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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National Institute of Technology (NIT), Jamshedpur
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18 Basic Formulas in Statistics Calculators

P Value of Sample
Go P Value of Sample = (Sample Proportion-Assumed Population Proportion)/sqrt((Assumed Population Proportion*(1-Assumed Population Proportion))/Sample Size)
Sample Size given P Value
Go Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2)
t Statistic of Normal Distribution
Go t Statistic of Normal Distribution = (Sample Mean-Population Mean)/(Sample Standard Deviation/sqrt(Sample Size))
t Statistic
Go t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size))
Chi Square Statistic
Go Chi Square Statistic = ((Sample Size-1)*Sample Standard Deviation^2)/(Population Standard Deviation^2)
Number of Classes given Class Width
Go Number of Classes = (Largest Item in Data-Smallest Item in Data)/Class Width of Data
Class Width of Data
Go Class Width of Data = (Largest Item in Data-Smallest Item in Data)/Number of Classes
Expectation of Difference of Random Variables
Go Expectation of Difference of Random Variables = Expectation of Random Variable X-Expectation of Random Variable Y
Chi Square Statistic given Sample and Population Variances
Go Chi Square Statistic = ((Sample Size-1)*Sample Variance)/Population Variance
Expectation of Sum of Random Variables
Go Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y
Number of Individual Values given Residual Standard Error
Go Number of Individual Values = (Residual Sum of Squares/(Residual Standard Error of Data^2))+1
F Value of Two Samples given Sample Standard Deviations
Go F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2
Mid Range of Data
Go Mid Range of Data = (Maximum Value of Data+Minimum Value of Data)/2
F Value of Two Samples
Go F Value of Two Samples = Variance of Sample X/Variance of Sample Y
Smallest Item in Data given Range
Go Smallest Item in Data = Largest Item in Data-Range of Data
Largest Item in Data given Range
Go Largest Item in Data = Range of Data+Smallest Item in Data
Range of Data
Go Range of Data = Largest Item in Data-Smallest Item in Data
Relative Frequency
Go Relative Frequency = Absolute Frequency/Total Frequency

F Value of Two Samples Formula

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 2X) & Variance of Sample Y 2Y) 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 2X) & Variance of Sample Y 2Y). 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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