{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T03:19:32Z","timestamp":1777432772105,"version":"3.51.4"},"reference-count":94,"publisher":"Elsevier","isbn-type":[{"value":"9780444820617","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1996]]},"DOI":"10.1016\/s0169-7161(96)13018-2","type":"book-chapter","created":{"date-parts":[[2005,4,18]],"date-time":"2005-04-18T19:58:53Z","timestamp":1113854333000},"page":"515-553","source":"Crossref","is-referenced-by-count":11,"title":["16 Design of spatial experiments: Model fitting and prediction"],"prefix":"10.1016","author":[{"given":"Valerii","family":"Fedorov","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0169-7161(96)13018-2_bib1","series-title":"Theory of Approximation","author":"Achieser","year":"1956"},{"key":"10.1016\/S0169-7161(96)13018-2_bib2","series-title":"Encyclopedia of Statistics, Supplemental Volume","first-page":"107","article-title":"Optimum design of experiments","author":"Atkinson","year":"1988"},{"key":"10.1016\/S0169-7161(96)13018-2_bib3","series-title":"Optimum Experimental Design","author":"Atkinson","year":"1992"},{"key":"10.1016\/S0169-7161(96)13018-2_bib4","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1214\/aos\/1176348517","article-title":"Sampling designs for estimating integrals of stochastic process","volume":"20","author":"Benhenni","year":"1992","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib5","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1214\/aos\/1176344556","article-title":"Robustness of design against autocorrelation in time, I","volume":"7","author":"Bickel","year":"1979","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib6","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/BF00058638","article-title":"On exact D-optimal designs for models with correlated observations","volume":"44","author":"Bishoff","year":"1992","journal-title":"Ann. Inst. Statist. Math."},{"key":"10.1016\/S0169-7161(96)13018-2_bib7","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0378-3758(93)90080-P","article-title":"On D-optimal designs for linear models under correlated observations with applications to a linear model with multiple response","volume":"37","author":"Bishoff","year":"1993","journal-title":"J. Statist. Plann. Inference."},{"key":"10.1016\/S0169-7161(96)13018-2_bib8","series-title":"Design of Experiments for Random Fields and Processes","author":"Brimkulov","year":"1986"},{"key":"10.1016\/S0169-7161(96)13018-2_bib9","series-title":"Green's Functions and Transfer Functions Handbook","author":"Butkovskiy","year":"1982"},{"key":"10.1016\/S0169-7161(96)13018-2_bib10","first-page":"337","article-title":"Sampling designs for time series","volume":"Vol. 5","author":"Cambanis","year":"1985"},{"key":"10.1016\/S0169-7161(96)13018-2_bib11","first-page":"47","article-title":"Sampling design for estimation of a random process","volume":"46","author":"Cambanis","year":"1993"},{"key":"10.1016\/S0169-7161(96)13018-2_bib12","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1214\/aos\/1176344791","article-title":"Design of optimal control for a regression problem","volume":"7","author":"Chang","year":"1979","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib13","first-page":"366","article-title":"Marginally restricted D-optimal designs","volume":"75","author":"Cook","year":"1980","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/S0169-7161(96)13018-2_bib14","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1080\/00401706.1980.10486162","article-title":"A comparison of algorithms for constructing exact D-optimal designs","volume":"24","author":"Cook","year":"1980","journal-title":"Technometrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib15","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1080\/02331889508802474","article-title":"Constrained optimization of experimental design","volume":"26","author":"Cook","year":"1995","journal-title":"Statistics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib16","series-title":"Statistics for Spatial Data","author":"Cressie","year":"1991"},{"key":"10.1016\/S0169-7161(96)13018-2_bib17","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1080\/01621459.1991.10475138","article-title":"Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments","volume":"31","author":"Currin","year":"1991","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/S0169-7161(96)13018-2_bib18","series-title":"Methods