work_test_norm_global {adpss}

Construct a working test and implement an interim or the final analysis for a globally efficient adaptive design.

Description

This function is used as a routine by adaptive_analysis_norm_global and sample_size_norm_global.

Usage

work_test_norm_global(
  overall_sig_level = 0.025,
  work_beta = 0.05,
  cond_alpha = overall_sig_level,
  cost_type_1_err = 0,
  cost_type_2_err = 0,
  prev_cost = 0,
  min_effect_size = 1,
  effect_size = 0,
  basic_schedule_num = 50,
  basic_schedule_power = 2,
  basic_schedule = 0,
  prior_dist = 0,
  prev_time = 0,
  time = 0,
  next_time = 0,
  stat = 0,
  input_check = TRUE,
  out_process = FALSE,
  simpson_div = 6,
  tol_boundary = 1e-08,
  tol_cost = 1e-08
)

Arguments

overall_sig_level

Overall significance level in (0, 1). Default is 0.025.

work_beta

Type II error probability of the working test. Default is 0.05.

cond_alpha

Conditional Type I error probability in (0, 1). Default is 0.025.

cost_type_1_err

The loss caused by erroneously rejecting the null hypothesis. If 0 is specified, the loss leading to the working test with its Type I error probability being significance_level will be calculated. Default is 0.

cost_type_2_err

The loss caused by erroneously accepting the null hypothesis. If 0 is specified, the loss will be set to the value of the maximum of the basic analysis schedule. Default is 0.

prev_cost

The value of cost_type_1_err of the working test in the analysis just before the current analysis.

min_effect_size

The minimum effect size. It should be positive. The working test will be constructed to have the power of 1 - work_beta for this effect size. Default is 1.

effect_size

The effect size for which the probability of rejecting the null hypothesis will be calculated. If cost_type_1_err = 0, effect_size will be forced to be the null value, 0. Default is 0.

basic_schedule_num

The number of analysis of the working test. Default is 50.

basic_schedule_power

Determine the intervals between analyses. Default is 2.

basic_schedule

The basic analysis schedule arbitrarily specified by user.

prior_dist

Prior distribution for effect sizes of min_effect_size * 0:10 / 2.

prev_time

The time of the analysis just before the current analysis. Either prev_time or next_time should be 0. See the example below.

time

The time of the current analysis.

next_time

The time of the next analysis. Either prev_time or next_time should be 0. See the example below.

stat

The value of the current test statistic. The value of stat should be 0 at time = 0.

input_check

Indicate whether or not the arguments input by user contain invalid values.

out_process

The values used in calculation will be output in addition to the main output. Default is FALSE.

simpson_div

The precision determining the precision of numerical integration. The default value is 6.

tol_boundary

The precision in calculation of the stopping boundary of the working test.

tol_cost

The precision in calculation of the loss, cost_type_1_error.

Value

List of values of the parameters specified, information of the working test, and the conditional probability of rejecting the null hypothesis.

See Also

adaptive_analysis_norm_global for example of this function.