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Copy file name to clipboardExpand all lines: vignettes/GraphicalMultiplicity.Rmd
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This document is intended to evaluate statistical significance for graphical multiplicity control when used with group sequential design [@MaurerBretz2013]. In particular, we demonstrate design and analysis of a complex oncology trial.
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There are many details building on the necessarily simple example provided by @MaurerBretz2013.
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The combination of tools provided by the **gMCPLite** and **gsDesign** packages is non-trivial, but developed in a way that is meant to be re-used in a straightforward fashion.
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The combination of tools provided by the gMCPLite and gsDesign packages is non-trivial, but developed in a way that is meant to be re-used in a straightforward fashion.
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This has been found to be particularly valuable to provide a prompt and verifiable conclusion in multiple trials such as @KEYNOTE048 where 14 hypotheses were evaluated using a template such as this.
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Given the complexity involved, substantial effort has been taken to provide methods to check hypothesis testing.
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- The initial testing is done by using sequential p-values [@LiuAnderson2008] which can then be plugged into standard graphical hypothesis testing R package, **gMCP**[@Bretz2009].
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- The initial testing is done by using sequential p-values [@LiuAnderson2008] which can then be plugged into standard graphical hypothesis testing R package, gMCP [@Bretz2009].
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- The graphical testing produces a sequence including the original multiplicity graph, followed by updated multiplicity graphs, each with a single hypothesis rejected from the previous graph.
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- The final graph, assuming not all hypotheses were rejected, provides the final Type I error available for testing each hypothesis that was not rejected.
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- Updated group sequential bounds for each hypothesis at the largest alpha-level it was evaluated can be checked vs. nominal p-values at each analysis to verify the testing conclusions reached with the above methods.
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## Session information
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You can use `sessionInfo()` to document the versions of R and R packages used to render this document.
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Note, in particular, that version 3.1 or later of the **gsDesign** package is needed.
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Note, in particular, that version 3.1 or later of the gsDesign package is needed.
Copy file name to clipboardExpand all lines: vignettes/hGraph.Rmd
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library(gridExtra)
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```
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With `gsDesign` version 3.1, we have added a function to support graphical multiplicity methods using ***`ggplot2`***, this function is migrated to the `gMCPLite` package now.
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With gsDesign version 3.1, we have added a function to support graphical multiplicity methods using ggplot2, this function is migrated to the gMCPLite package now.
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The graphical method is introduced nicely in @Bretz2011 and originally supported by the ***`gMCP`*** packages (@gMCP), and now ***`gMCPLite`*** package.
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The graphical method is introduced nicely in @Bretz2011 and originally supported by the gMCP packages (@gMCP), and now gMCPLite package.
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It was extended to group sequential design by @MaurerBretz2013.
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While the ***`gMCPLite`***
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package supports graphics, here we add the `hGraph()` function to create multiplicity graphs using the ***`ggplot2`*** package as a convenience for those desiring this format.
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We demonstrate basic formatting in this article and demonstrate use with ***`gMCPLite`*** in the other article.
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While the gMCPLite
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package supports graphics, here we add the `hGraph()` function to create multiplicity graphs using the ggplot2 package as a convenience for those desiring this format.
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We demonstrate basic formatting in this article and demonstrate use with gMCPLite in the other article.
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