crmPack
ObjectsObjects created by crmPack are almost always S4 objects.
Like all S4 objects, by default they do not render in a particularly
user-friendly way.
#> An object of class "CohortSizeDLT"
#> Slot "intervals":
#> [1] 0 1 2
#>
#> Slot "cohort_size":
#> [1] 1 3 5
Fortunately, a little known feature of knitr can put
this right at little or no cost to the end user: in the simplest case,
demonstrated below, all that needs to be done is to reference the object
in a markdown or Quarto chunk.
| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 1 | 1 |
| 1 | 2 | 3 |
| 2 | Inf | 5 |
The
knit_printmethods provided bycrmPackare not intended to be fully customisable or comprehensive. We do believe, however, that they cover the vast majority of use-cases and are easily extended using the techniques described later in this vignette.
Formatting of these objects currently only works for HMTL output. If another format - such as PDF or Microsoft Word - is required, our suggested workaround is to create the HTML output and then print or save the document to the required format.
When running code at the console, the result of an R function or
statement that is not assigned to an object is
printed. (Unless, of course, it is returned
invisiblely.) The same process appears to happen when the
chunks of a markdown or Quarto document are evaluated. But that is not
quite the case. Instead, the result is passed to an S3 function called
knit_print (Xie 2024). It is
the results of running knit_print on the returned
expression that appear in the rendered document.
As a simple demonstration of the concept, consider:
knit_print.DustySpringfield <- function(x, ...) {
"I just don't know what to do with myself"
}
lyric <- 10
lyric
#> [1] 10
class(lyric) <- "DustySpringfield"
lyric
#> I just don't know what to do with myselfThe actions of knit_print are entirely arbitrary, but
this mechanism provides developers with an easy way to provide
nicely-rendered versions of any objects that are rendered by
knitr. We have provided such methods for (almost) all
crmPack classes.
knit_print in crmPackBy default, all that needs to be done is to reference the object to
be printed in a markdown or quarto chunk. This is equivalent to
knit_print(object). However, the knit_print
methods for most crmPack classes have optional arguments
that can be used to customise the way in which the object is rendered.
To change the default value of any parameter to knit_print
the function must be called explicitly:
knit_print(cs, tox_label = "DLAE").
The most commonly needed customisations are to alter the way in which
participants and toxicities are described. These are handled by the
label and tox_label arguments to
knit_print.
These arguments can be provided either as a scalar or a vector of
length 2. If a vector, the first element is taken to describe a single
instance and the second any other number of instances. If a scalar, it
is converted to a vector, whose first element is the scalar value
provided and the second the scalar with "s" appended1.
So, for example:
A constant size of 3 participants.
A constant size of 3 subjects.
Dose units are defined by the units parameter. By
default, no units are printed.
No participants are yet evaluable.
The dose grid is 0.1, 0.3, 0.9, 2.5, 5, 10 and 15.
No participants are yet evaluable.
The dose grid is 0.1 mg/dL, 0.3 mg/dL, 0.9 mg/dL, 2.5 mg/dL, 5 mg/dL, 10 mg/dL and 15 mg/dL.
The format used to display dose levels (and other information in
other classes) can be changed with the fmt parameter:
No participants are yet evaluable.
The dose grid is 0.10 mg/dL, 0.30 mg/dL, 0.90 mg/dL, 2.50 mg/dL, 5.00 mg/dL, 10.00 mg/dL and 15.00 mg/dL.
biomarker_label and biomarker_units allow
the representation of a biomarker to be customised.
The relationships between dose and toxicity and between dose and PD biomarker will be modelled simultaneously.
A probit log normal model will describe the relationship between dose and toxicity: \[ \Phi^{-1}(Tox | d) = f(X = 1 | \theta, d) = \alpha + \beta \cdot log(d/d^*) \]where d* denotes a reference dose.
