Suspected serial killers and unsuspected statistical blunders.

A whole branch of theoretical statistics devotes itself to the analysis of clusters, the aim being to distinguish an apparent cluster arising randomly from one that is more likely to have been produced as a result of some systematic influence. There are many examples in medicine and some that involve both medicine and the legal field; criminal law in particular. Observed clusters or a series of cases in a given setting can set off alarm bells, the recent conviction of Lucy Letby in England being an example.

Making sense of breast cancer risk estimates.

Individual probabilistic assessments on the risk of cancer, primary or secondary, will not be understood by most patients. That is the essence of our arguments in this paper. Greater understanding can be achieved by extensive, intensive, and detailed counseling.

Controlled amplification in oncology dose-finding trials.

In oncology clinical trials the guiding principle of model-based dose-finding designs for cytotoxic agents is to progress as fast as possible towards, and identify, the dose level most likely to be the MTD. Recent developments with non-cytotoxic agents have broadened the scope of early phase trials to include multiple objectives. The ultimate goal of dose-finding designs in our modern era is to collect the relevant information in the study for final RP2D determination.

Deconstructing the Kaplan-Meier curve: Quantification of treatment effect using the treatment effect process.

In studies of survival and its association with treatment and other prognostic variables, elapsed time alone will often show itself to be among the strongest, if not the strongest, of the predictor variables. Kaplan-Meier curves will show the overall survival of each group and the general differences between groups due to treatment. However, the time-dependent nature of treatment effects is not always immediately transparent from these curves.

Phase I clinical trials in adoptive T-cell therapies.

We develop three approaches to phase I dose finding designs for engineered T cells in oncology. Our goal is to address a very particular difficulty in this clinical setting: an inability to fully administer the dose allocated to some patients. Current designs can be biased as a result of this incomplete information being ignored or discarded from the analysis.

Testing for Differences in Survival When Treatment Effects Are Persistent, Decaying, or Delayed.

A statistical test for the presence of treatment effects on survival will be based on a null hypothesis (absence of effects) and an alternative (presence of effects). The null is very simply expressed. The most common alternative, also simply expressed, is that of proportional hazards.

Stopping rules for phase I clinical trials with dose expansion cohorts.

Many clinical trials incorporate stopping rules to terminate early if the clinical question under study can be answered with a high degree of confidence. While common in later-stage trials, these rules are rarely implemented in dose escalation studies, due in part to the relatively smaller sample size of these designs. However, even with a small sample size, this paper shows that easily implementable stopping rules can terminate dose-escalation early with minimal loss to the accuracy of maximum tolerated dose estimation.

Controlled backfill in oncology dose-finding trials.

The use of backfill in early phase dose-finding trials is a relatively recent practice. It consists of assigning patients to dose levels below the level where the study is at. The main reason for backfilling is to collect additional pharmacokinetic, pharmacodynamic and response data, in order to assess whether a plateau may exist on the dose-efficacy curve.

Randomised Phase 1 clinical trials in oncology.

The aims of Phase 1 trials in oncology have broadened considerably from simply demonstrating that the agent/regimen of interest is well tolerated in a relatively heterogeneous patient population to addressing multiple objectives under the heading of early-phase trials and, if possible, obtaining reliable evidence regarding clinical activity to lead to drug approvals via the Accelerated Approval approach or Breakthrough Therapy designation in cases where the tumours are rare, prognosis is poor or where there might be an unmet therapeutic need. Constructing a Phase 1 design that can address multiple objectives within the context of a single trial is not simple. Randomisation can play an important role, but carrying out such randomisation according to the principles of equipoise is a significant challenge in the Phase 1 setting.

Early phase dose-finding trials in virology.

Little has been published in terms of dose-finding methodology in virology. Aside from a few papers focusing on HIV, the considerable progress in dose-finding methodology of the last 25 years has focused almost entirely on oncology. While adverse reactions to cytotoxic drugs may be life threatening, for anti-viral agents we anticipate something different: side effects that provoke the cessation of treatment.

Coherence principles in interval-based dose finding.

This paper studies the notion of coherence in interval-based dose-finding methods. An incoherent decision is either (a) a recommendation to escalate the dose following an observed dose-limiting toxicity or (b) a recommendation to deescalate the dose following a non-dose-limiting toxicity. In a simulated example, we illustrate that the Bayesian optimal interval method and the Keyboard method are not coherent.

