SD1 = 2.7386

SD2 = 40.0625

F test value = 0.0047

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GENERATE WORK

GENERATE WORK

**Input Data : **

Data set x = 1, 2, 4, 5, 8

Data set y = 5, 20, 40, 80, 100

Total number of elements = 5

**Objective :**

Find what is f test calculation for given input data?

**Solution :**

mean1 = (1 + 2 + 4 + 5 + 8)/5

= 20/5

mean1 = 4

mean2 = (5 + 20 + 40 + 80 + 100)/5

= 245/5

mean2 = 49

SD1 = √(1/5 - 1) x ((1 - 4)^{2} + ( 2 - 4)^{2} + ( 4 - 4)^{2} + ( 5 - 4)^{2} + ( 8 - 4)^{2})

= √(1/4) x ((-3)^{2} + (-2)^{2} + (0)^{2} + (1)^{2} + (4)^{2})

= √(0.25) x ((9) + (4) + (0) + (1) + (16))

= √(0.25) x 30

= √7.5

SD1 = 2.7386

SD2 = √(1/5 - 1) x ((5 - 49)^{2} + ( 20 - 49)^{2} + ( 40 - 49)^{2} + ( 80 - 49)^{2} + ( 100 - 49)^{2})

= √(1/4) x ((-44)^{2} + (-29)^{2} + (-9)^{2} + (31)^{2} + (51)^{2})

= √(0.25) x ((1936) + (841) + (81) + (961) + (2601))

= √(0.25) x 6420

= √1605

SD2 = 40.0625

variance x = (SD1)^{2}

= (2.7386)^{2}

variance x = 7.5

variance y = (SD2)^{2}

= (40.0625)^{2}

variance y = 1605

F = Varinance of dataset xVarinance of dataset y

F = 7.51605

F = 0.0047

** 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 σ

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.

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.