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This is called the technical replicate, and it is done in triplicate because it is the minimum number to have a standard deviation. This way you ensure that your technique gives the same result each time you test the same sample.
It might be tempting to run each sample in only a single well, but running samples in duplicate allows for the calculation of sample variation (CV), and thus provides a measure of the precision of the assay.
Using replicates offers three major advantages: Replicates can be used to measure variation in the experiment so that statistical tests can be applied to evaluate differences. Averaging across replicates increases the precision of gene expression measurements and allows smaller changes to be detected.
Duplicate means to make an exact copy and can also be used as an adjective and a noun. Replicate means to reproduce something, and can also be used as an adjective and a noun.
A sample replicate is a random subset of the entire available sample (i.e. sampling pool) that has been drawn for a particular survey. Sometimes survey organizations make better progress than expected in processing their samples, whereas other times they make worse progress.
adjective. Having three copies. Triple. Threefold. Supplement. Triplicates in scientific experiments are important to validate empirical data or the observed results. In general, a research plan entails three replicates so that the results obtained from them can be verified.
Why did you assay your samples in triplicate? Assaying the samples in triplicate is another form of control. If you do not get the same result in all three wells you have a problem with your experimental technique, or you have made a pipetting error. In a clinical laboratory, the experiment would have to be repeated.
Replicates are multiple experimental runs with the same factor settings (levels). Replicates are subject to the same sources of variability, independently of each other. The design of an experiment includes a step to determine the number of replicates that you should run.

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