F Statistics Calculator

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Math	Statistics ↺

✖Number Of Observations refers to the number of observations taken in the given data collection.ⓘ Number Of Observations [n_o]			+10% -10%
✖P value is the probability of observing any value equal to \|t\| or larger.ⓘ P value [p]			+10% -10%
✖Total sum of squares is the sum of squares of all observation in a data.ⓘ Total sum of squares [TSS]			+10% -10%
✖Residual sum of squares is the sum of squares of all the residuals in a data.ⓘ Residual sum of squares [RSS]			+10% -10%

✖F statistic is the Variation Between Sample Means / Variation Within the Samples. The F-statistic is the test statistic for F-tests. ⓘ F Statistics [F]

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Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 100+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 10 Other formulas that you can solve using the same Inputs

Number Of Observations Using P Value

Number Of Observations=F statistic*Residual sum of squares*P value/(Total sum of squares-Residual sum of squares)+P value+1 GO

Total Sum Of Squares Using P Value

Total sum of squares=F statistic*P value*Residual sum of squares/(Number Of Observations-P value-1)+Residual sum of squares GO

p Value

P value=(Number Of Observations-1)/(F statistic*Residual sum of squares/(Total sum of squares-Residual sum of squares)+1) GO

Residual Standard Error Using P Value

Residual standard error=F statistic*Residual sum of squares/Total sum of squares GO

Residual Standard Error

Residual standard error=sqrt(Residual sum of squares/(Number Of Observations-2)) GO

Residual Sum Of Squares

Residual sum of squares=(Residual standard error)^2*(Number Of Observations-2) GO

Number Of Observation

Number Of Observations=Residual sum of squares/(Residual standard error)^2+2 GO

Residual Sum Of Squares Using Proportion Of Variance

Residual sum of squares=(Variance-1)*Total sum of squares GO

Total Sum Of Squares Using Proportion Of Variance

Residual sum of squares=(1-Variance)*Total sum of squares GO

Proportion Of Variance

Variance=1-Residual sum of squares/Total sum of squares GO

F Statistics Formula

F statistic=((Number Of Observations-P value-1)*(Total sum of squares-Residual sum of squares))/(Residual sum of squares* P value)

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Residual Sum Of Squares GO

Number Of Observation GO

Proportion Of Variance GO

Total Sum Of Squares Using Proportion Of Variance GO

Residual Sum Of Squares Using Proportion Of Variance GO

p Value GO

Total Sum Of Squares Using P Value GO

Residual Standard Error Using P Value GO

Number Of Observations Using P Value GO

Z-Score GO

Mean Using Z-Score GO

Standard deviation Using Z-score GO

Variance Using Z-Score GO

Sample Coefficient Of Variation GO

Mean Using Coefficient Of Variation GO

What is linear regression?

Linear regression attempts to model the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.

How to Calculate F Statistics?

F Statistics calculator uses F statistic=((Number Of Observations-P value-1)*(Total sum of squares-Residual sum of squares))/(Residual sum of squares* P value) to calculate the F statistic, The F Statistics formula is defined as 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. F statistic and is denoted by F symbol.

How to calculate F Statistics using this online calculator? To use this online calculator for F Statistics, enter P value (p), Residual sum of squares (RSS), Total sum of squares (TSS) and Number Of Observations (n_o) and hit the calculate button. Here is how the F Statistics calculation can be explained with given input values -> -1.5 = ((1-0.05-1)*(25-10))/(10* 0.05).

FAQ

What is F Statistics?

The F Statistics formula is defined as 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 and is represented as F=((n_o-p-1)*(TSS-RSS))/(RSS* p) or F statistic=((Number Of Observations-P value-1)*(Total sum of squares-Residual sum of squares))/(Residual sum of squares* P value). P value is the probability of observing any value equal to |t| or larger, Residual sum of squares is the sum of squares of all the residuals in a data, Total sum of squares is the sum of squares of all observation in a data and Number Of Observations refers to the number of observations taken in the given data collection.

How to calculate F Statistics?

The F Statistics formula is defined as 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 is calculated using F statistic=((Number Of Observations-P value-1)*(Total sum of squares-Residual sum of squares))/(Residual sum of squares* P value). To calculate F Statistics, you need P value (p), Residual sum of squares (RSS), Total sum of squares (TSS) and Number Of Observations (n_o). With our tool, you need to enter the respective value for P value, Residual sum of squares, Total sum of squares and Number Of Observations 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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