# Evaluation of Input-Output Efficiency of Sports Industry Based on SWOT-PEST Model

Authors: Huan Dong; Zhiguo Liu; Kai Kong; Tong Li; Qianli Ma
Journal: Journal of Mathematics
 (2021)

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## Abstract

This article takes the macro-environmental sports industry as the research object. Firstly, based on the development and characteristics of the sports industry, the article uses the principle of data envelopment analysis to analyze its input and output efficiency and finds out its current problems. In addition, the SWOT analysis method is used to conduct a comprehensive analysis of the external and internal environment influencing the efficiency of the sports industry and propose corresponding development countermeasures. Through the comparison of efficiency evaluation methods, the data envelopment analysis method is proposed to evaluate SWOT efficiency. Secondly, on the basis of pointing out the guiding ideology and basic principles of the evaluation system, four input indicators and four output indicators are specifically selected to form the SWOT input-output indicator system. Thirdly, we introduce the PEST model, focusing on its extended BCC model and use it to make empirical analysis of the SWOT efficiency of regions and provinces. The analysis results show that the efficiency of regional SWOT is not optimal and that there are problems such as input redundancy and insufficient output. Through further analysis, it is concluded that the main reason for the inefficiency of regional SWOT is the unreasonable SWOT input structure and insufficient output value of high-tech industries. We use the analytical framework of this method to clarify the current macro-competitive environment of the sports industry, and use the constructed index system to determine whether the sports industry environment in a region is good or bad. In the selection of indicators, we must carefully analyze their connotations, so that the evaluation index system can accurately evaluate the region’s sports industry environment.


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## Body

## 1. Introduction

The PEST-SWOT analysis method in industrial management can analyze the sports industry environment from the macro and micro aspects, determine the strengths and weaknesses of the sports industry itself, sort out external opportunities and threats, and take timely measures to adapt to the dynamic environment to guide sports industrial environment construction [1]. With the further intensification of global competition, the development of science and technology has become a new focus of competition among countries. Research and development investment is an important indicator that reflects the scientific and technological strength of a country and a region. It is a necessary condition and foundation to ensure the development of science and technology. It plays an increasingly important role in promoting economic development and enhancing national competitiveness [2–4]. Countries in the world have always regarded the proportion of SWOT expenditure in gross domestic product (SWOT/GDP) as a core indicator to measure technological competitiveness. Through the research on the sports industry environment, it provides a certain theoretical reference for practitioners to evaluate the opportunities of the sports industry and improves the success rate of sports industry activities [5]. This research intends to study the changes and development of the national sports industry environment, understand the changing process of the sports industry motivation of the national sports industry, construct the sports industry motivation and the sports industry environmental system, and provide theories for the effective implementation of the national sports industry education and the national sports industry [6–8].Research on the sports industry environment of employees can enable employees to take advantage of the positive factors of the sports industry environment and avoid and improve the negative factors in the entrepreneurial environment, thereby improving the quantity and quality of opportunities in the sports industry [9]. This research is necessary for cultivating outstanding employees with the spirit and ability of the sports industry. It is also necessary to solve the country’s severe employment problems for employees and to promote the country's economic development, so this article has certain practical and theoretical significance [10]. The estimation results of the spatial error model show that in the agglomeration of input factors, the concentration of total assets of the sporting goods manufacturing industry, the concentration of the average number of workers in the sporting goods manufacturing industry, and the concentration of employees in the sports enterprise legal entity have no significant effect on the improvement of the efficiency of the sports industry. The agglomeration of total assets of legal entities has a significant effect on improving the efficiency of the sports industry. In addition, errors related to the efficiency of the sports industry in a certain area will be transmitted to neighboring surrounding areas and inhibit the improvement of the efficiency of the latter's sports industry [11–13].In order to promote the development of the national sports industry and regional economy and help the industry to transform and upgrade, using the sports industry-related data of 31 provinces in the country, firstly, the input-output efficiency and space of the national sports industry were calculated through data envelopment analysis and location entropy. Then, the spatial measurement model was used to explore the factors affecting the efficiency of the sports industry and test the spatial effect of the national sports industry agglomeration on the input-output efficiency. Finally, the spatial development model and suggestions for the sports industry in the future were put forward. The article is based on literature review and theoretical research, combined with relevant knowledge of management, sports industry, sociology, etc., through reading, analyzing, and synthesizing a large number of documents, consolidating the theoretical foundation of the study, in addition to domestic and foreign research literature data, investigation by combining data, analyzing and summarizing the status quo of the sports industry of national employees, and evaluating the environment of the sports industry. Using external macro-environment analysis, combined with empirical research and qualitative and quantitative analysis, different factors of the sports industry environment are analyzed, and the impact of various factors of the sports industry environment on the opportunities of the sports industry is analyzed.


