Statistics calculator

Chi Square Four Categories

Calculate chi-square statistic using the chi square four categories formula.

Observed 1Expected 1Observed 2Expected 2Observed 3Expected 3Observed 4Expected 4

Chi-square statistic: -

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Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 43.

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How the Chi Square Four Categories works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 43. Enter values in consistent units.

Formula and inputs

(o1-e1) × (o1-e1) ÷ e1+(o2-e2) × (o2-e2) ÷ e2+(o3-e3) × (o3-e3) ÷ e3+(o4-e4) × (o4-e4) ÷ e4

Inputs: Observed 1, Expected 1, Observed 2, Expected 2, Observed 3, Expected 3, Observed 4, Expected 4.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.