The prior for θ is given by\[ \boldsymbol\theta = \begin{bmatrix}\alpha \\ \beta\end{bmatrix}\sim N \left(\begin{bmatrix} 0.00 \\ 1.00\end{bmatrix} , \begin{bmatrix} 1.00 & 0.00 \\ 0.00 & 1.00\end{bmatrix} \right) \]
The reference dose will be 1.00.
The PD biomarker response w at dose d is
modelled as \[ w(d) \sim N(f(d), \sigma_w^2)
\]
where f(d) is a first order random walk such that
\[ f(d) = \beta_{W_i} - \beta_{W_{i - 1}}\sim N(0, 0.01 \times (d_i - d_{i - 1})) \]
The relationships between dose and toxicity and between dose and PD biomarker will be modelled simultaneously.
A probit log normal model will describe the relationship between dose and toxicity: \[ \Phi^{-1}(Tox | d) = f(X = 1 | \theta, d) = \alpha + \beta \cdot log(d/d^*) \]where d* denotes a reference dose.
The prior for θ is given by\[ \boldsymbol\theta = \begin{bmatrix}\alpha \\ \beta\end{bmatrix}\sim N \left(\begin{bmatrix} 0.00 \\ 1.00\end{bmatrix} , \begin{bmatrix} 1.00 & 0.00 \\ 0.00 & 1.00\end{bmatrix} \right) \]
The reference dose will be 1.00.
The PD biomarker response w at dose d is
modelled as \[ w(d) \sim N(f(d), \sigma_w^2)
\]
where f(d) is a first order random walk such that
\[ f(d) = \beta_{W_i} - \beta_{W_{i - 1}}\sim N(0, 0.01 \times (d_i - d_{i - 1})) \]
Some crmPack classes have slots whose values are
themselves crmPack classes. CohortSizeMax is a
simple example. In these cases, the slot values are each passed to
knit_print in turn.
| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 10 | 1 |
| 10 | Inf | 3 |
| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 1 | 1 |
| 1 | Inf | 3 |
knit_print methods for sub-classes of
RuleDesign (and related classes) offer slightly more
control. Here, an overall header for the rendition of the object is
provided by the title parameter (whose value defaults to
“Design” and the slot values are separated by sub-headers. The styling
of the overall header and sub-headers is controlled by the
level parameter. The default value of level is
2L, and the level of slots is defined recursively to be one
more than the level of the parent slot2. Class-specific
parameters are passed to slot-specific knit_print methods
using ....
A logistic log normal model will describe the relationship between dose and toxicity: \[ p(Tox | d) = f(X = 1 | \theta, d) = \frac{e^{\alpha + \beta \cdot log(d/d_{ref})}}{1 + e^{\alpha + \beta \cdot log(d/d_{ref})}} \]where dref denotes a reference dose.
The prior for θ is given by\[ \boldsymbol\theta = \begin{bmatrix}\alpha \\ log(\beta)\end{bmatrix}\sim N \left(\begin{bmatrix}-0.85 \\ 1.00\end{bmatrix} , \begin{bmatrix} 1.00 & -0.50 \\ -0.50 & 1.00\end{bmatrix} \right) \]
The reference dose will be 56.00.
If either of the following rules are TRUE:
If both of the following rules are TRUE:
≥ 3 cohorts dosed: If 3 or more cohorts have been treated.
P(0.2 ≤ prob(DLE | NBD) ≤ 0.35) ≥ 0.5: If the probability of toxicity at the next best dose is in the range [0.20, 0.35] is at least 0.50.
≥ 20 patients dosed: If 20 or more participants have been treated.
| Min | Max | Increment |
|---|---|---|
| 0 | 20 | 1.00 |
| 20 | Inf | 0.33 |
Placebo will not be administered in the trial.
