Hi

As Thierry points out INLA is certainly one way to go. Very powerful. For some 
inspiration see the tutorials and example on the INLA web site. Perhaps the 
geostatinla package for R (http://pbrown.ca/geostatsp/document-rev.pdf) can be 
of use for you. Also the section on geoadditive models in 
http://www.rni.helsinki.fi/~jmh/mrf08/R-INLA.pdf may give you some ideas.

The nlme package for R can fit the same kind of models, see e.g. 
http://www.ats.ucla.edu/stat/r/faq/spatial_regression.htm. 


Yours sincerely / Med venlig hilsen


Frede Aakmann Tøgersen
Specialist, M.Sc., Ph.D.
Plant Performance & Modeling

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> -----Original Message-----
> From: [email protected] [mailto:r-sig-geo-bounces@r-
> project.org] On Behalf Of ONKELINX, Thierry
> Sent: 25. september 2014 09:27
> To: Justice Moses K. Aheto; [email protected]
> Subject: Re: [R-sig-Geo] Spatial and multilevel model with
> kriging/interpolation in R
> 
> Have a look at the INLA package (www.r-inla.org)
> 
> Best regards,
> 
> ir. Thierry Onkelinx
> Instituut voor natuur- en bosonderzoek / Research Institute for Nature and
> Forest
> team Biometrie & Kwaliteitszorg / team Biometrics & Quality Assurance
> Kliniekstraat 25
> 1070 Anderlecht
> Belgium
> + 32 2 525 02 51
> + 32 54 43 61 85
> [email protected]
> www.inbo.be
> 
> To call in the statistician after the experiment is done may be no more than
> asking him to perform a post-mortem examination: he may be able to say
> what the experiment died of.
> ~ Sir Ronald Aylmer Fisher
> 
> The plural of anecdote is not data.
> ~ Roger Brinner
> 
> The combination of some data and an aching desire for an answer does not
> ensure that a reasonable answer can be extracted from a given body of data.
> ~ John Tukey
> 
> -----Oorspronkelijk bericht-----
> Van: [email protected] [mailto:r-sig-geo-bounces@r-
> project.org] Namens Justice Moses K. Aheto
> Verzonden: donderdag 25 september 2014 4:25
> Aan: [email protected]
> Onderwerp: [R-sig-Geo] Spatial and multilevel model with
> kriging/interpolation in R
> 
> Dear All,
> Please, I wish to analyse a spatial data in R through multilevel approach with
> my main primary objective been to interpolate for unsampled locations in my
> study region. Children in my data set are nested within households in the
> study locations and my multilevel model (without spatial) showed significant
> household random effects hence my choice to employ spatial analysis with
> multilevel approach.
> The need to include household random effects in my spatial model makes it a
> bit difficult for me to implement in R unlike the standard geostatical 
> analysis.
> I have 'SpatialPointsDataFrame' containing my geographical coordinates
> (longitude and latitude) as well as my response and covariates.
> The spatial mixed effects model I wish to fit and interpolate is: Yij(t) = 
> Xij(t)β
> +hj+S(t)+Ɛij           (1)
> where
> i=individual child, j=household, X(t)= spatial referenced non-random
> covariates, S(t)= spatially correlated stationary Gaussian process.
> Ɛij =nugget effect/measurement error, Yij(t) = response of child i in
> household j at location t and is a continuous variable, hj =household level
> random effects and β=regression coefficients (spatial trend parameter).
> Specifically, S(t)~N(0,σ2H11(ɸ) ), where σ2  is the variance (partial sill),
> H11(ɸ) is the correlation matrix based on valid correlation function h(u; ɸ),
> where u is the distance between locations and ɸ is the correlation parameter
> (range).
> hj~N(0, σ2h), where σ2h is the household level variance Ɛij~N(0,τ2), where
> τ2 is the nugget effect/measurement error.
> 
> I am trying to achieve the above task through geostatistical analysis but 
> other
> methods which can be implemented in R are also welcomed.
> 
> 
> Please, could somebody help me with some papers in the literature, existing
> packages in R which are related to my problem as well as providing me with R
> codes to implement this assuming someone has already done this kind of
> multilevel spatial regression and interpolation in R or other packages.
> 
> Many thanks for your help in advance.
> 
> 
> Kind regards
> 
> *****************************************
> Justice Moses K. Aheto
> PhD Candidate in Medicine (United Kingdom) MSc Medical Statistics (United
> Kingdom) BSc Statistics (Ghana) HND Statistics (Ghana)
> 
> Chief Executive Officer
> Statistics and Analytics Consultancy Services Ltd.
> 
> Skype: jascall12
> Mobile:
>  +447417589148.
>         [[alternative HTML version deleted]]
> 
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