Partial correlation analysis is used to calculate the correlation between two variables under the influence of controlling for other variables. It can identify and quantify the direct relationship between two variables, eliminating interference from other variables on their relationship.

    In correlation analysis, correlation coefficients are usually used to analyze or measure the degree of linear correlation between these variables. However, simple correlation coefficients are often influenced by other factors and reflect non essential connections. To accurately reflect the internal relationship between two economic variables, it is necessary to calculate the partial correlation coefficient. By comparing the partial correlation coefficient with the correlation coefficient, it is more realistic and reliable to determine the intrinsic linear relationship between these two variables.

    Data description:

    The results show that the correlation analysis results are first presented without adding control variables:

    The results after adding control variables show:

    According to partial correlation analysis, under the control of variables ['gender 'and' grade '], partial correlation analysis was performed on variables ['A1','A2 ','A3','A4 ','A5']. The correlation coefficient between A1 and A2 is -0.014, with a p-value of 0.899, indicating that there is no correlation. The correlation coefficient between A1 and A3 is 0.562, with a p-value of 0.0, indicating a moderate degree of correlation. The correlation coefficient between A1 and A4 is 0.45, with a p-value of 0.0, indicating that there is no correlation. The correlation coefficient between A1 and A5 is 0.318, with a p-value of 0.004, indicating that there is no correlation. The correlation coefficient between A2 and A3 is 0.167, with a p-value of 0.14, indicating that there is no correlation. The correlation coefficient between A2 and A4 is 0.157, with a p-value of 0.164, indicating that there is no correlation. The correlation coefficient between A2 and A5 is -0.01, with a p-value of 0.933, indicating that there is no correlation. The correlation coefficient between A3 and A4 is 0.569, with a p-value of 0.0, indicating a moderate degree of correlation. The correlation coefficient between A3 and A5 is 0.402, with a p-value of 0.0, indicating that there is no correlation. The correlation coefficient between A4 and A5 is 0.245, with a p-value of 0.028, indicating that there is no correlation.

    Reference:

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