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Hypothesis testing on two means from dependent samples cannot be conducted using the same methods ...

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Hypothesis testing on two means from dependent samples cannot be conducted using the same methods ...

Hypothesis testing on two means from dependent samples cannot be conducted using the same methods appropriate for independent sample analysis. The main reason for this is because:

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there is no unbiased estimator that can be calculated from dependent samples.

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the variance of $\style{font-family:Times New Roman;}{{\overline X}_1-{\overline X}_2}$ must account for the dependence.

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the power of the estimation equation is no longer defined.

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sample averages can be calculated only from independent samples.

Textbook

Introductory Statistics: A Problem-Solving Approach

Edition: 3^rd

Author: Kokoska

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