Expected Frequency Calculator ·

18 May 2024, 00:00

Expected Frequency Calculator

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

Observed values from what you entered are below:

	Wins	Draws	Losses

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

	Wins	Draws	Losses	Totals
	0
Totals	0

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

	Wins	Draws	Losses	Totals
	0
Totals	0

Step 3: Build our observed versus expected values:

Observed	Expected	\|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 α	α 0.1	α 0.09	α 0.08	α 0.07	α 0.06	α 0.05	α 0.04	α 0.03	α 0.02	α 0.01
1	2.7055	2.8744	3.0649	3.283	3.5374	3.8415	4.2179	4.7093	5.4119	6.6349
2	4.6052	4.8159	5.0515	5.3185	5.6268	5.9915	6.4378	7.0131	7.824	9.2103
3	6.2514	6.4915	6.7587	7.0603	7.4069	7.8147	8.3112	8.9473	9.8374	11.3449
4	7.7794	8.0434	8.3365	8.6664	9.0444	9.4877	10.0255	10.7119	11.6678	13.2767
5	9.2364	9.5211	9.8366	10.191	10.5962	11.0705	11.6443	12.3746	13.3882	15.0863
6	10.6446	10.9479	11.2835	11.6599	12.0896	12.5916	13.1978	13.9676	15.0332	16.8119
7	12.017	12.3372	12.6912	13.0877	13.5397	14.0671	14.703	15.5091	16.6224	18.4753
8	13.3616	13.6975	14.0684	14.4836	14.9563	15.5073	16.1708	17.0105	18.1682	20.0902
9	14.6837	15.0342	15.4211	15.8537	16.3459	16.919	17.6083	18.4796	19.679	21.666
10	15.9872	16.3516	16.7535	17.2026	17.7131	18.307	19.0207	19.9219	21.1608	23.2093
11	17.275	17.6526	18.0687	18.5334	19.0614	19.6751	20.412	21.3416	22.6179	24.725
12	18.5493	18.9395	19.3692	19.8488	20.3934	21.0261	21.7851	22.7418	24.054	26.217
13	19.8119	20.214	20.6568	21.1507	21.7113	22.362	23.1423	24.1249	25.4715	27.6882
14	21.0641	21.4778	21.9331	22.4408	23.0166	23.6848	24.4855	25.4931	26.8728	29.1412
15	22.3071	22.7319	23.1993	23.7202	24.3108	24.9958	25.8162	26.8479	28.2595	30.5779
16	23.5418	23.9774	24.4564	24.9901	25.595	26.2962	27.1356	28.1907	29.6332	31.9999
17	24.769	25.215	25.7053	26.2514	26.8701	27.5871	28.445	29.5227	30.995	33.4087
18	25.9894	26.4455	26.9467	27.5049	28.137	28.8693	29.7451	30.8447	32.3462	34.8053
19	27.2036	27.6694	28.1814	28.7512	29.3964	30.1435	31.0367	32.1577	33.6874	36.1909
20	28.412	28.8874	29.4097	29.991	30.6489	31.4104	32.3206	33.4624	35.0196	37.5662
21	29.6151	30.0998	30.6322	31.2246	31.8949	32.6706	33.5972	34.7593	36.3434	38.9322
22	30.8133	31.3071	31.8494	32.4526	33.135	33.9244	34.8673	36.0492	37.6595	40.2894
23	32.0069	32.5096	33.0616	33.6754	34.3696	35.1725	36.1311	37.3323	38.9683	41.6384
24	33.1962	33.7077	34.269	34.8932	35.599	36.415	37.3891	38.6093	40.2704	42.9798
25	34.3816	34.9015	35.4721	36.1065	36.8235	37.6525	38.6416	39.8804	41.5661	44.3141
26	35.5632	36.0915	36.6711	37.3154	38.0435	38.8851	39.8891	41.146	42.8558	45.6417
27	36.7412	37.2777	37.8662	38.5202	39.2593	40.1133	41.1318	42.4066	44.14	46.9629
28	37.9159	38.4604	39.0577	39.7213	40.471	41.3371	42.3699	43.6622	45.4188	48.2782
29	39.0875	39.6398	40.2456	40.9187	41.6789	42.557	43.6038	44.9132	46.6927	49.5879

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

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