Quantifying the impact of temporal analysis of products reactor initial state uncertainties on kinetic parameters

The temporal analysis of products (TAP) reactor provides a route to extract intrinsic kinetics from transient measurements. Current TAP uncertainty quantification only considers the experimental noise present in the outlet flow signal. Additional sources of uncertainty such as initial surface coverages, catalyst zone location, inert void fraction, gas pulse intensity and pulse delay, are not included. For this reason, a framework for quantifying initial state uncertainties present in TAP experiments is presented and applied to a carbon monoxide oxidation case study. Two methods for quantifying these sources of uncertainty are introduced. The first utilizes initial state sensitivities to approximate the parameter variances and provide insights into the structural certainty of the model. The second generates parameter confidence distributions through an ensemble-based sampling algorithm. The initial state covariance matrix can ultimately be merged with the experimental noise covariance matrix, providing a unified description of the parameter uncertainties for a TAP experiment.

Stereotype Threat and Its Problems: Theory Misspecification in Research, Consequences, and Remedies

Despite the explosive growth in stereotype threat (ST) research over the decades, a substantive amount of variability in ST effects still cannot be explained by extant research. While some attribute this unexplained heterogeneity to yet unidentified ST mechanisms, we explored an alternate hypothesis that ST theory is often misspecified in experimental research design, which introduces experimental noise (and hence variability) in stereotype threat effects unlikely to be explained by extant moderators. This study used multilevel meta-analysis to examine the impact of ST misspecification in research design on ST outcomes. Results revealed that ST effects were artificially inflated in studies that failed to include essential conditions necessary for its occurrence. Because most studies in the meta-analysis had either excluded or partially included these conditions, findings from this study suggest that ST effects on women’s performance might be smaller than previously reported in primary and secondary (meta-analytic) studies.