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2. (To accompany Li's ?5.1, p.220)Probability Related to Statistics Although statistics and probability areclosely related fields of mathematics, they arenevertheless separate fields. It can be saidthat probability is the medium through whichstatistical work is done. In
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1. 1 Chapter 5 Presentation
2. 2 (To accompany Li’s §5.1, p.220)
Probability Related to Statistics
Although statistics and probability are
closely related fields of mathematics, they are
nevertheless separate fields. It can be said
that probability is the medium through which
statistical work is done. In fact, if it were not
for probability theory, inferential statistics
would not be possible.
3. 3 Put very briefly, probability is the field of
study that makes statements about what will
occur when samples are drawn from a known
population. Statistics is the field of study that
describes how samples are to be obtained
and how inferences are to be made about
unknown populations.
A simple but effective illustration of the
difference between these two subjects can be
made by considering how we treat the
contents of two boxes:
4. Box I contains three green balls, five red balls, and four white balls. Box II contains a collection of colored balls, but the exact number and colors of the balls is unknown. Box I Box II