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What is Paired Data? (Explanation & Examples) by Zach Bobbitt December 10, 2020. When two datasets are of equal length and each observation in one dataset can be “paired” with an observation in another dataset, we call this paired data.
Paired data in statistics, often referred to as ordered pairs, refers to two variables in the individuals of a population that are linked together in order to determine the correlation between them.
A paired samples t-test is used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample. This tutorial explains the following: The motivation for performing a paired samples t-test. The formula to perform a paired samples t-test. The assumptions that should be met to perform ...
When two datasets are of equal length and each observation in one dataset can be “paired” with an observation in another dataset, we call this paired data. In order for two datasets to be paired, it’s important that each observation in one dataset can only be paired with one observation in the other dataset.
Paired data. Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set. To analyze paired data, it is often useful to look at the difference in outcomes of each pair of observations.
Paired samples (also called dependent samples) are samples in which natural or matched couplings occur. This generates a data set in which each data point in one sample is uniquely paired to a data point in the second sample. Examples of paired samples include: .
When using a hypothesis test for matched or paired samples, the following characteristics should be present: Simple random sampling is used. Sample sizes are often small. Two measurements (samples) are drawn from the same pair of individuals or objects. Differences are calculated from the matched or paired samples.
With paired samples, the observations in the two groups are matched in a meaningful way. Most often this occurs when data are collected twice from the same participants, such as in a pre-test / post-test design.
Analysis of Paired Data (Section. 10.3) Coffee & Blood Flow During Exercise. Doctors studying healthy men measured myocardial blood flow (MBF)1 during bicycle exercise after giving the subjects a placebo or a dose of 200 mg of caffeine that was equivalent to drinking two cups of coffee2.
Hypothesis Tests for Paired Data. Paired data cannot be analyzed like 2-sample data since the 2 measurements on the same subject are dependent. Nonetheless, if we can safely assume measurements on different pairs to be independent, we can take differences of the two measurements within each pair and analyze the differences like one-sample data.