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Equation for Confidence Interval of Variate Formula

GoConfidence Interval of Variate Formula

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Value of 'x1' Bounded to Variate 'Xt' influences the limits about the calculated value between which the true value can be said to lie. Check FAQs

x 1 = x T - f c \cdot S e

x₁ - Value of 'x1' Bounded to Variate 'Xt'?x_T - Variate 'X' with a Recurrence Interval?f_c - Function of Confidence Probability?S_e - Probable Error?

Equation for Confidence Interval of Variate Example

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Here is how the Equation for Confidence Interval of Variate equation looks like with Values.

Here is how the Equation for Confidence Interval of Variate equation looks like with Units.

Here is how the Equation for Confidence Interval of Variate equation looks like.

6.43 = 9.43 - 15 \cdot 0.2

6.43 = 9.43 - 15 \cdot 0.2

6.43 = 9.43 - 15 \cdot 0.2

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Equation for Confidence Interval of Variate Solution

Follow our step by step solution on how to calculate Equation for Confidence Interval of Variate?

FIRST Step Consider the formula

x 1 = x T - f c \cdot S e

Next Step Substitute values of Variables

∴

x 1 = 9.43 - 15 \cdot 0.2

Next Step Prepare to Evaluate

∴

x 1 = 9.43 - 15 \cdot 0.2

LAST Step Evaluate

∴

x 1 = 6.43

Equation for Confidence Interval of Variate Formula Elements

Variables

Value of 'x1' Bounded to Variate 'Xt'

Value of 'x1' Bounded to Variate 'Xt' influences the limits about the calculated value between which the true value can be said to lie.

Symbol: x₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Value of 'x1' Bounded to Variate 'Xt'

Variate 'X' with a Recurrence Interval

Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period.

Symbol: x_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variate 'X' with a Recurrence Interval

Function of Confidence Probability

Function of Confidence Probability defined by normal variates.

Symbol: f_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Function of Confidence Probability

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.

Symbol: S_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probable Error

Other Formulas to find Value of 'x1' Bounded to Variate 'Xt'

Go Confidence Interval of Variate

x 1 = x T + f c \cdot S e

Other formulas in Confidence Limits category

Go Probable Error

S e = b \cdot (\frac{σ n-1}{\sqrt{N}})

Go Sample Size when Probable Error is Considered

N = {(\frac{b \cdot σ n-1}{S e})}^{2}

Go Variate 'b' given Probable Error

b = S e \cdot \frac{\sqrt{N}}{σ n-1}

Go Equation for Variate 'b' using Frequency Factor

b = \sqrt{1 + (1.3 \cdot K z) + (1.1 \cdot {K z}^{2})}

How to Evaluate Equation for Confidence Interval of Variate?

Equation for Confidence Interval of Variate evaluator uses Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error to evaluate the Value of 'x1' Bounded to Variate 'Xt', The Equation for Confidence Interval of Variate formula is defined as the limits of the calculated value between which the true value can be said to lie with a specific probability based on sampling errors. Value of 'x1' Bounded to Variate 'Xt' is denoted by x₁ symbol.

How to evaluate Equation for Confidence Interval of Variate using this online evaluator? To use this online evaluator for Equation for Confidence Interval of Variate, enter Variate 'X' with a Recurrence Interval (x_T), Function of Confidence Probability (f_c) & Probable Error (S_e) and hit the calculate button.

FAQs on Equation for Confidence Interval of Variate

What is the formula to find Equation for Confidence Interval of Variate?

The formula of Equation for Confidence Interval of Variate is expressed as Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error. Here is an example- 6.428 = 9.43-15*0.2.

How to calculate Equation for Confidence Interval of Variate?

With Variate 'X' with a Recurrence Interval (x_T), Function of Confidence Probability (f_c) & Probable Error (S_e) we can find Equation for Confidence Interval of Variate using the formula - Value of 'x1' Bounded to Variate 'Xt' = Variate 'X' with a Recurrence Interval-Function of Confidence Probability*Probable Error.

What are the other ways to Calculate Value of 'x1' Bounded to Variate 'Xt'?

Here are the different ways to Calculate Value of 'x1' Bounded to Variate 'Xt'-

Value of 'x1' Bounded to Variate 'Xt'=Variate 'X' with a Recurrence Interval+Function of Confidence Probability*Probable Error

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Equation for Confidence Interval of Variate Formula

​GoConfidence Interval of Variate Formula

Equation for Confidence Interval of Variate Example

Equation for Confidence Interval of Variate Solution

Equation for Confidence Interval of Variate Formula Elements

Other Formulas to find Value of 'x1' Bounded to Variate 'Xt'

Other formulas in Confidence Limits category

How to Evaluate Equation for Confidence Interval of Variate?

FAQs on Equation for Confidence Interval of Variate

Variable Name

GoConfidence Interval of Variate Formula