Researchers have theoretically demonstrated that classical readability formulas, such as the Flesch-Kincaid Grade Level, can be interpreted as measures of surprisal. These formulas, previously lacking a connection to cognitive science metrics, can be understood as sums of per-word and per-sentence cross-entropies under a memoryless model. By linking this model to Zipf's law and considering the formula's linearization, the coefficients can be seen as representing surprisal in units of grades per nat. This interpretation suggests that a grade level corresponds to a year of vocabulary growth, aligning with empirical measurements of vocabulary development. AI
RANK_REASON Academic paper detailing a theoretical interpretation of existing readability formulas. [lever_c_demoted from research: ic=1 ai=0.4]
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