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EDA stands for "Exploratory data analysis". Developed by Tukey to contrast with Confirmatory Data Analysis or CDA (the formal testing of hypotheses). EDA is typically concerned with describing data numerically and graphically to make the data easier to understand and to yield new insights.

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What to do with a small (27) medical dataset?

I agree with JMS, you will need to plot each of your variable first because PCA requires the normality assumption. If your variables are not normally distributed then it is not appropriate to use PCA …
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