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Ercan Yılmaz, Gulnar Jafarova: Leadership and School Climate in Effective Schools: A Meta-
Analysis
Table 9: Begg and Mazumdar Rank Correlation for the Publication Partiality
of the Studies whose Effect Sizes have been Calculated based on the
relationship between school effectiveness and leadership and school climate
Independent Kendal’s S Tau Z P
variable
Leadership -3.00 -0.036 0.156 0.876
School Climate 7.00 0.400 1.127 0.260
For publication partiality based on Begg ve Mazumdar’ rank correlation, the basic
reference is the significance level of the calculated Tau value. This value being at a
significant level points out to publication partiality. In this respect, due to Tau value
not being found statistically significant for studies both based on the relationship of
leadership and school climate, it can be stated that there is no publication partiality
based on this analysis.
Table 10: Egger Regression Intercept Analysis for the Publication Partiality
Analysis of the Studies whose Effect Sizes have been calculated based on the
Relationship between School Effectiveness and Leadership and School Climate
Independent Interception SE t Df P
Variable
Leadership -4.16 7.34 0.568 9 0.584
School Climate 2.17 1.68 1.290 4 0.267
In the Egger regression intercept analysis, finding a statistically significant level just like
in Begg and Mazumdar’s rank correlation is interpreted as publication partiality. In this
respect, since the analysis results were not found at a statistically significant level in
both leadership and school climate independent variables (p>.05), it can be stated that
there is no publication partiality according to Egger regression intercept analysis.
Table 11: Duval and Tweedie’s Trim and Fill Analysis for the Publication
Partiality Analysis of the Studies whose Effect Sizes have been Calculated based on
the Relationship between School Effectiveness and Leadership and School Climate
Number of
Independent Missing Studies’ Effect Lower Upper Q Value
Variable Effect Size Size Limit Limit
Calculated 0.534 0.403 0.643 379.666
Value
Leadership
Corrected
Value - 0 0.534 0.403 0.643 379.666
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