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F Test Calculator
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F-value is the ratio of two variances used to test the significance of some item of interest. Online F Test Calculator is a tool which makes calculations easy and fun. Try our F Test Calculator and get your problems solved instantly.
 

Steps for F-Test Calculator

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Step 1 :  

Calculate the average(mean) of the given two set of data by adding up all the numbers, then divide by total number of numbers present in set.



Step 2 :  

Subtract the average(mean) value from the actual value for each period, which gives us the deviation for both periods.



Step 3 :  

Square each period's deviation to avoid the negative numbers.



Step 4 :  

Sum the squared deviations to get a single number, then divide the sum of the squared deviations by the quantity of periods. This gives the variance.



Step 5 :  

Apply the formula: F-Value = $\frac{(variance_{1})^{2}}{(variance_{2})^{2}}$


where, variance1 is the variance for first set of numbers and variance2 is the variance for second set of numbers.



Examples on F-Test Calculator

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  1. Find the f-value for set1 = {2, 3, 4, 7} and set2 = {4, 5, 6, 9}?


    Step 1 :  

    Mean for first set = $\frac{2 + 3 + 4 + 7}{4}$ => $\frac{16}{4}$ = 4
    Mean for second set = $\frac{4 + 5 + 6 + 9}{4}$ => $\frac{24}{4}$ = 6



    Step 2 :  

    Set1 = (2 - 4), (3 - 4), (4 - 4), (7 - 4) => -2, -1, 0, 3
    Set2 = (4 - 6), (5 - 6), (6 - 6), (9 - 6) => -2, -1, 0, 3



    Step 3 :  

    Set1 = (-2)2, (-1)2, 0, (3)2 => 4, 1, 0, 9
    Set2 = (-2)2, (-1)2, 0, (3)2 => 4, 1, 0, 9



    Step 4 :  

    Variance1 = $\frac{4 + 1 + 0 + 9}{4}$ => $\frac{14}{4}$ => 3.5
    Variance2 = $\frac{4 + 1 + 0 + 9}{4}$ => $\frac{14}{4}$ => 3.5



    Step 5 :  

    F-Value = $\frac{3.5}{3.5}$ = 1



    Answer  :  

    1



  2. Find the f-value for set1 = {3, 4, 5, 8} and set2 = {5, 6, 7, 10}?


    Step 1 :  

    Mean for first set = $\frac{3 + 4 + 5 + 8}{4}$ => $\frac{20}{4}$ = 5
    Mean for second set = $\frac{5 + 6 + 7 + 10}{4}$ => $\frac{28}{4}$ = 7



    Step 2 :  

    Set1 = (3 - 5), (4 - 5), (5 - 5), (8 - 5) => -2, -1, 0, 3
    Set2 = (5 - 7), (6 - 7), (7 - 7), (10 - 7) => -2, -1, 0, 3



    Step 3 :  

    Set1 = (-2)2, (-1)2, 0, (3)2 => 4, 1, 0, 9
    Set2 = (-2)2, (-1)2, 0, (3)2 => 4, 1, 0, 9



    Step 4 :  

    Variance1 = $\frac{4 + 1 + 0 + 9}{4}$ => $\frac{14}{4}$ => 3.5
    Variance2 = $\frac{4 + 1 + 0 + 9}{4}$ => $\frac{14}{4}$ => 3.5



    Step 5 :  

    F-Value = $\frac{3.5}{3.5}$ = 1



    Answer  :  

    1



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