4.10 Derive expressions (4.6)–(4.8) for the simple hot deck where imputations are by simple random sampling with replacement. Assuming r/N is small and large samples, show that the proportionate variance increase of yHD1 over yR is at most 0.25, and this maximum is attained when r/n = 0.5. How do these numbers change when the hot deck is applied within adjustment cells?