F Value of Two Samples Calculator

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✖Variance of Sample X is the average of the squared differences between each data point and the mean of Sample X.ⓘ Variance of Sample X [σ²X]			+10% -10%
✖Variance of Sample Y is the average of the squared differences between each data point and the mean of Sample Y.ⓘ Variance of Sample Y [σ²Y]			+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 [F]

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F Value of Two Samples Solution

STEP 0: Pre-Calculation Summary

Formula Used

F Value of Two Samples = Variance of Sample X/Variance of Sample Y
F = σ²X/σ²Y
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.
Variance of Sample X - Variance of Sample X is the average of the squared differences between each data point and the mean of Sample X.
Variance of Sample Y - Variance of Sample Y is the average of the squared differences between each data point and the mean of Sample Y.

STEP 1: Convert Input(s) to Base Unit

Variance of Sample X: 576 --> No Conversion Required
Variance of Sample Y: 256 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = σ²X/σ²Y --> 576/256

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 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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F Value of Two Samples Formula

LaTeX Go

F Value of Two Samples = Variance of Sample X/Variance of Sample Y
F = σ²X/σ²Y

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?

F Value of Two Samples calculator uses F Value of Two Samples = Variance of Sample X/Variance of Sample Y to calculate the F Value of Two Samples, F Value of Two Samples formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests. F Value of Two Samples is denoted by F symbol.

How to calculate F Value of Two Samples using this online calculator? To use this online calculator for F Value of Two Samples, enter Variance of Sample X (σ²X) & Variance of Sample Y (σ²Y) and hit the calculate button. Here is how the F Value of Two Samples calculation can be explained with given input values -> 32 = 576/256.

FAQ

What is F Value of Two Samples?

F Value of Two Samples formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests and is represented as F = σ²X/σ²Y or F Value of Two Samples = Variance of Sample X/Variance of Sample Y. Variance of Sample X is the average of the squared differences between each data point and the mean of Sample X & Variance of Sample Y is the average of the squared differences between each data point and the mean of Sample Y.

How to calculate F Value of Two Samples?

F Value of Two Samples formula is defined as the ratio of variances from two different samples, often used in analysis of variance (ANOVA) tests is calculated using F Value of Two Samples = Variance of Sample X/Variance of Sample Y. To calculate F Value of Two Samples, you need Variance of Sample X (σ²X) & Variance of Sample Y (σ²Y). With our tool, you need to enter the respective value for Variance of Sample X & Variance 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 Variance of Sample X & Variance of Sample Y. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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