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sci.chi-squared-goodness-of-fit Calculator
Calculates chi-squared test statistic and p-value for goodness-of-fit or contingency table tests of association between categorical variables. For a 2×2 table with small expected counts (< 5), Yates' continuity correction or Fisher's exact test is preferred over standard chi-square.
Inputs
O1
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
E1
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
O2
Reference formula or conversion factor shown for context.
E2
Reference formula or conversion factor shown for context.
O3
Reference formula or conversion factor shown for context.
E3
Reference formula or conversion factor shown for context.
Results
χ² test statistic
The test statistic for a t-test — the signal-to-noise ratio of the effect. Compare to the critical value for your degrees of freedom and alpha level.
degrees of freedom df
The magnitude or severity on the applicable scale.
χ² critical value (α=0.05)
The threshold the test statistic must exceed to reject the null hypothesis at the chosen significance level.
conclusion
Sample size or count used in the calculation.
χ² = Σ(O-E)²/E
Reference formula or conversion factor shown for context.