Emergency (****); * (*): *-*


  
  
 
  

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87 Emergency (2015); 3 (3): 87-88 

EDUCATIONAL 
 

 

Evidence Based Emergency Medicine 

Part 2: Positive and negative predictive values of diagnostic tests  
 

Saeed Safari1, Alireza Baratloo1, Mohamed Elfil2, Ahmed Negida3*  
 

1. Emergency Department, Shohadaye Tajrish Hospital, Shahid Beheshti University of Medical Sciences, Tehran, Iran. 
2. Faculty of medicine, Alexandria University, Alexandria, Egypt. 

3. Faculty of medicine, Zagazig University, Zagazig, Egypt. 
 
 

*Corresponding Author: Ahmed Negida; Faculty of Medicine, Zagazig University, El-Kanayat, El-Sharkia, Zagazig, Egypt. Tel: +201125549087;  
Email: ahmed01251@medicine.zu.edu.eg 
Received: June 2015; Accepted: June 2015 

 
 

Introduction: 
n volume 3, number 2, pages 48-49, we explained 
some screening characteristics of a diagnostic test in 
an educational manuscript entitled “Simple defini-

tion and calculation of accuracy, sensitivity and specific-
ity" (1). The present article was aimed to review other 
screening performance characteristics including posi-
tive and negative predictive values (PPV and NPV). PPV 
and NPV are true positive and true negative results of a 
diagnostic test, respectively (2). In other words, if a sub-
ject receives a certain diagnosis by a test, predictive val-
ues describe how likely it is for the diagnosis to be cor-
rect 
Definitions: 
Patient: positive for disease 
Healthy: negative for disease 
True positive (TP)= the number of cases correctly iden-
tified as patient  
False positive (FP) = the number of cases incorrectly 
identified as patient  
True negative (TN) = the number of cases correctly 
identified as healthy 
False negative (FN) = the number of cases incorrectly 
identified as healthy  
Positive predictive value:  
Positive predictive value is the proportion of cases giv-
ing positive test results who are already patients (3). It 
is the ratio of patients truly diagnosed as positive to all 
those who had positive test results (including healthy 
subjects who were incorrectly diagnosed as patient). 
This characteristic can predict how likely it is for some-
one to truly be patient, in case of a positive test result. 

Positive predictive value= 
FPTP

TP


 

Negative predictive value:  
Negative predictive value is the proportion of the cases 
giving negative test results who are already healthy (3). 

It is the ratio of subjects truly diagnosed as negative to 
all those who had negative test results (including pa-
tients who were incorrectly diagnosed as healthy). This 
characteristic can predict how likely it is for someone to 
truly be healthy, in case of a negative test result. 

Negative predictive value= 
FNTN

TN


 

Predictive values and the prevalence of the disease: 
Since the ratio includes both healthy and patient subjects, 
predictive values are affected by the prevalence of the dis-
ease and can differ from one setting to another for the 
same diagnostic test. The lower the prevalence of the dis-
ease, the higher its negative predictive value. On the other 
hand, the higher the prevalence of the disease, the higher 
the positive predictive value. For solving these problems, 
positive and negative likelihood ratios were developed, 
which will be introduced and discussed in part three of 
EBM series articles of Emergency.  
Examples: 
Example 1: Imagine we have a sample population of 100 
people, 50 healthy and the others patients. If the test was 
positive for 75 people of this population, the PPV and 
NPV of test are as follows:  
PPV: 50/75 = 0.66 or 66.6%. This means that in this pop-
ulation, 66.6% of people whose test result is positive, 
have the disease. 
NPV: 25/25 = 100%. This means that in this population, 
100% of the people whose test result is negative, are 
healthy (Figure 1). 

I 

 
Figure 1: A schematic presentation of an example test with 
66.6% PPV, and 100% NPV. 

 



 

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Safari et al 88 

Example 2: In a study by Aminiahidashti et al. (4), out of 
a total population of 80 cirrhotic patients, 21 (26%) had 
opaque ascites fluid appearance (Figure 2). 15 people 
out of the 21 had spontaneous bacterial peritonitis 
(SBP). 
Question: Please calculate sensitivity, specificity, accu-
racy, PPV, and NPV of opaque ascites fluid in prediction 
of SBP if the total number of SBP patients was 40 cases 
(50%). 
Answer: Considering the total number of 40 patients 
and 15 TP cases, there were 25 cases of FN. In addition, 
total number of negative test was equal to 59. Therefore, 
number of TN cases: 59 – 25 = 34. 
Based on the above-mentioned calculations, screening 
performance characteristics of ascites fluid appearance 
in prediction of SBP are as follows: 
Sensitivity: 15/40 = 37.5% 
Specificity: 34/40 = 85% 
Accuracy: (15 + 34) / 80 = 61.2% 
PPV: 15/21= 71.4% 
NPV: 34/59 = 57.6% 

Example 3: In the Haghighi et al. study (5), out of the 130 
patients, 13 already had traumatic lens dislocation and 
117 were healthy. However, ultrasonography was posi-
tive for lens dislocation in 13 cases, while 2 cases were 
FP (Figure 3). 

Question: Please calculate sensitivity, specificity, accu-
racy, PPV, and NPV of ultrasonography in detection of 
traumatic lens dislocation. 
Answer: Considering the total number of 13 patients 
and 2 FP cases, there were 11 TP cases. 
Screening performance characteristics of ultrasonogra-
phy in prediction of traumatic lens dislocation are as fol-
lows: 
Sensitivity: 11/13 = 84.6% 
Specificity: 115/117 = 98.3% 
Accuracy: (11 + 115) / 130 = 96.9% 
PPV: 11/13 = 84.6% 
NPV: 115/117 = 98.3% 
References:  
1. Baratloo A, Hosseini M, Negida A, El Ashal G. Part 1: Simple 
Definition and Calculation of Accuracy, Sensitivity and 
Specificity. Emergency. 2015;3(2): 48-9. 
2. Fletcher RH, Fletcher SW, Fletcher GS. Clinical epidemiology: 
the essentials: Lippincott Williams & Wilkins; 2012. p: 127. 
3. Altman DG, Bland JM. Statistics Notes: Diagnostic tests 2: 
predictive values. BMJ. 1994;309(6947):102. 
4. Aminiahidashti H, Hosseininejad SM, Montazer H, Bozorgi F, 
Jahanian F, Raee B. Diagnostic Accuracy of Ascites Fluid Gross 
Appearance in Detection of Spontaneous Bacterial Peritonitis. 
Emergency. 2014;2(3): 138-40. 
5. Haghighi SHO, Begi HRM, Sorkhabi R, et al. Diagnostic 
Accuracy of Ultrasound in Detection of Traumatic Lens 
Dislocation. Emergency. 2014;2(3): 121-4.

 

 

Figure 3: A schematic presentation of the example 3. 

 
 Lens dislocation 

Total 
 Positive Negative 
Ultrasonography    

Positive TP = 11 FP = 2 13 
Negative FN = 2 TN = 115 117 
Total 13 117 130 

 

Figure 2: A schematic presentation of the example 2. 
 

 SBP 
Total 

 Positive Negative 
Ascites fluid appearance    

Positive TP = 15 FP = 6 21 
Negative FN = 25 TN = 34 59 
Total 40 40 80