Unimodal and Isotonic L1, L2 and Linf Regression
Zhipeng Xu <xzhipeng@umich.edu>, Chenkai Sun <sunchenk@umich.edu>, Aman Karunakaran <akarunak@umich.edu>, Quentin Stout<qstout@umich.edu>
Perform L1 or L2 isotonic and unimodal regression on 1D weighted or unweighted input vector and isotonic regression on 2D weighted or unweighted input vector. It also performs L infinity isotonic and unimodal regression on 1D unweighted input vector. Reference: Quentin F. Stout (2008) <doi:10.1016/j.csda.2008.08.005>. Spouge, J., Wan, H. & Wilbur, W.(2003) <doi:10.1023/A:1023901806339>. Q.F. Stout (2013) <doi:10.1007/s00453-012-9628-4>.

Data from Unicode 5.2.0 and related utilities

Data from Unicode 6.0.0 and related utilities.

Data from Unicode 6.3.0 and related utilities.

Data from Unicode 7.0.0 and related utilities.

Data from Unicode 10.0.0 and related utilities.

Data from Unicode 11.0.0 and related utilities.

Data from Unicode 12.0.0 and related utilities.

Data from Unicode 13.0.0 and related utilities.

Data from Unicode 14.0.0 and related utilities.

Data from Unicode 15.0.0 and related utilities.

Data from Unicode 8.0.0 and related utilities.

Data from Unicode 9.0.0 and related utilities.

Dose-Finding Methods for Non-Binary Outcomes
In many phase I trials, the design goal is to find the dose associated with a certain target toxicity rate. In some trials, the goal can be to find the dose with a certain weighted sum of rates of various toxicity grades. For others, the goal is to find the dose with a certain mean value of a continuous response. This package provides the setup and calculations needed to run a dose-finding trial with non-binary endpoints and performs simulations to assess design’s operating characteristics under various scenarios. Three dose finding designs are included in this package: unified phase I design (Ivanova et al. (2009) <doi:10.1111/j.1541-0420.2008.01045.x>), Quasi-CRM/Robust-Quasi-CRM (Yuan et al. (2007) <doi:10.1111/j.1541-0420.2006.00666.x>, Pan et al. (2014) <doi:10.1371/journal.pone.0098147>) and generalized BOIN design (Mu et al. (2018) <doi:10.1111/rssc.12263>). The toxicity endpoints can be handled with these functions including equivalent toxicity score (ETS), total toxicity burden (TTB), general continuous toxicity endpoints, with incorporating ordinal grade toxicity information into dose-finding procedure. These functions allow customization of design characteristics to vary sample size, cohort sizes, target dose-limiting toxicity (DLT) rates, discrete or continuous toxicity score, and incorporate safety and/or stopping rules.