Expected Frequency Calculator

Expected Frequency Calculator

Image to Crop Calculate the expected frequency from the contingency table that you entered using a 95% confidence percentage

Observed values from what you entered are below:

  WinsDrawsLosses

Step 1: Get the totals for each of the 1 rows and 3 columns

  WinsDrawsLossesTotals
0
Totals0

Step 2: Calculate the expected frequencies for each table cell (Row Total x Column Total) ÷ All Total

  WinsDrawsLossesTotals
0
Totals0

Step 3: Build our observed versus expected values:

ObservedExpected|Observed - Expected||O - E|2 ÷ Expected
Total    0

Step 4: Calculate Degrees of Freedom (DoF):

For a table with (m) rows and (n) columns, we have DoF = (m - 1)(n - 1) = (1 - 1)(3 - 1) = (0)(2) = 0

Step 5: Evaluate Test Statistic:

Our Test Statistic from the table above = 0
At a 95% confidence percentage, we have a tail value of 100% - 95% = 5 denoted as α0.05
In the table below: Our Χ2 Critical Value at 0 Degrees of Freedom and tail value of 5% =

Excel or Google Sheets formula:

=CHIINV(0.05,0)

Step 6: Draw our conclusion:

Since the test statistic of 0 exceeds our critical value of , we assume that our hypothesis does not hold.


Chi-Square Table Values are below:

DOF αα 0.1α 0.09α 0.08α 0.07α 0.06α 0.05α 0.04α 0.03α 0.02α 0.01
12.70552.87443.06493.2833.53743.84154.21794.70935.41196.6349
24.60524.81595.05155.31855.62685.99156.43787.01317.8249.2103
36.25146.49156.75877.06037.40697.81478.31128.94739.837411.3449
47.77948.04348.33658.66649.04449.487710.025510.711911.667813.2767
59.23649.52119.836610.19110.596211.070511.644312.374613.388215.0863
610.644610.947911.283511.659912.089612.591613.197813.967615.033216.8119
712.01712.337212.691213.087713.539714.067114.70315.509116.622418.4753
813.361613.697514.068414.483614.956315.507316.170817.010518.168220.0902
914.683715.034215.421115.853716.345916.91917.608318.479619.67921.666
1015.987216.351616.753517.202617.713118.30719.020719.921921.160823.2093
1117.27517.652618.068718.533419.061419.675120.41221.341622.617924.725
1218.549318.939519.369219.848820.393421.026121.785122.741824.05426.217
1319.811920.21420.656821.150721.711322.36223.142324.124925.471527.6882
1421.064121.477821.933122.440823.016623.684824.485525.493126.872829.1412
1522.307122.731923.199323.720224.310824.995825.816226.847928.259530.5779
1623.541823.977424.456424.990125.59526.296227.135628.190729.633231.9999
1724.76925.21525.705326.251426.870127.587128.44529.522730.99533.4087
1825.989426.445526.946727.504928.13728.869329.745130.844732.346234.8053
1927.203627.669428.181428.751229.396430.143531.036732.157733.687436.1909
2028.41228.887429.409729.99130.648931.410432.320633.462435.019637.5662
2129.615130.099830.632231.224631.894932.670633.597234.759336.343438.9322
2230.813331.307131.849432.452633.13533.924434.867336.049237.659540.2894
2332.006932.509633.061633.675434.369635.172536.131137.332338.968341.6384
2433.196233.707734.26934.893235.59936.41537.389138.609340.270442.9798
2534.381634.901535.472136.106536.823537.652538.641639.880441.566144.3141
2635.563236.091536.671137.315438.043538.885139.889141.14642.855845.6417
2736.741237.277737.866238.520239.259340.113341.131842.406644.1446.9629
2837.915938.460439.057739.721340.47141.337142.369943.662245.418848.2782
2939.087539.639840.245640.918741.678942.55743.603844.913246.692749.5879

What is the Answer?

Since the test statistic of 0 exceeds our critical value of , we assume that our hypothesis does not hold.

How does the Expected Frequency Calculator work?

Free Expected Frequency Calculator - Given a contingency table (two-way table), this will calculate expected frequencies and then determine a conclusion based on a Χ2 test with critical value test and conclusion.
This calculator has 1 input.

What 1 formula is used for the Expected Frequency Calculator?

Expected Frequency = (Row Total * Column Total)/N

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Expected Frequency Calculator?

alternative hypothesisopposite of null hypothesis. One of the proposed proposition in the hypothesis test.
H1critical valuea point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis. expected frequencycomputed by multiplying the probability that an event occurs by the total number of possible times that the event could occur.
Expected Frequency = (Row Total * Column Total)/Nfrequencynumber of times a data value occurshypothesisstatistical test using a statement of a possible explanation for some conclusionsnull hypothesisin a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
H0test statistica number calculated by a statistical test

Expected Frequency Calculator Video


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