Consequences of Performing Parallel Dose Finding Trials in Heterogeneous Groups of Patients.

Patient heterogeneity, in which patients can be grouped by risk of toxicity, is a design challenge in early phase dose finding trials. Carrying out independent trials for each group is a readily available approach for dose finding. However, this often leads to dose recommendations that violate the known order of toxicity risk by group, or reversals in dose recommendation.

Phase I Designs that Allow for Uncertainty in the Attribution of Adverse Events.

In determining dose limiting toxicities in Phase I studies, it is necessary to attribute adverse events (AE) to being drug related or not. Such determination is subjective and may introduce bias. In this paper, we develop methods for removing or at least diminishing the impact of this bias on the estimation of the maximum tolerated dose (MTD).

Faulty BRCA1, BRCA2 genes: how poor is the prognosis?

We take a critical look at the meaning behind the number 87% given to 25-year-old Sophie, a BRCA1 and BRCA2 carrier. Sophie has been told she has an 87% chance of getting breast cancer. She is contemplating a preventive double mastectomy after genetic counseling and her physician's advice.

Dose Transition Pathways: The Missing Link Between Complex Dose-Finding Designs and Simple Decision-Making.

The ever-increasing pace of development of novel therapies mandates efficient methodologies for assessment of their tolerability and activity. Evidence increasingly support the merits of model-based dose-finding designs in identifying the recommended phase II dose compared with conventional rule-based designs such as the 3 + 3 but despite this, their use remains limited. Here, we propose a useful tool, dose transition pathways (DTP), which helps overcome several commonly faced practical and methodologic challenges in the implementation of model-based designs.

Accuracy of predictive ability measures for survival models.

One aspect of an analysis of survival data based on the proportional hazards model that has been receiving increasing attention is that of the predictive ability or explained variation of the model. A number of contending measures have been suggested, including one measure, R (β), which has been proposed given its several desirable properties, including its capacity to accommodate time-dependent covariates, a major feature of the model and one that gives rise to great generality. A thorough study of the properties of available measures, including the aforementioned measure, has been carried out recently.

Survival model construction guided by fit and predictive strength.

Survival model construction can be guided by goodness-of-fit techniques as well as measures of predictive strength. Here, we aim to bring together these distinct techniques within the context of a single framework. The goal is how to best characterize and code the effects of the variables, in particular time dependencies, when taken either singly or in combination with other related covariates.

Dose expansion cohorts in Phase I trials.

A rapidly increasing number of Phase I dose-finding studies, and in particular those based on the standard 3+3 design, are being prolonged with the inclusion of dose expansion cohorts (DEC) in order to better characterize the toxicity profiles of experimental agents and to study disease-specific cohorts. These trials consist of two phases: the usual dose escalation phase that aims to establish the maximum tolerated dose (MTD), and the dose expansion phase that accrues additional patients, often with different eligibility criteria, and where additional information is collected. Current protocols do not always specify whether and how the MTD will be updated in light of the new data accumulated from the DEC.

Integrating the escalation and dose expansion studies into a unified Phase I clinical trial.

We focus on Phase I dose finding studies as they are currently undertaken. The design and analysis of these trials have changed over the last years and, in particular, it is now rare for a Phase I study to not include one or more dose-expansion cohorts (DEC). It is common to see DEC involving several hundred patients, building on an initial dose escalation study that may have no >20 to 30 patients.

Dimension of model parameter space and operating characteristics in adaptive dose-finding studies.

Adaptive, model-based, dose-finding methods, such as the continual reassessment method, have been shown to have good operating characteristics. One school of thought argues in favor of the use of parsimonious models, not modeling all aspects of the problem, and using a strict minimum number of parameters. In particular, for the standard situation of a single homogeneous group, it is common to appeal to a one-parameter model.

Sequential monitoring of Phase I dose expansion cohorts.

A relatively recent development in the design of Phase I dose-finding studies is the inclusion of expansion cohort(s), that is, the inclusion of several more patients at a level considered to be the maximum tolerated dose established at the conclusion of the 'pure' Phase I part. Little attention has been given to the additional statistical analysis, including design considerations, that we might wish to consider for this more involved design. For instance, how can we best make use of new information that may confirm or may tend to contradict the estimate of the maximum tolerated dose based on the dose escalation phase.