what does it mean when sampling is done without replacement?
What does it mean when sampling is done without replacement?
Answer:
When sampling is done without replacement, it means that once an item is selected from a population for the sample, it is not put back into the population. In other words, each selected item is only included in the sample once.
This type of sampling is commonly used in statistics and research studies to ensure the accuracy and representativeness of the sample. It allows for a more realistic representation of the population because as items are selected for the sample, they are removed from the pool of available items for future selections.
Without replacement sampling reduces the likelihood of selecting the same item multiple times and skewing the results. This method is particularly useful when the population being sampled is relatively small or when the order of selection is important.
It’s important to note that without replacement sampling can affect the calculations of probabilities and statistics, as each selection reduces the size of the population and changes the probability of subsequent selections. Researchers and statisticians take this into account when analyzing the data obtained from a sample drawn without replacement.