scholarly journals Noise in the process: an assessment of the evidential value of mediation effects in marketing journals

2021 ◽  
Author(s):  
Aaron Charlton ◽  
Amanda Kay Montoya ◽  
John Price ◽  
Joseph Hilgard

Mediation analysis plays a central role in marketing research due to its usefulness in helping to explain complex processes. Like other forms of inference, mediation analyses are susceptible to false positive results. This is particularly true when analytic decisions are based on the data, rather than a priori hypotheses. To assess the collective evidential value of mediation analyses in marketing, we used an approach first implemented by Götz and colleagues (2021) that (1) measures the relative proximity of confidence intervals to zero (RP) and (2) aggregates a related set of RP scores into a single distribution. For our analysis, we compared the RP distribution of top marketing journals (2018-20) to simulations of low power, adequate power, and null effects. We also compared the marketing journals to real-world data from Journal of Personality and Social Psychology (JPSP) (2018-20). We found that, in terms of evidential value, mediation analyses in marketing substantially deviated from simulations of adequate power and JPSP but were similar to simulations of low power and null effects. We propose study preregistration, corrections for multiple testing, and increased statistical power as solutions to increase evidence quality going forward.

2020 ◽  
Author(s):  
Daniel J. Dunleavy

Background. In recent years, the veracity of scientific findings has come under intense scrutinyin what has been called the “replication crisis” (sometimes called the “reproducibility crisis” or“crisis of confidence”). This crisis is marked by the propagation of scientific claims which weresubsequently contested, found to be exaggerated, or deemed false. The causes of this crisis aremany, but include poor research design, inappropriate statistical analysis, and the manipulationof study results. Though it is uncertain if social work is in the midst of a similar crisis, it is notunlikely, given parallels between the field and adjacent disciplines in crisis.Objective. This dissertation aims to articulate these problems, as well as foundational issues instatistical theory, in order to scrutinize statistical practice in social work research. In doing so, itparallels recent work in psychology, neuroscience, medicine, ecology, and other scientificdisciplines, while introducing a new program of meta-research to the social work profession.Method. Five leading social work journals were analyzed across a five-year period (2014-2018).In all 1,906 articles were reviewed, with 310 meeting inclusion criteria. The study was dividedinto three complementary parts. Statistical reporting practices were coded and analyzed in Part 1of the study (n = 310). Using reported sample sizes from these articles, a power survey wasperformed, in Part 2, for small, medium, and large effect sizes (n = 207). A novel statistical tool,the p-curve, was used in Part 3 to evaluate the evidential value of results from one journal(Research on Social Work Practice) and to assess for bias. Results from 39 of the 78 eligiblearticles were included in the analysis. Data and materials are available at: https://osf.io/45z3h/Results. Part 1: Notably, 86.1% of articles reviewed did not report an explicit alpha level. Apower analysis was performed in only 7.4% of articles. Use of p-values was common, beingreported in 96.8% of articles, but only 29% of articles reported them in exact form. Only 36.5%of articles reported confidence intervals; with the 95% coverage rate being the most common(reported in 31.3% of all studies). Effect sizes were explicitly reported in the results section ortables in a little more than half of articles (55.2%). Part 2: The mean statistical power for articleswas 57% for small effects, 88% for medium effects, and 95% for large effects. 61% of studiesdid not have adequate power (.80) to detect a small effect, 19% did not have adequate power todetect a medium effect, and 7% a large effect. A robustness test yielded similar but moreconservative estimates for these findings. Part 3: Both the primary p-curve and robustness testyielded right-skewed curves, indicating evidential value for the included set of results, and noevidence of bias.Conclusion. Overall, these findings provide a snapshot of the status of contemporary social workresearch. The results are preliminary but indicate areas where statistical design and reporting canbe improved in published research. The results of the power survey suggest that the field hasincreased mean statistical power compared to prior decades; though these findings are tentativeand have numerous limitations. The results of the p-curve demonstrate its potential as a tool forinvestigating bias within published research; while suggesting that the results included fromResearch on Social Work Practice have evidential value. In all this study provides a first steptowards a broader and more comprehensive assessment of the field.


