Sensitivity calculation and interpretation US Medical PG Practice Questions and MCQs
Practice US Medical PG questions for Sensitivity calculation and interpretation. These multiple choice questions (MCQs) cover important concepts and help you prepare for your exams.
Sensitivity calculation and interpretation US Medical PG Question 1: A 32-year-old man comes to the physician for a follow-up examination 1 week after being admitted to the hospital for oral candidiasis and esophagitis. His CD4+ T lymphocyte count is 180 cells/μL. An HIV antibody test is positive. Genotypic resistance assay shows the virus to be susceptible to all antiretroviral therapy regimens and therapy with dolutegravir, tenofovir, and emtricitabine is initiated. Which of the following sets of laboratory findings would be most likely on follow-up evaluation 3 months later?
$$$ CD4 +/CD8 ratio %%% HIV RNA %%% HIV antibody test $$$
- A. ↓ ↓ negative
- B. ↑ ↑ negative
- C. ↓ ↑ negative
- D. ↑ ↓ positive (Correct Answer)
- E. ↓ ↑ positive
Sensitivity calculation and interpretation Explanation: ***↑ ↓ positive***
- With effective **antiretroviral therapy (ART)**, the **CD4+/CD8 ratio** would increase as **CD4+ T cell counts rise** and **CD8+ T cell counts decrease**.
- **HIV RNA (viral load)** would significantly decrease (ideally to undetectable levels) due to the suppression of viral replication, but HIV antibodies would remain positive indefinitely.
*↓ ↓ negative*
- A decrease in the **CD4+/CD8 ratio** and **HIV RNA** (viral load) along with a negative **HIV antibody test** is inconsistent with successful ART.
- A negative HIV antibody test would mean the patient was never infected, which contradicts the initial positive result and symptoms.
*↑ ↑ negative*
- An increase in the **CD4+/CD8 ratio** is expected with ART, but an increase in **HIV RNA** (viral load) indicates treatment failure.
- A negative **HIV antibody test** is impossible after a confirmed positive result, regardless of treatment success.
*↓ ↑ negative*
- A decrease in the **CD4+/CD8 ratio** would suggest worsening immune function, while an increase in **HIV RNA** indicates treatment failure.
- A negative **HIV antibody test** is not possible once a patient has developed antibodies to HIV.
*↓ ↑ positive*
- A decrease in the **CD4+/CD8 ratio** would indicate immune decline, contrary to the expected improvement with effective ART.
- An increase in **HIV RNA (viral load)** would signify treatment failure, even if HIV antibodies remain positive.
Sensitivity calculation and interpretation US Medical PG Question 2: A scientist in Chicago is studying a new blood test to detect Ab to EBV with increased sensitivity and specificity. So far, her best attempt at creating such an exam reached 82% sensitivity and 88% specificity. She is hoping to increase these numbers by at least 2 percent for each value. After several years of work, she believes that she has actually managed to reach a sensitivity and specificity much greater than what she had originally hoped for. She travels to China to begin testing her newest blood test. She finds 2,000 patients who are willing to participate in her study. Of the 2,000 patients, 1,200 of them are known to be infected with EBV. The scientist tests these 1,200 patients' blood and finds that only 120 of them tested negative with her new exam. Of the patients who are known to be EBV-free, only 20 of them tested positive. Given these results, which of the following correlates with the exam's specificity?
- A. 82%
- B. 90%
- C. 84%
- D. 86%
- E. 98% (Correct Answer)
Sensitivity calculation and interpretation Explanation: ***98%***
- **Specificity** measures the proportion of **true negatives** among all actual negatives.
- In this case, 800 patients are known to be EBV-free (actual negatives), and 20 of them tested positive (false positives). This means 800 - 20 = 780 tested negative (true negatives). Specificity = (780 / 800) * 100% = **98%**.
*82%*
- This value represents the *original sensitivity* before the scientist’s new attempts to improve the test.
- It does not reflect the *newly calculated specificity* based on the provided data.
*90%*
- This value represents the *newly calculated sensitivity* of the test, not the specificity.
- Out of 1200 EBV-infected patients, 120 tested negative (false negatives), meaning 1080 tested positive (true positives). Sensitivity = (1080 / 1200) * 100% = 90%.
*84%*
- This percentage is not directly derived from the information given for either sensitivity or specificity after the new test results.
- It does not correspond to any of the calculated values for the new test's performance.
