Critical value

Hypothesis tests · Method and input reference

Two-sided probability is twice the smaller tail; critical values are equal-tail cutoffs. Use the tail appropriate to the test.

Open calculator · Compare methods in the decision matrix

Required inputs

  • Reference distribution — Choose normal, t, chi2, f.
  • Test statistic — Enter the method parameter described above.
  • Degrees of freedom — Enter the method parameter described above.
  • Denominator degrees of freedom — Enter the method parameter described above.
  • Significance level — Enter the method parameter described above.
  • Tail — Choose two-sided, upper, lower.

Review missing values and data coding before running. Sample inputs are synthetic teaching examples.

Implementation

Lifescio validates inputs and formats results; listed functions are the principal calculation routines, not an exhaustive transitive dependency list.

  • scipy 1.15.3: scipy.stats.norm, scipy.stats.t, scipy.stats.chi2, scipy.stats.f

These are pinned library versions; saved results record the versions actually used at runtime.

Library references