## Table: Answer Comparison Metrics for Musical Question ### Overview This table compares the performance of different answers to the question: *"Which musical featured the songs A Secretary is Not A Toy, and The Company Way?"* Metrics include Rouge-1, probability distributions (Max/Avg), entropy (Max/Avg), and other evaluation scores (Gb-S, Wb-S, Bb-S, SU, Ask4-conf). The reference answer is highlighted as the correct response, while the greedy answer and two alternative answers are evaluated against it. ### Components/Axes - **Headers**: - Rouge-1 - Max Prob - Avg Prob - Max Ent - Avg Ent - Gb-S - Wb-S - Bb-S - SU - Ask4-conf - **Rows**: - **Ref answer** (Reference Answer) - **Greedy answer** - **Answer 1** - **Answer 2** - **Annotations**: - Question and reference answer are highlighted in a yellow box. - Greedy answer is marked with a robot icon and labeled "Greedy answer" in red. - Answer 1 and Answer 2 are labeled with robot icons. ### Detailed Analysis | Metric | Ref answer | Greedy answer | Answer 1 | Answer 2 | |--------------|------------|---------------|----------|----------| | Rouge-1 | 1 | 0 | 1 | 0 | | Max Prob | 0.12 | 0.12 | 0.08 | 0.01 | | Avg Prob | 0.96 | 0.9 | 0.93 | 0.78 | | Max Ent | 0.43 | 0.37 | 0.43 | 0.37 | | Avg Ent | 0.93 | 0.82 | 0.94 | 0.6 | | Gb-S | 0.23 | 0.09 | 0.14 | 0.08 | | Wb-S | 0.33 | 0.14 | 0.22 | 0.13 | | Bb-S | - | 0.33 | - | - | | SU | - | 0.08 | - | - | | Ask4-conf | - | 0 | - | - | ### Key Observations 1. **Reference Answer Dominance**: - Rouge-1 = 1 (perfect match) and Avg Prob = 0.96 (highest probability). - Max Prob = 0.12 (tied with greedy answer but outperforms others). 2. **Greedy Answer Limitations**: - Rouge-1 = 0 (no match) but shares Max Prob = 0.12 with the reference answer. - Avg Prob = 0.9 (lower than reference) and Avg Ent = 0.82 (higher entropy, indicating less confidence). 3. **Answer 1 vs. Answer 2**: - Answer 1 matches Rouge-1 = 1 but has lower Max Prob (0.08) and Avg Prob (0.93) compared to the reference. - Answer 2 has the lowest Avg Prob (0.78) and Avg Ent (0.6), indicating poor performance. 4. **Anomalies**: - Bb-S and SU scores are only populated for the greedy answer and Answer 1, suggesting these metrics may not apply to all answers. - Ask4-conf = 0 for the greedy answer, implying no confidence in its correctness. ### Interpretation The table demonstrates that the **reference answer** ("How to Succeed in Business Without Really Trying") is the most accurate and confident response, as evidenced by its perfect Rouge-1 score and highest average probability. The **greedy answer** ("The Pajama Game") fails to match the reference but shares some probability metrics, likely due to partial overlap in keywords. **Answer 1** ("How to Succeed In Business Without Really Trying") is a close variant of the reference but has slightly lower confidence metrics. **Answer 2** ("The Company Way") performs worst across all metrics, confirming it as the least relevant. The data highlights the importance of precise keyword matching (Rouge-1) and probabilistic confidence (Avg Prob) in evaluating answer quality. The greedy answer’s high entropy (Avg Ent = 0.82) suggests it is less certain, while the reference answer’s low entropy (0.93) reflects higher confidence. The absence of Bb-S and SU scores for some answers may indicate limitations in the evaluation framework or incomplete data.