出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2013/01/25 22:29:09」(JST)
It has been suggested that this article or section be merged with Positive_predictive_value. (Discuss) Proposed since May 2012. |
In statistics and diagnostic testing, the negative predictive value (NPV) is a summary statistic used to describe the performance of a diagnostic testing procedure. It is defined as the proportion of subjects with a negative test result who are correctly diagnosed. A high NPV for a given test means that when the test yields a negative result, it is most likely correct in its assessment. In the familiar context of medical testing, a high NPV means that the test only rarely misclassifies a sick person as being healthy. Note that this says nothing about the tendency of the test to mistakenly classify a healthy person as being sick.
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The Negative Predictive Value is defined as:
where a "true negative" is the event that the test makes a negative prediction, and the subject has a negative result under the gold standard, and a "false negative" is the event that the test makes a negative prediction, and the subject has a positive result under the gold standard.
The following diagram illustrates how the positive predictive value, negative predictive value, sensitivity, and specificity are related.
Condition (as determined by "Gold standard") |
||||
Condition Positive | Condition Negative | |||
Test Outcome |
Test Outcome |
True Positive | False Positive (Type I error) |
Positive predictive value = Σ True Positive Σ Test Outcome Positive
|
Test Outcome |
False Negative (Type II error) |
True Negative | Negative predictive value = Σ True Negative Σ Test Outcome Negative
|
|
Sensitivity = Σ True Positive Σ Condition Positive
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Specificity = Σ True Negative Σ Condition Negative
|
Note that the positive and negative predictive values can only be estimated using data from a cross-sectional study or other population-based study in which valid prevalence estimates may be obtained. In contrast, the sensitivity and specificity can be estimated from case-control studies.
If the prevalence, sensitivity, and specificity are known, the negative predictive value can be obtained from the following identity:
Suppose that a fecal occult blood (FOB) screen test is used in 2030 people to detect bowel cancer:
Patients with bowel cancer (as confirmed on endoscopy) |
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Condition Positive | Condition Negative | |||
Fecal Occult |
Test Outcome |
True Positive (TP) = 20 |
False Positive (FP) = 180 |
Positive predictive value
= TP / (TP + FP)
= 20 / (20 + 180) |
Test Outcome |
False Negative (FN) = 10 |
True Negative (TN) = 1820 |
Negative predictive value
= TN / (FN + TN)
= 1820 / (10 + 1820) |
|
Sensitivity
= TP / (TP + FN)
= 20 / (20 + 10) |
Specificity
= TN / (FP + TN)
= 1820 / (180 + 1820) |
In this setting, with NPV = 99.5%, a negative test result may provide some reassurance that the subject is unlikely to have cancer. This high NPV value would be particularly notable if the cancer were relatively common. For example, if 5% of people in the population had bowel cancer, then a NPV of 99.5% would indicate that a person with a negative test result has much lower than the average population risk for bowel cancer. However if the prevalence of bowel cancer were 0.5%, a negative test result in this setting would be uninformative.
Although sometimes used synonymously, a negative predictive value generally refers to what is established by control groups, while a negative post-test probability rather refers to a probability for an individual. Still, if the individual's pre-test probability of the target condition is the same as the prevalence in the control group used to establish the negative predictive value, then the two are numerically equal.
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リンク元 | 「陰性的中率」「特異度」「感度」 |
関連記事 | 「value」「negative」「valued」「predictive」 |
疾患あり | 疾患なし | |
検査陽性 | a 真陽性 |
b 偽陽性 |
検査陰性 | c 偽陰性 |
d 真偽性 |
陰性的中率 = d / ( c + d )
疾患あり | 疾患なし | |
検査陽性 | a 真陽性 |
b 偽陽性 |
検査陰性 | c 偽陰性 |
d 真偽性 |
Sp= d / ( b + d )
疾患あり | 疾患なし | |
検査陽性 | a 真陽性 |
b 偽陽性 |
検査陰性 | c 偽陰性 |
d 真偽性 |
Sn= a / ( a + c )
.