Why Data Decisions Need Explicit Documentation
A population pharmacokinetic (PK) analysis depends not only on the model but also on which records enter the analysis and how those records are represented. A dose entered at the wrong time can alter the inferred concentration-time relationship. A missed sample, an implausible concentration, or an unusual participant may prompt review, but each situation calls for a different decision. If the report only says that the data were “cleaned,” readers cannot tell what was changed, what was retained, or whether the decisions affected the findings.
Good documentation connects each decision to a stated rule, a count, a reason, and its analytical consequence. Rules defined before results are examined reduce the risk of selectively handling observations to obtain a preferred result. They do not eliminate judgment: unexpected cases may require a decision not covered by the plan. In that situation, the report should identify the decision as post hoc, explain why it was made, and describe the analysis used to assess its impact.
Describe the Decision, Not Just the Label
A protocol deviation describes what happened relative to the protocol; it does not automatically determine how the data should be analyzed. For example, a blood sample collected outside its nominal time may still be usable if the actual collection time is known and the analysis uses that time. Conversely, a deviation may make a particular record unusable if a required dose or sampling time cannot be established. The report should state both the event and the analysis consequence rather than implying that every deviation led to exclusion.
Data corrections need a traceable basis. A correction is appropriate when a source record or documented review supports a different value, such as a transcription error confirmed against the original source. It is not a correction to replace an unusual but verified concentration with a more typical value. Retain the original value in the audit trail, state the corrected value and its units, identify the evidence and reason, and specify which analysis dataset used the corrected value. If the value cannot be resolved, describe that uncertainty and apply the relevant prespecified rule; do not silently choose a convenient value.
Exclusions should identify their unit and scope. A participant may be excluded from the entire population PK analysis, while a single concentration record may be excluded but the participant’s other records retained. State whether the rule applies to participants, doses, samples, or observations. Report both the number affected and the denominator, because “six excluded” has different meanings in a study of 20 participants than in one of 2,000 records. Where a participant has several affected records, do not add participant and record counts as if they were mutually exclusive.
A useful decision record gives the rule, whether it was prespecified, the number affected, and the reason. It also makes clear whether the decision was applied before model fitting or arose after model results were reviewed. The precise timing matters: a rule established before examining concentrations is not equivalent to an exclusion introduced after a high residual or an unexpected parameter estimate is observed.
Worked Example: Reporting a Sampling-Time Deviation
In a hypothetical study, 48 participants contribute 480 concentration records. The protocol specifies a nominal 2-hour sample, with a prespecified window of 1.75 to 2.25 hours. Actual collection times are available for all samples. Fourteen records fall outside the window: 9 were collected earlier than 1.75 hours and 5 later than 2.25 hours. The analysis plan specifies using documented actual times when available and excluding a concentration only if its collection time is unknown.
Apply the rule. All 14 out-of-window records have documented actual times, so none meets the exclusion condition. The 14 records are reported as protocol deviations but remain in the analysis, using their actual collection times. The fraction outside the window is \(14/480=0.02917\), or 2.92% of concentration records. This is a record-level percentage; it does not mean 2.92% of participants were affected.
Report the result. “Fourteen of 480 concentration records (2.92%) were collected outside the prespecified 1.75–2.25-hour window. The records came from 11 of 48 participants. Actual collection times were available for all 14 and were used in the analysis, as specified in the analysis plan; no records were excluded for this deviation.”
This wording separates the event from its consequence and reports participant and record denominators. It also avoids describing the timing deviation as proof that the concentrations are unusable.
Prespecified Rules and Post Hoc Decisions
A prespecified rule should be operational: a reviewer should be able to determine whether a case meets it without guessing. “Exclude unreliable samples” is too vague unless reliability is defined by observable criteria, such as a missing collection time that cannot be recovered from source documentation. State the action attached to each criterion, including whether it affects an entire participant, a particular dose, or a single record. When a rule has exceptions, specify how those exceptions are handled.