## 2. Related Work

The efficiency analysis of SWOT input and output is of great significance in reality. Data envelopment analysis is a very scientific and appropriate evaluation method for evaluating relative effectiveness. This article is based on the qualitative analysis of the two, along the technical route of addressing, analyzing, and solving problems, through the collection and sorting of data, using the PEST model to carry out quantitative analysis and propose corresponding results based on the findings.Miragaia [14] compared the efficiency of R&D input and output of three companies and came to the following conclusion: R&D capital investment has a great impact on the sales in the initial stage of internationalization of the company. Based on the relevant data of industrial enterprises' scientific and technological activities, Carmichael [15] used data envelopment related models and evaluated and analyzed the SWOT input and output efficiency of large- and medium-sized industrial enterprises in various provinces and cities in the country, so as to correctly understand the SWOT of industrial enterprises in various regions. Zuccari [16] tried to introduce the data envelopment analysis method into the efficiency evaluation field of competitive strategic alliances and applied the multiperiod production efficiency change index model to analyze the impact of competitive alliances in the pharmaceutical industry on SWOT efficiency and evaluate the current level of efficiency of R&D activities in competitive alliances. Gerrard [17], based on the traditional SWOT input-output evaluation model method, proposed a PEST method to evaluate the relative effectiveness of SWOT input and output. Through comparison with some foreign countries, the effectiveness of national SWOT investment efficiency was evaluated, and suggestions for solving existing problems were put forward.Carlos [18] selected 2 input indicators (SWOT expenditures, SWOT staff full-time equivalent) and 3 output indicators (number of authorized invention patent applications, number of scientific papers, number of major scientific and technological achievements) and used the PEST method for comparison. The SWOT efficiency of scientific research institutes, enterprises, and institutions of higher learning has been evaluated and compared. The results show that the SWOT efficiency of institutions of higher learning is the highest and that the SWOT activities of scientific research institutions are inefficient but have improved afterwards. The investment is the most, but the efficiency is the lowest, and there is no obvious improvement with the increase of investment, indicating that insufficient investment is not the key factor that causes SWOT inefficiency. Finally, suggestions for improving SWOT efficiency of enterprises are put forward. Some scholars have made a comprehensive discussion on the application of PEST method in SWOT performance evaluation and pointed out the problems that should be paid attention to in future related research, in order to promote the further application of PEST method in scientific research performance evaluation. Through the analysis of the status quo of SWOT input and allocation, 3 input indicators (namely, the number of scientific and technological activity personnel, scientists and engineers, SWOT expenditures) and 3 output indicators (namely, the number of scientific papers, the number of patents granted, the turnover of the technology market) are selected, using the theory and methods of data envelopment analysis to evaluate the country's SWOT input and output efficiency from a longitudinal perspective, in order to facilitate in-depth research and formulation of the country's future SWOT input and allocation of science and technology policies, and build an innovative country [19–21].


## 3. The Construction of the Input-Output Efficiency Evaluation Model of the Sports Industry Based on the SWOT-PEST Model

### 3.1. SWOT-PEST Hierarchy Structure

The SWOT analysis method is also called the situation analysis method. Later, after the development of many people, it becomes a practical method for strategic analysis, which is used to synthesize and generalize the content of environmental analysis. This method comprehensively considers various factors of the object's internal environment and external environment and specifically summarizes them as four elements: internal strengths and weaknesses, and external opportunities and threats. Figure1 is the SWOT-PEST hierarchical structure.Figure 1
SWOT-PEST hierarchical structure.According to these four elements, we conduct an in-depth analysis of the environment and situation, build a SWOT matrix, match various factors with each other, and draw a series of alternative countermeasures (such as SO, ST, WO, and WR countermeasures), in order to fully understand, use, and exert favorable conditions and factors, and control or resolve unfavorable factors and threats, so as to choose the best strategy.(1)Fm,t=limn⟶∞∑i=1nn×fm,tlimn⟶∞∑i=1nfi,t,gm,t=limn⟶∞∑i=1nn×hm,t/ki,tlimn⟶∞∑i=1nhi,t/ki,t.Using this method, it is possible to conduct a comprehensive, systematic, and accurate study of the situation in which the research object is located, so as to formulate corresponding development strategies, plans, and countermeasures based on the research results.(2)px1,x2,…,xn=∏i=1npxn|xn−i+1,fx=xi+xi×xjxi+xjxi−xj.The various factors obtained from the survey are constructed according to the ordering methods such as priority or degree of influence to construct a SWOT matrix. In this process, we prioritize the direct, important, major, urgent, and long-term influencing factors on the development of the research object and deprioritize the indirect, secondary, minor, not urgent, and short-term ones.(3)T2−limn⟶∞pxn×∑i=1npi−px2=0,ux,t=ax,t+bx,t+cx,t.After completing the analysis of environmental factors and the construction of the SWOT matrix, a corresponding action plan can be worked out. The basic idea of formulating the plan is to give full play to advantages, overcome weaknesses, take advantage of opportunities, and dissolve threats.(4)xi,0=a−xj,0,xi,1=b−xj,1,xi,j=xj,ia+b.Using the comprehensive analysis method of system analysis, the arrangement and consideration of various environmental factors are matched and combined to obtain a series of alternative countermeasures for the future development of the research object.(5)Ux=CTCI−C−limn⟶∞∑i=1npx×Cilimn⟶∞∑i=1npx×Zi.It is one thing to identify attractive opportunities in the environment, but it is another thing to have the core competencies needed to succeed in the opportunities. Every enterprise should check its own strengths and weaknesses on a regular basis. This can be done through the “enterprise management checklist.” Companies or external consultants can use this format to check the company's marketing, financial, manufacturing, and organizational capabilities.(6)χx=e−λL1+λx2,χ≥χx,0,χ<χx.The PEST model is a basic tool for analyzing the external environment of a strategy. It is a method used to analyze the external macro environment of a company and can analyze the impact of the macro environment of the organization (industry) on the strategy. It includes the main external environmental factors of four types of enterprises: political, economic, social, and technological. Through the analysis of these four factors, we can grasp the macro environment as a whole and evaluate its influence on the industry's internal strategic goals and strategies.


