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I am wondering if there is a sample size formula like Lehr's formula that applies to an F-test? Lehr's formula for t-tests is $n = 16 / \Delta^2$, where $\Delta$ is the effect size (e.g. $\Delta = ... 0answers 89 views Estimation After Selection on Non-central F Random Variables Suppose that you observe$F_1,F_2,\ldots,F_k$each independently. drawn from non-central F distributions with common, known, d.f.$\nu_1, \nu_2$, and with (unknown) non-centrality parameters ... 0answers 204 views Distribution of a normalized inverse Wishart times Gaussian Suppose$z\sim\mathcal{N}\left(\lambda^2 e_1,I_n\right)$where$e_1$is the first column of the$n$-dimensional identity matrix, denoted here as$I_n$. Suppose$S\sim\mathcal{W}\left(m,I_n\right)$is ... 0answers 90 views Generate data from a t-distribution with specified mean and standard deviation How does one randomly sample from a T-distribution in R. From what I've found, the function rt in R doesn't let you specify the mean and standard deviation. For a ... 0answers 111 views What is the distribution of the 'achieved'$R^2$? I am interested in the distribution of/performing inference on the 'achieved'$R^2$coefficient in multiple linear regression. Suppose that$y\sim x\beta + \epsilon$with$\epsilon \sim ...
I am wondering if there are standard naming conventions in general for confidence distributions or for the particular cases of the non-centrality parameters of (non-central) $t$- and ...