This research was developed based on the Analytical Quality Assurance Cycle (AQAC) [23], a diagram that clarifies the interrelationships among method validation, measurement uncertainty, and analytical quality controls [13, 28] and illustrates how these quality assurance [13, 14] concepts are integrated to ensure traceable and reliable results. Supported by metrological traceability [13, 14, 17, 18, 23], method validation establishes whether a method is fit for its intended purpose, while measurement uncertainty quantifies the reliability and dispersion of the result. Continuous monitoring through quality control tools is essential to maintain method reliability [13–28].
The process of confirming whether the specific requirements of an analytical procedure developed for a particular objective have been met is known as method validation [14, 18]. Once a method is validated, a sample result can be considered reliable [13, 17, 18, 23–28].
However, according to the International Vocabulary of Metrology (VIM) [18], the true value of a quantity is, in principle and in practice, unknowable [18]. Some approaches assume that no single true value exists, but rather a set of true values, due to the inherently incomplete detail in the definition of a quantity [18]. Other approaches disregard the concept of a true value altogether, considering instead that the validity of a measurement result depends on its metrological compatibility and traceability [18]. In summary, the statement of a measurement result is only complete when the assigned value is accompanied by its associated measurement uncertainty.
Some performance characteristics evaluated during method validation such as linearity, precision, and accuracy, can be used as sources of uncertainty, as presented in the AQAC diagram [23]. Therefore, in this study, the measurement uncertainty associated with method validation is used as the statistical tool to assess the quality of results from analytical methods published in scientific literature.
Based on these results, the objectives of this study are to:
a) investigate the existence of a reproducibility crisis in analytical chemistry and related fields;
b) determine whether method validation was appropriately applied and whether suitable validation protocols were used;
c) evaluate, using previously validated software (ConfLab Validation and ConfLab Uncertainty) [29], whether the mathematical calculations and statistical tests employed in method validation are correct and sufficient;
d) identify the most common errors found in method validation practices;
e) assess whether the findings from items (a) to (d) are related to the estimation of measurement uncertainty; and
f) investigate whether a relationship exists between item (e) and the reproducibility crisis.
The performance characteristics of method validation [11–14] and their corresponding uncertainties were examined to investigate potential sources of the scientific reproducibility crisis in analytical chemistry. The analysis encompassed academic and scientific documents that reported the development of analytical methods, including articles, thesis, and dissertations retrieved from online platforms, databases, and virtual libraries.
Verifications were conducted by comparing the method validation results reported in the documents with those recalculated using ConfLab Software [29], a validated tool commonly employed in laboratories accredited under ISO/IEC 17025 [13] and OECD Principles of Good Laboratory Practice [14].
The validation performance characteristics [11, 12, 13] were recalculated from the raw data available in the selected documents using ConfLab Validation Software [29], which was considered the reference (or correct) value. The associated expanded measurement uncertainty for each performance characteristics was calculated using ConfLab Uncertainty Software [29], evaluating three different concentration levels per method.
The validation performance characteristics [11, 12, 13] considered in the analysis included linearity, precision, intermediate precision, accuracy, limit of quantification (LOQ), limit of detection (LOD), and expanded measurement uncertainty.