Experimental Design: Review and Comment

Steinberg, David M.; Hunter, William G.

doi:10.1080/00401706.1984.10487928

Cited by 240 publications

(109 citation statements)

References 213 publications

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“…The techniques of experimental design [see Steinberg and Hunter, 1984] have previously been used to design aquifer tests to reliably estimate the physical process parameters defining groundwater flow and contaminant transport [e.g., Nishikawa and Yeh, 1989;McCarthy and Yeh, 1990;Yeh, 1990, 1991]. Of particular interest to the present study is the work of Cleveland and Yeh [1990,1991], who present two ments, the best we can hope to do is define broad ranges for parameters that bracket the likely values.…”

Section: Introductionmentioning

confidence: 99%

Experimental design for estimating parameters of rate‐limited mass transfer: Analysis of stream tracer studies

Wagner¹,

Harvey²

1997

Water Resources Research

237

242

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Abstract. Tracer experiments are valuable tools for analyzing the transport characteristics of streams and their interactions with shallow groundwater. The focus of this work is the design of tracer studies in high-gradient stream systems subject to advection, dispersion, groundwater inflow, and exchange between the active channel and zones in surface or subsurface water where flow is stagnant or slow moving. We present a methodology for (1) evaluating and comparing alternative stream tracer experiment designs and (2) identifying those combinations of stream transport properties that pose limitations to parameter estimation and therefore a challenge to tracer test design. The methodology uses the concept of global parameter uncertainty analysis, which couples solute transport simulation with parameter uncertainty analysis in a Monte Carlo framework. Two general conclusions resulted from this work. First, the solute injection and sampling strategy has an important effect on the reliability of transport parameter estimates. We found that constant injection with sampling through concentration rise, plateau, and fall provided considerably more reliable parameter estimates than a pulse injection across the spectrum of transport scenarios likely encountered in high-gradient streams. Second, for a given tracer test design, the uncertainties in mass transfer and storage-zone parameter estimates are strongly dependent on the experimental Damkohler number, DaI, which is a dimensionless combination of the rates of exchange between the stream and storage zones, the stream-water velocity, and the stream reach length of the experiment.

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Section: Introductionmentioning

confidence: 99%

Experimental design for estimating parameters of rate‐limited mass transfer: Analysis of stream tracer studies

Wagner¹,

Harvey²

1997

Water Resources Research

237

242

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“…There is considerable attention to these issues in the statistics and engineering literatures (e.g., Atkinson & Donev, 1992;Box & Hill, 1967;Ford, Titterington, & Kitsos, 1989;Hill, Hunter, & Wichern, 1968;Steinberg & Hunter, 1984). However, there is very little coverage of the topic in the behavioral sciences, as evidenced by the small number of articles in psychological journals on choosing the best values along a continuum in the pursuit of either of these modeling goals.…”

Section: Theoretical Issues In Model Selection and Parameter Estimationmentioning

confidence: 99%

Rich stimulus sampling for between-subjects designs improves model selection

2011

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The choice of stimulus values to test in any experiment is a critical component of good experimental design. This study examines the consequences of random and systematic sampling of data values for the identification of functional relationships in experimental settings. Using Monte Carlo simulation, uniform random sampling was compared with systematic sampling of two, three, four, or N equally spaced values along a single stimulus dimension. Selection of the correct generating function (a logistic or a linear model) was improved with each increase in the number of levels sampled, with N equally spaced values and random stimulus sampling performing similarly. These improvements came at a small cost in the precision of the parameter estimates for the generating function.

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“…This approach is based on Eq. (19) The system produced by the optimal measurement angles requires no truncation (p = 0) to reconstruct x exact , but due to perturbations induced by numerical precision the systems produced using uniform increments in the -and q-domains require truncation of 8 (p = 8) and 7 (p = 7)…”

Section: Evaluation Of Maels Measurement Anglesmentioning

confidence: 99%

Optimization of measurement angles for soot aggregate sizing by elastic light scattering, through design-of-experiment theory

Burr

Daun

Thomson

et al. 2012

Journal of Quantitative Spectroscopy and Radiative Transfer

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In multiangle elastic light scattering (MAELS) experiments, the morphology of aerosolized particles is inferred by shining collimated radiation through the aerosol and then measuring the scattered light intensity over a set of angles. In the case of soot-laden-aerosols MAELS can, in principle, be used to recover the size distribution of soot aggregates, although this involves solving an ill-posed inverse problem. This paper presents a design-of-experiment methodology for identifying the set of angles that maximizes the information content of the angular scattering measurements, thereby minimizing the ill-posedness of the underlying inverse problem. While the optimized angles highlight the physical significance of the scattering regimes, they do not improve the accuracy of size distributions reconstructed from simulated experimental data.

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Experimental Design: Review and Comment

Cited by 240 publications

References 213 publications

Experimental design for estimating parameters of rate‐limited mass transfer: Analysis of stream tracer studies

Experimental design for estimating parameters of rate‐limited mass transfer: Analysis of stream tracer studies

Rich stimulus sampling for between-subjects designs improves model selection

Optimization of measurement angles for soot aggregate sizing by elastic light scattering, through design-of-experiment theory

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