![]() Technically you can use a t critical value table, which you can find in the back of your Stats 101 book,īut using this critical t-value calculator will eliminate that need. Of the differences, for paired and non-paired data. These tests are crucial to assess statistical significance The t-distribution is the underlying distribution used for the very commonly used in statistical applications The same as finding one-tailed critical values for a significance of \(\alpha\)/2 Since the t-distribution is symmetric, the critical points for the two-tailed case are symmetric with respect to the center of theĪlso, since the t-distribution is symmetric, finding critical values for a two-tailed test with a significance of \(\alpha\) is The t-distribution is used for various t-tests, where the population standard deviation is not known The t-distribution converges (in a distributional sense) to the standard normal distribution (Z-distribution) as the degrees of freedom (df) converge to infinity The t-distribution is a symmetric, continuous distribution, that is determined by the number of degrees of freedom (df) ![]() The main properties of the T-distribution and its critical points are: What Are the Main Properties of the T-distribution? Under the curve for the right tail (from the critical point to the right) is equal to the given significance level \(\alpha\). The curve for the left tail (from the critical point to the left) is equal to the given significance level \(\alpha\).įor a right-tailed case, the critical value corresponds to the point to the right of the center of the distribution, with the property that the area (from the left critical point) and the area under the curve for the right tail is equal to the given significance level \(\alpha\).įor a left-tailed case, the critical value corresponds to the point to the left of the center of the distribution, with the property that the area under Two points to the left and right of the center of the distribution, that have the property that the sum of the area under the curve for the left tail ![]() In general terms, for a two-tailed case, the critical values correspond to The distribution in this case is the T-Student distribution. : First of all, critical values are points at the tail(s) of a specificĭistribution, with the property that the area under the curve for those critical points in the tails is equal to the given value of \(\alpha\) How to use the Critical T-values Calculator
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