Qhat function

Mean Response or Restricted Mean Response Given a Treatment Regime

Estimates the mean response given a treatment regime if data is uncensored. If data is censored, estimates the restricted mean response given a treatment regime.

Qhat(y, a, g, wgt = NULL)

Arguments

• y: vector of responses. Note if logY = TRUE in censored, this value should also be the logarithm.
• a: vector of treatments received.
• g: vector of the given treatment regime.
• wgt: weights to be used if response is censored.

Returns

Returns the estimated mean response or restricted mean response.

References

Lu, W., Zhang, H. H., and Zeng. D. (2013). Variable selection for optimal treatment decision. Statistical Methods in Medical Research, 22, 493--504. PMCID: PMC3303960.

Geng, Y., Lu, W., and Zhang, H. H. (2015). On optimal treatment regimes selection for mean survival time. Statistics in Medicine, 34, 1169--1184. PMCID: PMC4355217.

Author(s)

Wenbin Lu, Hao Helen Zhang, Donglin Zeng, Yuan Geng, and Shannon T. Holloway

Examples

y <- rnorm(100)
  a <- rbinom(100,1,0.5)
  g <- integer(100)

  Qhat(y = y, a = a, g = g)