Test Accuracy Formulas

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Questions and Answers

A diagnostic test has a sensitivity of 90% and a specificity of 80%. What is the positive likelihood ratio?

  • 4.5 (correct)
  • 2.2
  • 0.45
  • 0.22

In a population, a new diagnostic test identifies 95 out of 100 people with a disease as positive (True Positive). However, it also wrongly identifies 5 out of 100 healthy people as positive (False Positive). Which calculation determines the Positive Predictive Value (PPV) of this test?

  • $5/(5 + 95)$
  • $(95 + 95)/(95 + 5)$
  • $95/(95 + 5)$ (correct)
  • $95/(95 + 95)$

A certain test has a specificity of 90%. What does this tell us about the false positive rate?

  • The true negative rate is 10%
  • The false positive rate is 10% (correct)
  • The true positive rate is 10%
  • The false positive rate is 90%

If a diagnostic test has a sensitivity of 95%, what is the false negative rate?

<p>5% (A)</p> Signup and view all the answers

If a test has a high negative predictive value, what does this indicate about the population being tested?

<p>A negative test is likely to be a true negative (B)</p> Signup and view all the answers

In a diagnostic test, what does a high positive likelihood ratio suggest?

<p>The test is good at ruling in the disease. (A)</p> Signup and view all the answers

A study evaluates a new diagnostic test for a rare disease. The test has a sensitivity of 90% and a specificity of 95%. What is the most likely reason for using this test in a population with very low prevalence of the disease?

<p>To increase the negative predictive value. (D)</p> Signup and view all the answers

What does the 'prevalence' of a disease measure in a population?

<p>The proportion of the population that has the disease at a specific time. (B)</p> Signup and view all the answers

If the overall inaccuracy of a test is calculated as 0.15, what is the overall accuracy?

<p>0.85 (B)</p> Signup and view all the answers

The false positive error rate is given by the equation $FP/(FP+TN)$. Which of the following represents an equivalent expression?

<p>1 - Specificity (C)</p> Signup and view all the answers

What does the acronym 'TP' stand for in the context of diagnostic testing?

<p>True Positive (A)</p> Signup and view all the answers

Which of the following formulas represents specificity?

<p>TN/(TN + FP) (A)</p> Signup and view all the answers

A diagnostic test has a high number of false negatives. Which of the following would be directly affected by this?

<p>Sensitivity (D)</p> Signup and view all the answers

If a test has a sensitivity of 90% and a specificity of 90%, how does its negative predictive value change with increasing disease prevalence?

<p>Decreases (C)</p> Signup and view all the answers

The positive likelihood ratio is calculated using which of the following?

<p>Sensitivity / (1 - Specificity) (C)</p> Signup and view all the answers

Which of the following is the formula for Negative Likelihood Ratio?

<p>(1 - Sensitivity) / Specificity (C)</p> Signup and view all the answers

What does a higher negative likelihood ratio (approaching infinity) suggest about a diagnostic test?

<p>The test is not useful (C)</p> Signup and view all the answers

In the formula for overall accuracy, what do TN and TP represent, respectively?

<p>True Negative and True Positive (D)</p> Signup and view all the answers

How is overall inaccuracy calculated?

<p>FN + FP / (TN + TP + FN + FP) (C)</p> Signup and view all the answers

What is the relationship between the false positive rate and specificity?

<p>False positive rate = 1 - Specificity (A)</p> Signup and view all the answers

If a diagnostic test has a specificity of 95%, what is its false positive error rate?

<p>5% (D)</p> Signup and view all the answers

Which of the following represents the formula for the false negative error rate?

<p>FN / (TP + FN) (D)</p> Signup and view all the answers

How is the false negative rate related to sensitivity?

<p>False negative rate = 1 - Sensitivity (A)</p> Signup and view all the answers

If a diagnostic test has a sensitivity of 85%, what is its false negative error rate?

<p>15% (C)</p> Signup and view all the answers

In the context of diagnostic testing, what does 'prevalence' refer to?

<p>The proportion of a population with a disease (C)</p> Signup and view all the answers

Which formula correctly calculates prevalence?

<p>TP + FN / (TN + TP + FN + FP) (C)</p> Signup and view all the answers

A disease has a prevalence of 10% in a population. If a diagnostic test identifies 80 true positives and 10 false negatives, what other information is needed to calculate the positive predictive value?

