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*σn-1)/Se)^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*σn-1)/Se)^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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8 Confidence Limits Calculators

Probable Error
Go Probable Error = Variable 'b' in Probable Error*(Standard Deviation of the Sample of Size N/sqrt(Sample Size))
Variate 'b' given Probable Error
Go Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N
Equation for Confidence Interval of Variate Bounded by x2
Go Value of 'x2' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error
Confidence Interval of Variate Bounded by X2
Go Value of 'x2' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval+Function of Confidence Probability*Probable Error
Equation for Confidence Interval of Variate
Go Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error
Confidence Interval of Variate
Go Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval+Function of Confidence Probability*Probable Error
Sample Size when Probable Error is Considered
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
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

Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2
N = ((b*σn-1)/Se)^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 n-1) & Probable Error (Se) 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*σn-1)/Se)^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 n-1) & Probable Error (Se). 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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