Sample Size when Probable Error is Considered Calculator

✖Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.ⓘ Variable 'b' in Probable Error [b]			+10% -10%
✖Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.ⓘ Standard Deviation of the Sample of Size N [σ_n-1]			+10% -10%
✖Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.ⓘ Probable Error [S_e]			+10% -10%

✖Sample Size is the measure of the number of individual samples to establish the confidence limits.ⓘ Sample Size when Probable Error is Considered [N]

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Sample Size when Probable Error is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2
N = ((b*σ_n-1)/S_e)^2
This formula uses 4 Variables

Variables Used

Sample Size - Sample Size is the measure of the number of individual samples to establish the confidence limits.
Variable 'b' in Probable Error - Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.
Standard Deviation of the Sample of Size N - Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.
Probable Error - Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.

STEP 1: Convert Input(s) to Base Unit

Variable 'b' in Probable Error: 8 --> No Conversion Required
Standard Deviation of the Sample of Size N: 1.28 --> No Conversion Required
Probable Error: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = ((b*σ_n-1)/S_e)^2 --> ((8*1.28)/0.2)^2

Evaluating ... ...

N = 2621.44

STEP 3: Convert Result to Output's Unit

2621.44 --> No Conversion Required

FINAL ANSWER

2621.44 <-- Sample Size

(Calculation completed in 00.004 seconds)

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< Confidence Limits Calculators

Probable Error

LaTeX Go Probable Error = Variable 'b' in Probable Error*(Standard Deviation of the Sample of Size N/sqrt(Sample Size))

Variate 'b' given Probable Error

LaTeX Go Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N

Sample Size when Probable Error is Considered

LaTeX Go Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2

Equation for Variate 'b' using Frequency Factor

LaTeX Go Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))

Sample Size when Probable Error is Considered Formula

LaTeX Go

Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2
N = ((b*σ_n-1)/S_e)^2

What is Flood Frequency Analysis?

Flood frequency analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. The application of statistical frequency curves to floods was first introduced by Gumbel.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

How to Calculate Sample Size when Probable Error is Considered?

Sample Size when Probable Error is Considered calculator uses Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2 to calculate the Sample Size, The Sample Size when Probable Error is Considered formula is defined as the representative of the overall medium used to establish probable error in Gumbel's Probable Distribution function for extreme conditions. Sample Size is denoted by N symbol.

How to calculate Sample Size when Probable Error is Considered using this online calculator? To use this online calculator for Sample Size when Probable Error is Considered, enter Variable 'b' in Probable Error (b), Standard Deviation of the Sample of Size N (σ_n-1) & Probable Error (S_e) and hit the calculate button. Here is how the Sample Size when Probable Error is Considered calculation can be explained with given input values -> 2621.44 = ((8*1.28)/0.2)^2.

FAQ

What is Sample Size when Probable Error is Considered?

The Sample Size when Probable Error is Considered formula is defined as the representative of the overall medium used to establish probable error in Gumbel's Probable Distribution function for extreme conditions and is represented as N = ((b*σ_n-1)/S_e)^2 or Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2. Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution, Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance & Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.

How to calculate Sample Size when Probable Error is Considered?

The Sample Size when Probable Error is Considered formula is defined as the representative of the overall medium used to establish probable error in Gumbel's Probable Distribution function for extreme conditions is calculated using Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2. To calculate Sample Size when Probable Error is Considered, you need Variable 'b' in Probable Error (b), Standard Deviation of the Sample of Size N (σ_n-1) & Probable Error (S_e). With our tool, you need to enter the respective value for Variable 'b' in Probable Error, Standard Deviation of the Sample of Size N & Probable Error 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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