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Paired Comparision Tests - Mean Differences When Populations are Not Independent

In the above cases, we assumed that the samples are independent. However, sometimes the samples may not be independent.

If the samples are not independent, a test of mean difference is done using paired observations. Such a test is called paired comparison test.

  1. H0: µd = µd0 versus HA: µd ≠ µd0
  2. H0: µd ≤ µd0 versus HA: µd > µd0
  3. H0: µd ≥ µd0 versus HA: µd < µd0
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Tests Concerning Differences in Means

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Hypothesis Tests Concerning Variances

01
What is Hypothesis Testing
02
Test Statistic, Type I and type II Errors, and Significance Level
03
Decision Rule in Hypothesis Testing
04
p-Value in Hypothesis Testing
05
Selecting the Appropriate Test Statistic
06
Hypothesis Testing with t-statistic
07
Hypothesis Testing with z-statistic
08
Tests Concerning Differences in Means
09
Paired Comparision Tests - Mean Differences When Populations are Not Independent
10
Hypothesis Tests Concerning Variances
11
Chi-square Test – Test for value of a single population variance
12
F-test - Test for the Differences Between Two Population Variances
13
Non-parametric Tests

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Statistical Methods

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Hypothesis Testing

Study Notes for Hypothesis Testing

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