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Fit the BDLIM model with all 4 patterns of modification

Usage

bdlim4(
  y,
  exposure,
  covars,
  group,
  id = NULL,
  df,
  nits,
  nburn = round(nits/2),
  nthin = 1,
  parallel = FALSE,
  family = "gaussian"
)

Arguments

y

A vector of outcomes

exposure

A matrix of exposures with one row for each individual

covars

A matrix or data.frame of covariates This should not include the grouping factor (see group below). This may include factor variables.

group

A vector of group memberships. This should be a factor variable.

id

An optional vector of individual IDs if there are repeated measures or other groupings that a random intercept should be included for. This must be a factor variable.

df

Degrees of freedom for the weight functions

nits

Number of MCMC iterations.

nburn

Number of MCMC iterations to be discarded as burn in. The default is half if the MCMC iterations. This is only used for WAIC in this function but is passed to summary and plot functions and used there.

nthin

Thinning factors for the MCMC. This is only used for WAIC in this function but is passed to summary and plot functions and used there.

parallel

Logical to use parallel computing for 4 models. If TRUE then the min of 4 and number of cores available will be used.

family

Family of model to be used. Supported options are "gaussian" for a normal/Gaussian linear model and "binomial" for a logistic model.

Value

A list of results from each different pattern of modification and model compassion metrics

Examples

# \donttest{

# run BDLIM with modification by ChildSex
fit_sex <- bdlim4(
  y = sbd_bdlim$bwgaz,
  exposure = sbd_bdlim[,paste0("pm25_",1:37)],
  covars = sbd_bdlim[,c("MomPriorBMI","MomAge","race","Hispanic",
                                   "EstMonthConcept","EstYearConcept")],
  group = as.factor(sbd_bdlim$ChildSex),
  df = 5,
  nits = 5000,
  parallel = FALSE
)
#> fitting bw
#> Start MCMC for bdlim1 with w_free=TRUE and b_free=TRUE.
#> 
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#> End MCMC for bdlim1 with w_free=TRUE and b_free=TRUE.
#> fitting b
#> Start MCMC for bdlim1 with w_free=FALSE and b_free=TRUE.
#> 
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#> End MCMC for bdlim1 with w_free=FALSE and b_free=TRUE.
#> fitting w
#> Start MCMC for bdlim1 with w_free=TRUE and b_free=FALSE.
#> 
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#> End MCMC for bdlim1 with w_free=TRUE and b_free=FALSE.
#> fitting n
#> Start MCMC for bdlim1 with w_free=FALSE and b_free=FALSE.
#> 
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#> End MCMC for bdlim1 with w_free=FALSE and b_free=FALSE.
#> postprocessing
#> postprocessing

# show model comparison results
fit_sex
#> 
#> Call:
#> bdlim4(y = sbd_bdlim$bwgaz, exposure = sbd_bdlim[, paste0("pm25_", 
#>     1:37)], covars = sbd_bdlim[, c("MomPriorBMI", "MomAge", "race", 
#>     "Hispanic", "EstMonthConcept", "EstYearConcept")], group = as.factor(sbd_bdlim$ChildSex), 
#>     df = 5, nits = 5000, parallel = FALSE)
#> 
#> Modification pattern probabilities (higher is better fit):
#>   *bw*      b      w      n 
#> 0.5456 0.3416 0.1124 0.0004 
#> 
#> Modification pattern WAIC (lower is better fit):
#>       *bw*        b        w        n
#> 1 1633.764 1637.615 1645.567 1654.865
#> 
#> Note: Model probabilities tend to favor more complex models compared to WAIC. It is recomended to use model probabilities for selecting the modification pattern and WAIC to compare degrees of freedom for the weight function.

