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Test Statistic


A test statistic is a statistic computed from sample data whose observed value is used in a statistical test. If the data are X_1, ..., X_n, it can be written T=T(X_1,...,X_n).

The null distribution of T determines its critical values. Together with the observed value of T, it also determines the P-value. Values beyond a critical value provide evidence against the null hypothesis.


See also

Alternative Hypothesis, Hypothesis Testing, Null Distribution, Null Hypothesis, Statistic, Statistical Test

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References

Hogg, R. V. and Tanis, E. A. Probability and Statistical Inference, 5th ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.

Cite this as:

Weisstein, Eric W. "Test Statistic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TestStatistic.html

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