Normally distributed data with known variance

This function creates an object representing the distributional assumptions of the data: normally distributed outcomes sample from a trial with one or two arms (depending on the value of the parameter two_armed), under the assumption of known variance.

Usage

Normal(two_armed = TRUE)

Arguments

two_armed

(logical) determines whether one or two-armed trials are assumed.

Value

an object of class Normal. This object encodes the distributional assumptions of the data for usage in the functions evaluate_estimator and analyze.

Examples

evaluate_estimator(
  score = MSE(),
  estimator = SampleMean(),
  data_distribution = Normal(FALSE),
  design = get_example_design(),
  mu = c(0, 0.3, 0.6),
  sigma = 1,
  exact = FALSE
)
#> Design:                               TwoStageDesign<n1=28;0.8<=x1<=2.3:n2=9-40>
#> Data Distribution:                                          Normal<single-armed>
#> Estimator:                                                           Sample mean
#> Assumed sigma:                                                                 1
#> Assumed mu:                                                          0.0 0.3 0.6
#> Results:
#>  Expectation:                                -0.02491922  0.30567290  0.62041636
#>  Bias:                                    -0.024919220  0.005672903  0.020416356
#>  Variance:                                      0.02779122 0.03777824 0.02790974
#>  MSE:                                           0.02841219 0.03781042 0.02832657
#>