Cell means archetype

Create an informative prior archetype for cell means.

Usage

brm_archetype_cells(
  data,
  covariates = TRUE,
  prefix_interest = "x_",
  prefix_nuisance = "nuisance_",
  baseline = !is.null(attr(data, "brm_baseline")),
  baseline_subgroup = !is.null(attr(data, "brm_baseline")) && !is.null(attr(data,
    "brm_subgroup")),
  baseline_subgroup_time = !is.null(attr(data, "brm_baseline")) && !is.null(attr(data,
    "brm_subgroup")),
  baseline_time = !is.null(attr(data, "brm_baseline"))
)

Arguments

data: A classed data frame from brm_data(), or an informative prior archetype from a function like brm_archetype_successive_cells().
covariates: Logical of length 1. TRUE (default) to include any additive covariates declared with the covariates argument of brm_data(), FALSE to omit. For informative prior archetypes, this option is set in functions like brm_archetype_successive_cells() rather than in brm_formula() in order to make sure columns are appropriately centered and the underlying model matrix has full rank.
prefix_interest: Character string to prepend to the new columns of generated fixed effects of interest (relating to group, subgroup, and/or time). In rare cases, you may need to set a non-default prefix to prevent name conflicts with existing columns in the data, or rename the columns in your data. prefix_interest must not be the same value as prefix_nuisance.
prefix_nuisance: Same as prefix_interest, but relating to generated fixed effects NOT of interest (not relating to group, subgroup, or time). Must not be the same value as prefix_interest.
baseline: Logical of length 1. TRUE to include an additive effect for baseline response, FALSE to omit. Default is TRUE if brm_data() previously declared a baseline variable in the dataset. Ignored for informative prior archetypes. For informative prior archetypes, this option should be set in functions like brm_archetype_successive_cells() rather than in brm_formula() in order to make sure columns are appropriately centered and the underlying model matrix has full rank.
baseline_subgroup: Logical of length 1.
baseline_subgroup_time: Logical of length 1. TRUE to include baseline-by-subgroup-by-time interaction, FALSE to omit. Default is TRUE if brm_data() previously declared baseline and subgroup variables in the dataset. Ignored for informative prior archetypes. For informative prior archetypes, this option should be set in functions like brm_archetype_successive_cells() rather than in brm_formula() in order to make sure columns are appropriately centered and the underlying model matrix has full rank.
baseline_time: Logical of length 1. TRUE to include baseline-by-time interaction, FALSE to omit. Default is TRUE if brm_data() previously declared a baseline variable in the dataset. Ignored for informative prior archetypes. For informative prior archetypes, this option should be set in functions like brm_archetype_successive_cells() rather than in brm_formula() in order to make sure columns are appropriately centered and the underlying model matrix has full rank.

Value

A special classed tibble with data tailored to the successive differences archetype. The dataset is augmented with extra columns with the "archetype_" prefix, as well as special attributes to tell downstream functions like brm_formula() what to do with the object.

Details

In this archetype, each fixed effect is a cell mean: the group mean for a given value of treatment group and discrete time (and subgroup level, if applicable).

Prior labeling for `brm_archetype_cells()`

Within each treatment group, each model parameter is a cell mean, and the labeling scheme in brm_prior_label() and brm_prior_archetype() translate easily. For example, brm_prior_label(code = "normal(1.2, 5)", group = "B", time = "VISIT2") declares a normal(1.2, 5) prior on the cell mean of treatment group B at discrete time point VISIT2. To confirm that you set the prior correctly, compare the brms prior with the output of summary(your_archetype). See the examples for details.

Nuisance variables

In the presence of covariate adjustment, functions like brm_archetype_successive_cells() convert nuisance factors into binary dummy variables, then center all those dummy variables and any continuous nuisance variables at their means in the data. This ensures that the main model coefficients of interest are not implicitly conditional on a subset of the data. In other words, preprocessing nuisance variables this way preserves the interpretations of the fixed effects of interest, and it ensures informative priors can be specified correctly.

Prior labeling

Informative prior archetypes use a labeling scheme to assign priors to fixed effects. How it works:

1. First, assign the prior of each parameter a collection
  of labels from the data. This can be done manually or with
  successive calls to [brm_prior_label()].
2. Supply the labeling scheme to [brm_prior_archetype()].
  [brm_prior_archetype()] uses attributes of the archetype
  to map labeled priors to their rightful parameters in the model.

For informative prior archetypes, this process is much more convenient and robust than manually calling brms::set_prior(). However, it requires an understanding of how the labels of the priors map to parameters in the model. This mapping varies from archetype to archetype, and it is documented in the help pages of archetype-specific functions such as brm_archetype_successive_cells().

