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Table 3 Parameter precision estimates

From: Optimal experimental designs for estimating genetic and non-genetic effects underlying infectious disease transmission

Design

SD in \({{\varvec{a}}}_{{\varvec{g}}}\)

SD in \({{\varvec{a}}}_{{\varvec{f}}}\)

SD in \({{\varvec{a}}}_{{\varvec{r}}}\)

SD in \({{\varvec{\Delta}}}_{{\varvec{g}}}\)

SD in \({{\varvec{\Delta}}}_{{\varvec{f}}}\)

SD in \({{\varvec{\Delta}}}_{{\varvec{r}}}\)

Single group (no dominance estimate)

\(\frac{1.08}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{3.09}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1}{\sqrt{{kN}_{\mathrm{total}}}}\)

Pure design (no dominance estimate)

\(\frac{1.52}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1.96}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1}{\sqrt{{kN}_{\mathrm{total}}}}\)

Pure design (dominance estimate)

\(\frac{1.86}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{2.40}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1.22}{\sqrt{{kN}_{\mathrm{total}}}}\)

\(\frac{2.91}{\left|{a}_{g}\right|\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{3.76}{\left|{a}_{f}\right|\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{2.60}{\left|{a}_{r}\right|\sqrt{{kN}_{\mathrm{total}}}}\)

Mixed design (no dominance estimate)

\(\frac{1.41}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{2}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1}{\sqrt{{kN}_{\mathrm{total}}}}\)

Mixed design (dominance estimate)

\(\frac{1.73}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{2.45}{\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{1.22}{\sqrt{{kN}_{\mathrm{total}}}}\)

\(\frac{2.60}{\left|{a}_{g}\right|\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{3.67}{\left|{a}_{f}\right|\sqrt{{N}_{\mathrm{total}}}}\)

\(\frac{2.60}{\left|{a}_{r}\right|\sqrt{{kN}_{\mathrm{total}}}}\)

  1. This table provides analytically derived estimates for parameter precisions (as measured by the posterior standard deviations (SDs) in the SNP effects \({a}_{g}\), \({a}_{f}\), and \({a}_{r}\) and dominance parameters \({\Delta }_{g}\), \({\Delta }_{f}\), and \({\Delta }_{r}\)) for the optimum designs outlined in Fig. 2