2019 ◽  
Author(s):  
Peter E Clayson ◽  
Kaylie Amanda Carbine ◽  
Michael J. Larson

Performance-monitoring event-related brain potentials (ERPs), such as the error-related negativity (ERN) and reward positivity (RewP), are advocated as biomarkers of depression symptoms and risk. However, a recent meta-analysis indicated effect size heterogeneity in the ERN and RewP literatures. Hence, advocating these ERPs as biomarkers of depression might be premature or possibly misguided due to the selective reporting of significant analyses on the part of researchers (e.g., p-hacking or omission of non-significant findings). The present study quantified the degree of selective reporting and the evidential value for a true relationship between depression and ERN and RewP using a p-curve analysis. We predicted that the ERN and RewP literatures would fail to show evidential value for a relationship between each ERP and depression. Contrary to expectations, both literatures showed evidential value, albeit weak. The statistical power of the included ERN studies was between 20% and 25%, and the statistical power of the RewP was around 27%. Taken together, these findings provide support for a relationship between these ERPs and depression, which strengthens claims that these ERPs represent candidate biomarkers of depression symptoms and risk. In light of the evidence for these relationships being weak, some recommendations moving forward include conducting a priori power analyses, increasing sample sizes to improve statistical power, assessing the internal consistency of ERP scores, and carefully planning statistical approaches to maximize power.


2020 ◽  
Vol 36 (Supplement_2) ◽  
pp. i840-i848
Author(s):  
Thomas Gumbsch ◽  
Christian Bock ◽  
Michael Moor ◽  
Bastian Rieck ◽  
Karsten Borgwardt

Abstract Motivation Temporal biomarker discovery in longitudinal data is based on detecting reoccurring trajectories, the so-called shapelets. The search for shapelets requires considering all subsequences in the data. While the accompanying issue of multiple testing has been mitigated in previous work, the redundancy and overlap of the detected shapelets results in an a priori unbounded number of highly similar and structurally meaningless shapelets. As a consequence, current temporal biomarker discovery methods are impractical and underpowered. Results We find that the pre- or post-processing of shapelets does not sufficiently increase the power and practical utility. Consequently, we present a novel method for temporal biomarker discovery: Statistically Significant Submodular Subset Shapelet Mining (S5M) that retrieves short subsequences that are (i) occurring in the data, (ii) are statistically significantly associated with the phenotype and (iii) are of manageable quantity while maximizing structural diversity. Structural diversity is achieved by pruning non-representative shapelets via submodular optimization. This increases the statistical power and utility of S5M compared to state-of-the-art approaches on simulated and real-world datasets. For patients admitted to the intensive care unit (ICU) showing signs of severe organ failure, we find temporal patterns in the sequential organ failure assessment score that are associated with in-ICU mortality. Availability and implementation S5M is an option in the python package of S3M: github.com/BorgwardtLab/S3M.


2020 ◽  
Vol 228 (1) ◽  
pp. 43-49 ◽  
Author(s):  
Michael Kossmeier ◽  
Ulrich S. Tran ◽  
Martin Voracek

Abstract. Currently, dedicated graphical displays to depict study-level statistical power in the context of meta-analysis are unavailable. Here, we introduce the sunset (power-enhanced) funnel plot to visualize this relevant information for assessing the credibility, or evidential value, of a set of studies. The sunset funnel plot highlights the statistical power of primary studies to detect an underlying true effect of interest in the well-known funnel display with color-coded power regions and a second power axis. This graphical display allows meta-analysts to incorporate power considerations into classic funnel plot assessments of small-study effects. Nominally significant, but low-powered, studies might be seen as less credible and as more likely being affected by selective reporting. We exemplify the application of the sunset funnel plot with two published meta-analyses from medicine and psychology. Software to create this variation of the funnel plot is provided via a tailored R function. In conclusion, the sunset (power-enhanced) funnel plot is a novel and useful graphical display to critically examine and to present study-level power in the context of meta-analysis.


2014 ◽  
Vol 45 (3) ◽  
pp. 239-245 ◽  
Author(s):  
Robert J. Calin-Jageman ◽  
Tracy L. Caldwell

A recent series of experiments suggests that fostering superstitions can substantially improve performance on a variety of motor and cognitive tasks ( Damisch, Stoberock, & Mussweiler, 2010 ). We conducted two high-powered and precise replications of one of these experiments, examining if telling participants they had a lucky golf ball could improve their performance on a 10-shot golf task relative to controls. We found that the effect of superstition on performance is elusive: Participants told they had a lucky ball performed almost identically to controls. Our failure to replicate the target study was not due to lack of impact, lack of statistical power, differences in task difficulty, nor differences in participant belief in luck. A meta-analysis indicates significant heterogeneity in the effect of superstition on performance. This could be due to an unknown moderator, but no effect was observed among the studies with the strongest research designs (e.g., high power, a priori sampling plan).


