F Test Calculation


F Test Calculator

F Test Calculator is an online statistics tool for data analysis programmed to determine whether two independent estimates of variance can be assumed to be estimates of the same variance. This calculator generate the F Test value according to the given inputs of standard deviation of first data set and standard deviation of second data set


The t test is generally used to perform comparison between two treatments. Several experiments involve more than two behaviours, where the F test comes into effect for such experiments. F Test is experiment based on the ratio of two variations. It is used to verify whether two independent estimates of variations can be assumed to be estimates of the same variations. If two means or treatments are considerably different, the variation in treatment will be greater than the variation due to random dissimilarity among individuals

The two variations which are estimates of σ2 are calculated from sample means and by pooling the variations from the samples. No difference would be expected between the variations if estimates of F were calculated many times for a series of samples drawn from a population of normally distributed variations. Only the positive values are considered in F distribution therefore this is not a symmetrical distribution. The one-way ANOVA - analysis of variation is used in F test to estimate if the expected values of a quantitative variable within several pre-defined groups differ from each other

F Test Formula

The one way ANOVA F Test statistic test in which the test statistic has an F-distribution under the null hypothesis can be calculated from the following formula
F Distribution Hypothesis Calculation Formula, F = Explained Variance / Unexplained Variance, F = Between Group Variability / Within Group Variability, F = Variance Between Treatments / Variance within Treatments, F = Variance of Treatments / Variance of Error

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the F-Test or Hypothesis F Distribution for a given sets of data. With this online F-Test calculator you can effortlessly make your statistical F distribution calculation for given data sets

Similar Resource
 Worksheet for how to calculate T Test
 F Test Example