@article{bates2015fitting,
  title={Fitting Linear Mixed-Effects Models Using {lme4}},
  author={Bates, Douglas and M{\"a}chler, Martin and Bolker, Ben and Walker, Steve},
  journal={Journal of Statistical Software},
  volume={67},
  number={1},
  pages={1--48},
  year={2015},
  doi={10.18637/jss.v067.i01}
}

@article{berger2004simple,
  title={A Simple Variance Estimator for Unequal Probability Sampling Without Replacement},
  author={Berger, Yves G.},
  journal={Journal of Applied Statistics},
  volume={31},
  number={3},
  pages={305--315},
  year={2004},
  doi={10.1080/0266476042000184046}
}

@book{brewer2002combined,
  title={Combined Survey Sampling Inference: Weighing Basu's Elephants},
  author={Brewer, K. R. W.},
  publisher={Arnold},
  address={London},
  year={2002}
}

@article{chauvet2021inference,
  title={Inference Under Pivotal Sampling: Properties, Variance Estimation, and Application to Tessellation for Spatial Sampling},
  author={Chauvet, Guillaume and Le Gleut, Ronan},
  journal={Scandinavian Journal of Statistics},
  volume={48},
  number={1},
  pages={108--131},
  year={2021},
  doi={10.1111/sjos.12441},
  note={Available online in 2020; spsurvey's source code (\texttt{get\_address.R}) cites the early-view pagination (``Scand J Statist. 2020;1-24''); the formally published version is Vol. 48(1), pp. 108-131 (2021).}
}

@book{cochran1977sampling,
  title={Sampling Techniques},
  author={Cochran, William G.},
  edition={3rd},
  publisher={John Wiley \& Sons},
  address={New York},
  year={1977}
}

@article{cook1989computer,
  title={Computer-Aided Blocking of Factorial and Response-Surface Designs},
  author={Cook, R. Dennis and Nachtsheim, Christopher J.},
  journal={Technometrics},
  volume={31},
  number={3},
  pages={339--346},
  year={1989}
}

@article{cordy1993extension,
  title={An Extension of the Horvitz-Thompson Theorem to Point Sampling from a Continuous Universe},
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  journal={Statistics \& Probability Letters},
  volume={18},
  number={5},
  pages={353--362},
  year={1993},
  doi={10.1016/0167-7152(93)90028-H}
}

@article{deville1998unequal,
  title={Unequal Probability Sampling Without Replacement Through a Splitting Method},
  author={Deville, Jean-Claude and Till{\'e}, Yves},
  journal={Biometrika},
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  number={1},
  pages={89--101},
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}

@article{dumelle2022comparison,
  title={A comparison of design-based and model-based approaches for finite population spatial sampling and inference},
  author={Dumelle, Michael and Higham, Matt and Ver Hoef, Jay M and Olsen, Anthony R and Madsen, Lisa},
  journal={Methods in Ecology and Evolution},
  volume={13},
  number={9},
  pages={2018--2029},
  year={2022},
  publisher={Wiley Online Library}
}

@article{dumelle2023spmodel,
  title={spmodel: Spatial statistical modeling and prediction in R},
  author={Dumelle, Michael and Higham, Matt and Ver Hoef, Jay M},
  journal={PLoS One},
  volume={18},
  number={3},
  pages={e0282524},
  year={2023},
  publisher={Public Library of Science San Francisco, CA USA}
}

@article{dumelle2023spsurvey,
  title={spsurvey: Spatial Sampling Design and Analysis in {R}},
  author={Dumelle, Michael and Kincaid, Tom and Olsen, Anthony R and Weber, Marc},
  journal={Journal of Statistical Software},
  volume={105},
  number={3},
  pages={1--29},
  year={2023},
  doi={10.18637/jss.v105.i03}
}

@article{dumelle2025missing,
  title={Missing data in ecology: Syntheses, clarifications, and considerations},
  author={Dumelle, Michael and Trangucci, Rob and Nahlik, Amanda M and Olsen, Anthony R and Irvine, Kathryn M and Blocksom, Karen and Ver Hoef, Jay M and Fuentes, Claudio},
  journal={Ecological Monographs},
  volume={95},
  number={4},
  pages={e70037},
  year={2025},
  publisher={Wiley Online Library}
}

@article{foster2017spatially,
  title={Spatially Balanced Designs that Incorporate Legacy Sites},
  author={Foster, Scott D. and Hosack, Geoffrey R. and Lawrence, Emma and Przeslawski, Rachel and Hedge, Paul and Caley, M. Julian and Barrett, Neville S. and Williams, Alan and Li, Jin and Lynch, Tim and Dambacher, Jeffrey M. and Sweatman, Hugh P. A. and Hayes, Keith R.},
  journal={Methods in Ecology and Evolution},
  volume={8},
  number={11},
  pages={1433--1442},
  year={2017},
  doi={10.1111/2041-210X.12782}
}

