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Standard Error of Difference of Means Formula

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Standard Error of Difference of Means is the standard deviation of the difference between sample means in two independent samples. Check FAQs

SE μ1-μ2 = \sqrt{(\frac{{σ X}^{2}}{N X(Error)}) + (\frac{{σ Y}^{2}}{N Y(Error)})}

SE_μ1-μ2 - Standard Error of Difference of Means?σ_X - Standard Deviation of Sample X?N_X(Error) - Size of Sample X in Standard Error?σ_Y - Standard Deviation of Sample Y?N_Y(Error) - Size of Sample Y in Standard Error?

Standard Error of Difference of Means Example

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Here is how the Standard Error of Difference of Means equation looks like with Values.

Here is how the Standard Error of Difference of Means equation looks like with Units.

Here is how the Standard Error of Difference of Means equation looks like.

1.5492 = \sqrt{(\frac{4^{2}}{20}) + (\frac{8^{2}}{40})}

1.5492 = \sqrt{(\frac{4^{2}}{20}) + (\frac{8^{2}}{40})}

1.5492 = \sqrt{(\frac{4^{2}}{20}) + (\frac{8^{2}}{40})}

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Standard Error of Difference of Means Solution

Follow our step by step solution on how to calculate Standard Error of Difference of Means?

FIRST Step Consider the formula

SE μ1-μ2 = \sqrt{(\frac{{σ X}^{2}}{N X(Error)}) + (\frac{{σ Y}^{2}}{N Y(Error)})}

Next Step Substitute values of Variables

∴

SE μ1-μ2 = \sqrt{(\frac{4^{2}}{20}) + (\frac{8^{2}}{40})}

Next Step Prepare to Evaluate

∴

SE μ1-μ2 = \sqrt{(\frac{4^{2}}{20}) + (\frac{8^{2}}{40})}

Next Step Evaluate

∴

SE μ1-μ2 = 1.54919333848297

LAST Step Rounding Answer

∴

SE μ1-μ2 = 1.5492

Standard Error of Difference of Means Formula Elements

Variables

Functions

Standard Error of Difference of Means

Standard Error of Difference of Means is the standard deviation of the difference between sample means in two independent samples.

Symbol: SE_μ1-μ2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Error of Difference of Means

Standard Deviation of Sample X

Standard Deviation of Sample X is the measure of how much the values in Sample X vary. It quantifies the dispersion of data points in Sample X around the mean of Sample X.

Symbol: σ_X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of Sample X

Size of Sample X in Standard Error

Size of Sample X in Standard Error is the number of individuals or items in Sample X.

Symbol: N_X(Error)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size of Sample X in Standard Error

Standard Deviation of Sample Y

Standard Deviation of Sample Y is the measure of how much the values in Sample Y vary. It quantifies the dispersion of data points in Sample Y around the mean of Sample Y.

Symbol: σ_Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of Sample Y

Size of Sample Y in Standard Error

Size of Sample Y in Standard Error is the number of individuals or items in Sample Y.

Symbol: N_Y(Error)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size of Sample Y in Standard Error

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Errors category

Go Residual Standard Error of Data given Degrees of Freedom

RSE Data = \sqrt{\frac{RSS (Error)}{DF (Error)}}

Go Standard Error of Data given Variance

SE Data = \sqrt{\frac{σ 2 Error}{N (Error)}}

Go Standard Error of Data

SE Data = \frac{σ (Error)}{\sqrt{N (Error)}}

Go Standard Error of Proportion

SEP = \sqrt{\frac{p \cdot (1 - p)}{N (Error)}}

How to Evaluate Standard Error of Difference of Means?

Standard Error of Difference of Means evaluator uses Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X in Standard Error)+((Standard Deviation of Sample Y^2)/Size of Sample Y in Standard Error)) to evaluate the Standard Error of Difference of Means, Standard Error of Difference of Means formula is defined as the standard deviation of the difference between sample means in two independent samples. Standard Error of Difference of Means is denoted by SE_μ1-μ2 symbol.

How to evaluate Standard Error of Difference of Means using this online evaluator? To use this online evaluator for Standard Error of Difference of Means, enter Standard Deviation of Sample X (σ_X), Size of Sample X in Standard Error (N_X(Error)), Standard Deviation of Sample Y (σ_Y) & Size of Sample Y in Standard Error (N_Y(Error)) and hit the calculate button.

FAQs on Standard Error of Difference of Means

What is the formula to find Standard Error of Difference of Means?

The formula of Standard Error of Difference of Means is expressed as Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X in Standard Error)+((Standard Deviation of Sample Y^2)/Size of Sample Y in Standard Error)). Here is an example- 1.549193 = sqrt(((4^2)/20)+((8^2)/40)).

How to calculate Standard Error of Difference of Means?

With Standard Deviation of Sample X (σ_X), Size of Sample X in Standard Error (N_X(Error)), Standard Deviation of Sample Y (σ_Y) & Size of Sample Y in Standard Error (N_Y(Error)) we can find Standard Error of Difference of Means using the formula - Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X in Standard Error)+((Standard Deviation of Sample Y^2)/Size of Sample Y in Standard Error)). This formula also uses Square Root (sqrt) function(s).

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Standard Error of Difference of Means Formula

Standard Error of Difference of Means Example

Standard Error of Difference of Means Solution

Standard Error of Difference of Means Formula Elements

Other formulas in Errors category

How to Evaluate Standard Error of Difference of Means?

FAQs on Standard Error of Difference of Means

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