![]() 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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