Based on the finding for a Spearman\'s Correlation, report the finding and inter
ID: 3374651 • Letter: B
Question
Based on the finding for a Spearman's Correlation, report the finding and interpret the statistics in terms of effect size and R2.
Correlations
Social behaviors
Social behaviors
Spearman's rho
Social behaviors
Correlation Coefficient
1.000
-.664**
Sig. (2-tailed)
.
.000
N
48
48
Bootstrapc
Bias
.000
.009
Std. Error
.000
.105
BCa 95% Confidence Interval
Lower
.
-.795
Upper
.
-.431
Social behaviors
Correlation Coefficient
-.664**
1.000
Sig. (2-tailed)
.000
.
N
48
48
Bootstrapc
Bias
.009
.000
Std. Error
.105
.000
BCa 95% Confidence Interval
Lower
-.795
.
Upper
-.431
.
**. Correlation is significant at the 0.01 level (2-tailed).
c. Unless otherwise noted, bootstrap results are based on 1000 bootstrap samples
Correlations
Social behaviors
Social behaviors
Spearman's rho
Social behaviors
Correlation Coefficient
1.000
-.664**
Sig. (2-tailed)
.
.000
N
48
48
Bootstrapc
Bias
.000
.009
Std. Error
.000
.105
BCa 95% Confidence Interval
Lower
.
-.795
Upper
.
-.431
Social behaviors
Correlation Coefficient
-.664**
1.000
Sig. (2-tailed)
.000
.
N
48
48
Bootstrapc
Bias
.009
.000
Std. Error
.105
.000
BCa 95% Confidence Interval
Lower
-.795
.
Upper
-.431
.
**. Correlation is significant at the 0.01 level (2-tailed).
c. Unless otherwise noted, bootstrap results are based on 1000 bootstrap samples
Explanation / Answer
Here we have to test the hypothesis that,
H0 : Rho = 0 Vs H1 : Rho not= 0
where Rho is population correlation coefficient.
Assume alpha = level of significance = 0.01
Correlation coefficient = -0.664
Also P-value = 0.000
P-value < alpha
Reject H0 at 1% level of significance.
Conclusion : Population correlation coefficient is not 0.
Rsq = R2 = -0.664^2 = 0.4409 = 44.09%
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