### 3.2. Sports Industry Evaluation Index

The ultimate goal of evaluating and measuring the sports industry environment in a region is to put forward suggestions and opinions about improving the sports industry environment in the region. Therefore, when choosing indicators, we must consider the possibility of policy implementation. The selection of indicators strives to integrate theory with reality and needs to be unified with the possibility. The selected indicators must have clear meanings and have flexible statistical methods and calculation methods.(7)Vx=limn⟶∞∑i=1n∑j=1nwi,j×xi−x×xj−xlimn⟶∞∑i=1n∑j=1nwi,j×xi,j.Efficiency is usually measured from two perspectives: one is that under the condition of constant input, the greater the output, the higher the efficiency; the other is that under the condition of constant output, the smaller the input, the greater the output. Usually, under normal circumstances, efficiency is inversely proportional to input and has a proven proportional relationship to output. In economics, the meaning of efficiency refers to the maximum number of products and services that can be provided on the basis of existing resources, or the minimum amount of resources that need to be invested in order to meet the required amount of products and services. While following scientific, systematic, and accurate principles, we must also pay attention to the principle of operability.(8)Zx,y=xixj×expxi+xjyi+yj+yk1−1−expxi+xjyi+yj+yk,ψx=fx,d−fx,mfx,d+fm,d.For data that are difficult to collect and qualitative indicators that lack specific data, the qualitative indicators can be transformed into quantitative data through investigations, and other indicators can be used instead, or other raw data can be used to derive new data. According to the requirements of the relationship between the number of samples and the number of indicators in the PEST evaluation model, the number of samples should be at least twice the number of indicators, or the number of samples should be greater than or equal to the product of the number of input indicators and the number of output indicators.The output terminal is the closed-loop signal of the system. This article uses the original indicator system to analyze and comprehensively design specific input and output indicators. Due to the above limitations, this paper calculates the standardized data of the four first-level indicators of human input, material input, financial input, and student training based on the standardized data and corresponding weights of each indicator. Figure2 shows the distribution of the sports industry evaluation index.Figure 2
The distribution of the proportion of the sports industry evaluation index.When analyzing the overall degree of industrial clusters, the commonly used industry geographic concentration index, that is, the market share of several companies with larger output or input indicators in a certain industry, can be also understood as an industry index in the top provinces. It accounts for the proportion of the same industry in the country. It is the industry concentration, reflecting the proportion of an index of the sports industry in the topn regions in the national total.We select the industry concentration of the top 1, 4, and 8 regions for calculation.xi represents the total assets of the sports goods manufacturing industry in the i region; the average number of workers; the main business income; and the total assets of the sports enterprise legal entity, the employees, and the operating income. X represents the total assets of the national sporting goods manufacturing industry; the average number of workers; the main business income; and the total assets of the sports service industry, the employees, and the operating income.


### 3.3. Quantification of Input-Output Efficiency

Although the spatial Gini coefficient method and the industry concentration measurement algorithm are simple and intuitive, they cannot clearly determine whether the optimization of industry input and output efficiency exists, so more professional methods are needed for in-depth analysis. Location entropy is also one of the indicators that reflect the degree of industrial clusters in a particular region and is used to measure the spatial distribution of factors, that is, the share of industries in the regional economy and the proportion of industries in the entire national economy. What needs to be explained is that due to the influence of many factors, the rationality of the index will inevitably show deviation. The policy level, economy, society, and technology each have a weight of 0.20 in the entire sports industry environmental evaluation index system. The contribution degree is based on the experience of the Eastern Sports Industry and the data researched by the National Sports Industry Center, as well as consulting mentors and advisors. Experts finally formed the final distribution based on the existing theoretical basis and local reality. In this way, the calculation formula of the sports industry environmental index can be obtained. In the calculation formula,X represents the index, Y represents the weight of the index in the entire index system, and n is the serial number of the index weight. Finally, the above indicators are in the process of the sports industry. Table 1 indicates the quantitative indicators of input-output efficiency.Table 1
Quantitative indicators of input-output efficiency.
Index numberFirst-level indicatorSecond-level indicatorThird-level indicatorFactor weight1Financial capabilityReturn on assetsCurrent ratio0.11Asset turnover rateIndicator complaint rate0.06Operating income growth rateIndicator complaint handling rate0.232Customer service abilityDistribution accuracyThe freshness of calculation products0.11On-time rate of cold chain distributionThe time rate of information interference0.13Logistics service efficiencyInformation transmission accuracy0.213Information technology capabilitiesInformation coverageTechnical compatibility0.07Information sharing degreeThe utilization rate of refrigerated trucks0.08Data envelopment analysis is a nonparametric system analysis method that uses mathematical models to evaluate the relative efficiency of Decision-Making Units (DMU). By judging whether the DMU is PEST valid, it can be determined whether the DMU is on the leading edge of the production possible set. Based on the selection of multiple input and output indicators, the PEST method does not need to consider the dimensions of different unit indicators. Therefore, despite the different quality of efficiency indicators, data envelopment analysis can still avoid the interference of subjective elements and the single problem of evaluation elements, which is also a manifestation of its superiority that cannot be underestimated. The former is the minimum input for each item under a given output level; the latter is the maximum output for each item under the given input level.Figure3 shows a quantitative framework for input-output efficiency. Given that the national sports industry is a sunrise industry, the scale of investment is dynamically changing, and based on the development of the sports industry in recent years, it can be predicted that the national sports industry will become more prosperous in the next few years. Therefore, this study adopts an output-oriented model. Commonly used basic models include the CCR model for evaluating overall efficiency and the BCC model and for evaluating pure technical efficiency. The specific improvement process and calculation method are not repeated here. It should be pointed out that, in order to make up for the traditional PEST model and so on, this paper will also use the super-efficiency data envelopment model (SE-PEST) developed on the basis of the traditional PEST model. The efficiency value of the effective unit is calculated more accurately.Figure 3
Quantification framework of input-output efficiency.


