Standard Error (Pooled) Calculator

✖Mean Square Error of an estimator measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the actual value.ⓘ Mean Square Error [MSE]			+10% -10%
✖Observations is the number of observations for any particular treatment.ⓘ Observations [n_t]			+10% -10%

✖Standard Error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.ⓘ Standard Error (Pooled) [E_std]

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Formula

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Standard Error (Pooled)

Formula

`"E"_{"std"} = ("MSE"^0.5)/"n"_{"t"}`

Example

`"0.041833"=(("0.7")^0.5)/"20"`

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Standard Error (Pooled) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Error = (Mean Square Error^0.5)/Observations
E_std = (MSE^0.5)/n_t
This formula uses 3 Variables

Variables Used

Standard Error - Standard Error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.
Mean Square Error - Mean Square Error of an estimator measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the actual value.
Observations - Observations is the number of observations for any particular treatment.

STEP 1: Convert Input(s) to Base Unit

Mean Square Error: 0.7 --> No Conversion Required
Observations: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_std = (MSE^0.5)/n_t --> (0.7^0.5)/20

Evaluating ... ...

E_std = 0.0418330013267038

STEP 3: Convert Result to Output's Unit

0.0418330013267038 --> No Conversion Required

FINAL ANSWER

0.0418330013267038 ≈ 0.041833 <-- Standard Error

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Industrial Engineering » Operational and Financial Factors » Standard Error (Pooled)

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Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Standard Error (Pooled)

Go Standard Error = (Mean Square Error^0.5)/Observations

Standard Error (Pooled) Formula

Standard Error = (Mean Square Error^0.5)/Observations
E_std = (MSE^0.5)/n_t

What is the relation between Standard error and Standard deviation?

The relationship between the standard error and the standard deviation is such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size.

How to Calculate Standard Error (Pooled)?

Standard Error (Pooled) calculator uses Standard Error = (Mean Square Error^0.5)/Observations to calculate the Standard Error, Standard Error (Pooled) of a statistic is the approximate standard deviation of a statistical sample population. Standard Error is denoted by E_std symbol.

How to calculate Standard Error (Pooled) using this online calculator? To use this online calculator for Standard Error (Pooled), enter Mean Square Error (MSE) & Observations (n_t) and hit the calculate button. Here is how the Standard Error (Pooled) calculation can be explained with given input values -> 0.041833 = (0.7^0.5)/20.

FAQ

What is Standard Error (Pooled)?

Standard Error (Pooled) of a statistic is the approximate standard deviation of a statistical sample population and is represented as E_std = (MSE^0.5)/n_t or Standard Error = (Mean Square Error^0.5)/Observations. Mean Square Error of an estimator measures the average of the squares of the errors—that is, the average squared difference between the estimated values and the actual value & Observations is the number of observations for any particular treatment.

How to calculate Standard Error (Pooled)?

Standard Error (Pooled) of a statistic is the approximate standard deviation of a statistical sample population is calculated using Standard Error = (Mean Square Error^0.5)/Observations. To calculate Standard Error (Pooled), you need Mean Square Error (MSE) & Observations (n_t). With our tool, you need to enter the respective value for Mean Square Error & Observations and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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