1.3.6.7.2. Critical Values of the Student's | t test p value table
HowtoUseThisTableThistablecontainscriticalvaluesoftheStudentstdistributioncomputedusingthecumulativedistributionfunction.Thetdistributionissymmetricsothatt1-α,ν=-tα,ν.Thettablecanbeusedforbothone-sided(lowerandupper)andtwo-sidedtestsusingtheappropriatevalueofα.Thesignificancelevel,α,isdemonstratedinthegraphbelow,whichdisplaysatdistributionwith10degreesoffreedom.Themostcommonlyusedsignificancelevelisα=0.05.Foratwo-sidedtest,wecompute1-α/2,or1-0.05/2=0.975whenα=0.05.Iftheabsolutevalueofthetest...
How to Use This Table This table contains critical values of the Students t distribution computed using the cumulative distribution function. The t distribution is symmetric so thatt1-α,ν = -tα,ν.
The t table can be used for both one-sided (lower and upper) and two-sided tests using the appropriate value of α.
The significance level, α, is demonstrated in the graph below, which displays a t distribution with 10 degrees of freedom. The most commonly used significance level is α = 0.05. For a two-sided test, we compute 1 - α/2, or 1 - 0.05/2 = 0.975 when α = 0.05. If the absolute value of the test statistic is greater than the critical value (0.975), then we reject the null hypothesis. Due to the symmetry of the t distribution, we only tabulate the positive critical values in the table below.
Given a specified value for α :
For a two-sided test, find the column corresponding to 1-α/2 and reject the null hypothesis if the ...