Matched Pairs Test

1
Matched Pairs Test

• Section 11.2

2
Sodoku Anyone?

• I need some people who have never played
• Lets see if boys are better than girls.

3
Are Boys Better than Girls?
4
NewbiesDo your scores increase if I explain how
its scored?
5
Matched Pairs T-Test

• Matching subjects according to a characteristic
  for blocking purposes.
• Can be paired in before/after
• Screens out extraneous factors.
• Inferences can be based on the differences
  between the 2 observations in each sample pair.

6
Parameter of Interest
7
Assumptions

• Dependent (Paired) Random samples
• Approximately normal
• Use boxplot to show this
• (only 1 of the list of differences)

8
Test Statistic
9
An educator claims that a special vitamin will
increase a weight lifters strength. Eight
weight lifters are selected and given a test and
are tested again 2 weeks after the vitamin use.
Athelete 1 2 3 4 5 6 7 8
Before 210 230 182 205 262 253 219 216
After 219 236 179 204 270 250 222 216
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Confidence Interval
11
A dietitian wishes to see if a persons
cholesterol level will change if the diet is
supplemented by a mineral. Can it be concluded
that the cholesterol level has changed.
Construct a 90 confidence interval.
Subject 1 2 3 4 5 6
Before 210 235 208 190 172 244
After 190 170 210 188 173 228
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Homework

• Worksheet