### 3.4. Evaluation Model Factor Iteration

This study uses the quantitative economic model method and first uses the CCR, BCC, and SE-PEST models in the data envelopment analysis to measure the input-output efficiency of the national sports industry in 2019. Second, geospatial factors are added to the spatial measurement economics model to make up for the ignorance of spatial effects when dealing with economic issues in previous related studies. We select the input-output efficiency of the national sports industry in 2019 as the explained variable; calculate the total assets of the sports goods manufacturing industry, the average number of workers in the sports goods manufacturing industry, the total assets of the sports enterprise legal person unit, and the location entropy of the employees of the sports enterprise legal person unit; and select them to explain the variables. A spatial regression model was constructed to explore the influence of the professional agglomeration level.Global Moran's I index reflects the correlation between regional units and neighboring regional units in the entire study area and points out the distribution mode of regional variable values, which include agglomeration and discrete or random distribution modes. Its value range is [−1, 1], where −1 means that the variable value is completely negatively correlated in space and 1 means completely positive correlation; when the value is close to 0, it presents an uncorrelated random distribution state; when Moran’s I is positive, it indicates that there is a positive correlation, and similar observations (high or low) tend to be spatially clustered. When Moran's I is negative, this means that there is a negative correlation. Similar observations tend to be distributed in space, that is, different attribute values tend to cluster. Figure4 is the SWOT-PEST model evaluation model factor similarity distribution.Figure 4
SWOT-PEST model evaluation model factor similarity distribution.Exploratory spatial data analysis (ESDA) is a spatial data analysis method that identifies whether certain variables are spatially related and clustered. If a certain variable appears as agglomeration in space, this means that this variable has autocorrelation among all regional units in the space and that if the value of a certain regional unit is higher (lower), the surrounding area unit is also higher (lower). Like many research contents, the input-output efficiency of the national sports industry has spatial location characteristics and also has spatial heterogeneity and spatial agglomeration.The system uses the reconstructed sensor information to close the loop. Therefore, the application of spatial autocorrelation analysis method is very suitable for the study of the geographical spatial distribution characteristics of the national sports industry efficiency. First, when analyzing the efficiency of the provincial sports industry, a comparative analysis of the overall efficiency of the sports industry, redundant input and output, pure technical efficiency, scale efficiency, and return to scale between provinces is carried out. Second, when analyzing the agglomeration of the provincial sports industry, a comparative analysis of the spatial Gini coefficient, industry concentration, and location entropy of the province's sports industry for each indicator is carried out. Third, a comparative analysis of the exploratory spatial data analysis results of the national and provincial sports industry agglomeration is conducted.


## 3.1. SWOT-PEST Hierarchy Structure

The SWOT analysis method is also called the situation analysis method. Later, after the development of many people, it becomes a practical method for strategic analysis, which is used to synthesize and generalize the content of environmental analysis. This method comprehensively considers various factors of the object's internal environment and external environment and specifically summarizes them as four elements: internal strengths and weaknesses, and external opportunities and threats. Figure1 is the SWOT-PEST hierarchical structure.Figure 1
SWOT-PEST hierarchical structure.According to these four elements, we conduct an in-depth analysis of the environment and situation, build a SWOT matrix, match various factors with each other, and draw a series of alternative countermeasures (such as SO, ST, WO, and WR countermeasures), in order to fully understand, use, and exert favorable conditions and factors, and control or resolve unfavorable factors and threats, so as to choose the best strategy.(1)Fm,t=limn⟶∞∑i=1nn×fm,tlimn⟶∞∑i=1nfi,t,gm,t=limn⟶∞∑i=1nn×hm,t/ki,tlimn⟶∞∑i=1nhi,t/ki,t.Using this method, it is possible to conduct a comprehensive, systematic, and accurate study of the situation in which the research object is located, so as to formulate corresponding development strategies, plans, and countermeasures based on the research results.(2)px1,x2,…,xn=∏i=1npxn|xn−i+1,fx=xi+xi×xjxi+xjxi−xj.The various factors obtained from the survey are constructed according to the ordering methods such as priority or degree of influence to construct a SWOT matrix. In this process, we prioritize the direct, important, major, urgent, and long-term influencing factors on the development of the research object and deprioritize the indirect, secondary, minor, not urgent, and short-term ones.(3)T2−limn⟶∞pxn×∑i=1npi−px2=0,ux,t=ax,t+bx,t+cx,t.After completing the analysis of environmental factors and the construction of the SWOT matrix, a corresponding action plan can be worked out. The basic idea of formulating the plan is to give full play to advantages, overcome weaknesses, take advantage of opportunities, and dissolve threats.(4)xi,0=a−xj,0,xi,1=b−xj,1,xi,j=xj,ia+b.Using the comprehensive analysis method of system analysis, the arrangement and consideration of various environmental factors are matched and combined to obtain a series of alternative countermeasures for the future development of the research object.(5)Ux=CTCI−C−limn⟶∞∑i=1npx×Cilimn⟶∞∑i=1npx×Zi.It is one thing to identify attractive opportunities in the environment, but it is another thing to have the core competencies needed to succeed in the opportunities. Every enterprise should check its own strengths and weaknesses on a regular basis. This can be done through the “enterprise management checklist.” Companies or external consultants can use this format to check the company's marketing, financial, manufacturing, and organizational capabilities.(6)χx=e−λL1+λx2,χ≥χx,0,χ<χx.The PEST model is a basic tool for analyzing the external environment of a strategy. It is a method used to analyze the external macro environment of a company and can analyze the impact of the macro environment of the organization (industry) on the strategy. It includes the main external environmental factors of four types of enterprises: political, economic, social, and technological. Through the analysis of these four factors, we can grasp the macro environment as a whole and evaluate its influence on the industry's internal strategic goals and strategies.