Not every decision can be anticipated. When a case falls outside the plan, document when it was identified, what information prompted review, who or what process assessed it, and why the chosen action was reasonable. If the decision was made after model results were available, say so. Transparency about timing allows readers to judge the possibility of result-driven decisions; it is more informative than presenting every decision as though it had been planned from the start.
For each decision category, counts should be internally consistent. A participant can have multiple protocol deviations, and a single deviation can affect multiple records. A flow summary can therefore report participant counts and record counts separately, while noting overlap. State whether counts refer to the dataset before or after a correction or exclusion. If a correction changes one record but does not remove it, do not count it as an excluded record.
Worked Example: Summarizing Corrections and Exclusions
In a hypothetical analysis dataset, 60 participants have 720 concentration records. Source review confirms that one collection time was transcribed as 8.0 hours instead of 0.8 hours; the original source documents 0.8 hours. Separately, the analysis plan requires a concentration to be excluded when its collection time is missing and cannot be recovered. Three records from two participants meet that rule. No other records are excluded.
Correction count. One of 720 records is corrected, so \(1/720=0.001389\), or 0.139% of records. The correction does not reduce the record count: the corrected record remains in the analysis, with its time changed from 8.0 to 0.8 hours based on the source record.
Exclusion count. Three of 720 records are excluded, or \(3/720=0.004167\), equivalent to 0.417%. Those three records came from 2 of 60 participants. The analysis therefore contains \(720-3=717\) concentration records after exclusion, including the corrected record.
Report the result. “Source review confirmed one transcription error: the collection time for one record was corrected from 8.0 to 0.8 hours, with the original source record retained for traceability. Three of 720 records (0.417%), from two participants, were excluded because collection times were missing and could not be recovered, consistent with the prespecified rule. The analysis included 717 concentration records from 60 participants after these decisions.”
The count of affected participants is not added to the record count: these are different units, and the two participants with excluded records may also have other records in the analysis.
Influential Observations: Report Influence, Then Investigate
An observation can be influential because it lies in a region of the concentration-time data with little support from other records, because it has an unusual but valid value, or because it is affected by a data or model problem. Influence is a property of the analysis: it describes how much results change when a record or participant is omitted or otherwise assessed. It is not, on its own, evidence that a record is wrong. In particular, excluding a valid extreme concentration solely because it changes an estimate can bias the analysis toward a less representative result.
Report how influence was assessed, which results were examined, the number of observations or participants flagged, and what follow-up established. If the original analysis retains the observation, say so. If a separate sensitivity analysis omits it, label that analysis as a sensitivity analysis and show the relevant comparison. When several records belong to one participant, specify whether the sensitivity analysis removes one record or all records from that participant; these answer different questions.
A useful comparison reports the primary estimate and the estimate under the alternative decision, with units and enough context to assess the size of the change. It should not imply that a sensitivity result is a replacement primary result unless the analysis plan or evidence supports that change. A conclusion that is similar across analyses may be described as robust to that particular decision; it does not establish robustness to every possible data choice.
Worked Example: Describing an Influential Participant
In a hypothetical population PK analysis of 52 participants, one participant has a verified concentration profile at the high end of the observed range. A prespecified influence review flags the participant because the estimated typical clearance changes noticeably when that participant is omitted. Source review finds no dosing, timing, or assay-record discrepancy. The primary analysis includes all 52 participants. A sensitivity analysis omits all records from the flagged participant and estimates typical clearance as 5.20 L/h in the primary analysis and 4.85 L/h in the sensitivity analysis.
Quantify the change. The absolute difference is \(5.20-4.85=0.35\) L/h. Relative to the primary estimate, the change is \((0.35/5.20)\times100=6.731\%\). The sensitivity estimate is therefore 6.73% lower than the primary estimate.
