Leodis
Gelding
## Recommendation
Compare the median to the **mean**, not the midpoint.
### Why
- **Mean vs median** indicates skew and influence of extreme ORs (very high or low ratings), which matters for competitiveness.
- **Midpoint (min+max)/2** reflects only the two extremes and can be misleading if one outlier OR exists.
### How to use it (practical steps)
1. Compute median of the ORs.
2. Compute mean of the ORs.
3. Compare:
- If mean ≈ median → distribution roughly symmetric → field likely balanced.
- If mean > median → right-skew (a few high-rated horses) → competitiveness tilted toward top horses.
- If mean < median → left-skew (a few low-rated horses) → competitiveness tilted toward weaker entries.
4. Also report spread: compute standard deviation and min/max or interquartile range (IQR). Larger spread → less balanced.
### Quick thresholds (optional)
- Median vs mean difference > 0.5–1 OR point suggests noticeable skew; adjust threshold to your domain knowledge.
If you want, provide a list of ORs and I’ll compute median, mean, midpoint, SD, IQR and give an interpretation.
Compare the median to the **mean**, not the midpoint.
### Why
- **Mean vs median** indicates skew and influence of extreme ORs (very high or low ratings), which matters for competitiveness.
- **Midpoint (min+max)/2** reflects only the two extremes and can be misleading if one outlier OR exists.
### How to use it (practical steps)
1. Compute median of the ORs.
2. Compute mean of the ORs.
3. Compare:
- If mean ≈ median → distribution roughly symmetric → field likely balanced.
- If mean > median → right-skew (a few high-rated horses) → competitiveness tilted toward top horses.
- If mean < median → left-skew (a few low-rated horses) → competitiveness tilted toward weaker entries.
4. Also report spread: compute standard deviation and min/max or interquartile range (IQR). Larger spread → less balanced.
### Quick thresholds (optional)
- Median vs mean difference > 0.5–1 OR point suggests noticeable skew; adjust threshold to your domain knowledge.
If you want, provide a list of ORs and I’ll compute median, mean, midpoint, SD, IQR and give an interpretation.