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Which of the following best describes a matched pairs experiment?Group of answer choicesA matched pairs experiment effectively doubles the sample size.A matched pairs experiment is a special case of the completely randomised design.A matched pairs experiment means that the samples are independent.An experiment in which the observations are selected randomly and independently.

Question

Which of the following best describes a matched pairs experiment?Group of answer choicesA matched pairs experiment effectively doubles the sample size.A matched pairs experiment is a special case of the completely randomised design.A matched pairs experiment means that the samples are independent.An experiment in which the observations are selected randomly and independently.

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Solution

A matched pairs experiment is a specific type of experimental design. Here are the steps to evaluate each statement:

  1. A matched pairs experiment effectively doubles the sample size: This is incorrect. In a matched pairs experiment, each subject (or pair of subjects) is exposed to both treatments, but this does not double the sample size. The sample size is the number of pairs, not the number of treatments given.

  2. A matched pairs experiment is a special case of the completely randomised design: This is partially correct. A matched pairs design can be seen as a special case of a randomized block design, where each block consists of a pair of matched subjects. However, it's not a completely randomised design because the pairing of subjects introduces a level of control over variability.

  3. A matched pairs experiment means that the samples are independent: This is incorrect. In a matched pairs design, the samples are dependent because the same subjects (or matched subjects) are used for each treatment.

  4. An experiment in which the observations are selected randomly and independently: This is incorrect. In a matched pairs design, observations are not independent because the same or matched subjects are used for each treatment.

So, the best description of a matched pairs experiment is: "A matched pairs experiment is a special case of the completely randomised design." However, it's important to note that the pairing of subjects introduces a level of control over variability, making it not completely random.

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