In many educational and developmental applications, however, much smaller language samples are typically used and in some cases such as early language development, language delay, early writing development or writing in a foreign language, often only very small samples are available. The method developed for vocd, then, builds on previous theoretical analyses, notably by Brainerd (1982) and in particular Sichel (1986), which model the TTR versus token curve mathematically with reasonable accuracy for relatively small language samples of up to a few thousand tokens. Unfortunately neither Brainerd’s nor Sichel’s model is mathematically simple and both need two parameters to describe an individual’s lexical diversity..
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