Marketing ZFP ◽  
2019 ◽  
Vol 41 (4) ◽  
pp. 21-32
Author(s):  
Dirk Temme ◽  
Sarah Jensen

Missing values are ubiquitous in empirical marketing research. If missing data are not dealt with properly, this can lead to a loss of statistical power and distorted parameter estimates. While traditional approaches for handling missing data (e.g., listwise deletion) are still widely used, researchers can nowadays choose among various advanced techniques such as multiple imputation analysis or full-information maximum likelihood estimation. Due to the available software, using these modern missing data methods does not pose a major obstacle. Still, their application requires a sound understanding of the prerequisites and limitations of these methods as well as a deeper understanding of the processes that have led to missing values in an empirical study. This article is Part 1 and first introduces Rubin’s classical definition of missing data mechanisms and an alternative, variable-based taxonomy, which provides a graphical representation. Secondly, a selection of visualization tools available in different R packages for the description and exploration of missing data structures is presented.


2021 ◽  
Vol 22 (1) ◽  
Author(s):  
Sangyoon Yi ◽  
Xianyang Zhang ◽  
Lu Yang ◽  
Jinyan Huang ◽  
Yuanhang Liu ◽  
...  

AbstractOne challenge facing omics association studies is the loss of statistical power when adjusting for confounders and multiple testing. The traditional statistical procedure involves fitting a confounder-adjusted regression model for each omics feature, followed by multiple testing correction. Here we show that the traditional procedure is not optimal and present a new approach, 2dFDR, a two-dimensional false discovery rate control procedure, for powerful confounder adjustment in multiple testing. Through extensive evaluation, we demonstrate that 2dFDR is more powerful than the traditional procedure, and in the presence of strong confounding and weak signals, the power improvement could be more than 100%.


Biostatistics ◽  
2017 ◽  
Vol 18 (3) ◽  
pp. 477-494 ◽  
Author(s):  
Jakub Pecanka ◽  
Marianne A. Jonker ◽  
Zoltan Bochdanovits ◽  
Aad W. Van Der Vaart ◽  

Summary For over a decade functional gene-to-gene interaction (epistasis) has been suspected to be a determinant in the “missing heritability” of complex traits. However, searching for epistasis on the genome-wide scale has been challenging due to the prohibitively large number of tests which result in a serious loss of statistical power as well as computational challenges. In this article, we propose a two-stage method applicable to existing case-control data sets, which aims to lessen both of these problems by pre-assessing whether a candidate pair of genetic loci is involved in epistasis before it is actually tested for interaction with respect to a complex phenotype. The pre-assessment is based on a two-locus genotype independence test performed in the sample of cases. Only the pairs of loci that exhibit non-equilibrium frequencies are analyzed via a logistic regression score test, thereby reducing the multiple testing burden. Since only the computationally simple independence tests are performed for all pairs of loci while the more demanding score tests are restricted to the most promising pairs, genome-wide association study (GWAS) for epistasis becomes feasible. By design our method provides strong control of the type I error. Its favourable power properties especially under the practically relevant misspecification of the interaction model are illustrated. Ready-to-use software is available. Using the method we analyzed Parkinson’s disease in four cohorts and identified possible interactions within several SNP pairs in multiple cohorts.


2018 ◽  
Vol 53 (7) ◽  
pp. 716-719
Author(s):  
Monica R. Lininger ◽  
Bryan L. Riemann

Objective: To describe the concept of statistical power as related to comparative interventions and how various factors, including sample size, affect statistical power.Background: Having a sufficiently sized sample for a study is necessary for an investigation to demonstrate that an effective treatment is statistically superior. Many researchers fail to conduct and report a priori sample-size estimates, which then makes it difficult to interpret nonsignificant results and causes the clinician to question the planning of the research design.Description: Statistical power is the probability of statistically detecting a treatment effect when one truly exists. The α level, a measure of differences between groups, the variability of the data, and the sample size all affect statistical power.Recommendations: Authors should conduct and provide the results of a priori sample-size estimations in the literature. This will assist clinicians in determining whether the lack of a statistically significant treatment effect is due to an underpowered study or to a treatment's actually having no effect.


2015 ◽  
Vol 27 (1) ◽  
pp. 3-19 ◽  
Author(s):  
Masataka Taguri ◽  
John Featherstone ◽  
Jing Cheng

In many health studies, researchers are interested in estimating the treatment effects on the outcome around and through an intermediate variable. Such causal mediation analyses aim to understand the mechanisms that explain the treatment effect. Although multiple mediators are often involved in real studies, most of the literature considered mediation analyses with one mediator at a time. In this article, we consider mediation analyses when there are causally non-ordered multiple mediators. Even if the mediators do not affect each other, the sum of two indirect effects through the two mediators considered separately may diverge from the joint natural indirect effect when there are additive interactions between the effects of the two mediators on the outcome. Therefore, we derive an equation for the joint natural indirect effect based on the individual mediation effects and their interactive effect, which helps us understand how the mediation effect works through the two mediators and relative contributions of the mediators and their interaction. We also discuss an extension for three mediators. The proposed method is illustrated using data from a randomized trial on the prevention of dental caries.


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