of Numerical Integration","author":"Davis","year":"1984"},{"key":"10.1016\/S0169-7161(96)13018-2_bib19","author":"Eaton","year":"1994"},{"key":"10.1016\/S0169-7161(96)13018-2_bib20","series-title":"Mathematical Theory of Experimental Design","year":"1983"},{"key":"10.1016\/S0169-7161(96)13018-2_bib21","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0167-9473(89)90068-6","article-title":"Random interpolation in the theory of experimental design","volume":"8","author":"Ermakov","year":"1989","journal-title":"Comput. Statist. Data Anal."},{"key":"10.1016\/S0169-7161(96)13018-2_bib22","series-title":"Theory of Optimal Experiments","author":"Fedorov","year":"1972"},{"key":"10.1016\/S0169-7161(96)13018-2_bib23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0378-3758(89)90060-8","article-title":"Optimum design of experiments with bounded density: Optimization algorithms of the exchange type","volume":"24","author":"Fedorov","year":"1989","journal-title":"J. Statist. Plann. Inference"},{"key":"10.1016\/S0169-7161(96)13018-2_bib24","series-title":"Numerical Aspects of Design and Analysis of Experiments","author":"Fedorov","year":"1975"},{"key":"10.1016\/S0169-7161(96)13018-2_bib25","series-title":"Model-Oriented Data Analysis","first-page":"165","article-title":"Experimental design technique in the optimization of a monitoring network","author":"Fedorov","year":"1988"},{"key":"10.1016\/S0169-7161(96)13018-2_bib26","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1080\/02331888908802178","article-title":"Comparison of two approaches. In the optimal design of an observation network","volume":"19","author":"Fedorov","year":"1989","journal-title":"Statistics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib27","first-page":"5","article-title":"Design of an air-pollution monitoring network. An application of experimental design theory","volume":"19","author":"Fedorov","year":"1989","journal-title":"\u00d6sterreich. Z. Statist. Informatik"},{"key":"10.1016\/S0169-7161(96)13018-2_bib28","first-page":"134","article-title":"Estimation and experimental design for second kind regression models","volume":"24","author":"Fedorov","year":"1993","journal-title":"Informatik Biometr. Epidemiol."},{"key":"10.1016\/S0169-7161(96)13018-2_bib29","doi-asserted-by":"crossref","DOI":"10.1177\/0008068319940106","article-title":"Optimal experimental design: Spatial sampling","author":"Fedorov","year":"1994","journal-title":"Calcutta Statist. Assoc. Bull."},{"key":"10.1016\/S0169-7161(96)13018-2_bib30_1","first-page":"3","article-title":"Optimal designs for time \u2014 dependent responses","author":"Fedorov","year":"1995"},{"key":"10.1016\/S0169-7161(96)13018-2_bib30_2","first-page":"57","article-title":"Optimal designs for time \u2014 dependent responses","volume":"44","author":"Fedorov","year":"1995"},{"key":"10.1016\/S0169-7161(96)13018-2_bib31","series-title":"The Design of Experiments","author":"Fisher","year":"1947"},{"key":"10.1016\/S0169-7161(96)13018-2_bib32","series-title":"Proc. Conf. Environmental Modeling and Simulation","first-page":"86","article-title":"Design a regional air pollution monitor network: An appraisal of a regression experimental approach","author":"Gribik","year":"1976"},{"key":"10.1016\/S0169-7161(96)13018-2_bib33","series-title":"Multivariate Environmental Statistics","first-page":"175","article-title":"Using entropy in the redesign of environmental monitoring network","author":"Guttorp","year":"1993"},{"key":"10.1016\/S0169-7161(96)13018-2_bib34","doi-asserted-by":"crossref","first-page":"1134","DOI":"10.1214\/aoms\/1177706446","article-title":"Minimax designs in two dimensional regression","volume":"29","author":"Hoel","year":"1965","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib35","first-page":"251","article-title":"Marginally restricted linear-optimal designs","volume":"35","author":"Huang","year":"1993","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/S0169-7161(96)13018-2_bib36","series-title":"Linear Integral Equations, Theory and Technique","author":"Kanwal","year":"1971"},{"key":"10.1016\/S0169-7161(96)13018-2_bib37","series-title":"Tchebysheff