*86%*
- This percentage is not directly derived from the information given for either sensitivity or specificity after the new test results.
- It does not correspond to any of the calculated values for the new test's performance.
Sensitivity calculation and interpretation US Medical PG Question 3: A scientist in Boston is studying a new blood test to detect Ab to the parainfluenza virus with increased sensitivity and specificity. So far, her best attempt at creating such an exam reached 82% sensitivity and 88% specificity. She is hoping to increase these numbers by at least 2 percent for each value. After several years of work, she believes that she has actually managed to reach a sensitivity and specificity even greater than what she had originally hoped for. She travels to South America to begin testing her newest blood test. She finds 2,000 patients who are willing to participate in her study. Of the 2,000 patients, 1,200 of them are known to be infected with the parainfluenza virus. The scientist tests these 1,200 patients’ blood and finds that only 120 of them tested negative with her new test. Of the following options, which describes the sensitivity of the test?
- A. 82%
- B. 86%
- C. 98%
- D. 90% (Correct Answer)
- E. 84%
Sensitivity calculation and interpretation Explanation: ***90%***
- **Sensitivity** is calculated as the number of **true positives** divided by the total number of individuals with the disease (true positives + false negatives).
- In this scenario, there were 1200 infected patients (total diseased), and 120 of them tested negative (false negatives). Therefore, 1200 - 120 = 1080 patients tested positive (true positives). The sensitivity is 1080 / 1200 = 0.90, or **90%**.
*82%*
- This value was the **original sensitivity** of the test before the scientist improved it.
- The question states that the scientist believes she has achieved a sensitivity "even greater than what she had originally hoped for."
*86%*
- This value is not directly derivable from the given data for the new test's sensitivity.
- It might represent an intermediate calculation or an incorrect interpretation of the provided numbers.
*98%*
- This would imply only 24 false negatives out of 1200 true disease cases, which is not the case (120 false negatives).
- A sensitivity of 98% would be significantly higher than the calculated 90% and the initial stated values.
*84%*
- This value is not derived from the presented data regarding the new test's performance.
- It could be mistaken for an attempt to add 2% to the original 82% sensitivity, but the actual data from the new test should be used.
Sensitivity calculation and interpretation US Medical PG Question 4: A family doctor in a rural area is treating a patient for dyspepsia. The patient had chronic heartburn and abdominal pain for the last 2 months and peptic ulcer disease due to a suspected H. pylori infection. For reasons relating to affordability and accessibility, the doctor decides to perform a diagnostic test in the office that is less invasive and more convenient. Which of the following is the most likely test used?
- A. Steiner's stain
- B. Culture of organisms from gastric specimen
- C. Stool antigen test (Correct Answer)
- D. Detection of the breakdown products of urea in biopsy
- E. Serology (ELISA testing)
Sensitivity calculation and interpretation Explanation: ***Stool antigen test***
- This **non-invasive** and **cost-effective** test detects *H. pylori* antigens in stool, making it suitable for a rural setting with limited resources.
- It is highly sensitive and specific, useful for both initial diagnosis and confirming eradication after treatment.
*Steiner's stain*
- **Steiner's stain** (Steiner silver stain) is primarily used for histological visualization of *Legionella* species, and **not for** *H. pylori* detection in routine clinical practice.
- It requires an **endoscopic biopsy**, making it more invasive and costly than the stool antigen test.
*Culture of organisms from gastric specimen*
- This method requires an **endoscopic biopsy** and specialized culture facilities, which may not be available in a rural doctor's office.
- It is more expensive and time-consuming, and primarily used when **antibiotic resistance** is suspected.
*Detection of the breakdown products of urea in biopsy*
- This refers to the **rapid urease test** (e.g., CLOtest), which is performed on a **gastric biopsy** obtained during endoscopy.
- While quick, it is an **invasive procedure** requiring endoscopy, which contradicts the patient's and doctor's preferences for a less invasive test.
*Serology (ELISA testing)*
- **Serology** detects antibodies to *H. pylori* but cannot differentiate between **active infection** and **past exposure**.
- Its utility in monitoring eradication is limited, and it's generally not recommended as the primary diagnostic test due to its inability to confirm active infection.
Sensitivity calculation and interpretation US Medical PG Question 5: An investigator is measuring the blood calcium level in a sample of female cross country runners and a control group of sedentary females. If she would like to compare the means of the two groups, which statistical test should she use?