## 3.2. Sports Industry Evaluation Index

The ultimate goal of evaluating and measuring the sports industry environment in a region is to put forward suggestions and opinions about improving the sports industry environment in the region. Therefore, when choosing indicators, we must consider the possibility of policy implementation. The selection of indicators strives to integrate theory with reality and needs to be unified with the possibility. The selected indicators must have clear meanings and have flexible statistical methods and calculation methods.(7)Vx=limn⟶∞∑i=1n∑j=1nwi,j×xi−x×xj−xlimn⟶∞∑i=1n∑j=1nwi,j×xi,j.Efficiency is usually measured from two perspectives: one is that under the condition of constant input, the greater the output, the higher the efficiency; the other is that under the condition of constant output, the smaller the input, the greater the output. Usually, under normal circumstances, efficiency is inversely proportional to input and has a proven proportional relationship to output. In economics, the meaning of efficiency refers to the maximum number of products and services that can be provided on the basis of existing resources, or the minimum amount of resources that need to be invested in order to meet the required amount of products and services. While following scientific, systematic, and accurate principles, we must also pay attention to the principle of operability.(8)Zx,y=xixj×expxi+xjyi+yj+yk1−1−expxi+xjyi+yj+yk,ψx=fx,d−fx,mfx,d+fm,d.For data that are difficult to collect and qualitative indicators that lack specific data, the qualitative indicators can be transformed into quantitative data through investigations, and other indicators can be used instead, or other raw data can be used to derive new data. According to the requirements of the relationship between the number of samples and the number of indicators in the PEST evaluation model, the number of samples should be at least twice the number of indicators, or the number of samples should be greater than or equal to the product of the number of input indicators and the number of output indicators.The output terminal is the closed-loop signal of the system. This article uses the original indicator system to analyze and comprehensively design specific input and output indicators. Due to the above limitations, this paper calculates the standardized data of the four first-level indicators of human input, material input, financial input, and student training based on the standardized data and corresponding weights of each indicator. Figure2 shows the distribution of the sports industry evaluation index.Figure 2
The distribution of the proportion of the sports industry evaluation index.When analyzing the overall degree of industrial clusters, the commonly used industry geographic concentration index, that is, the market share of several companies with larger output or input indicators in a certain industry, can be also understood as an industry index in the top provinces. It accounts for the proportion of the same industry in the country. It is the industry concentration, reflecting the proportion of an index of the sports industry in the topn regions in the national total.We select the industry concentration of the top 1, 4, and 8 regions for calculation.xi represents the total assets of the sports goods manufacturing industry in the i region; the average number of workers; the main business income; and the total assets of the sports enterprise legal entity, the employees, and the operating income. X represents the total assets of the national sporting goods manufacturing industry; the average number of workers; the main business income; and the total assets of the sports service industry, the employees, and the operating income.


## 3.3. Quantification of Input-Output Efficiency

Although the spatial Gini coefficient method and the industry concentration measurement algorithm are simple and intuitive, they cannot clearly determine whether the optimization of industry input and output efficiency exists, so more professional methods are needed for in-depth analysis. Location entropy is also one of the indicators that reflect the degree of industrial clusters in a particular region and is used to measure the spatial distribution of factors, that is, the share of industries in the regional economy and the proportion of industries in the entire national economy. What needs to be explained is that due to the influence of many factors, the rationality of the index will inevitably show deviation. The policy level, economy, society, and technology each have a weight of 0.20 in the entire sports industry environmental evaluation index system. The contribution degree is based on the experience of the Eastern Sports Industry and the data researched by the National Sports Industry Center, as well as consulting mentors and advisors. Experts finally formed the final distribution based on the existing theoretical basis and local reality. In this way, the calculation formula of the sports industry environmental index can be obtained. In the calculation formula,X represents the index, Y represents the weight of the index in the entire index system, and n is the serial number of the index weight. Finally, the above indicators are in the process of the sports industry. Table 1 indicates the quantitative indicators of input-output efficiency.Table 1
Quantitative indicators of input-output efficiency.
Index numberFirst-level indicatorSecond-level indicatorThird-level indicatorFactor weight1Financial capabilityReturn on assetsCurrent ratio0.11Asset turnover rateIndicator complaint rate0.06Operating income growth rateIndicator complaint handling rate0.232Customer service abilityDistribution accuracyThe freshness of calculation products0.11On-time rate of cold chain distributionThe time rate of information interference0.13Logistics service efficiencyInformation transmission accuracy0.213Information technology capabilitiesInformation coverageTechnical compatibility0.07Information sharing degreeThe utilization rate of refrigerated trucks0.08Data envelopment analysis is a nonparametric system analysis method that uses mathematical models to evaluate the relative efficiency of Decision-Making Units (DMU). By judging whether the DMU is PEST valid, it can be determined whether the DMU is on the leading edge of the production possible set. Based on the selection of multiple input and output indicators, the PEST method does not need to consider the dimensions of different unit indicators. Therefore, despite the different quality of efficiency indicators, data envelopment analysis can still avoid the interference of subjective elements and the single problem of evaluation elements, which is also a manifestation of its superiority that cannot be underestimated. The former is the minimum input for each item under a given output level; the latter is the maximum output for each item under the given input level.Figure3 shows a quantitative framework for input-output efficiency. Given that the national sports industry is a sunrise industry, the scale of investment is dynamically changing, and based on the development of the sports industry in recent years, it can be predicted that the national sports industry will become more prosperous in the next few years. Therefore, this study adopts an output-oriented model. Commonly used basic models include the CCR model for evaluating overall efficiency and the BCC model and for evaluating pure technical efficiency. The specific improvement process and calculation method are not repeated here. It should be pointed out that, in order to make up for the traditional PEST model and so on, this paper will also use the super-efficiency data envelopment model (SE-PEST) developed on the basis of the traditional PEST model. The efficiency value of the effective unit is calculated more accurately.Figure 3
Quantification framework of input-output efficiency.


