2011
DOI: 10.11606/issn.2237-4485.lev.2011.132282
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What is R2 all about?

Abstract: Which substantive meaning we can draw from the R2 statistic? The coefficient of determination is defined as the sum of squares due to the regression divided by the sum of total squares. Usually, R2 is interpreted as representing the percentage of variation in the dependent variable explained by variation in the independent variables. This definition is found by both econometrics and statistics handbooks and is widely accepted among quantitative scholars. However, this view is challenged by one of the most dist… Show more

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Cited by 77 publications
(37 citation statements)
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“…Finally, although the reported pattern of associations between stressor types and measures of distress are significant, the explained variance regarding some scales were small, particularly for insomnia (R 2 = .024, p < .001). However, significant associations with a low R 2 in a large sample, as in our current study, can still provide important information on data trends particularly when studying psychological phenomena (Figueiredo Filho, Júnior, & Rocha, 2011). In addition, the current results are comparable to previous findings (Shea et al, 2017;Stein et al, 2012), which also indicate that the associations between our predictors and response variables are valid.…”
Section: Limitationssupporting
confidence: 89%
“…Finally, although the reported pattern of associations between stressor types and measures of distress are significant, the explained variance regarding some scales were small, particularly for insomnia (R 2 = .024, p < .001). However, significant associations with a low R 2 in a large sample, as in our current study, can still provide important information on data trends particularly when studying psychological phenomena (Figueiredo Filho, Júnior, & Rocha, 2011). In addition, the current results are comparable to previous findings (Shea et al, 2017;Stein et al, 2012), which also indicate that the associations between our predictors and response variables are valid.…”
Section: Limitationssupporting
confidence: 89%
“…R 2 values of Y 1 , Y 2 , and Y 3 were more than 0.8, meaning that the models of the actual values were similar to the statistical models [33]. In addition, the difference between the R 2 and adjusted R 2 of all responses was less than 0.2, which could be interpreted as a good fit between the model of the actual values and the model of the predicted values [34].…”
Section: Resultsmentioning
confidence: 99%
“…A similar value for R 2 and adjusted R 2 has been reported to be an appropriate goodness-of-fit indicator. 36 The relationship between the factors was schematically illustrated in three-dimensional response surface plots and coefficient equations (Figure 3 and Table S2, supplementary materials). As shown in Figure 3 and Table S3 (supplementary materials), the solubility of TCG in SMEDDS (Y 1 ) ranged from 126.51 to 330.59 mg/mL and the precipitation of TCG (Y 2 ) ranged from 0.2% to 67.7% ( Figure 3A and B).…”
Section: Design Of Experiments For Optimizing Tcg-smmentioning
confidence: 99%