- A. Chi-square test
- B. Linear regression
- C. t-test (Correct Answer)
- D. ANOVA (Analysis of Variance)
- E. F-test
Sensitivity calculation and interpretation Explanation: ***t-test***
- A **t-test** is appropriate for comparing the means of two independent groups, such as the blood calcium levels between runners and sedentary females.
- It assesses whether the observed difference between the two sample means is statistically significant or occurred by chance.
*Chi-square test*
- The **chi-square test** is used to analyze categorical data to determine if there is a significant association between two variables.
- It is not suitable for comparing continuous variables like blood calcium levels.
*Linear regression*
- **Linear regression** is used to model the relationship between a dependent variable (outcome) and one or more independent variables (predictors).
- It aims to predict the value of a variable based on the value of another, rather than comparing means between groups.
*ANOVA (Analysis of Variance)*
- **ANOVA** is used to compare the means of **three or more independent groups**.
- Since there are only two groups being compared in this scenario, a t-test is more specific and appropriate.
*F-test*
- The **F-test** is primarily used to compare the variances of two populations or to assess the overall significance of a regression model.
- While it is the basis for ANOVA, it is not the direct test for comparing the means of two groups.
Sensitivity calculation and interpretation US Medical PG Question 6: You conduct a medical research study to determine the screening efficacy of a novel serum marker for colon cancer. The study is divided into 2 subsets. In the first, there are 500 patients with colon cancer, of which 450 are found positive for the novel serum marker. In the second arm, there are 500 patients who do not have colon cancer, and only 10 are found positive for the novel serum marker. What is the overall sensitivity of this novel test?
- A. 450 / (450 + 10)
- B. 490 / (10 + 490)
- C. 490 / (50 + 490)
- D. 450 / (450 + 50) (Correct Answer)
- E. 490 / (450 + 490)
Sensitivity calculation and interpretation Explanation: ***450 / (450 + 50)***
- **Sensitivity** is defined as the proportion of actual positive cases that are correctly identified by the test.
- In this study, there are **500 patients with colon cancer** (actual positives), and **450 of them tested positive** for the marker, while **50 tested negative** (500 - 450 = 50). Therefore, sensitivity = 450 / (450 + 50) = 450/500 = 0.9 or 90%.
*450 / (450 + 10)*
- This formula represents **Positive Predictive Value (PPV)**, which is the probability that a person with a positive test result actually has the disease.
- It incorrectly uses the total number of **test positives** in the denominator (450 true positives + 10 false positives) instead of the total number of diseased individuals, which is needed for sensitivity.
*490 / (10 + 490)*
- This is actually the correct formula for **specificity**, not sensitivity.
- Specificity = TN / (FP + TN) = 490 / (10 + 490) = 490/500 = 0.98 or 98%, which measures the proportion of actual negative cases correctly identified.
- The question asks for sensitivity, not specificity.
*490 / (50 + 490)*
- This formula incorrectly mixes **true negatives (490)** with **false negatives (50)** in an attempt to calculate specificity.
- The correct specificity formula should use false positives (10), not false negatives (50), in the denominator: 490 / (10 + 490).
*490 / (450 + 490)*
- This calculation incorrectly combines **true negatives (490)** and **true positives (450)** in the denominator, which does not correspond to any standard epidemiological measure.
- Neither sensitivity nor specificity uses both true positives and true negatives in the denominator.
Sensitivity calculation and interpretation US Medical PG Question 7: A medical research study is beginning to evaluate the positive predictive value of a novel blood test for non-Hodgkin’s lymphoma. The diagnostic arm contains 700 patients with NHL, of which 400 tested positive for the novel blood test. In the control arm, 700 age-matched control patients are enrolled and 0 are found positive for the novel test. What is the PPV of this test?
- A. 400 / (400 + 0) (Correct Answer)
- B. 700 / (700 + 300)
- C. 400 / (400 + 300)
- D. 700 / (700 + 0)
- E. 700 / (400 + 400)
Sensitivity calculation and interpretation Explanation: ***400 / (400 + 0) = 1.0 or 100%***
- The **positive predictive value (PPV)** is calculated as **True Positives / (True Positives + False Positives)**.
- In this scenario, **True Positives (TP)** are the 400 patients with NHL who tested positive, and **False Positives (FP)** are 0, as no control patients tested positive.
- This gives a PPV of 400/400 = **1.0 or 100%**, indicating that all patients who tested positive actually had the disease.
*700 / (700 + 300)*
- This calculation does not align with the formula for PPV based on the given data.
