In: Math
Evaluate the differences between dependent and independent samples. Would our random samples need to come from the same "overall" population?
Two samples are independent if the sample values selected from one population are not related or somehow paired or matched with the sample valuess selectedf from the other population. Two samples are dependent(or consist of matched pairs if the members of one sample can be used to determine the members of the other sample.
Tricks: The words like dependent, repeated, before and after,
matched pairs, paired and so on are hints for dependent samples. In
addition, if a row or a
column in a chart of a question titled as subject such as “person”
or “employee”, it tells you that the samples are dependent.
In data collection, every individual observation has equal probability to be selected into a sample. In random sampling, there should be no pattern when drawing a sample.
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population. If for some reasons, the sample does not represent the population, the variation is called a sampling error.
Hence random sample needs to be come from same overall population