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Lecture

# Sept 13.docx

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Department
Statistics
Course Code
STAT 1770
Professor
John Sheriff

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Sept 13, 2013 Chapter 2, Section 2, Pages 18-29 Evidence of an Association (Dependence) • Two variables have an association, or relationship, if a particular value for one  variable is more likely to occur with certain values of the other variable. (i.e The  distribution of one variable is not the same for all categories of the variable) o If a pregnant woman who consumes >200 mg of caffeine is more likely o  have a miscarriage than woman consuming less caffeine, that is going to  suggest an association. • Two variables have an association, or relationship, if two or more rows in the  contingency table have different distributions of row percentages, or equivalently  if two or more columns have different distributions of column percentages (i.e the  conditional distributions are not the same) Admission to Magnet Schools (Exercise 2.15, 2.16) • AN article in the Winter 2003 issue of Chance magazine on the Houston  Independent School District’s magnet school programs. Of the 1755 qualified  applicants, 931 were accepted, 298 were waist listed and 526 were turned away  for lack of space. Find the relative frequency of distribution of the decisions  made, and write a sentence describing it.  o 931/1755 = .530, 298/1755 = .170 , 526/1755 = .30  relative frequency is percentage of each category. o Among the 1755 qualified applicants, 53% were accepted, 17% were wait­ listed and 30% were turned away due to lack of space.
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