An algorithm was designed to find globins in protein sequence databases. A database
which has 78 globin sequences was searched using this algorithm. The algorithm
retrieved 72 sequences of which only 65 were globins. The sensitivity of this
algorithm is
% (round off to 2 decimal places).
Official Answer Key:
83.30 to 83.40
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2020 Q.64)**
**1. Governing Concept & Definition**:
- **Topic**: Bioinformatics & Sensitivity/Recall of Search Algorithms
- Sensitivity (Recall) of a sequence search algorithm is defined as:
$\text{Sensitivity} = \frac{\text{True Positives (TP)}}{\text{Total Actual Positives (TP + FN)}} \times 100\%$
**2. Detailed Step-by-Step Calculation**:
- **Given**:
- Total actual globin sequences in database $= 78$ ($TP + FN = 78$)
- True positive globins identified by algorithm $= 65$ ($TP = 65$)
- **Sensitivity Calculation**:
$\text{Sensitivity} = \frac{65}{78} \times 100\% = \frac{5}{6} \times 100\% \approx 83.33\%$
**3. Final Answer**:
- **Calculated Value**: **83.33%**
- **Official GATE Accepted Range**: **83.30 to 83.40**
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