spOR: Semiparametric Targeted inference for the conditional odds...

In Larsvanderlaan/npOddsRatio: Semiparametric Targeted Maximum-Likelihood estimation of the conditional odds ratio in a partially-linear logistic-link regression model with post-treatment informative missingness.

Semiparametric Targeted inference for the conditional odds ratio with outcome missingness.

Description

Targeted estimates and inference for the odds ratio in a partially-linear logistic-link semiparametric model with 'post-treatment“ informative outcome missingness.. This version also allows for the outcome is missing-at-random conditional on A,W. The partially-linear logistic model assumes that 'logit(P(Y=1|A,W)) = b* A f(W) + h(W)' where 'h(W) = logit(P(Y=1|A=0,W))' is unspecified (nonparametric) and 'f(W)' is specified by a parametric model. Thus, only a correct parametric model is assumed for the conditional odds ratio, and all other nuisance functions are unspecified (nonparametric).

Usage

spOR(
  formula = ~1,
  W,
  A,
  Y,
  data = NULL,
  Delta = NULL,
  weights = NULL,
  W_new = W,
  data_new = data,
  glm_formula_A = NULL,
  sl3_learner_A = NULL,
  glm_formula_Y0W = NULL,
  smoothness_order_Y0W = 1,
  max_degree_Y0W = 2,
  num_knots_Y0W = c(25, 15, 5),
  reduce_basis = 0.001,
  fit_control = list(),
  sl3_learner_default = Lrnr_hal9001_custom$new(max_degree = 2, smoothness_orders = 1,
    num_knots = c(25, 15)),
  parallel = F,
  ncores = NULL,
  targeting_method = c("universal", "iterative"),
  fit_Q0W_separate = F,
  boundsOR = c(0.001, 1000),
  ...
)

Arguments

formula	An R formula object describing the functional form of the conditional log odds ratio as a fnction of 'W'. This corresponds with 'f(W)' in the partially linear logistic-link model 'logit(P(Y=1|A,W)) = b*Af(W) + h(W)'.
W	A named matrix of baseline covariates
A	A binary vector with values in (0,1) encoding the treatment assignment
Y	A binary outcome variable with values in (0,1)
Delta	A binary vector that takes the value 1 if 'Y' is osberved/not-missing and 0 otherwise.
weights	An optional vector of weights for each observation. Use with caution. This can lead to invalid inferences if included naively.
W_new	An optional matrix of new values of the baseline covariates 'W' at which to predict odds ratio.
glm_formula_A	(Not recommended). An optional R formula object describing the functional form of P(A=1|W). If provided, glm is used for the fitting. (Not recommended. This method allows for and works best with flexible machine-learning algorithms.)
sl3_learner_A	An optional tlverse/sl3 learner object used to estimate P(A=1|W). If both sl3_learner_A and glm_formula_A are not provided, a default learner is used (Lrnr_hal9001).
glm_formula_Y0W	(Not recommended). An optional R formula object describing the nuisance function 'h(W) := logit(P(Y=1|A=0,W))'in the partially linear logistic-link model 'logit(P(Y=1|A,W)) = b*Af(W) + h(W)'
smoothness_order_Y0W	Smoothness order of the nuisance function 'h(W) := logit(P(Y=1|A=0,W))'in the partially linear logistic-link model 'logit(P(Y=1|A,W)) = b*Af(W) + h(W)' to be estimated nonparametrically using the Highly Adaptive Lasso (hal9001), a powerful spline regression algorithm. 0 = discontinuous piece-wise constant function, 1 = continuous piece-wise linear, 2 = smooth piece-wise quadratic
max_degree_Y0W	Max degree of interaction (of spline basis functions) of the nuisance function 'h(W) := logit(P(Y=1|A=0,W))'in the partially linear logistic-link model 'logit(P(Y=1|A,W)) = b*Af(W) + h(W)' to be estimated nonparametrically using the Highly Adaptive Lasso (hal9001). 'max_degree=1' corresponds with an additive model, 'max_degree=2' corresponds with a bi-additive (two-way) model. This parameter significantly affects computation time.
num_knots_Y0W	A vector specifying the number of knots to use when generating 'HAL' spline basis functions of each interaction degree. For computational benefits, the number of knots should decrease exponentially with degree.
reduce_basis	See analagous argument in package hal9001.
fit_control	See analagous argument in package hal9001.
sl3_learner_default	A default sl3 Learner to be used if neither a glm formula or sl3 learner is provided for one of the nuisance functions. By default, Lrnr_hal9001 is used.
...	Other arguments to be passed to hal9001::fit_hal for fitting.

Details

NOTE: For more robust nonparametrically correct inference with no parametric assumptions, use the function instead. In the function, the user-specified parametric model is instead treated as an approximation rather than the truth.

Larsvanderlaan/npOddsRatio documentation built on May 3, 2022, 12:05 p.m.