#summarize results
sfit_sex <- summary(fit_sex)
sfit_sex
#> 
#> Call:
#> bdlim4(y = sbd_bdlim$bwgaz, exposure = sbd_bdlim[, paste0("pm25_", 
#>     1:37)], covars = sbd_bdlim[, c("MomPriorBMI", "MomAge", "race", 
#>     "Hispanic", "EstMonthConcept", "EstYearConcept")], group = as.factor(sbd_bdlim$ChildSex), 
#>     df = 5, nits = 5000, parallel = FALSE)
#> 
#> 
#> Model fit statistics:
#>   *bw*      b      w      n 
#> 0.5456 0.3416 0.1124 0.0004 
#> 
#> 
#> Estimated cumulative effects:
#>  group        mean       median         sd       q2.5      q97.5 pr_gr0
#>      F -0.01608343 -0.008229913 0.07083988 -0.1724265  0.1197891 0.4256
#>      M -0.43363758 -0.435305692 0.07711269 -0.5880408 -0.2832987 0.0000
#> 
#> 
#> Estimated covariate regression coefficients:
#>                 name         mean       median          sd         q2.5
#>           interceptF  5.278538653  5.070983415 6.336379466 -6.575147560
#>           interceptM  5.664975804  5.484562447 6.328290944 -6.205027920
#>          MomPriorBMI -0.016020922 -0.016050366 0.003230045 -0.022331360
#>               MomAge  0.001093661  0.001154762 0.002951710 -0.004755115
#>          raceAsianPI -0.018947564 -0.020925188 0.171745615 -0.352865129
#>            raceBlack -0.102637735 -0.100090112 0.174283669 -0.441498463
#>            racewhite -0.049336987 -0.049902175 0.163630367 -0.378538554
#>  HispanicNonHispanic  0.256012120  0.256027859 0.039394655  0.180281696
#>     EstMonthConcept2 -0.146221227 -0.145617303 0.094384198 -0.333945626
#>     EstMonthConcept3 -0.093459064 -0.092724901 0.095563132 -0.278361663
#>     EstMonthConcept4 -0.164733740 -0.162331570 0.097004329 -0.358848748
#>     EstMonthConcept5 -0.092559965 -0.091502663 0.086376357 -0.261582186
#>     EstMonthConcept6 -0.184273549 -0.183465479 0.086373491 -0.353701061
#>     EstMonthConcept7 -0.036009722 -0.035264775 0.089216634 -0.205312833
#>     EstMonthConcept8  0.161888234  0.164625327 0.095495604 -0.026796619
#>     EstMonthConcept9  0.332385823  0.330482413 0.091653602  0.154680023
#>    EstMonthConcept10  0.423873369  0.423399325 0.094946955  0.234920836
#>    EstMonthConcept11  0.227400294  0.230184816 0.088759398  0.053128430
#>    EstMonthConcept12  0.076160607  0.075506887 0.086141383 -0.087915080
#>       EstYearConcept -0.001932922 -0.001851728 0.003145526 -0.008085546
#>         q97.5 pr_gr0
#>  17.504676147 0.7928
#>  18.007998690 0.8136
#>  -0.009612173 0.0000
#>   0.006657285 0.6384
#>   0.332788707 0.4452
#>   0.245221405 0.2764
#>   0.277807296 0.3800
#>   0.332383480 1.0000
#>   0.032611765 0.0584
#>   0.089528391 0.1672
#>   0.021103705 0.0444
#>   0.071948219 0.1436
#>  -0.016575141 0.0180
#>   0.131519707 0.3452
#>   0.351393862 0.9556
#>   0.514996689 1.0000
#>   0.609770145 1.0000
#>   0.397280953 0.9964
#>   0.245231913 0.8088
#>   0.003937899 0.2760
#> 
#> 
#> BDLIM fit on 1000 observations. Estimated residual standard deviation is 0.541 (0.518,0.566). WAIC is 1633.764.
#> 
#> Use `plot(); for the summary.bdlim4 object to view estimated distributed lag functions. The `dlfun' object in the summary object contains estimates of the lag functions.
# graph the estimated distributed lag functions for each group
plot(sfit_sex)


# }