@incollection{hajek1971comment,
  title={Comment on ``An Essay on the Logical Foundations of Survey Sampling, Part One'' by D. Basu},
  author={H{\'a}jek, Jaroslav},
  booktitle={Foundations of Statistical Inference},
  editor={Godambe, V. P. and Sprott, D. A.},
  pages={236},
  publisher={Holt, Rinehart and Winston},
  address={Toronto},
  year={1971}
}

@article{hansen1943theory,
  title={On the Theory of Sampling from Finite Populations},
  author={Hansen, Morris H. and Hurwitz, William N.},
  journal={Annals of Mathematical Statistics},
  volume={14},
  number={4},
  pages={333--362},
  year={1943},
  doi={10.1214/aoms/1177731356}
}

@article{hartley1962sampling,
  title={Sampling with Unequal Probabilities and Without Replacement},
  author={Hartley, H. O. and Rao, J. N. K.},
  journal={Annals of Mathematical Statistics},
  volume={33},
  number={2},
  pages={350--374},
  year={1962},
  doi={10.1214/aoms/1177704564}
}

@article{horvitz1952generalization,
  title={A Generalization of Sampling Without Replacement from a Finite Universe},
  author={Horvitz, D. G. and Thompson, D. J.},
  journal={Journal of the American Statistical Association},
  volume={47},
  number={260},
  pages={663--685},
  year={1952},
  doi={10.1080/01621459.1952.10483446}
}

@article{koch1975strategy,
  title={Strategies in the Multivariate Analysis of Data from Complex Surveys},
  author={Koch, Gary G. and Freeman, Daniel H. and Freeman, Jean L.},
  journal={International Statistical Review},
  volume={43},
  number={1},
  pages={59--78},
  year={1975}
}

@book{lohr2022sampling,
  title={Sampling: Design and Analysis},
  author={Lohr, Sharon L.},
  edition={3rd},
  publisher={CRC Press},
  address={Boca Raton, FL},
  year={2022},
  isbn={978-0-367-27950-9}
}

@article{lumley2004analysis,
  title={Analysis of Complex Survey Samples},
  author={Lumley, Thomas},
  journal={Journal of Statistical Software},
  volume={9},
  number={8},
  pages={1--19},
  year={2004},
  doi={10.18637/jss.v009.i08}
}

@manual{lumley2024survey,
  title={survey: Analysis of Complex Survey Samples},
  author={Lumley, Thomas},
  note={R package},
  year={2024},
  url={https://CRAN.R-project.org/package=survey}
}

@article{mcdonald2003review,
  title={Review of Environmental Monitoring Methods: Survey Designs},
  author={McDonald, Trent},
  journal={Environmental Monitoring and Assessment},
  volume={85},
  pages={277--292},
  year={2003}
}

@techreport{moore2019nhdplus,
  title={User's Guide for the National Hydrography Dataset Plus ({NHDPlus}) High Resolution},
  author={Moore, Richard B. and McKay, Lucinda D. and Rea, Alan H. and Bondelid, Timothy R. and Price, Curtis V. and Dewald, Thomas G. and Johnston, Craig M.},
  institution={U.S. Geological Survey},
  type={Open-File Report},
  number={2019--1096},
  year={2019},
  doi={10.3133/ofr20191096}
}

@misc{overton1987sampling,
  title={A Sampling and Analysis Plan for Streams in the National Surface Water Survey},
  author={Overton, W. Scott},
  year={1987},
  note={Unpublished manuscript, Department of Statistics, Oregon State University, Corvallis, Oregon. As cited in Dumelle, Kincaid, Olsen, and Weber (2023, \emph{Journal of Statistical Software}, 105(3)).}
}

@article{pebesma2018simple,
  title={Simple Features for {R}: Standardized Support for Spatial Vector Data},
  author={Pebesma, Edzer},
  journal={The R Journal},
  volume={10},
  number={1},
  pages={439--446},
  year={2018},
  doi={10.32614/RJ-2018-009}
}

@article{penrose1955generalized,
  title={A Generalized Inverse for Matrices},
  author={Penrose, R.},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  volume={51},
  number={3},
  pages={406--413},
  year={1955},
  doi={10.1017/S0305004100030401}
}

@article{pielou1966measurement,
  title={The Measurement of Diversity in Different Types of Biological Collections},
  author={Pielou, E. C.},
  journal={Journal of Theoretical Biology},
  volume={13},
  pages={131--144},
  year={1966},
  doi={10.1016/0022-5193(66)90013-0}
}

@article{piepho2002simple,
  title={A Simple Mixed Model for Trend Analysis in Wildlife Populations},
  author={Piepho, Hans-Peter and Ogutu, Joseph O.},
  journal={Journal of Agricultural, Biological, and Environmental Statistics},
  volume={7},
  number={3},
  pages={350--360},
  year={2002},
  doi={10.1198/108571102366}
}

@article{rao1984chisquared,
  title={On Chi-Squared Tests for Multiway Contingency Tables with Cell Proportions Estimated from Survey Data},
  author={Rao, J. N. K. and Scott, A. J.},
  journal={Annals of Statistics},
  volume={12},
  number={1},
  pages={46--60},
  year={1984},
  doi={10.1214/aos/1176346391}
}

