Applying regression & correlation : a guide for students and researchers

By Jeremy Miles, Mark Shevlin. 2001

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In AI We Trust? Factors That Influence Trustworthiness of AI-infused Decision-Making Processes (2019, background): “3Miles & Shevlin [29] advise that a partial η2 of ≥ .01 corresponds to a small effect, ≥ .06 to a medium effect, and ≥ .14 to a large effect. interpretability, train/test description, and social transparency) and then around the interacting ones (decider, trainer, and confidence).”
Dimensions of teacher interest and their relations to occupational well-being and instructional practices (2013, methodology): “Non-normality of distributions was indicated for eight variables (according to a guideline suggested by Miles & Shevlin, 2001; see Table 3).”
An evaluation of public support measures for private external consultancies to SMEs in the Walloon Region of Belgium (2005, background): “The numbers of 200 and 100 were determined in advance (less than 100 observations is already sufficient when an effect size, a power of 0.80 and four independent variables are assumed; Miles and Shevlin 2001).”
Leadership and Team Cohesiveness Across Cultures (2009, methodology): “The independent variables were standardized to be able to handle the cross-level interaction (Miles & Shevlin, 2001), using the grand mean centering method (Raudenbush & Bryk, 2002).”
Statistical guidelines for Apis mellifera research (2013, background): “…in a regression model: i) a large effect size (> 0.5) requires a minimum sample size of 40 experimental units; ii) a medium effect size (of ca. 0.3) requires a sample size of 80; iii) a small effect size (of ca. 0.1) requires a sample size of 600 (Miles and Shevlin, 2001; Field et al., 2012).”
Socio-economic driving forces of arable land conversion: A case study of Wuxian City, China (2005, methodology): “multicollinearity and heteroskedasticity which exist among explanatory variables make it more rigid to apply the regression method (Crown, 1998; Miles and Shevlin, 2001).”
Autonomous and controlled regulation of performance-approach goals: Their relations to perfectionism and educational outcomes (2010, background): “These observations allowed us to conclude that there is no serious degrading in the precision of estimation of parameters (Miles and Shevlin 2001) and that the main effects of PAp goals and regulations can be interpreted in a reliable manner.”
The Emergence of the Post-Socialist Welfare State : the Case of the Baltic States : Estonia, Latvia and Lithuania (2004, methodology): “Methods: This dissertation employs qualitative analyses (Huberman and Miles, 1997), the constant comparative method of qualitative analysis (Glaser and Straus, 1967), the comparative case-oriented method (Ragin 1994, 1997a, 1997b) and quantitative methods (descriptive statistics and logit regression”