from prospective, randomly sampled populations can exist at the beginning of the outbreak. Initial studies must rely on retrospective data collected from patients who happened to have both CT and RT-PCR, the reference test. These studies are subject to substantial selection bias, a common problem with retrospective studies. These biases are well-recognized and discussed elsewhere (9,10).
Given all of the preceding caveats, one might wonder whether such studies are of any value to clinical practice. They do indeed have value, if appropriate attention is paid to the characteristics of each study population. Even if it involved a population with high COVID-19 prevalence, the study from Ai et al. provided a preliminary estimate of CT’s sensitivity and specificity early in the pandemic—at a time when CT’s diagnostic performance was unknown in any type of population. The results from Bai et al. suggest that non-COVID-19 viral pneumonias do not resemble COVID-19, because their study's high specificity meant few non-COVID-19 viral pneumonias were mistakenly classified as COVID-19. In addition, COVID-19 pneumonia can resemble other viral pneumonias, because their study's moderate sensitivity meant some COVID-19 pneumonias were mistakenly classified as another type.
Where do we go from here?
To see how results reported in the COVID-19 literature fit into our clinical practice, it is critical to understand the relationship between each study population and that encountered in our own clinical environment. Marked differences are likely to exist between your practice versus research study populations. As illustrated by the preceding examples, population differences can result in apparently conflicting research results, which can lead to the conclusion that the “true” sensitivity and specificity are yet unknown (11). In reality, there is probably no single “true” sensitivity, specificity, or predictive value that would apply to all clinical practice settings.
Meta-analyses are “studies of studies” that attempt to provide, e.g., sensitivity and specificity, across all published research on the topic. A traditional meta-analysis of a diagnostic test begins by assuming the existence of underlying “true” values of sensitivity and specificity. A meta-analysis then attempts to estimate these values by pooling the results statistically from multiple studies. For CT diagnosis of COVID-19, the assumption of a single set of true values is, unfortunately, not a good assumption. A high degree of “heterogeneity” for CT has been reported (2). For example, Kim et al. provide statistical confidence intervals for sensitivity and specificity instead of a single number (a so-called “point estimate”) (2). It is left to the reader to determine the most applicable location within the confidence interval. For CT diagnosis of COVID-19, statistical averaging of prevalence and predictive value are not meaningful because of marked heterogeneity of the study populations of the existing literature.
When judging a study population, COVID-19 prevalence is a major indicator of similarity of those populations. However, readers must also consider other important characteristics such as age, other demographic factors, co-morbid diseases, COVID-19 stage at time of imaging, and spectrum of disease severity, including the proportion of critically ill patients and those with no symptoms at time of diagnosis. Research studies usually assume equal access to medical care, but logistical, political, educational and socioeconomic factors have affected access to COVID19 testing. Current estimates of COVID-19 prevalence are based on the prevalence among those who have been tested, which is distinct from the prevalence in the entire population, so apparent COVID-19 prevalence may change as testing becomes more widespread. Clinical practice factors are also important to consider, such as how patients suspected of SARS-CoV-2 infection are selected for CT or RT-PCR testing and the CT interpretation criteria employed. The proportion of infected patients who are asymptomatic is especially important because these patients are associated with a different spectrum of CT findings (12) and may be selected differently for RT-PCR testing. All of these differences can affect the apparent performance and clinical role of CT in diagnosis and management of COVID-19 both in research populations and clinical practice.
Differences in patient populations are acknowledged in the COVID-19 consensus statements from the Fleischner Society, whose guidelines are stratified according to disease risk and severity (13). COVID-19 reporting guidelines (11) represent an initial effort to standardize CT interpretation thresholds, which would otherwise be a source of hidden variability in the clinical population.
Rapid dissemination of clinical evidence will continue to be an important component in responding to the COVID-19 pandemic. As the disease’s newness fades, opportunities may arise to conduct prospective studies on randomly sampled populations. Even with these more rigorously designed studies, attention will still be necessary to compare study populations with those encountered in clinical practice. Attention will also be required if COVID-19 prevalence or severity shifts in clinical populations. Thoughtful application of clinical epidemiology principles is necessary in order to place new COVID-19 evidence in a proper clinical context that continues to evolve.
APPENDIX
Footnotes
Abbreviations:
- COVID-19
- coronavirus disease 2019
- CT
- computed tomography
- RT-PCR
- reverse transcriptase polymerase chain reaction
- SARS-CoV-2
- severe acute respiratory syndrome coronavirus 2
- PPV
- positive predictive value
- NPV
- negative predictive value
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