@book{sarndal1992model,
  title={Model Assisted Survey Sampling},
  author={S{\"a}rndal, Carl-Erik and Swensson, Bengt and Wretman, Jan},
  publisher={Springer-Verlag},
  address={New York},
  year={1992}
}

@article{scott1985averaged,
  title={Averaged Shifted Histograms: Effective Nonparametric Density Estimators in Several Dimensions},
  author={Scott, D. W.},
  journal={The Annals of Statistics},
  volume={13},
  number={3},
  pages={1024--1040},
  year={1985}
}

@article{sen1953estimator,
  title={On the Estimate of the Variance in Sampling with Varying Probabilities},
  author={Sen, A. R.},
  journal={Journal of the Indian Society of Agricultural Statistics},
  volume={7},
  pages={119--127},
  year={1953}
}

@inproceedings{stehman1987estimating,
  title={Estimating the Variance of the Horvitz-Thompson Estimator in Variable Probability, Systematic Samples},
  author={Stehman, Stephen V. and Overton, W. Scott},
  booktitle={Proceedings of the Section on Survey Research Methods},
  organization={American Statistical Association},
  pages={743--748},
  year={1987}
}

@article{stevens2003variance,
  title={Variance Estimation for Spatially Balanced Samples of Environmental Resources},
  author={Stevens, Don L. and Olsen, Anthony R.},
  journal={Environmetrics},
  volume={14},
  number={6},
  pages={593--610},
  year={2003},
  doi={10.1002/env.606}
}

@article{stevens2004spatially,
  title={Spatially Balanced Sampling of Natural Resources},
  author={Stevens, Don L. and Olsen, Anthony R.},
  journal={Journal of the American Statistical Association},
  volume={99},
  number={465},
  pages={262--278},
  year={2004},
  doi={10.1198/016214504000000250}
}

@article{thomas1987small,
  title={Small-Sample Comparisons of Level and Power for Simple Goodness-of-Fit Statistics Under Cluster Sampling},
  author={Thomas, D. R. and Rao, J. N. K.},
  journal={Journal of the American Statistical Association},
  volume={82},
  number={398},
  pages={630--636},
  year={1987},
  doi={10.1080/01621459.1987.10478476}
}

@manual{tille2025sampling,
  title={sampling: Survey Sampling},
  author={Till{\'e}, Yves and Matei, Alina},
  note={R package version 2.11},
  year={2025},
  url={https://CRAN.R-project.org/package=sampling}
}

@incollection{urquhart1993comparing,
  title={Comparing Sampling Designs for Monitoring Ecological Status and Trends: Impact of Temporal Patterns},
  author={Urquhart, N. Scott and Overton, W. Scott and Birkes, David S.},
  booktitle={Statistics for the Environment},
  editor={Barnett, V. and Turkman, K. F.},
  publisher={John Wiley \& Sons},
  address={New York},
  pages={71--86},
  year={1993}
}

@article{urquhart1999designs,
  title={Designs for Detecting Trend from Repeated Surveys of Ecological Resources},
  author={Urquhart, N. Scott and Kincaid, Thomas M.},
  journal={Journal of Agricultural, Biological, and Environmental Statistics},
  volume={4},
  pages={404--414},
  year={1999},
  doi={10.2307/1400498}
}

@incollection{urquhart2012role,
  title={The Role of Monitoring Design in Detecting Trend in Long-Term Ecological Monitoring Studies},
  author={Urquhart, N. Scott},
  booktitle={Design and Analysis of Long-term Ecological Monitoring Studies},
  editor={Gitzen, R. A. and Millspaugh, J. J. and Cooper, A. B. and Licht, D. S.},
  publisher={Cambridge University Press},
  address={New York},
  pages={151--173},
  year={2012}
}

@article{vansickle2006using,
  title={Using Relative Risk to Compare the Effects of Aquatic Stressors at a Regional Scale},
  author={Van Sickle, John and Stoddard, John L. and Paulsen, Steven G. and Olsen, Anthony R.},
  journal={Environmental Management},
  volume={38},
  number={6},
  pages={1020--1030},
  year={2006},
  doi={10.1007/s00267-005-0240-0}
}

@article{vansickle2008assessing,
  title={Assessing the Attributable Risks, Relative Risks, and Regional Extents of Aquatic Stressors},
  author={Van Sickle, John and Paulsen, Steven G.},
  journal={Journal of the North American Benthological Society},
  volume={27},
  number={4},
  pages={920--931},
  year={2008},
  doi={10.1899/07-152.1}
}

@article{woodruff1952confidence,
  title={Confidence intervals for medians and other position measures},
  author={Woodruff, Ralph S},
  journal={Journal of the American Statistical Association},
  volume={47},
  number={260},
  pages={635--646},
  year={1952},
  publisher={Taylor \& Francis}
}

@article{yates1953selection,
  title={Selection Without Replacement from Within Strata with Probability Proportional to Size},
  author={Yates, F. and Grundy, P. M.},
  journal={Journal of the Royal Statistical Society: Series B},
  volume={15},
  number={2},
  pages={253--261},
  year={1953},
  doi={10.1111/j.2517-6161.1953.tb00140.x}
}
