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The Significance of Statistical Significance Tests in Marketing Research

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Abstract

Classical statistical significance testing is the primary method by which marketing researchers empirically test hypotheses and draw inferences about theories. The authors discuss the interpretation and value of classical statistical significance tests and suggest that classical inferential statistics may be misinterpreted and overvalued by marketing researchers in judging research results. Replication, Bayesian hypothesis testing, meta-analysis, and strong inference are examined as approaches for augmenting conventional statistical analyses.

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... 3 2 Problems General to Null Hypothesis Significance Testing 2.1 Preface As noted, the NHST paradigm upon which the status quo and the Benjamin et al. (2018) proposal rest is the default statistical paradigm for research, publication, and discovery in the biomedical and social sciences (see, for example, Morrison and Henkel (1970); Gigerenzer (1987); Sawyer and Peter (1983); McCloskey and Ziliak (1996); Gill (1999); Anderson et al. (2000); Gigerenzer (2004); Hubbard (2004)). Despite this, it has been roundly criticized both inside and outside of statistics over the decades (see, for example, Rozenboom (1960); Bakan (1966); Meehl (1978); Serlin and Lapsley (1993); Cohen (1994); McCloskey and Ziliak (1996); Schmidt (1996);Hunter (1997); Gill (1999); Gigerenzer (2004); Gigerenzer et al. (2004);Briggs (2016); Gal (2016, 2017)). ...
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We discuss problems the null hypothesis significance testing (NHST) paradigm poses for replication and more broadly in the biomedical and social sciences as well as how these problems remain unresolved by proposals involving modified p-value thresholds, confidence intervals, and Bayes factors. We then discuss our own proposal, which is to abandon statistical significance. We recommend dropping the NHST paradigm--and the p-value thresholds intrinsic to it--as the default statistical paradigm for research, publication, and discovery in the biomedical and social sciences. Specifically, we propose that the p-value be demoted from its threshold screening role and instead, treated continuously, be considered along with currently subordinate factors (e.g., related prior evidence, plausibility of mechanism, study design and data quality, real world costs and benefits, novelty of finding, and other factors that vary by research domain) as just one among many pieces of evidence. We have no desire to "ban" p-values or other purely statistical measures. Rather, we believe that such measures should not be thresholded and that, thresholded or not, they should not take priority over the currently subordinate factors. We also argue that it seldom makes sense to calibrate evidence as a function of p-values or other purely statistical measures. We offer recommendations for how our proposal can be implemented in the scientific publication process as well as in statistical decision making more broadly.
... Path coefficients, standard errors, t-values and p-values for the structural model were presented using a bootstrapping approach with 5,000 replicate samples as suggested by Hair et al. (2019) and Ramayah et al. (2018). Based on Hahn and Ang's (2017) critique that p-values are not a good criterion for testing the significance of hypotheses, several alternative methods were suggested, including the use of replication studies (Sawyer & Peter, 1983;Singh, Ang, & Leong, 2003), effect size estimates, and confidence intervals (Aguinis et al. 2010;Ely, 1999;Hubbard and Meyer, 2013;Lin, Lucas, and Shmueli, 2013). Therefore, several decision rules were used in the study, including the p-value criterion, effect size, and confidence intervals. ...
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... In this context, it should be mentioned that replication research is not the only way to improve confidence in scientific claims. Scholars have argued in favor of research practices such as relying on substantive rather than statistical significance (Sawyer and Peter 1983), requiring preregistration of empirical studies (nosek et al. 2018), and meta-analysis (Schmidt 1992) as a means to increase confidence in research results. However, their advocates acknowledge that these research practices serve as a supplement to replication studies rather than a replacement. ...
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... Accordingly, two competing hypotheses are being developed and evaluated. Scholars have noted that examining competing hypotheses enhances objectivity (Armstrong et al., 2001) and is particularly useful when prior knowledge allows different plausible justifications (Chaker et al., 2019;Sawyer and Peter, 1983). ...
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... The current study used a 5% significance level for stricter tests for statistical significance on the examined parameter relationships. This significance level is commonly used in many marketing-related studies (Hair Jr et al., 2017;Sawyer & Peter, 1983) and other business disciplines of science (Kim & Choi, 2021). Results reveal that perceived economic benefits (ECO) (ß=0.359, ...
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... Thus, when a firm offers a future discount the customer may feel more satisfied with the result and more likely to return to the business. Consequently, we view these competing predictions as two sets of opposing hypotheses (e.g., Sawyer and Peter 1983;Tax, Brown and Chandrashekaran 1998) which we will test with our data as follows: ...
... Due to the difficulty of the problem, we were aiming at an accessible level of description and presented the bare backbone of the method. We avoided application domain specific formulations in order to make the knowledge transfer easier to different application areas in data science including biomedical science, economics, management, politics, marketing, medicine, psychology or social science [50][51][52][53][54][55]. ...
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... A comparison between the 21 cases in which interviews were completed and the other nine cases did not reveal any apparent differences that would affect the interpretation of the results. Though 21 cases may be a small sample by some standards, Sawyer and Peter (1983) persuasively argue that there should not be a bias against appropriately selected small samples, especially if the obtained results are significant (as they are here). ...
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... Therefore, these theoretical discrepancies about alternative service relationships are the motivation behind the study, with a view towards developing more than one competing model. Developing more than one competing model is encouraged by many researchers (Burger and Petty, 1981;Sawyer and Peter, 1983) for assisting in testing alternative relationships and for capturing a broader picture. The use of competing models is suggested for supporting findings through the use of alternative hypotheses (McKenzie, 1998). ...
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