Appendix A — List of Figures, Tables, and Apps

A consolidated index of every numbered figure and table in the book. Click any entry to jump to it in context.

A.1 Shinylive Apps

The simulation apps have their own archive: Shinylive Apps for Sampling Survey.

Figure 1.1 — Histogram of 1992 farm acreage
Figure 1.2 — 1992 vs. 1987 farm acreage, with the 1:1 line
Figure 1.3 — The saved high-resolution PNG, re-inserted
Figure 1.4 — Distribution of log(acres92): histogram with empirical density and normal fit

Figure 2.1 — Population distribution and sampling distribution of the SRS sample mean over 5000 repeated samples (n = 300)
Figure 2.2 — First 100 simulated 95% confidence intervals for the SRS sample mean, with coverage failures highlighted
Figure 2.3 — One realized population under the model.

Figure 3.1 — 1992 farm acreage by region stratum
Figure 3.2 — Sampling distribution of the mean under SRS, proportional, and Neyman allocation (region strata, 2000 simulations)
Figure 3.3 — 1992 farm acreage by acres82 quantile stratum
Figure 3.4 — Sampling distribution of the mean under SRS, proportional, and Neyman allocation (acres82 strata, 2000 simulations)

Figure 4.1 — Cherry tree volume vs. diameter
Figure 4.2 — Cherry tree volume vs. diameter with the fitted ratio line
Figure 4.3 — 1992 vs. 1987 county acreage with the true ratio line
Figure 4.4 — Estimator variance under repeated sampling: SRS vs. ratio estimator (2000 simulations)
Figure 4.5 — Cherry tree volume vs. diameter with the fitted regression line
Figure 4.6 — Field counts vs. photo counts of dead trees with the fitted regression line

Table 3.1 — Sample survey data for agstrat.csv, including stratum and weight
Table 3.2 — Sample summary statistics for acres92 by region stratum
Table 3.3 — Neyman-optimal allocation proportions for the seals survey zones
Table 3.4 — Population sizes and Neyman-optimal sample sizes by region stratum
Table 3.5 — Simulated mean, variance, and variance reduction by allocation method (region strata)
Table 3.6 — Simulated mean, variance, and variance reduction by allocation method (acres82 strata)

Table 4.1 — Sample data: cherry tree volume and diameter
Table 4.2 — Simulated variance and variance reduction: ratio estimator vs.
Table 4.3 — Observed vs. population stratum proportions and post-stratified sample sizes
Table 4.4 — Domain summary statistics for the teacher-aspiration dataset, by gender
Table 4.5 — Observed vs. population gender proportions and post-stratified sample sizes

Table 6.1 — Raw data: student study hours by group, with selection probabilities
Table 6.2 — Sample of U.S. county population and physician counts