<p>The number of false positives (D)</p> Signup and view all the answers

If a test has a very high specificity, what is the likely impact on the test's negative predictive value (NPV)?

<p>The NPV will likely be high, assuming low prevalence (B)</p> Signup and view all the answers

Given a test with 90% sensitivity and 80% specificity, how would increasing the cut-off value for a positive result impact these values?

<p>Sensitivity decreases, specificity increases (C)</p> Signup and view all the answers

A new screening test is introduced for a rare disease. Which measure is most crucial for determining the test's effectiveness in a population?

<p>Positive Predictive Value (D)</p> Signup and view all the answers

A clinic is evaluating a new test for a disease with low prevalence. What should be prioritized when assessing the usefulness of this test?

<p>High specificity to minimize false positives (A)</p> Signup and view all the answers

A study finds that a new diagnostic test has a very high sensitivity but a low specificity. What is a likely consequence of using this test widely?

<p>Many false positives, leading to unnecessary treatment (D)</p> Signup and view all the answers

A new test has a sensitivity of 95% and specificity of 60%. If used on a general population, what would be the main concern?

<p>High rate of false positives (D)</p> Signup and view all the answers

If a diagnostic test is intended to 'rule out' a disease, which characteristic is most important?

<p>High sensitivity (C)</p> Signup and view all the answers

For a disease with very low prevalence, which would be the most important goal when designing a screening program?

<p>Maximize specificity, regardless of sensitivity (D)</p> Signup and view all the answers

What is the relationship between a test's sensitivity and the false negative rate?

<p>As sensitivity increases, the false negative rate decreases (B)</p> Signup and view all the answers

Suppose a new, inexpensive test for a rare disease has only moderate sensitivity and specificity. In what scenario might it still be considered valuable?

<p>As a first-line screening test in a high-risk population (C)</p> Signup and view all the answers

A hospital implements a new diagnostic test for a common ailment. Initially, the test shows high sensitivity and specificity in trials. However, post-implementation, clinicians notice an unexpectedly high number of false positives. What is the MOST likely explanation?

<p>The test's specificity is lower in the general population compared to the trial population. (B)</p> Signup and view all the answers

Two tests are available for a disease: Test A (95% sensitivity, 70% specificity) and Test B (70% sensitivity, 95% specificity). If the primary goal is to ensure that nearly all affected individuals are identified in an initial screening, which test is more appropriate?

<p>Test A, due to its higher sensitivity (B)</p> Signup and view all the answers

Flashcards

Sensitivity

The probability that a test correctly identifies individuals who have a specific condition or disease.

Specificity

The probability that a test correctly identifies individuals who do not have a specific condition or disease.

Positive Predictive Value (PPV)

The probability that a person with a positive test result actually has the disease or condition.

Negative Predictive Value (NPV)

The probability that a person with a negative test result actually does not have the disease or condition.

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Positive Likelihood Ratio

The ratio of the probability of a positive test result in individuals with a condition to the probability of a positive test result in individuals without the condition.

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Negative Likelihood Ratio

The ratio of the probability of a negative test result in individuals with a condition to the probability of a negative test result in individuals without the condition.

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Overall Accuracy

The proportion of all test results that are correct (both positive and negative).

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Overall Inaccuracy

The proportion of all test results that are incorrect (both false positive and false negative).

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False Positive Error Rate

The proportion of individuals without the condition who incorrectly test positive.

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False Negative Error Rate

The proportion of individuals with the condition who incorrectly test negative.

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Prevalence

The proportion of the population that has a specific condition at a given time.

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Study Notes

  • List of formulas

Formula (I)

  • Sensitivity = TP/(TP + FN)
  • Specificity = TN/(TN + FP)
  • Positive Predictive Value = TP/(TP + FP)
  • Negative Predictive Value = TN/(TN + FN)
  • Positive Likelihood Ratio = Sensitivity/(1 - Specificity)
  • Negative Likelihood Ratio = (1 - Sensitivity)/Specificity

Formulas (II)

  • Overall accuracy = (TN + TP)/(TN + TP + FN + FP)
  • Overall inaccuracy = (FN + FP)/(TN + TP + FN + FP)
  • False positive error rate = FP/(FP + TN) = 1 - specificity
  • False negative error rate = FN/ (TP + FN) = 1 - sensitivity
  • Prevalence = (TP + FN)/(TN + TP + FN + FP)

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