## 3.4. Evaluation Model Factor Iteration

This study uses the quantitative economic model method and first uses the CCR, BCC, and SE-PEST models in the data envelopment analysis to measure the input-output efficiency of the national sports industry in 2019. Second, geospatial factors are added to the spatial measurement economics model to make up for the ignorance of spatial effects when dealing with economic issues in previous related studies. We select the input-output efficiency of the national sports industry in 2019 as the explained variable; calculate the total assets of the sports goods manufacturing industry, the average number of workers in the sports goods manufacturing industry, the total assets of the sports enterprise legal person unit, and the location entropy of the employees of the sports enterprise legal person unit; and select them to explain the variables. A spatial regression model was constructed to explore the influence of the professional agglomeration level.Global Moran's I index reflects the correlation between regional units and neighboring regional units in the entire study area and points out the distribution mode of regional variable values, which include agglomeration and discrete or random distribution modes. Its value range is [−1, 1], where −1 means that the variable value is completely negatively correlated in space and 1 means completely positive correlation; when the value is close to 0, it presents an uncorrelated random distribution state; when Moran’s I is positive, it indicates that there is a positive correlation, and similar observations (high or low) tend to be spatially clustered. When Moran's I is negative, this means that there is a negative correlation. Similar observations tend to be distributed in space, that is, different attribute values tend to cluster. Figure4 is the SWOT-PEST model evaluation model factor similarity distribution.Figure 4
SWOT-PEST model evaluation model factor similarity distribution.Exploratory spatial data analysis (ESDA) is a spatial data analysis method that identifies whether certain variables are spatially related and clustered. If a certain variable appears as agglomeration in space, this means that this variable has autocorrelation among all regional units in the space and that if the value of a certain regional unit is higher (lower), the surrounding area unit is also higher (lower). Like many research contents, the input-output efficiency of the national sports industry has spatial location characteristics and also has spatial heterogeneity and spatial agglomeration.The system uses the reconstructed sensor information to close the loop. Therefore, the application of spatial autocorrelation analysis method is very suitable for the study of the geographical spatial distribution characteristics of the national sports industry efficiency. First, when analyzing the efficiency of the provincial sports industry, a comparative analysis of the overall efficiency of the sports industry, redundant input and output, pure technical efficiency, scale efficiency, and return to scale between provinces is carried out. Second, when analyzing the agglomeration of the provincial sports industry, a comparative analysis of the spatial Gini coefficient, industry concentration, and location entropy of the province's sports industry for each indicator is carried out. Third, a comparative analysis of the exploratory spatial data analysis results of the national and provincial sports industry agglomeration is conducted.


## 4. Application and Analysis of the Input-Output Efficiency Evaluation Model of the Sports Industry Based on the SWOT-PEST Model

### 4.1. SWOT-PEST Data Feature Extraction

Using the PEST model to explore the resource allocation efficiency of the sports industry is not only an evaluation of the internal operating efficiency of the sports industry system, but also an attempt to find out the inefficient parts of insufficient output on this basis and determine the key factors affecting the development efficiency of the sports industry. Therefore, the input-output efficiency of the sports industry in 31 provinces of the country is taken as the research object, and PEST-SOLVER Pro5.0 software is used to calculate it.Figure5 is a comparison of SWOT-PEST data input and output efficiency. In terms of the specific input-output indicators, the total redundancy rate of sports goods manufacturing assets at the resource input end of the sports industry reached 8.1286%, and 9 provinces needed efficiency improvements; the average number of workers used in the sports goods manufacturing industry was 8.8156%. There are 9 provinces that need to improve efficiency; the total redundancy rate of sports enterprise legal entity assets is 2.9674%, and only 3 provinces need efficiency improvement; on the other hand, the redundancy rate of employees in sports enterprise legal entity units is as high as 17.7449%.Figure 5
Comparison of SWOT-PEST data input and output efficiency.In the context of supply-side reforms, the sub-industry structure of the sporting goods manufacturing industry especially should be adjusted to allocate input resources to truly generate economic benefits. For the sports service industry, it is necessary to improve the labor quality of service personnel and strengthen the exchange and cooperation between sports management and service talents. The results of the resource output end of the sports industry show that although the redundancy rate of the sports goods manufacturing industry is slightly lower than that of the sports service industry, the insufficient output rate of the main business income of the sports goods manufacturing industry in each province is significantly higher than that of the sports enterprises. The under-output rate of corporate operating income was 9.4454% and 2.0433%, respectively.


### 4.2. Simulation of Input-Output Efficiency Evaluation Model

Using OpenGeoDa1.2.0 software with a spatial weight matrix based on adjacency relations, the national sports industry location entropy global spatial autocorrelation Moran's I index was measured, and the specific results are shown below. It can be seen from the statistical results that, except for the global autocorrelation Moran's I index of the employees of the sports enterprise legal entity, which did not pass the 10% significance test, the location entropy of sports industry indicators passed the test, and their global autocorrelation Moran's I index values were all positive.When the fault flag information output by the fault decision mechanism is 1, it is determined that the sensor is faulty. The total location entropy of the assets of the sports enterprise legal person unit passed the 1% significance test. The global autocorrelation Moran's I index is the largest, and the global autocorrelation Moran's I index of the average number of workers in the sports goods manufacturing industry is the smallest. There are 10 regions with the best scale efficiency, accounting for 33.33% of the total. This shows that one-third of the regions have reached the optimal scale of SWOT resource input and output. Moreover, these regions have reached the optimal state of technical efficiency, indicating that the output of these 10 regions has reached the point of maximum scale with this SWOT input, and the optimal efficiency of resource utilization has been achieved. On the other hand, more than 60% of the regions are in a state of non-scale efficiency, so these regions should appropriately strengthen the use and management of SWOT resources.Figure6 illustrates the SWOT-PEST efficiency status evaluation. From the analysis results, on the whole, the input-output efficiency of the macro-environmental sports industry is still improving year by year, but the efficiency is not particularly high. What is reflected here is only a relative figure. In practice, resource utilization may not reach 100% in the effective years. From this perspective, the efficiency of the years where the non-PEST is valid is even lower. It can be seen that in the current situation of insufficient investment in the sports industry in the country, it is necessary and important to improve the efficiency of resource utilization in the sports industry. The existence of redundancy indicates that resources are not fully utilized, and there are a lot of idle fixed assets and teaching equipment that have not played a corresponding role. It can be seen from the under-output rate of colleges and universities that the situation has improved a lot in recent years, which corresponds to the input efficiency.Figure 6
SWOT-PEST efficiency status evaluation.