Interpret cautiously. The participant’s data were verified, so influence alone does not justify calling the profile erroneous or excluding it from the primary analysis. The report can state that the estimate changed by 0.35 L/h in a sensitivity analysis, while preserving the planned primary analysis. Whether this difference changes a clinical interpretation must be assessed in context; the arithmetic alone does not establish clinical importance.
Report the result. “One participant was flagged in the prespecified influence review. Source review found no data discrepancy, and the participant was retained in the primary analysis. Omitting all records from this participant in a sensitivity analysis changed the estimated typical clearance from 5.20 to 4.85 L/h, a decrease of 0.35 L/h (6.73% relative to the primary estimate).”
Diagnostics, Comparisons, and Limitations
Before finalizing a report, check that every stated count has a defined unit and denominator; that corrected records are not also described as excluded unless they truly were; and that participant-level and record-level counts can be reconciled. Confirm that exclusions match the stated rule and that post hoc decisions are visibly distinguished from prespecified ones. If a decision affects many records, a table can make the categories and counts easier to audit than a long narrative.
The main alternative to a strict exclusion rule is retaining records while representing their known features appropriately, such as using actual rather than nominal sampling times when documented. Neither approach is universally preferable: a record with a known deviation may remain informative, whereas a record lacking essential information may not satisfy the analysis requirements. A second alternative is to present a primary analysis under the planned rule and a sensitivity analysis under a reasonable competing rule. This reveals dependence on the decision without disguising the primary analysis.
Documentation cannot resolve every uncertainty. Source records may be incomplete, the reason for a deviation may be unknown, and sensitivity analyses can only assess the alternatives actually considered. Also, a small change in one parameter does not guarantee that all predictions or clinical conclusions are unchanged. Describe what was assessed and avoid broad claims that the data are “clean” or that results are “unaffected” unless the supporting comparisons justify those statements.
Common Pitfalls
- Wrong reasoning: “The observation is influential, so it must be an error and should be removed.” Correction: Influence indicates sensitivity of results, not invalidity. Verify the record, state the evidence, and show an appropriate sensitivity comparison.
- Wrong reasoning: “Fourteen samples were out of window, so 14 participants were excluded.” Correction: Samples and participants are different units. State how many records and how many unique participants were affected, and whether anything was excluded.
- Wrong reasoning: “We corrected the data” is enough detail. Correction: Give the original and corrected values, units, source of confirmation, and whether the record remained in the analysis.
- Wrong reasoning: A post hoc decision can be described as prespecified if it matches a sensible rule. Correction: Report when the rule was applied. A defensible decision still needs transparent timing and justification.
Check Your Understanding
Answer each question, then compare your reasoning with the solutions below.
- A hypothetical study has 30 participants and 300 concentration records. Twelve records are outside a nominal sampling window, affecting 8 participants. All actual times are known, and the plan permits their use. What should the report say, and how many records are excluded for this reason?
- A source record confirms that one recorded dose time of 12 hours should have been 1.2 hours. What information should be documented, and should this automatically count as an excluded record?
- One participant’s verified data change an estimate when omitted. Does this fact alone justify removing that participant from the primary analysis? What should be reported?
- Four records from three participants meet a prespecified exclusion rule in a dataset of 500 records and 40 participants. Calculate the record percentage excluded and identify the relevant participant count.
- A rule to exclude a particular record type was introduced after the analyst saw the model results. How should its status be described?
Solutions. (1) Report 12 of 300 records (4.00%) outside the window, from 8 of 30 participants; actual times were used under the plan, so zero records are excluded for this deviation. (2) State the original and corrected dose times, units, source evidence, and that the record was corrected and retained if it remains usable. A correction is not automatically an exclusion. (3) No. Verify the data, retain them in the primary analysis unless a separate valid rule applies, and report the influence assessment and a clearly labelled sensitivity comparison. (4) \(4/500=0.008\), so 0.800% of records are excluded; the affected participant count is 3 of 40. (5) Identify the rule and decision as post hoc, explain why it was introduced, report the affected counts, and show the effect of the decision through an appropriately labelled sensitivity analysis where feasible.