- The denominator `(700+300)` suggests an incorrect combination of various patient groups.
*400 / (400 + 300)*
- The denominator `(400+300)` incorrectly includes 300, which is the number of **False Negatives** (patients with NHL who tested negative), not False Positives.
- PPV focuses on the proportion of true positives among all positive tests, not all diseased individuals.
*700 / (700 + 0)*
- This calculation incorrectly uses the total number of patients with NHL (700) as the numerator, rather than the number of positive test results in that group.
- The numerator should be the **True Positives** (400), not the total number of diseased individuals.
*700 / (400 + 400)*
- This calculation uses incorrect values for both the numerator and denominator, not corresponding to the PPV formula.
- The numerator 700 represents the total number of patients with the disease, not those who tested positive, and the denominator incorrectly sums up values that don't represent the proper PPV calculation.
Sensitivity calculation and interpretation US Medical PG Question 8: A research team is working on a new assay meant to increase the sensitivity of testing in cervical cancer. Current sensitivity is listed at 77%. If this research team's latest work culminates in the following results (listed in the table), has the sensitivity improved, and, if so, then by what percentage?
Research team's latest results:
| | Patients with cervical cancer | Patients without cervical cancer |
|--------------------------|-------------------------------|----------------------------------|
| Test is Positive (+) | 47 | 4 |
| Test is Negative (-) | 9 | 44 |
- A. No, the research team has seen a decrease in sensitivity according to the new results listed.
- B. No, the research team has not seen any improvement in sensitivity according to the new results listed.
- C. Yes, the research team has seen an improvement in sensitivity of almost 7% according to the new results listed. (Correct Answer)
- D. Yes, the research team has seen an improvement in sensitivity of more than 10% according to the new results listed.
- E. Yes, the research team has seen an improvement in sensitivity of less than 2% according to new results listed; this improvement is negligible and should be improved upon for significant contribution to the field.
Sensitivity calculation and interpretation Explanation: ***Yes, the research team has seen an improvement in sensitivity of almost 7% according to the new results listed.***
- **Sensitivity** is calculated as **True Positives / (True Positives + False Negatives)**. From the table: True Positives = 47, False Negatives = 9.
- New sensitivity = 47 / (47 + 9) = 47 / 56 $\approx$ **83.9%**. Compared to the current sensitivity of 77%, this is an improvement of 83.9% - 77% = **6.9%**, which is almost 7%.
*No, the research team has not seen any improvement in sensitivity according to the new results listed.*
- The new sensitivity calculated is **83.9%**, which is indeed higher than the current sensitivity of **77%**.
- This option incorrectly states there is no improvement, as a clear increase of nearly 7% is observed.
*No, the research team has seen a decrease in sensitivity according to the new results listed.*
- The calculated new sensitivity of **83.9%** is higher than the original 77%, indicating an **increase**, not a decrease.
- This statement is factually incorrect based on the provided data.
*Yes, the research team has seen an improvement in sensitivity of more than 10% according to the new results listed.*
- The improvement is approximately **6.9%** (83.9% - 77%), which is less than 10%.
- This option overstates the degree of improvement observed.
*Yes, the research team has seen an improvement in sensitivity of less than 2% according to new results listed; this improvement is negligible and should be improved upon for significant contribution to the field.*
- The calculated improvement is approximately **6.9%**, not less than 2%.
- While clinical significance can be debated, the mathematical calculation of improvement is not accurately reflected by "less than 2%".
Sensitivity calculation and interpretation US Medical PG Question 9: A pharmaceutical company develops a sequential testing protocol for a rare genetic disorder (prevalence 0.01%). Initial screening test has sensitivity 95% and specificity 90%. Positive results undergo confirmatory testing with sensitivity 99% and specificity 99.5%. The company claims this approach achieves PPV >80% for the final positive result. Evaluate this claim and the rationale for sequential testing in this context.
- A. The claim is true; sequential testing increases PPV by enriching the population tested in the second step (Correct Answer)
- B. The claim is false; sensitivity decreases with sequential testing, reducing PPV
- C. Sequential testing is unnecessary; the first test alone achieves adequate PPV
- D. The claim is false; sequential testing cannot achieve PPV >80% with such low prevalence
- E. The claim is true; the high specificity of the confirmatory test ensures high PPV regardless of prevalence
Sensitivity calculation and interpretation Explanation: ***The claim is true; sequential testing increases PPV by enriching the population tested in the second step***
- Sequential testing works by increasing the **pre-test probability** for the second test, as the cohort being tested has already screened positive once.
