“…An early attempt to mitigate this relationship was to transform the TTR value by using the square root of the number of tokens in the denominator (Guiraud, 1960). Although this index, commonly referred to as Root TTR or Guiraud’s index, gained a reputation as an appropriate substitute for TTR and is still used fairly widely (Bulté & Housen, 2019; Lambelet, 2021), studies have repeatedly shown that it strongly overcorrects TTR’s negative relationship with text length (e.g., Koizumi & In’nami, 2012; McCarthy & Jarvis, 2010; Zenker & Kyle, 2021). One possible reason for the durability of Root TTR in the field is that it tends to demonstrate a relatively strong relationship with proficiency, and it is certainly an improvement over TTR because it is positively correlated with text length and therefore does not penalize longer essays (see Bulté & Roothooft, 2020; Treffers-Daller et al, 2018).…”