The independence condition states that for statistical inference methods to be valid, observations must be independent of each other. In other words, knowing the outcome or value of one observation should not provide any information about another observation.
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Cluster Sampling: Cluster sampling involves dividing the population into clusters and randomly selecting entire clusters as samples rather than individual elements within those clusters.
Systematic Sampling: Systematic sampling involves selecting every kth element from a list or sequence after starting at a random point.
Observational Study: An observational study is a type of study where researchers observe and measure individuals without intervening or manipulating any variables. The independence condition is important in ensuring the validity of the results obtained from observational studies.