- By applying a highly specific confirmatory test to this enriched group, the number of **false positives** is significantly reduced, which drastically improves the **Positive Predictive Value (PPV)**.
*The claim is false; sequential testing cannot achieve PPV >80% with such low prevalence*
- Even with a low **prevalence**, the multiplication of specificities in a sequential process can reduce the **False Positive** rate to a level where the PPV exceeds 80%.
- This line of reasoning ignores that the **denominator** of the PPV calculation (True Positives + False Positives) decreases much faster than the numerator during the second stage.
*The claim is true; the high specificity of the confirmatory test ensures high PPV regardless of prevalence*
- While high **specificity** is crucial, PPV is always dependent on the **prevalence** (pre-test probability) of the condition in the group being tested.
- The claim is true because sequential testing specifically raises that **pre-test probability**, not because prevalence is irrelevant to the calculation.
*The claim is false; sensitivity decreases with sequential testing, reducing PPV*
- It is true that **net sensitivity** decreases in sequential testing, but a decrease in sensitivity actually tends to have a negligible effect on PPV compared to specificity gains.
- **PPV** is primarily driven by the **specificity** and the prevalence in the tested population, both of which are optimized in this two-step protocol.
*Sequential testing is unnecessary; the first test alone achieves adequate PPV*
- Given a prevalence of 0.01% and 90% specificity, the **first test** alone would yield a massive amount of false positives, resulting in a very low PPV (~0.09%).
- A **confirmatory test** is clinically and ethically necessary to avoid wrongly diagnosing thousands of healthy individuals with a **rare genetic disorder**.
Sensitivity calculation and interpretation US Medical PG Question 10: A hospital system is implementing a sepsis screening algorithm using clinical criteria with sensitivity of 92% and specificity of 75%. False positives result in unnecessary antibiotics, cultures, and ICU evaluations costing $3,000 per case. Missing true sepsis cases (false negatives) results in average increased mortality and morbidity costs of $50,000 per case. Hospital sepsis prevalence is 8%. Evaluate the optimal threshold adjustment strategy.
- A. Maintain current threshold as it balances sensitivity and specificity equally
- B. Implement risk stratification with different thresholds for different populations
- C. Abandon screening due to unacceptable false positive rate
- D. Increase threshold to improve specificity and reduce costs from false positives
- E. Decrease threshold to improve sensitivity despite more false positives (Correct Answer)
Sensitivity calculation and interpretation Explanation: ***Decrease threshold to improve sensitivity despite more false positives***
- In sepsis screening, the **cost of a false negative** ($50,000) is nearly 17 times higher than the **cost of a false positive** ($3,000), necessitating a strategy that prioritizes **sensitivity** to minimize missed cases.
- Lowering the threshold further ensures fewer high-cost **mortality and morbidity** events occur, which is the most economically and clinically sound approach given the significant **weighted cost** of missing a diagnosis.
*Increase threshold to improve specificity and reduce costs from false positives*
- Increasing the threshold would increase the number of **false negatives**, leading to massive financial losses due to the $50,000 cost per missed **sepsis case**.
- While it reduces the $3,000 expense of unnecessary **antibiotics and cultures**, the savings are mathematically dwarfed by the increased costs of untreated sepsis.
*Maintain current threshold as it balances sensitivity and specificity equally*
- A balanced threshold is inappropriate when the **consequences of error types** are highly asymmetrical; the algorithm should favor the side with the more severe outcome.
- Simply balancing **sensitivity and specificity** fails to account for the 8% **prevalence** and the extreme disparity in costs between false positives and false negatives.
*Implement risk stratification with different thresholds for different populations*
- While risk stratification is useful, it does not address the fundamental need to minimize **false negatives** across the entire 8% prevalence population.
- This approach adds **operational complexity** without necessarily solving the primary economic imbalance between **screening costs** and mortality costs.
*Abandon screening due to unacceptable false positive rate*
- Abandoning screening would lead to an even higher rate of **missed sepsis cases**, resulting in catastrophic clinical outcomes and **increased hospital liability**.
- The current 75% **specificity** is acceptable because the clinical priority in sepsis is **early detection** to prevent rapid physiological deterioration.
More Sensitivity calculation and interpretation US Medical PG questions available in the OnCourse app. Practice MCQs, flashcards, and get detailed explanations.