MINITAB calculation of \(t_{\alpha}, \chi_{v}^{2}\), and \(F_{\alpha}\)

The software finds percentiles, so to obtain \(F_{\alpha}\), we first convert from \(\alpha\) to \(1-\alpha\). We illustrate with the calculation of \(F_{0.025}(4,7)\), where \(1-0.025=0.975\).

Output:
F distribution with \(4 \mathrm{DF}\) in numerator and \(7 \mathrm{DF}\) in denominator \[\begin{array}{rr} \mathrm{P}(\mathrm{X}In the first line, you may instead select Chi square or \(\mathbf{t}\) and then there is only one Degrees of Freedom in the second line.
Obtain \(F_{0.975}(7,4)\) and check that it equals \(1 / F_{0.025}(4,7)=1 / 5.52259\).

Transcribed Image Text:

Dialog box: Calc> Probability distributions > F. Choose Inverse cumulative probability. Type 4 in Numerator degrees of freedom, 7 in Denominator degrees of freedom. Choose Input constant and type .975. Click OK.