How to calculate the independence weight index?

One 、 application

    The independence weighting method is an objective weighting method . The idea is to use the collinearity between indicators to determine the weight . If there is a strong correlation between an indicator and other indicators , Explain that there is a large overlap of information , This means that the weight of this indicator will be relatively low , On the contrary, if the correlation between one indicator and other indicators is weak , This indicates that the indicator carries a large amount of information , This indicator should be given a higher weight .

Two 、 operation

SPSSAU operation

（1） Click on SPSSAU Comprehensive evaluation ‘ Independence weight ’ Button . Here's the picture

（2） Drag and drop the data and click ‘ Save the comprehensive score ’ To analyze

3、 ... and 、 Case background

Currently, an enterprise plans to recruit 5 Researchers , The candidates have 30 name , The enterprise has conducted a written examination of five professional aspects , And record 30 The scores of candidates . Due to the information overlap in the scores of professional courses , Therefore, we can not simply add the scores directly to evaluate the professional quality of the candidates . Therefore, the independence weight is used for calculation , It is convenient to get a more scientific and objective evaluation , Select the most suitable candidate . The data of this study are as follows ：

Four 、 The results of the analysis

SPSSAU The resulting analysis results are as follows ：

1. Calculation results of independence weight method

（1） Complex correlation coefficient R

          Index variability is measured using standard deviation , The larger the standard deviation, the greater the weight ;

（2） Reciprocal of complex correlation coefficient 1/R

          example ：1/0.292=3.419

（3） The weight

          The final weight is calculated by summing and normalizing the complex correlation coefficient .

          example :3.419/(3.419+3.442+2.029+1.853+2.959)=0.2495;

analysis 1

    As can be seen from the above table ： share 5 Scores of specialized courses , Professional courses 1 And professional courses 2 Has a higher weight , this 2 Door exam and the rest 3 There is relatively little overlap of information in the exam . And professional courses 3 And professional courses 4 These two grades , And the rest 3 There is a high degree of overlap in the examination , So the weight is relatively small .

2. Comprehensive score

analysis 2

    The resulting 5 After the result of the exam , Multiply by specific scores and accumulate , Get the comprehensive score , The following table ： The comprehensive score shows , Applicant 28 Has the highest comprehensive score , The second is the candidate 4, The first 3 First name is the candidate 20, The first 4 Name and number 5 The first name is the applicant 24, Applicant 27. So eventually this 5 Candidates were admitted .