Systems: With Applications in Analysis and Statistics","author":"Karlin","year":"1966"},{"key":"10.1016\/S0169-7161(96)13018-2_bib38","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1111\/j.2517-6161.1959.tb00338.x","article-title":"Optimal experimental design","volume":"21","author":"Kiefer","year":"1959","journal-title":"J. Roy. Statist. Soc. Ser. B"},{"key":"10.1016\/S0169-7161(96)13018-2_bib39","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1214\/aos\/1176342810","article-title":"General equivalence theory for optimum designs (Approximate Theory)","volume":"2","author":"Kiefer","year":"1974","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib40","series-title":"Optimal Design and Analysis of Experiments","first-page":"123","article-title":"Optimal designs for correlation in the plane","author":"Kunert","year":"1988"},{"key":"10.1016\/S0169-7161(96)13018-2_bib41","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1214\/aoms\/1177728069","article-title":"On a measure of information provided by an experiment","volume":"27","author":"Lindley","year":"1956","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib42","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1007\/BF01032106","article-title":"Minimum norm quadratic estimation of components of spatial covariance","volume":"17","author":"Marshall","year":"1985","journal-title":"Math. Geol."},{"key":"10.1016\/S0169-7161(96)13018-2_bib43","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1093\/biomet\/73.2.247","article-title":"On the design of experiments under spatial correlation","volume":"73","author":"Martin","year":"1986","journal-title":"Biometrika"},{"key":"10.1016\/S0169-7161(96)13018-2_bib44","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-7892-5","article-title":"Spatial Variation","author":"Mat\u00e8rn","year":"1986"},{"key":"10.1016\/S0169-7161(96)13018-2_bib45","first-page":"51","article-title":"L'optimization des reseaux d'observation des champs meterologiques","volume":"6","author":"Megreditchan","year":"1979","journal-title":"La Meterologie"},{"key":"10.1016\/S0169-7161(96)13018-2_bib46","first-page":"18","article-title":"Statistical redundancy as a criterion for meterological network optimization","volume":"19","author":"Megreditchan","year":"1989","journal-title":"\u00d6sterreich. Z. Statist. Informatik"},{"key":"10.1016\/S0169-7161(96)13018-2_bib47","series-title":"Approximation Theory and Applications","first-page":"329","article-title":"Design problems for optimal surface interpolation","author":"Micchelli","year":"1981"},{"key":"10.1016\/S0169-7161(96)13018-2_bib48","first-page":"523","article-title":"Uniform optimization of weighted estimates of the Monte Carlo method","volume":"38","author":"Mikhailov","year":"1989","journal-title":"Soviet Math. Dokl."},{"key":"10.1016\/S0169-7161(96)13018-2_bib49_1","first-page":"203","article-title":"An algorithm for construction of D-optimal experimental design","volume":"16","author":"Mitchell","year":"1974","journal-title":"Technometrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib49_2","first-page":"211","article-title":"Computer construction of D-optimal \u201cfirst-order\u201d designs","volume":"16","author":"Mitchell","year":"1974","journal-title":"Technometrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib50","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1080\/00401706.1993.10485320","article-title":"Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction","volume":"35","author":"Morris","year":"1993","journal-title":"Technometrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib51","series-title":"Design measures and extended information matrices for optimal designs when the observations are correlated","author":"M\u00fcller","year":"1995"},{"key":"10.1016\/S0169-7161(96)13018-2_bib52","series-title":"Optimal designs for approximating the path of stochastic process","author":"M\u00fcller-Gronbach","year":"1993"},{"key":"10.1016\/S0169-7161(96)13018-2_bib53","first-page":"132","article-title":"Tools for computer-aided design of experiments","volume":"19","author":"Nachtsheim","year":"1987","journal-title":"J. Quality Contr."