### 4.3. Example Application and Analysis

Based on the CCR model and using the PEST software platform, the comprehensive efficiency of the input and output of science and technology in various provinces across the country has been measured. The results of the comprehensive efficiency calculation are shown below. PEST is more sensitive to outliers and has requirements for indicators, requiring greater correlation between indicators and a high degree of concentration. After the Pearson correlation analysis of the indicators, the correlation coefficient between the input indicators is relatively high, between 0.88 and 0.96, and the correlation between the output indicators is greater than 0.5. This shows that the above-mentioned data is highly correlated and highly concentrated. The selection of the above-mentioned indicators and data to fit the PEST model can objectively help evaluate the efficiency of scientific and technological input and output.When the fault flag information output by the fault diagnosis decision mechanism is 0, the system is shut down using the sensor measurement information. The average value of the comprehensive efficiency of each province in the country is 0.86. The input and output efficiency of national science and technology is at a relatively high level, which means that we have gradually realized the substantive application of science and technology and applied them in the substantive market. However, it is worth noting that there are still some provinces at a lower level. These provinces should strengthen the transfer of science and technology, provide policy guarantees, establish a transfer mechanism, and improve the level of scientific input and output. Table2 shows the correlation analysis of SWOT-PEST efficiency.Table 2
SWOT-PEST efficiency correlation analysis.
Index levelEpoch numberAverage overlapCorrelation accuracy11000.7650.72122000.6910.66333000.7320.68244000.6710.35455000.7120.421In order to further analyze the evaluation results, based on the BCC model and using the MAXPEST software platform, the pure technical efficiency, scale efficiency, and scale of science and technology input and output in all provinces across the country have been measured. Benefits, including pure technology, scale efficiency, and scale benefit calculation results are shown below. The regional comprehensive PEST value is 0.846, which indicates that the regional SWOT input and output were inefficient, and the relative output of SWOT input was too large, or the output of SWOT was too small relative to the input. However, because its value is close to 1, it is in a state of marginal inefficiency; that is, the best efficiency can be achieved through appropriate adjustments. Therefore, to make the input and output effective, it can be achieved in the short-term adjustment of input and output. The effective value of scale is 0.909, and the return to scale is increasing, which means that the scale of regional investment is insufficient. It is necessary not only to increase the management of SWOT resource input, but also to increase SWOT input appropriately to bring output in the same proportion.Figure7 shows a histogram of SWOT-PEST output indicator scale efficiency. The raw data of the input-output efficiency evaluation of the sports industry shows that, in terms of the overall average value, there are large differences in the input and output of sports industry resources in the eastern, northeastern, central, and western regions. In terms of the national average in the other three regions, although the overall gap between the central and eastern regions is the smallest, most indicators are still below the national average.Figure 7
SWOT-PEST output indicator scale efficiency histogram.In terms of standard deviation, the eastern region has a large gap in input and output with other provinces, and the eastern region has the largest standard deviation. The average level of all indicators in the western region is lower than the standard deviation of most indicators in the central region, indicating that the distribution of input and output in the western provinces is more stable.


## 4.1. SWOT-PEST Data Feature Extraction

Using the PEST model to explore the resource allocation efficiency of the sports industry is not only an evaluation of the internal operating efficiency of the sports industry system, but also an attempt to find out the inefficient parts of insufficient output on this basis and determine the key factors affecting the development efficiency of the sports industry. Therefore, the input-output efficiency of the sports industry in 31 provinces of the country is taken as the research object, and PEST-SOLVER Pro5.0 software is used to calculate it.Figure5 is a comparison of SWOT-PEST data input and output efficiency. In terms of the specific input-output indicators, the total redundancy rate of sports goods manufacturing assets at the resource input end of the sports industry reached 8.1286%, and 9 provinces needed efficiency improvements; the average number of workers used in the sports goods manufacturing industry was 8.8156%. There are 9 provinces that need to improve efficiency; the total redundancy rate of sports enterprise legal entity assets is 2.9674%, and only 3 provinces need efficiency improvement; on the other hand, the redundancy rate of employees in sports enterprise legal entity units is as high as 17.7449%.Figure 5
Comparison of SWOT-PEST data input and output efficiency.In the context of supply-side reforms, the sub-industry structure of the sporting goods manufacturing industry especially should be adjusted to allocate input resources to truly generate economic benefits. For the sports service industry, it is necessary to improve the labor quality of service personnel and strengthen the exchange and cooperation between sports management and service talents. The results of the resource output end of the sports industry show that although the redundancy rate of the sports goods manufacturing industry is slightly lower than that of the sports service industry, the insufficient output rate of the main business income of the sports goods manufacturing industry in each province is significantly higher than that of the sports enterprises. The under-output rate of corporate operating income was 9.4454% and 2.0433%, respectively.


