Fit a bank-based MBMM analysis

Convenience wrapper that first scores every subject against class-specific mechanistic reference banks and then fits the covariate-linked MBMM gate.

Usage

mbmm(
  obs_list,
  bank_pred_list,
  sigma,
  formula,
  data,
  classes = NULL,
  ridge = 1e-04,
  penalty = "ridge",
  n_perm = 0,
  seed = NULL,
  id_col = "id",
  donor_col = "id",
  bundle_col = "bundle_id",
  log_scale = TRUE,
  donor_weighting = c("equal", "particle"),
  loo = TRUE,
  verbose = TRUE,
  maxit = 4000
)

Arguments

obs_list: Named list of subject observation data.frames. Names must contain unique subject IDs.
bank_pred_list: Named list of class-specific bank-prediction tables. Names define the latent-class labels.
sigma: Measurement-error SD passed to mbmm_class_loglik.
formula: One-sided gate-model formula, such as ~ baseline_antibody or ~ arm.
data: Covariate data.frame containing one row per subject.
classes: Optional character vector fixing the latent-class order. Defaults to names(bank_pred_list).
ridge: Nonnegative ridge penalty used when penalty = "ridge".
penalty: Either "ridge" or "none".
n_perm: Number of optional gate permutations.
seed: Optional permutation-test seed.
id_col: Name of the subject-ID column in data.
donor_col: Name of the donor-ID column in the bank tables.
bundle_col: Name of the bundle-ID column in the bank tables.
log_scale: Whether observations, predictions, and LOD values are already on the log10 likelihood scale.
donor_weighting: Either "equal" or "particle". Equal donor weighting is the manuscript-oriented default.
loo: Logical scalar or class-named logical vector controlling leave-one-subject/donor-out scoring.
verbose: Print scoring progress.
maxit: Maximum gate optimizer iterations.

Value

An object of class "mbmm_fit" containing the scored class-conditional likelihoods and fitted gate.

Details

This wrapper is appropriate when every latent class is represented by a mechanistic trajectory bank, such as a boost-responsive versus weak/stable phenotype analysis.

For productive-infection analyses in which the non-establishment class uses an analytic likelihood rather than a second trajectory bank, use mbmm_productive_infection.

For binary models, gate coefficients describe the log-odds of the first class in classes relative to the second class.

Examples

obs_list <- list(
  S1 = data.frame(time = 0:1, y = c(1.0, 1.1)),
  S2 = data.frame(time = 0:1, y = c(1.2, 0.9)),
  S3 = data.frame(time = 0:1, y = c(1.1, 1.0)),
  S4 = data.frame(time = 0:1, y = c(4.8, 5.1)),
  S5 = data.frame(time = 0:1, y = c(5.2, 4.9)),
  S6 = data.frame(time = 0:1, y = c(5.0, 5.3))
)

bank_low <- data.frame(
  id = "donorA",
  bundle_id = 1,
  time = 0:1,
  pred = c(1, 1)
)

bank_high <- data.frame(
  id = "donorB",
  bundle_id = 1,
  time = 0:1,
  pred = c(5, 5)
)

covariates <- data.frame(
  id = paste0("S", 1:6),
  x = c(-1.2, -0.8, -0.4, 0.4, 0.8, 1.2)
)

fit <- mbmm(
  obs_list = obs_list,
  bank_pred_list = list(
    low = bank_low,
    high = bank_high
  ),
  sigma = 0.3,
  formula = ~x,
  data = covariates,
  classes = c("low", "high"),
  id_col = "id",
  loo = FALSE,
  verbose = FALSE
)

fit
#> MBMM fit
#>   classes: low vs high 
#>   scoring: bank-versus-bank 
#>   n subjects scored: 6 
#> MBMM gate model
#>   classes: low vs high 
#>   method: direct-marginal-optimization 
#>   penalty: ridge 
#>   ridge: 1e-04 
#>   n subjects: 6 
#>   optimizer convergence: full = 0 , null = 0 
#>   unpenalized logLik: full = 1.97207 , null = -2.18292 
#>   LRT = 8.31 on df = 1  -> p = 0.003943 
#> 
#> Gate coefficients:
#>         term      estimate   odds_ratio
#>  (Intercept) -1.289454e-11 1.000000e+00
#>            x -1.560373e+01 1.672573e-07