},{"key":"10.1016\/S0169-7161(96)13018-2_bib54","article-title":"Effective Observation of Random Fields","author":"N\u00e4ther","year":"1985"},{"key":"10.1016\/S0169-7161(96)13018-2_bib55","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1016\/0167-9473(92)90064-M","article-title":"A review of some exchange algorithms for constructing discrete D-optimal designs","volume":"14","author":"Nguen","year":"1992","journal-title":"Comp. Statist. Data Anal."},{"key":"10.1016\/S0169-7161(96)13018-2_bib56","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1002\/env.3170060402","article-title":"The ability of wet deposition network to detect temporal trends","volume":"6","author":"Oehlert","year":"1995","journal-title":"Environmetrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib57","doi-asserted-by":"crossref","DOI":"10.1002\/env.3170060402","article-title":"Shrinking a wet deposition network","author":"Oehlert","year":"1995","journal-title":"Atmospheric Environm."},{"key":"10.1016\/S0169-7161(96)13018-2_bib58","series-title":"Foundations of Optimum Experimental Design","author":"P\u00e1zman","year":"1986"},{"key":"10.1016\/S0169-7161(96)13018-2_bib59","series-title":"Bayesian Estimation and Experimental Design in Linear Regression Models","author":"Pilz","year":"1991"},{"key":"10.1016\/S0169-7161(96)13018-2_bib60","series-title":"Optimal Design of Experiments","author":"Puckelsheim","year":"1993"},{"key":"10.1016\/S0169-7161(96)13018-2_bib61","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1785\/BSSA0800010187","article-title":"Optimal configuration of a seismographic network: A statistical approach","volume":"80","author":"Rabinowitz","year":"1990","journal-title":"Bull. Seismol. Soc. Amer."},{"key":"10.1016\/S0169-7161(96)13018-2_bib62","series-title":"Linear Statistical Inference and its Applications","author":"Rao","year":"1973"},{"key":"10.1016\/S0169-7161(96)13018-2_bib63","series-title":"Spatial Statistics","author":"Ripley","year":"1981"},{"key":"10.1016\/S0169-7161(96)13018-2_bib64","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1214\/ss\/1177012413","article-title":"Design and analysis for computer experiments","volume":"4","author":"Sacks","year":"1989","journal-title":"Statist. Sci."},{"key":"10.1016\/S0169-7161(96)13018-2_bib65","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1214\/aoms\/1177699599","article-title":"Designs for regression problems with correlated errors","volume":"37","author":"Sacks","year":"1966","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib66","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1214\/aoms\/1177698504","article-title":"Designs for regression problems with correlated errors, many parameters","volume":"39","author":"Sacks","year":"1968","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib67","doi-asserted-by":"crossref","first-page":"2057","DOI":"10.1214\/aoms\/1177696705","article-title":"Designs for regression problems with correlated errors, III","volume":"41","author":"Sacks","year":"1970","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib68","series-title":"Proc. 12th Bieu. Sem. Canad. Math. Cong. Canad. Math. Cong.","first-page":"115","article-title":"Statistical designs and integral approximation","author":"Sacks","year":"1970"},{"key":"10.1016\/S0169-7161(96)13018-2_bib69","series-title":"SAS\/QC Software: Design of Experiments Tools","year":"1995"},{"key":"10.1016\/S0169-7161(96)13018-2_bib70","series-title":"Linear Regression Analysis","author":"Seber","year":"1977"},{"key":"10.1016\/S0169-7161(96)13018-2_bib71","series-title":"Multivariate Observations","author":"Seber","year":"1984"},{"key":"10.1016\/S0169-7161(96)13018-2_bib72","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1080\/02664768700000020","article-title":"Maximum entropy sampling","volume":"14","author":"Shewry","year":"1987","journal-title":"J. Appl. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib73","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1214\/aos\/1176349036","article-title":"Using prior information in designing intervention detection experience","volume":"21","author":"Schumacher","year":"1993","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib74","series-title":"Optimal designs for additive linear models","author":"Schwabe","year":"1994"},{"key":"10.1016\/S0169-7161(96)13018-2_bib75","series-title":"Advances in Model-Oriented Data Analysis","first-page":"77","article-title":"Designing experiments for additive nonlinear models","author":"Schwabe","year":"1995"},{"key":"10.1016\/S0169-7161(96)13018-2_bib76","series-title":"Optimal Design","author":"Silvey","year":"1980"},{"key":"10.1016\/S0169-7161(96)13018-2_bib77","first-page":"69","article-title":"Random coefficient regression models \u2014 A review","volume":"8","author":"Spjotvill","year":"1977","journal-title":"Statistics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib78","doi-asserted-by":"crossref","first-page":"1329","DOI":"10.1214\/aos\/1176344850","article-title":"A Kiefer-Wolfowitz theorem in stochastic process setting","volume":"7","author":"Spruill","year":"1979","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib79","series-title":"Approximate Calculation of Multiple Integrals","author":"Stroud","year":"1975"},{"key":"10.1016\/S0169-7161(96)13018-2_bib80","series-title":"Orthogonal Polynomials","author":"Szeg\u00f6","year":"1959"},{"key":"10.1016\/S0169-7161(96)13018-2_bib81","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1080\/00401706.1980.10486160","article-title":"Aspects of optimal design in dynamic systems","volume":"22","author":"Titterington","year":"1980","journal-title":"Technometrics"},{"key":"10.1016\/S0169-7161(96)13018-2_bib82","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1214\/aoms\/1177693331","article-title":"On the regression design problem of Sacks and Ylvisaker","volume":"42","author":"Wahba","year":"1971","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib83","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1214\/aos\/1176342814","article-title":"Regression design for some equivalence classes of kernels","volume":"2","author":"Wahba","year":"1974","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib84","series-title":"ECHIP: Version 6.0 for Windows","author":"Wheeler","year":"1994"},{"key":"10.1016\/S0169-7161(96)13018-2_bib85","first-page":"485","article-title":"Optimum submeasures with applications to finite population sampling","volume":"Vol. 2","author":"Wynn","year":"1982"},{"key":"10.1016\/S0169-7161(96)13018-2_bib86","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1214\/aos\/1176349272","article-title":"Maximum likelihood estimation of parameters under a spatial sampling scheme","volume":"21","author":"Ying","year":"1993","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib87","series-title":"A Survey of Statistical Design and Linear Models","article-title":"Design on random fields","author":"Ylvisaker","year":"1975"},{"key":"10.1016\/S0169-7161(96)13018-2_bib88","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aos\/1176350247","article-title":"Prediction and design","volume":"15","author":"Ylvisaker","year":"1987","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(96)13018-2_bib89","series-title":"Optimal Design and Analysis of Experiments","first-page":"169","article-title":"Bayesian interpolation schemes","author":"Ylvisaker","year":"1988"},{"key":"10.1016\/S0169-7161(96)13018-2_bib90","series-title":"Optimal Experimental Design for Dynamic System Identification","author":"Zarrop","year":"1979"},{"key":"10.1016\/S0169-7161(96)13018-2_bib91","series-title":"Optimal Design and Analysis of Experiments","article-title":"Optimal designs for estimating several integrals","author":"Zhigljavsky","year":"1988"},{"key":"10.1016\/S0169-7161(96)13018-2_bib92","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1080\/00401706.1991.10484771","article-title":"A comparison of spatial semivariagram estimators and corresponding ordinary kriging predictors","volume":"33","author":"Zimmerman","year":"1991","journal-title":"Technometrics"}],"container-title":["Handbook of Statistics","Design and Analysis of Experiments"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T19:30:41Z","timestamp":1735673441000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0169716196130182"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996]]},"ISBN":["9780444820617"],"references-count":94,"URL":"https:\/\/doi.org\/10.1016\/s0169-7161(96)13018-2","relation":{},"ISSN":["0169-7161"],"issn-type":[{"value":"0169-7161","type":"print"}],"subject":[],"published":{"date-parts":[[1996]]}}}