pbvnorm

Computes the cumulative distribution function (CDF) of
the standard bivariate normal distribution with specified lower and
upper integration limits and correlation coefficient.

Performs power and sample size calculation for non-proportional hazards model using the Fleming-Harrington family of weighted log-rank tests. The sequentially calculated log-rank test score statistics are assumed to have independent increments as characterized in Anastasios A. Tsiatis (1982) <doi:10.1080/01621459.1982.10477898>. The mean and variance of log-rank test score statistics are calculated based on Kaifeng Lu (2021) <doi:10.1002/pst.2069>. The boundary crossing probabilities are calculated using the recursive integration algorithm described in Christopher Jennison and Bruce W. Turnbull (2000, ISBN:0849303168). The package can also be used for continuous, binary, and count data. For continuous data, it can handle missing data through mixed-model for repeated measures (MMRM). In crossover designs, it can estimate direct treatment effects while accounting for carryover effects. For binary data, it can design Simon's 2-stage, modified toxicity probability-2 (mTPI-2), and Bayesian optimal interval (BOIN) trials. For count data, it can design group sequential trials for negative binomial endpoints with censoring. Additionally, it facilitates group sequential equivalence trials for all supported data types. Moreover, it can design adaptive group sequential trials for changes in sample size, error spending function, number and spacing or future looks. Finally, it offers various options for adjusted p-values, including graphical and gatekeeping procedures.

Kaifeng Lu

lrstat

Power and Sample Size Calculation for Non-Proportional Hazards
and Beyond

pbvnorm function

<dl><dt>lower</dt>
<dd>A numeric vector of length 2 specifying the lower limits
of integration.</dd>
<dt>upper</dt>
<dd>A numeric vector of length 2 specifying the upper limits
of integration.</dd>
<dt>corr</dt>
<dd>A numeric value specifying the correlation coefficient of
the standard bivariate normal distribution.</dd></dl>

Arguments

Kaifeng Lu, <a href="/link/kaifenglu%40gmail.com?package=lrstat&version=0.2.15" data-mini-rdoc="lrstat::kaifenglu@gmail.com">kaifenglu@gmail.com</a>

Author

Distribution Function of the Standard Bivariate Normal — pbvnorm

<dl>

<dt>lower</dt>
<dd>A numeric vector of length 2 specifying the lower limits
of integration.</dd>


<dt>upper</dt>
<dd>A numeric vector of length 2 specifying the upper limits
of integration.</dd>


<dt>corr</dt>
<dd>A numeric value specifying the correlation coefficient of
the standard bivariate normal distribution.</dd>

</dl>

Kaifeng Lu, <a href='mailto:kaifenglu@gmail.com'>kaifenglu@gmail.com</a>

pbvnorm: Distribution Function of the Standard Bivariate Normal

Description

Usage

Value

Arguments

Author

Details

Examples