I have plotted scattered plot of the classic vs GMAT FE. The scatter plot for the Quant section of the Old GMAT and the GMAT FE do reveal some noteworthy differences that can provide insights into the "toughness" level of the tests and how they distinguish between test-takers. Here are some key points to consider:
Scoring Mechanics and Distinguishing Toppers:
Old GMAT : The percentile jumps significantly within a narrow score range (especially around scores 48-51). This implies that the Old GMAT Quant section may not effectively distinguish between toppers, as many end up clustered around the same percentile. It might also suggest that scoring incrementally higher becomes increasingly challenging.
GMAT FE : The percentile appears to increase more linearly with the Quant score, which suggests a more uniform distribution of test-takers across percentiles. This makes it easier to differentiate between high scorers, as the percentile more accurately reflects the score.
Insights into Toughness:
Uniformity in GMAT FE: The more linear and uniform percentile distribution in the GMAT FE suggests that the test might be designed to be more balanced across its scoring range. This could mean that it's less "tough" to move from a low percentile to a moderately high percentile.
High-Scoring Zone: Given that the Old GMAT had a clustering effect at the top percentiles, it might have been more difficult to break into the very top percentiles due to the finer granularity of scores within that range. On the other hand, the GMAT FE, with its more linear percentile distribution, may offer a clearer path to achieving a high percentile, provided one can secure the corresponding high score.
Ceiling Effect: The Old GMAT exhibits a strong ceiling effect, where a slight increase in score could result in a large percentile jump. This could make it "tougher" to score high as you would need to clear a higher bar to distinguish yourself. The GMAT FE seems to mitigate this issue to some extent.
Differential Scoring Impact: In the Old GMAT, given the tight clustering of top percentiles, even a one-point increase could have a disproportionately high impact. In the GMAT FE, a more balanced scoring system might mean that each point increase has a more uniform impact on your percentile ranking.
Final Thoughts:
The GMAT FE seems to provide a more balanced and differentiated scoring system, potentially making it "easier" to distinguish yourself if you are a high scorer. However, the term "toughness" could be relative; the GMAT FE might be less forgiving of mistakes for those aiming for the very top percentiles, given the more linear percentile-to-score relationship.