Sample Size given Adjusted Coefficient of Skew Calculator

✖Coefficient of Skew of Variate Z to account for the size of the sample.ⓘ Coefficient of Skew of Variate Z [C_s]			+10% -10%
✖Adjusted Coefficient of Skew to account for the size of the sample.ⓘ Adjusted Coefficient of Skew [C'_s]			+10% -10%

✖Sample Size is the measure of the number of individual samples to establish the confidence limits.ⓘ Sample Size given Adjusted Coefficient of Skew [N]

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Formula

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Sample Size given Adjusted Coefficient of Skew

Formula

`"N" = "C"_{"s"}*(1+8.5)/"C'"_{"s"}`

Example

`"2620.69"="1.2"*(1+8.5)/"0.00435"`

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Sample Size given Adjusted Coefficient of Skew Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew
N = C_s*(1+8.5)/C'_s
This formula uses 3 Variables

Variables Used

Sample Size - Sample Size is the measure of the number of individual samples to establish the confidence limits.
Coefficient of Skew of Variate Z - Coefficient of Skew of Variate Z to account for the size of the sample.
Adjusted Coefficient of Skew - Adjusted Coefficient of Skew to account for the size of the sample.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Skew of Variate Z: 1.2 --> No Conversion Required
Adjusted Coefficient of Skew: 0.00435 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = C_s*(1+8.5)/C'_s --> 1.2*(1+8.5)/0.00435

Evaluating ... ...

N = 2620.68965517241

STEP 3: Convert Result to Output's Unit

2620.68965517241 --> No Conversion Required

FINAL ANSWER

2620.68965517241 ≈ 2620.69 <-- Sample Size

(Calculation completed in 00.005 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Floods » Risk, Reliability and Log-Pearson Distribution » Log-Pearson Type III Distribution » Sample Size given Adjusted Coefficient of Skew

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< 8 Log-Pearson Type III Distribution Calculators

Frequency Factor given Z Series for Recurrence Interval

Go Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample

Mean Series of Z Variates given Z Series for Recurrence Interval

Go Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

Equation for Z Series for any Recurrence Interval

Go Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample

Partial Duration Series

Go Partial Duration Series = 1/((ln(Annual Series))-(ln(Annual Series-1)))

Coefficient of Skew of Variate Z given Adjusted Coefficient of Skew

Go Coefficient of Skew of Variate Z = Adjusted Coefficient of Skew/((1+8.5)/Sample Size)

Adjusted Coefficient of Skew

Go Adjusted Coefficient of Skew = Coefficient of Skew of Variate Z*((1+8.5)/Sample Size)

Sample Size given Adjusted Coefficient of Skew

Go Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew

Equation for Base Series of Z Variates

Go Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)

Sample Size given Adjusted Coefficient of Skew Formula

Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew
N = C_s*(1+8.5)/C'_s

What is Log-Pearson Type III Distribution?

The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Sample Size given Adjusted Coefficient of Skew?

Sample Size given Adjusted Coefficient of Skew calculator uses Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew to calculate the Sample Size, The Sample Size given Adjusted Coefficient of Skew formula is defined as the representation of the geometry of the sample under study in Log-Pearson Type III Distribution. Sample Size is denoted by N symbol.

How to calculate Sample Size given Adjusted Coefficient of Skew using this online calculator? To use this online calculator for Sample Size given Adjusted Coefficient of Skew, enter Coefficient of Skew of Variate Z (C_s) & Adjusted Coefficient of Skew (C'_s) and hit the calculate button. Here is how the Sample Size given Adjusted Coefficient of Skew calculation can be explained with given input values -> 2620.69 = 1.2*(1+8.5)/0.00435.

FAQ

What is Sample Size given Adjusted Coefficient of Skew?

The Sample Size given Adjusted Coefficient of Skew formula is defined as the representation of the geometry of the sample under study in Log-Pearson Type III Distribution and is represented as N = C_s*(1+8.5)/C'_s or Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew. Coefficient of Skew of Variate Z to account for the size of the sample & Adjusted Coefficient of Skew to account for the size of the sample.

How to calculate Sample Size given Adjusted Coefficient of Skew?

The Sample Size given Adjusted Coefficient of Skew formula is defined as the representation of the geometry of the sample under study in Log-Pearson Type III Distribution is calculated using Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew. To calculate Sample Size given Adjusted Coefficient of Skew, you need Coefficient of Skew of Variate Z (C_s) & Adjusted Coefficient of Skew (C'_s). With our tool, you need to enter the respective value for Coefficient of Skew of Variate Z & Adjusted Coefficient of Skew 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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