Biostatistics Lecture 4

# Biostatistics Lecture 4 - Math 316 Section 3.4 Density...

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Math 316 Section 3.4 Density Curves Recall histograms: For a numerical outcome such as weight or height (rather than a categorical outcome such eye color or gender), we can divide up the outcomes into ranges of values. The more the numerical ranges (the smaller the ranges), the smoother the histogram becomes. The smooth curve is the density curve (or probability density curve or probability density function). See Book Example 3.4.1 and Figure 3.4.1. (Also: example of flipping coins.) The area under the curve between two points is the fraction of all of the data in that range. (Note that the total area under the curve is ____ since _______% of all of the data is somewhere under the curve.) Similarly, the area under the curve between two points is the probability that any given data value is within that range. See Book Figures 3.4.2 and 3.4.3. See Book Example 3.4.2 and Figure 3.4.4, and Book Example 3.4.3. So 42% of the women have a blood glucose level between 100 and 150 mg/dl, that is, the probability of a particular woman having blood glucose level between 100 and 150 is .42.

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