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##### Asked by: Rajni Bosch

science physics# What is the standard error of the difference?

Last Updated: 25th February, 2020

**standard error**for the

**difference**between two means is larger than the

**standarderror**ofeither mean. It quantifies uncertainty. The uncertaintyof the

**difference**between two means is greater than theuncertaintyin either mean. So the SE of the

**difference**isgreater thaneither SEM, but is less than their sum.

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Also, how do you calculate the standard error of the difference?

**Calculating Standard Error** oftheMean The **formula** for the SD requires a fewsteps:First, take the square of the **difference** between eachdatapoint and the sample mean, finding the sum of those values.Then,divide that sum by the sample size minus one, which isthevariance.

Likewise, how does mean difference differ to difference between two means? The **mean difference**, or **difference**in**means**, measures the absolute **difference between**the**mean** value in **two different** groups. Inclinicaltrials, it gives you an idea of how much **difference**there is**between** the averages of the experimental group andcontrolgroups.

Subsequently, one may also ask, what is the standard error of the mean?

Put simply, the **standard error** of thesample**mean** is an estimate of how far the sample **mean**islikely to be from the population **mean**, whereasthe**standard deviation** of the sample is the degree towhichindividuals within the sample differ from thesample**mean**.

What does a standard error of 2 mean?

**Standard Error** of the **Mean** (1 of**2**)The formula shows that the larger the sample size, thesmaller the**standard error** of the **mean**. Morespecifically, thesize of the **standard error** of the**mean** is inverselyproportional to the square root of thesample size.