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. 2024 Mar 9;16(3):e55852. doi: 10.7759/cureus.55852

Table 7. Noteworthy observations and sensitivity analysis.

*Cook’s distance (range) (others) refers to the range in Cook’s distance for the other analyzed studies.

Anatomical variant Noteworthy studies Cook's distance Cook’s distance (others) (range)* Original estimate (%) Sensitivity analysis: estimate (%) Original I² (%) Sensitivity analysis: I² (%) Observations/Comments
Absent SSN Kumar et al. (2014) [25] 2.0 0 – 0.3 10.7 10.75 100 100 No substantial impact on heterogeneity or central tendency despite high Cook’s distance.
U-shaped Iqbal et al. (2009) [21] 0.6 0 – 0.4 31.7 36.4 96.03 95.68 Major changes in effect size, indicating study impact.
V-shaped Agrawal et al. (2015) [12] 1.1 0 – 0.8 28.981 22.64 97.58 96.34 1.24% change in heterogeneity; significant effect size adjustment.
SS foramen Kumar et al. (2014) [25] 0.7 0 – 0.6 3.62 3.58 72.23 68.18 Minor changes in both effect size and heterogeneity, suggesting low influence of this study.
SS foramen and notch Natsis et al. (2007) [1] 6 0 – 1 0.942 N/A 2.93 N/A Unable to perform sensitivity analysis due to high Cook's distance and a limited number of studies. Interpretation of this variant's effect size and heterogeneity should be done with caution.
Incomplete ossification Inoue et al. (2014) [20] 0.8 0 – 0.2 6.49 5.56 90.09 81.87 Moderate changes in both effect size and I², indicating study influence.
Small V-shaped Albino et al. (2013) [15] 0.9 0 – 0.2 9.04 7.43 96.91 95.58 Significant changes in effect size and slight I² reduction, indicating study influence.
J-shaped N/A N/A N/A N/A N/A N/A N/A Insufficient data to perform a sensitivity analysis.
Double foramen N/A N/A N/A N/A N/A N/A N/A Insufficient data to perform a sensitivity analysis.
“Polguj method” classification
Type IA Vyas et al. (2012) [32] 0.6 0 – 0.1 12.1 14.3 85.03 0 Significant change in heterogeneity to 0% and a minor increase in effect size, indicating a notable influence of this study on overall results.
Type IB Polguj et al. (2013) [28] 2.2 0.5 – 1.5 5.79 8.65 82.53 85.66 A moderate increase in both effect size and heterogeneity upon sensitivity analysis, suggesting that this study has a noteworthy influence on the overall meta-analysis.
Type IC N/A N/A N/A N/A N/A N/A N/A Insufficient data to perform a sensitivity analysis.
Type II Polguj et al. (2013) [28] 0.35 0 – 0.15 2.1 2.35 0 0 Minimal change in both effect size and heterogeneity upon sensitivity analysis, indicating that this study has a negligible influence on the overall meta-analysis.
Type IIIA Vyas et al. (2012) [32] 6 0.2 – 1.2 5.3 9.57 82.24 87.31 Marked variations in effect size and heterogeneity were observed after sensitivity analysis, signifying that this study's strong impact on the overall results of the meta-analysis.
Type IIIB Polguj et al. (2013) [28] 4.5 0 – 2.5 3.72 7.2 87.49 89.1 The significant change in effect size highlights the study's substantial influence.
Type IIIC N/A N/A N/A N/A N/A N/A N/A Insufficient data to perform a sensitivity analysis.
Type IV Polguj et al. (2013) [28] 0.5 0 – 0.3 4.35 3.93 0 0 A relatively stable but minor impact on the overall meta-analysis.
Type V Vyas et al. (2012) [32] 0.7 0 – 0.3 15.8 12.0 92.97 10.37 The heterogeneity dropped dramatically, implying that this study was a significant source of variability in the original meta-analysis.