The dose recommended for the next cohort will be chosen in the following way. First, doses that are ineligible according to the increments rule will be discarded. Next, any dose for which the mean posterior probability of toxicity being in the overdose range - (0.35, 1] - is 0.25 or more will also be discarded. Finally, the dose amongst those remaining which has the highest chance that the mean posterior probability of toxicity is in the target toxicity range of 0.2 to 0.35 (inclusive) will be selected.
| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 30 | 1 |
| 30 | Inf | 3 |
| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 1 | 1 |
| 1 | Inf | 3 |
No participants are yet evaluable.
The dose grid is 1, 3, 5, 10, 15, 20, 25, 40, 50, 80 and 100.
The starting dose is 3.
Slot headers can be customised using the sections
parameter. sections should be a named vector. Names should
be valid slot names for the object being rendered and values the
requested slot headers.
knit_print(
.DefaultDesign(),
level = 4,
sections = c(
"nextBest" = "Selection of the dose for the following cohort",
"startingDose" = "Initial dose"
)
)\[Output not shown.\]
It is not possible to omit slots from the rendition of a
crmPackobject. If you need to do this, you can either render the required slots individually, or override the definition ofknit_printfor the super class as demonstrated below.
To restore the default behaviour for crmPack objects,
simply wrap the object in a call to normal_print().
knit_printOne of the parameters of knitr::knit_print is
asis, with a default value of TRUE.
asis has the same effect as setting the chunk option
output to asis. This is achieved by returning
an object of class knit-asis.
Setting asis to FALSE will display the raw
HTML code generated by knit_print to be displayed.
Alternatively, it may allow easier manipulation of the return value.
csOutput1 <- knit_print(CohortSizeDLT(intervals = 0:2, cohort_size = c(1, 3, 5)))
class(csOutput1)
#> [1] "knit_asis"
csOutput1| Lower | Upper | Cohort size |
|---|---|---|
| 0 | 1 | 1 |
| 1 | 2 | 3 |
| 2 | Inf | 5 |
csOutput2 <- knit_print(CohortSizeDLT(intervals = 0:2, cohort_size = c(1, 3, 5)), asis = FALSE)
class(csOutput2)
#> [1] "character"
csOutput2
#> [1] "<table>\n<caption>Defined by the number of toxicities so far observed</caption>\n <thead>\n<tr>\n<th style=\"border-bottom:hidden;padding-bottom:0; padding-left:3px;padding-right:3px;text-align: center; \" colspan=\"2\"><div style=\"border-bottom: 1px solid #ddd; padding-bottom: 5px; \">No of toxicities</div></th>\n<th style=\"empty-cells: hide;border-bottom:hidden;\" colspan=\"1\"></th>\n</tr>\n <tr>\n <th style=\"text-align:right;\"> Lower </th>\n <th style=\"text-align:right;\"> Upper </th>\n <th style=\"text-align:right;\"> Cohort size </th>\n </tr>\n </thead>\n<tbody>\n <tr>\n <td style=\"text-align:right;\"> 0 </td>\n <td style=\"text-align:right;\"> 1 </td>\n <td style=\"text-align:right;\"> 1 </td>\n </tr>\n <tr>\n <td style=\"text-align:right;\"> 1 </td>\n <td style=\"text-align:right;\"> 2 </td>\n <td style=\"text-align:right;\"> 3 </td>\n </tr>\n <tr>\n <td style=\"text-align:right;\"> 2 </td>\n <td style=\"text-align:right;\"> Inf </td>\n <td style=\"text-align:right;\"> 5 </td>\n </tr>\n</tbody>\n</table>\n\n"But with the chunk option output set to
asis…
cat(csOutput2)
#> <table>
#> <caption>Defined by the number of toxicities so far observed</caption>
#> <thead>
#> <tr>
#> <th style="border-bottom:hidden;padding-bottom:0; padding-left:3px;padding-right:3px;text-align: center; " colspan="2"><div style="border-bottom: 1px solid #ddd; padding-bottom: 5px; ">No of toxicities</div></th>
#> <th style="empty-cells: hide;border-bottom:hidden;" colspan="1"></th>
#> </tr>
#> <tr>
#> <th style="text-align:right;"> Lower </th>
#> <th style="text-align:right;"> Upper </th>
#> <th style="text-align:right;"> Cohort size </th>
#> </tr>
#> </thead>
#> <tbody>
#> <tr>
#> <td style="text-align:right;"> 0 </td>
#> <td style="text-align:right;"> 1 </td>
#> <td style="text-align:right;"> 1 </td>
#> </tr>
#> <tr>
#> <td style="text-align:right;"> 1 </td>
#> <td style="text-align:right;"> 2 </td>
#> <td style="text-align:right;"> 3 </td>
#> </tr>
#> <tr>
#> <td style="text-align:right;"> 2 </td>
#> <td style="text-align:right;"> Inf </td>
#> <td style="text-align:right;"> 5 </td>
#> </tr>
#> </tbody>
#> </table>knit_print methodIf the methods provided in crmPack don’t do what you
want, it’s easy to roll your own, using standard S3 techniques.
