## Data Table: Answer Comparison Metrics (LM: Gemma-7B)
### Overview
The image presents a comparative analysis of four answers to the question: "The behavior of sound in rooms and concert halls is a separate science. What is its name?" The table evaluates the performance of each answer using metrics such as Rouge-1, Max Prob, Avg Prob, Max Ent, Avg Ent, Gb-S, Wb-S, Bb-S, SU, and Ask4-conf. The reference answer ("Acoustics") is highlighted as the correct response, while the greedy answer ("Acoustical") and two other answers ("Acoustical Engineering" and "Acoustics") are compared against it.
### Components/Axes
- **Rows**:
- Ref answer (Acoustics)
- Greedy answer (Acoustical)
- Answer 1 (Acoustical Engineering)
- Answer 2 (Acoustics)
- **Columns**:
- Rouge-1
- Max Prob
- Avg Prob
- Max Ent
- Avg Ent
- Gb-S
- Wb-S
- Bb-S
- SU
- Ask4-conf
### Detailed Analysis
- **Ref answer (Acoustics)**:
- Rouge-1: 1.00 (perfect match)
- Max Prob: 0.45
- Avg Prob: 0.96
- Max Ent: 0.86
- Avg Ent: 0.88
- Gb-S: 0.64
- Wb-S: 0.73
- Bb-S: 0.93
- SU: N/A
- Ask4-conf: N/A
- **Greedy answer (Acoustical)**:
- Rouge-1: 0.00
- Max Prob: 0.41
- Avg Prob: 0.95
- Max Ent: 0.79
- Avg Ent: 0.84
- Gb-S: 0.50
- Wb-S: 0.51
- Bb-S: 0.29
- SU: 0.28
- Ask4-conf: 1.00
- **Answer 1 (Acoustical Engineering)**:
- Rouge-1: 0.00
- Max Prob: 0.28
- Avg Prob: 0.94
- Max Ent: 0.79
- Avg Ent: 0.83
- Gb-S: 0.39
- Wb-S: 0.44
- Bb-S: 0.33
- SU: N/A
- Ask4-conf: N/A
- **Answer 2 (Acoustics)**:
- Rouge-1: 0.00
- Max Prob: 0.04
- Avg Prob: 0.86
- Max Ent: 0.69
- Avg Ent: 0.80
- Gb-S: 0.16
- Wb-S: 0.25
- Bb-S: 0.39
- SU: N/A
- Ask4-conf: N/A
### Key Observations
1. **Reference Answer Dominance**: The reference answer ("Acoustics") achieves the highest scores across all metrics, including a perfect Rouge-1 score (1.00) and the highest Avg Prob (0.96).
2. **Greedy Answer Performance**: The greedy answer ("Acoustical") has a Rouge-1 of 0.00 but retains relatively high Avg Prob (0.95) and Avg Ent (0.84), suggesting partial relevance.
3. **Answer 1 and 2 Deficits**: Both "Acoustical Engineering" and "Acoustics" (Answer 2) score 0.00 in Rouge-1, with Answer 2 having the lowest Max Prob (0.04) and Avg Prob (0.86).
4. **Ask4-conf Anomaly**: The greedy answer has a perfect Ask4-conf score (1.00), indicating high confidence in its incorrectness, while the reference answer lacks this metric.
### Interpretation
The data demonstrates that the reference answer ("Acoustics") is the most accurate and relevant, as evidenced by its superior performance in all metrics. The greedy answer ("Acoustical") is a close but less precise alternative, while the other answers are significantly less accurate. The Ask4-conf score for the greedy answer highlights a potential flaw in the model's confidence calibration, as it assigns high confidence to an incorrect response. This underscores the importance of metric diversity in evaluating answer quality, as no single metric fully captures correctness.
