F Value of Two Samples given Sample Standard Deviations Calculator

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✖Standard Deviation of Sample X is the measure of how much the values in Sample X vary.ⓘ Standard Deviation of Sample X [σ_X]			+10% -10%
✖Standard Deviation of Sample Y is the measure of how much the values in Sample Y vary.ⓘ Standard Deviation of Sample Y [σ_Y]			+10% -10%

✖F Value of Two Samples is the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests.ⓘ F Value of Two Samples given Sample Standard Deviations [F]

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F Value of Two Samples given Sample Standard Deviations Solution

STEP 0: Pre-Calculation Summary

Formula Used

F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2
F = (σ_X/σ_Y)^2
This formula uses 3 Variables

Variables Used

F Value of Two Samples - F Value of Two Samples is the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests.
Standard Deviation of Sample X - Standard Deviation of Sample X is the measure of how much the values in Sample X vary.
Standard Deviation of Sample Y - Standard Deviation of Sample Y is the measure of how much the values in Sample Y vary.

STEP 1: Convert Input(s) to Base Unit

Standard Deviation of Sample X: 24 --> No Conversion Required
Standard Deviation of Sample Y: 16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = (σ_X/σ_Y)^2 --> (24/16)^2

Evaluating ... ...

F = 2.25

STEP 3: Convert Result to Output's Unit

2.25 --> No Conversion Required

FINAL ANSWER

2.25 <-- F Value of Two Samples

(Calculation completed in 00.005 seconds)

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National Institute of Technology (NIT), Jamshedpur

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F Value of Two Samples given Sample Standard Deviations Formula

LaTeX Go

F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2
F = (σ_X/σ_Y)^2

What is F-test in Statistics?

An F-test is any statistical test in which the test statistic has an F-distribution under the null hypothesis. It is most often used when comparing statistical models that have been fitted to a data set, in order to identify the model that best fits the population from which the data were sampled. Exact "F-tests" mainly arise when the models have been fitted to the data using least squares.
Common examples of the use of F-tests include the study of the following cases:
(i) The hypothesis that the means of a given set of normally distributed populations, all having the same standard deviation, are equal. This is perhaps the best-known F-test, and plays an important role in the analysis of variance (ANOVA).
(ii) The hypothesis that a proposed regression model fits the data well. See Lack-of-fit sum of squares.
(iii) The hypothesis that a data set in a regression analysis follows the simpler of two proposed linear models that are nested within each other.

How to Calculate F Value of Two Samples given Sample Standard Deviations?

F Value of Two Samples given Sample Standard Deviations calculator uses F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2 to calculate the F Value of Two Samples, F Value of Two Samples given Sample Standard Deviations formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests, and calculated using the standard deviations of both samples in the given information. F Value of Two Samples is denoted by F symbol.

How to calculate F Value of Two Samples given Sample Standard Deviations using this online calculator? To use this online calculator for F Value of Two Samples given Sample Standard Deviations, enter Standard Deviation of Sample X (σ_X) & Standard Deviation of Sample Y (σ_Y) and hit the calculate button. Here is how the F Value of Two Samples given Sample Standard Deviations calculation can be explained with given input values -> 32.65306 = (24/16)^2.

FAQ

What is F Value of Two Samples given Sample Standard Deviations?

F Value of Two Samples given Sample Standard Deviations formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests, and calculated using the standard deviations of both samples in the given information and is represented as F = (σ_X/σ_Y)^2 or F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2. Standard Deviation of Sample X is the measure of how much the values in Sample X vary & Standard Deviation of Sample Y is the measure of how much the values in Sample Y vary.

How to calculate F Value of Two Samples given Sample Standard Deviations?

F Value of Two Samples given Sample Standard Deviations formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests, and calculated using the standard deviations of both samples in the given information is calculated using F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2. To calculate F Value of Two Samples given Sample Standard Deviations, you need Standard Deviation of Sample X (σ_X) & Standard Deviation of Sample Y (σ_Y). With our tool, you need to enter the respective value for Standard Deviation of Sample X & Standard Deviation of Sample Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate F Value of Two Samples?

In this formula, F Value of Two Samples uses Standard Deviation of Sample X & Standard Deviation of Sample Y. We can use 1 other way(s) to calculate the same, which is/are as follows -

F Value of Two Samples = Variance of Sample X/Variance of Sample Y

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