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# Why proportional reduction in error important?

Updated: 9/18/2023

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Q: Why proportional reduction in error important?
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### How does sample size affect the size of your standard error?

The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.

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A constant error is something that does not change as the variable you are observing changes. For example, a set of scales that are always 0.3kg off. No matter who is standing on them, they will always get a reading that is 0.3kg greater than their actual mass. A proportional error changes as the variable you are observing changes, but more importantly it changes in a way that can be predicted.

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Yes

Important

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