What does standard error mean?
Definitions for standard error
stan·dard error
This dictionary definitions page includes all the possible meanings, example usage and translations of the word standard error.
Wiktionary
standard errornoun
A measure of how spread out data values are around the mean, defined as the square root of the variance.
Wikidata
Standard error
The standard error is the standard deviation of the sampling distribution of a statistic. The term may also be used to refer to an estimate of that standard deviation, derived from a particular sample used to compute the estimate. For example, the sample mean is the usual estimator of a population mean. However, different samples drawn from that same population would in general have different values of the sample mean. The standard error of the mean is the standard deviation of those sample means over all possible samples drawn from the population. Secondly, the standard error of the mean can refer to an estimate of that standard deviation, computed from the sample of data being analyzed at the time. In practical applications, the true value of the standard deviation is usually unknown. As a result, the term standard error is often used to refer to an estimate of this unknown quantity. In such cases it is important to be clear about what has been done and to attempt to take proper account of the fact that the standard error is only an estimate. Unfortunately, this is not often possible and it may then be better to use an approach that avoids using a standard error, for example by using maximum likelihood or a more formal approach to deriving confidence intervals. One well-known case where a proper allowance can be made arises where Student's t-distribution is used to provide a confidence interval for an estimated mean or difference of means. In other cases, the standard error may be used to provide an indication of the size of the uncertainty, but its formal or semi-formal use to provide confidence intervals or tests should be avoided unless the sample size is at least moderately large. Here "large enough" would depend on the particular quantities being analyzed.
Numerology
Chaldean Numerology
The numerical value of standard error in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of standard error in Pythagorean Numerology is: 2
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"standard error." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/standard+error>.
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