The formal arguments to knitr::knit_print are
x and .... Additional arguments can be added
after ....
As an example, consider knit_print.NextBestNCRM, which
currently returns a paragraph of text:
The dose recommended for the next cohort will be chosen in the following way. First, doses that are ineligible according to the increments rule will be discarded. Next, any dose for which the mean posterior probability of toxicity being in the overdose range - (0.35, 1] - is 0.25 or more will also be discarded. Finally, the dose amongst those remaining which has the highest chance that the mean posterior probability of toxicity is in the target toxicity range of 0.2 to 0.35 (inclusive) will be selected.
You might feel this is better presented as a bulleted list. You can achieve this as follows3:
knit_print.NextBestNCRM <- function(x, ...) {
knitr::asis_output(
paste0(
"The dose recommended for the next cohort will be chosen in the following ",
"way.\n\n- First, doses that are ineligible according to the increments rule ",
"will be discarded.\n- Next, any dose for which the mean posterior probability of ",
" toxicity being in the overdose range - (",
x@overdose[1], ", ", x@overdose[2],
"] - is ",
x@max_overdose_prob,
" or more will also be discarded.\n- Finally, the dose amongst those remaining ",
"which has the highest chance that the mean posterior probability of toxicity ",
"is in the target toxicity range of ",
x@target[1],
" to ",
x@target[2],
" (inclusive) will be selected.\n\n"
)
)
}
registerS3method("knit_print", "NextBestNCRM", knit_print.NextBestNCRM)
.DefaultNextBestNCRM()The dose recommended for the next cohort will be chosen in the following way.
crmPack defines 125 classes. Custom
knit_print methods exist for 92 of them. Of the remaining
33 classes, 22 are virtual classes that will never be directly
instantiated by end users. That leaves 11 classes for which
knit_print methods may be useful. These classes are listed
below.
| Class |
|---|
| DualSimulationsSummary |
| NextBestEWOC |
| Simulations |
| StoppingExternal |
| DualSimulations |
| GeneralSimulations |
| Samples |
| DASimulations |
| IncrementsMaxToxProb |
| EffFlexi |
| McmcOptions |
The majority of these classes relate to simulation of the operating characteristics of CRM trials. Reporting of this information is likely to need customisation that is beyond the scope of a simple function4.
Except for tox_label = "toxicity", which
becomes tox_label = c("toxicity", "toxicities").↩︎
Because markdown header styles are defined only for six
levels, the greatest value for level, including values
generated by nested calls, is 6.↩︎
For simplicity, the tox_label and
asis parameters, which are defined in the current
implementation of the function, are omitted in this custom
implementation. They should be preserved in any “real world”
customisation.↩︎
The crmPack team is considering the
creation of markdown or Quarto templates that may assist in this area,
but consider this to be a long-term ambition.↩︎