Examples

set.seed(0L)
data <- brm_simulate_outline(
  n_group = 2,
  n_patient = 100,
  n_time = 4,
  rate_dropout = 0,
  rate_lapse = 0
) |>
  dplyr::mutate(response = rnorm(n = dplyr::n())) |>
  brm_data_change() |>
  brm_simulate_continuous(names = c("biomarker1", "biomarker2")) |>
  brm_simulate_categorical(
    names = c("status1", "status2"),
    levels = c("present", "absent")
  )
dplyr::select(
  data,
  group,
  time,
  patient,
  starts_with("biomarker"),
  starts_with("status")
)
#> # A tibble: 600 × 7
#>    group   time   patient     biomarker1 biomarker2 status1 status2
#>    <chr>   <chr>  <chr>            <dbl>      <dbl> <chr>   <chr>  
#>  1 group_1 time_2 patient_001     -1.42      -0.287 absent  present
#>  2 group_1 time_3 patient_001     -1.42      -0.287 absent  present
#>  3 group_1 time_4 patient_001     -1.42      -0.287 absent  present
#>  4 group_1 time_2 patient_002     -1.67       1.84  absent  present
#>  5 group_1 time_3 patient_002     -1.67       1.84  absent  present
#>  6 group_1 time_4 patient_002     -1.67       1.84  absent  present
#>  7 group_1 time_2 patient_003      1.38      -0.157 absent  absent 
#>  8 group_1 time_3 patient_003      1.38      -0.157 absent  absent 
#>  9 group_1 time_4 patient_003      1.38      -0.157 absent  absent 
#> 10 group_1 time_2 patient_004     -0.920     -1.39  present present
#> # ℹ 590 more rows
archetype <- brm_archetype_cells(data)
archetype
#> # A tibble: 600 × 23
#>    x_group_1_time_2 x_group_1_time_3 x_group_1_time_4 x_group_2_time_2
#>  *            <int>            <int>            <int>            <int>
#>  1                1                0                0                0
#>  2                0                1                0                0
#>  3                0                0                1                0
#>  4                1                0                0                0
#>  5                0                1                0                0
#>  6                0                0                1                0
#>  7                1                0                0                0
#>  8                0                1                0                0
#>  9                0                0                1                0
#> 10                1                0                0                0
#> # ℹ 590 more rows
#> # ℹ 19 more variables: x_group_2_time_3 <int>, x_group_2_time_4 <int>,
#> #   nuisance_biomarker1 <dbl>, nuisance_biomarker2 <dbl>,
#> #   nuisance_status1_absent <dbl>, nuisance_status2_present <dbl>,
#> #   nuisance_baseline <dbl>, nuisance_baseline.timetime_2 <dbl>,
#> #   nuisance_baseline.timetime_3 <dbl>, patient <chr>, time <chr>,
#> #   change <dbl>, missing <lgl>, baseline <dbl>, group <chr>, …
summary(archetype)
#> # This is the "cells" informative prior archetype in brms.mmrm.
#> # The following equations show the relationships between the
#> # marginal means (left-hand side) and fixed effect parameters
#> # (right-hand side).
#> # 
#> #    group_1:time_2 = x_group_1_time_2
#> #    group_1:time_3 = x_group_1_time_3
#> #    group_1:time_4 = x_group_1_time_4
#> #    group_2:time_2 = x_group_2_time_2
#> #    group_2:time_3 = x_group_2_time_3
#> #    group_2:time_4 = x_group_2_time_4
formula <- brm_formula(archetype)
formula
#> change ~ 0 + x_group_1_time_2 + x_group_1_time_3 + x_group_1_time_4 + x_group_2_time_2 + x_group_2_time_3 + x_group_2_time_4 + nuisance_biomarker1 + nuisance_biomarker2 + nuisance_status1_absent + nuisance_status2_present + nuisance_baseline + nuisance_baseline.timetime_2 + nuisance_baseline.timetime_3 + unstr(time = time, gr = patient) 
#> sigma ~ 0 + time
prior <- brm_prior_label(
  code = "normal(1, 2.2)",
  group = "group_1",
  time = "time_2"
) |>
  brm_prior_label("normal(1, 3.3)", group = "group_1", time = "time_3") |>
  brm_prior_label("normal(1, 4.4)", group = "group_1", time = "time_4") |>
  brm_prior_label("normal(2, 2.2)", group = "group_2", time = "time_2") |>
  brm_prior_label("normal(2, 3.3)", group = "group_2", time = "time_3") |>
  brm_prior_label("normal(2, 4.4)", group = "group_2", time = "time_4") |>
  brm_prior_archetype(archetype)
prior
#>           prior class             coef group resp dpar nlpar   lb   ub source
#>  normal(1, 2.2)     b x_group_1_time_2                       <NA> <NA>   user
#>  normal(1, 3.3)     b x_group_1_time_3                       <NA> <NA>   user
#>  normal(1, 4.4)     b x_group_1_time_4                       <NA> <NA>   user
#>  normal(2, 2.2)     b x_group_2_time_2                       <NA> <NA>   user
#>  normal(2, 3.3)     b x_group_2_time_3                       <NA> <NA>   user
#>  normal(2, 4.4)     b x_group_2_time_4                       <NA> <NA>   user
class(prior)
#> [1] "brmsprior"  "data.frame"
if (identical(Sys.getenv("BRM_EXAMPLES", unset = ""), "true")) {
tmp <- utils::capture.output(
  suppressMessages(
    suppressWarnings(
      model <- brm_model(
        data = archetype,
        formula = formula,
        prior = prior,
        chains = 1,
        iter = 100,
        refresh = 0
      )
    )
  )
)
suppressWarnings(print(model))
brms::prior_summary(model)
draws <- brm_marginal_draws(
  data = archetype,
  formula = formula,
  model = model
)
summaries_model <- brm_marginal_summaries(draws)
summaries_data <- brm_marginal_data(data)
brm_plot_compare(model = summaries_model, data = summaries_data)
}