Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments

© 2020 With increasing interest in on-farm experiments, there is a pressing need to develop rigorous statistical methods for analysing these experiments. The adoption of advanced technologies such as yield monitors and variable-rate fertilizer applicators has enabled farmers and researchers to colle...

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Main Authors: Rakshit, Suman, Baddeley, Adrian, Stefanova, Katia, Reeves, Karyn, Chen, Kefei, Cao, Zhanglong, Evans, Fiona, Gibberd, Mark
Format: Journal Article
Language:English
Published: Elsevier 2020
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/81646
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author Rakshit, Suman
Baddeley, Adrian
Stefanova, Katia
Reeves, Karyn
Chen, Kefei
Cao, Zhanglong
Evans, Fiona
Gibberd, Mark
author_facet Rakshit, Suman
Baddeley, Adrian
Stefanova, Katia
Reeves, Karyn
Chen, Kefei
Cao, Zhanglong
Evans, Fiona
Gibberd, Mark
author_sort Rakshit, Suman
building Curtin Institutional Repository
collection Online Access
description © 2020 With increasing interest in on-farm experiments, there is a pressing need to develop rigorous statistical methods for analysing these experiments. The adoption of advanced technologies such as yield monitors and variable-rate fertilizer applicators has enabled farmers and researchers to collect biophysical data linked to spatial information at a scale which allows them to investigate the role of spatial variability in the development of optimum management practices. A relevant topic for investigation could be: “what are the optimum rates of nitrogen and how/why do these differ across the field”? Although it has been recently understood that traditional statistical methods that are appropriate for analysing small-plot experiments are inappropriate for answering these questions, a unifying approach to inference for on-farm experiments is still missing and this limits the adoption of the technique. In this paper we propose a unifying approach to the analysis of on-farm strip experiments adapting the core ideas of local likelihood or geographically weighted regression. We propose a statistical model that allows spatial nonstationarity in modelled relationships and estimates spatially-varying parameters governing these relationships. A crucial step is bandwidth selection in implementing these models, and we develop bandwidth selection methods for two important scenarios relevant to the modelling of yield monitor data in on-farm experiments. Local t-scores have been introduced for inferential purposes and the associated problem of multiple testing has been described in the context of analysing on-farm experiments. We demonstrate in this paper how local p-values can be adjusted to overcome this problem. To illustrate the applicability of our proposed method, we analysed two publicly available datasets. Graphical displays are created to guide practitioners to make informed decisions on optimal management practices.
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institution Curtin University Malaysia
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publishDate 2020
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spelling curtin-20.500.11937-816462021-03-25T02:21:21Z Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments Rakshit, Suman Baddeley, Adrian Stefanova, Katia Reeves, Karyn Chen, Kefei Cao, Zhanglong Evans, Fiona Gibberd, Mark Science & Technology Life Sciences & Biomedicine Agronomy Agriculture Local likelihood Precision agriculture Geographically weighted regression Spatial nonstationarity Bandwidth selection Contour maps GEOGRAPHICALLY WEIGHTED REGRESSION OUT CROSS-VALIDATION FALSE DISCOVERY RATE R PACKAGE STATISTICAL-ANALYSIS MODELS AUTOCORRELATION TRIALS HETEROGENEITY PRECISION © 2020 With increasing interest in on-farm experiments, there is a pressing need to develop rigorous statistical methods for analysing these experiments. The adoption of advanced technologies such as yield monitors and variable-rate fertilizer applicators has enabled farmers and researchers to collect biophysical data linked to spatial information at a scale which allows them to investigate the role of spatial variability in the development of optimum management practices. A relevant topic for investigation could be: “what are the optimum rates of nitrogen and how/why do these differ across the field”? Although it has been recently understood that traditional statistical methods that are appropriate for analysing small-plot experiments are inappropriate for answering these questions, a unifying approach to inference for on-farm experiments is still missing and this limits the adoption of the technique. In this paper we propose a unifying approach to the analysis of on-farm strip experiments adapting the core ideas of local likelihood or geographically weighted regression. We propose a statistical model that allows spatial nonstationarity in modelled relationships and estimates spatially-varying parameters governing these relationships. A crucial step is bandwidth selection in implementing these models, and we develop bandwidth selection methods for two important scenarios relevant to the modelling of yield monitor data in on-farm experiments. Local t-scores have been introduced for inferential purposes and the associated problem of multiple testing has been described in the context of analysing on-farm experiments. We demonstrate in this paper how local p-values can be adjusted to overcome this problem. To illustrate the applicability of our proposed method, we analysed two publicly available datasets. Graphical displays are created to guide practitioners to make informed decisions on optimal management practices. 2020 Journal Article http://hdl.handle.net/20.500.11937/81646 10.1016/j.fcr.2020.107783 English Elsevier restricted
spellingShingle Science & Technology
Life Sciences & Biomedicine
Agronomy
Agriculture
Local likelihood
Precision agriculture
Geographically weighted regression
Spatial nonstationarity
Bandwidth selection
Contour maps
GEOGRAPHICALLY WEIGHTED REGRESSION
OUT CROSS-VALIDATION
FALSE DISCOVERY RATE
R PACKAGE
STATISTICAL-ANALYSIS
MODELS
AUTOCORRELATION
TRIALS
HETEROGENEITY
PRECISION
Rakshit, Suman
Baddeley, Adrian
Stefanova, Katia
Reeves, Karyn
Chen, Kefei
Cao, Zhanglong
Evans, Fiona
Gibberd, Mark
Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title_full Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title_fullStr Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title_full_unstemmed Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title_short Novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
title_sort novel approach to the analysis of spatially-varying treatment effects in on-farm experiments
topic Science & Technology
Life Sciences & Biomedicine
Agronomy
Agriculture
Local likelihood
Precision agriculture
Geographically weighted regression
Spatial nonstationarity
Bandwidth selection
Contour maps
GEOGRAPHICALLY WEIGHTED REGRESSION
OUT CROSS-VALIDATION
FALSE DISCOVERY RATE
R PACKAGE
STATISTICAL-ANALYSIS
MODELS
AUTOCORRELATION
TRIALS
HETEROGENEITY
PRECISION
url http://hdl.handle.net/20.500.11937/81646