How to Calculate a T Critical One Tail

In statistical testing, you begin with a null hypothesis and an alternative hypothesis. The null hypothesis assumes a known mean, proportion or standard deviation for a given population. In contrast, the alternative hypothesis suggests that the parameter of interest differs either away from the assumed value in both directions or in one direction, either greater than or less than the assumed value. In the case of one direction, you must support that your data lies either at the far left or the far right tail of the t-distribution probability curve, beyond the "t-critical" value, to reject the null hypothesis.

Things You'll Need

  • T-distribution table
Show More

Instructions

    • 1

      Set the value of alpha. Alpha represents the percentage of error you are willing to make in terms of rejecting a null hypothesis that is actually true. Most statisticians set alpha to 0.1, 0.05, 0.025 or 0.01. The smaller alpha is, the more likely you will safely reject the null hypothesis but the harder it will be to reject it.

    • 2

      Compute the degrees of freedom, or df. The formula for df is always your sample size, n, minus one. For example, if you have a study involving 14 patients, then your df for a t-test would be 14 - 1 = 13.

    • 3

      Calculate your t-critical value according to your alpha level and df. Where the two intersect on the t-distribution table is your desired t-critical value for a one-tailed test.

    • 4

      Interpret your t-critical value as either positive, if your alternative hypothesis is greater than the assumed value, or negative, if your alternative hypothesis is less than the assumed value.

Learnify Hub © www.0685.com All Rights Reserved