Tukey's Range Test

Tukey's Range Test

Tukey's test, also known as the Tukey range test, Tukey method, Tukey's honest significance test, Tukey's HSD (honestly significant difference) test, or the Tukey–Kramer method, is a single-step multiple comparison procedure and statistical test. It is used in conjunction with an ANOVA to find means that are significantly different from each other. Named after John Tukey, it compares all possible pairs of means, and is based on a studentized range distribution (q) (this distribution is similar to the distribution of t from the t-test). The Tukey HSD tests should not be confused with the Tukey Mean Difference tests (also known as the Bland-Altman Test).

Tukey's test compares the means of every treatment to the means of every other treatment; that is, it applies simultaneously to the set of all pairwise comparisons

and identifies any difference between two means that is greater than the expected standard error. The confidence coefficient for the set, when all sample sizes are equal, is exactly 1 − α. For unequal sample sizes, the confidence coefficient is greater than 1 − α. In other words, the Tukey method is conservative when there are unequal sample sizes.

Read more about Tukey's Range Test:  Assumptions of Tukey's Test, The Test Statistic, Confidence Limits, The Studentized Range (q) Distribution, Order of Comparisons, Unequal Sample Sizes, Comparison With Scheffé's Method, See Also

Famous quotes containing the words range and/or test:

    “For generations, a wide range of shooting in Northern Ireland has provided all sections of the population with a pastime which ... has occupied a great deal of leisure time. Unlike many other countries, the outstanding characteristic of the sport has been that it was not confined to any one class.”
    —Northern Irish Tourist Board. quoted in New Statesman (London, Aug. 29, 1969)

    “Just as we need to encourage women to test life’s many options, we need to acknowledge real limits of energy and resources. It would be pointless and cruel to prescribe role combination for every woman at each moment of her life. Life has its seasons. There are moments when a woman ought to invest emotionally in many different roles, and other moments when she may need to conserve her psychological energies.”
    —Faye J. Crosby (20th century)