I'm planning to analyze sleep quality using Pittsburgh Sleep Questionnaire Index (PSQI) score and assessing insomnia severity using Insomnia Severity Index (ISI).

I've seen at least three dozen publications using mean and SD to describe both. The question is: - is it actually possible to describe PSQI and ISI in a population using mean and SD?

For what I mean, lets take example from NIH Stroke Scale for stroke;

NIHSS = 4 means "mild stroke", but it's not only can be interpreted as "alert patient with partial gaze palsy with drifting left arm and left leg" but also "alert patient with limb ataxia and gaze palsy". Does this apply for PSQI and ISI?

Anyone can help?

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