## 4.2. Simulation of Input-Output Efficiency Evaluation Model

Using OpenGeoDa1.2.0 software with a spatial weight matrix based on adjacency relations, the national sports industry location entropy global spatial autocorrelation Moran's I index was measured, and the specific results are shown below. It can be seen from the statistical results that, except for the global autocorrelation Moran's I index of the employees of the sports enterprise legal entity, which did not pass the 10% significance test, the location entropy of sports industry indicators passed the test, and their global autocorrelation Moran's I index values were all positive.When the fault flag information output by the fault decision mechanism is 1, it is determined that the sensor is faulty. The total location entropy of the assets of the sports enterprise legal person unit passed the 1% significance test. The global autocorrelation Moran's I index is the largest, and the global autocorrelation Moran's I index of the average number of workers in the sports goods manufacturing industry is the smallest. There are 10 regions with the best scale efficiency, accounting for 33.33% of the total. This shows that one-third of the regions have reached the optimal scale of SWOT resource input and output. Moreover, these regions have reached the optimal state of technical efficiency, indicating that the output of these 10 regions has reached the point of maximum scale with this SWOT input, and the optimal efficiency of resource utilization has been achieved. On the other hand, more than 60% of the regions are in a state of non-scale efficiency, so these regions should appropriately strengthen the use and management of SWOT resources.Figure6 illustrates the SWOT-PEST efficiency status evaluation. From the analysis results, on the whole, the input-output efficiency of the macro-environmental sports industry is still improving year by year, but the efficiency is not particularly high. What is reflected here is only a relative figure. In practice, resource utilization may not reach 100% in the effective years. From this perspective, the efficiency of the years where the non-PEST is valid is even lower. It can be seen that in the current situation of insufficient investment in the sports industry in the country, it is necessary and important to improve the efficiency of resource utilization in the sports industry. The existence of redundancy indicates that resources are not fully utilized, and there are a lot of idle fixed assets and teaching equipment that have not played a corresponding role. It can be seen from the under-output rate of colleges and universities that the situation has improved a lot in recent years, which corresponds to the input efficiency.Figure 6
SWOT-PEST efficiency status evaluation.


## 4.3. Example Application and Analysis

Based on the CCR model and using the PEST software platform, the comprehensive efficiency of the input and output of science and technology in various provinces across the country has been measured. The results of the comprehensive efficiency calculation are shown below. PEST is more sensitive to outliers and has requirements for indicators, requiring greater correlation between indicators and a high degree of concentration. After the Pearson correlation analysis of the indicators, the correlation coefficient between the input indicators is relatively high, between 0.88 and 0.96, and the correlation between the output indicators is greater than 0.5. This shows that the above-mentioned data is highly correlated and highly concentrated. The selection of the above-mentioned indicators and data to fit the PEST model can objectively help evaluate the efficiency of scientific and technological input and output.When the fault flag information output by the fault diagnosis decision mechanism is 0, the system is shut down using the sensor measurement information. The average value of the comprehensive efficiency of each province in the country is 0.86. The input and output efficiency of national science and technology is at a relatively high level, which means that we have gradually realized the substantive application of science and technology and applied them in the substantive market. However, it is worth noting that there are still some provinces at a lower level. These provinces should strengthen the transfer of science and technology, provide policy guarantees, establish a transfer mechanism, and improve the level of scientific input and output. Table2 shows the correlation analysis of SWOT-PEST efficiency.Table 2
SWOT-PEST efficiency correlation analysis.
Index levelEpoch numberAverage overlapCorrelation accuracy11000.7650.72122000.6910.66333000.7320.68244000.6710.35455000.7120.421In order to further analyze the evaluation results, based on the BCC model and using the MAXPEST software platform, the pure technical efficiency, scale efficiency, and scale of science and technology input and output in all provinces across the country have been measured. Benefits, including pure technology, scale efficiency, and scale benefit calculation results are shown below. The regional comprehensive PEST value is 0.846, which indicates that the regional SWOT input and output were inefficient, and the relative output of SWOT input was too large, or the output of SWOT was too small relative to the input. However, because its value is close to 1, it is in a state of marginal inefficiency; that is, the best efficiency can be achieved through appropriate adjustments. Therefore, to make the input and output effective, it can be achieved in the short-term adjustment of input and output. The effective value of scale is 0.909, and the return to scale is increasing, which means that the scale of regional investment is insufficient. It is necessary not only to increase the management of SWOT resource input, but also to increase SWOT input appropriately to bring output in the same proportion.Figure7 shows a histogram of SWOT-PEST output indicator scale efficiency. The raw data of the input-output efficiency evaluation of the sports industry shows that, in terms of the overall average value, there are large differences in the input and output of sports industry resources in the eastern, northeastern, central, and western regions. In terms of the national average in the other three regions, although the overall gap between the central and eastern regions is the smallest, most indicators are still below the national average.Figure 7
SWOT-PEST output indicator scale efficiency histogram.In terms of standard deviation, the eastern region has a large gap in input and output with other provinces, and the eastern region has the largest standard deviation. The average level of all indicators in the western region is lower than the standard deviation of most indicators in the central region, indicating that the distribution of input and output in the western provinces is more stable.


## 5. Conclusion

This article is based on literature review and theoretical research, combined with management, sports industry, sociology, and other related knowledge, through reading, analyzing, and synthesizing a large number of documents, to establish a solid theoretical foundation for the study and then use SWOT on this basis. The analytical method analyzes the advantages and disadvantages of the sports industry environment. Next, on the basis of the macro environment, a quantitative index evaluation system is established. Based on the comprehensive performance evaluation, the environment of the employees in the regional sports industry can be analyzed. The main innovations of this article are as follows: (1) this article is a component of the sports industry. Part of the input-output efficiency of the sports industry is studied. (2) This article uses a combination of quantitative analysis and qualitative analysis to study the input-output efficiency of the macro-environmental sports industry, breaking through the previous limitation that the sports industry is limited to qualitative research. Finally, based on the SWOT strategic analysis method and comprehensive evaluation system, corresponding countermeasures and suggestions are put forward, which will help practitioners to distinguish the priority when implementing the sports industry, achieve a targeted goal, and provide opportunities for the sports industry, evaluation of sports industry opportunities, and evaluation of environmental factors. Furthermore, the study proves that the sensor soft closed-loop fault-tolerant control method based on the multimodel neural network predictor is effective. A certain theoretical reference is also conducive for the government to maximizing the improvement of the sports industry environment.



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*Source: 6294745-2021-12-22.xml*