SUMMARY The object of this paper is to propose for discussion the following topic: b1, b2, … are unbiased estimates of β1, β2, …, distributed normally with variances and covariances jointly estimated, with / degrees of freedom and independently of b1, b2, …, as v11, v12, v22, …, and the functions Fr(α) do not involve the parameters βr. What can we say about the roots of the equation in F(β,α)=β1F1(α)+β2 F2(α)+…=0? Numerical examples are discussed in detail to illustrate the problems of determining the fiducial distributions of (i) the root of a simple equation (i.e., a ratio), (ii) the roots of a quadratic equation with variable coefficients. The solutions proposed are based on a consideration of the region of the (α, t2) plane lying above the curve {F(b,α)}2=t2 V{F(b,α)}=t2∑vijFifalse(αfalse)Fj(α).

No abstract

Both r, and rK lie between + 1 and-1. We shall not be concerned liere with ties among the u's or v's. The followiiig is a third coefficient which has been computed for all the sampling data and which we hope to consider later: (c) The Fisher-Ya.tes coefficient. Let ((i / n) be a so-called normal order statistic, i.e. the

No abstract

The articles published by the Annals of Eugenics (1925–1954) have been made available online as an historical archive intended for scholarly use. The work of eugenicists was often pervaded by prejudice against racial, ethnic and disabled groups. The online publication of this material for scholarly research purposes is not an endorsement of those views nor a promotion of eugenics in any way.

No abstract

No abstract

No abstract