International experience indicates that, in the villages of many developing countries, including China, access to financial markets, as well as the degree of know-how prevailing with regard to benefitting from these markets through procurement of credit, are far from optimistic, and thus rural households are confronted with severe credit constraints [1–3]; additionally, it is observed that such a situation tends to be worse in regions characterised by a relatively backward level of economic development. In recent years, the Chinese government has gradually come to realise that the backwardness of rural economic development has had an adverse impact on the effectiveness-of-access enjoyed by the people living in these regions to financial markets; resultantly, there is an insidious impact on the increase in the real income of rural dwellers. Considering this situation, therefore, a series of revolution measures has been adopted by the government. However, the new round of rural financial revolution policies has not resulted in the needed results. Thus, overcoming the credit predicament among peasant households in the rural areas of China still remains a significant task to be accomplished. Therefore, it has become particularly important to identify the influencing factors of the credit constraint for Chinese rural households.
With regard to the influencing factors of credit constraint, relevant scholars have brought out a series of theories and empirical analyses. For example, [4] have opined that the essential problem of rural household credit constraint lies in the credit distribution of the financial organisations; [5] has studied the credit constraint of the rural household from the aspects of political participation and the financial participation, and the result has shown that both the political participation and the financial participation have an obvious impact on the rural household’s credit constraints. The rural households with political participation bear a rate of being constrained by the credit that is 1.25% lower than that of the rural households without political participation, and the rural households with financial participation have a rate of being constrained by the credit that is 29.4% lower than that of the rural households without financial participation. In their research, [6] find that the rural households with loan note will have a credit constraint intensity that is perceptibly reduced by 10.57% and a production-type credit constraint that is perceptibly reduced by 24.02%. In the meantime, the rural households with loan note enjoy perceptibly less credit constraints in rural production than those without loan notes. However, few researches have studied the effect of financial literacy on the rural household’s credit constraints.
In fact, the financial literacy bears a variety of influences on the economic behaviours of the family or the rural household, such as start-up, stock participation and insurance purchase. For example, in their study, [7] have ascertained that the financial literacy of correctly calculating the deposit interest rate and correctly identifying the stock and fund risks can increase the start-up rate of the family and the household; [9, 8] based on their analysis, have discovered that by promoting the family’s loan channel preference, the financial literacy could level-up the family’s credit demand and credit accessibility, improve the family’s attitude towards the risks, attenuate or minimise the inhibiting effect of credit constraint on the entrepreneurship, and enhance the family’s entrepreneurial intention; [10] find that the higher the interviewees’ financial literacy level, the more varied their financial product investments will be, and a greater financial literacy level would also ensure that their investment would not be limited to just one; according to the research of [11], the higher the interviewees’ financial literacy, the higher their risk preference will be, and therefore, the family stock market engagement rate will accordingly be increased; also, [12] have ascertained based on their analysis that the increase of financial literacy will level-up the households’ possibility of attending commercial insurance as well as their participation degree.
Therefore, it is reasonable to believe that the financial literacy also could affect the easing of the rural household’s credit constraint; however, the related articles are relatively limited. Within these limited researches, the following can be mentioned: [13–15] opines that the financial literacy level of the borrowers is bound up with their credit quality. The higher the borrowers’ financial literacy level, the stronger their repayment ability, and therefore, the possibility of credit constraint may be attenuated; [13] have carried research on the effect of the village’s financial environment on the rural household’s credit constraint, and it is proved by the research result that the policies of the rural credit cooperative have an obvious impact on reducing the rural household’s credit constraint, laterally reflecting the effect of financial literacy on the credit constraint; [14] have also found that the improvement of the financial literacy level and the education level is good for increasing the household’s formal credit gain and reducing the informal credit preference; [15] based on their analysis, have discovered that the higher the financial literacy level, the higher the family formal credit gain rate will be, and this is good for easing the family credit constraint. However, few articles have considered both the formal and informal situations, or the sample choosing between credit demand and credit constraint.
It is worth noting that, to achieve the research object of this thesis, when building the model, a few problems were encountered that needed to be solved. On the one hand, when studying the factors affecting the rural household’s credit constraint, the credit demand shall be controlled, for a part of the credit demand that has not shown up due to the market failure, in case of losing control, will result in the sample choosing error [16]. Consider the formal credit constraint for an example: not all rural households would be constrained by credit, for only the rural households with credit demand would be constrained by credit. Therefore, it is not hard to find that the rural households for formal credit constraint research are not randomly drawn from the totality, and a certain extent of sample choosing issue has existed. On the other hand, the endogeneity problem should be taken into consideration for the effect of financial literacy on the rural household credit constraint: for example, the omitted variable (such as the unobservable ability of the rural household) may affect the financial literacy level and the credit constraint situation of the rural household. When the financial literacy eases the rural household’s credit constraint, the rural household might improve its financial literacy level through easing the credit constraint. The two aforesaid aspects all can result in the endogeneity problems, and the current researches could have inspected one of them at most; for example, [17] have studied and surveyed the endogeneity error caused by the sample choosing, while they have only noticed the endogeneity error caused by the omitted variable and bidirectional causality. Therefore, to solve the aforesaid problems, a new model and measure should be adopted.
The data adopted by this thesis have been drawn from the rural household investigation data of Shaanxi and Yunnan in 2016, mainly covering the basic family situations of Shaanxi and Yunnan during the period 2013–2015. Heckprobit model (hereafter referred to as IV-Heckprobit model) has been adopted to study the effect of financial literacy on the rural household’s credit constraint and its change law. Compared with the existing researches, this thesis has enhanced the following aspects: firstly, the financial literacy aspect has been introduced directly into the model, empirically analysing the impact of the interviewees’ financial literacy level on their formal and informal credit demand and constraint, resulting in flourishing and deepening of the content and level of the credit constraint research; secondly, on this basis, by probing into the issue of how the financial literacy has adapted and changed concomitantly with the marketisation process, as well as with the increase in the formal financial development and the rural household income, this thesis offers a comprehensive and profound conclusion. Thirdly, adopting the IV-Heckprobit model has solved the estimation error caused by sample choosing and endogeneity.
The rest of this thesis will be arranged as follows: the second part will be an analysis on the related theories, which presents the theoretical hypothesis of the effect of financial literacy on the rural household’s credit behaviour; the third part is the explanation and analysis of the source of the data used by this thesis to choose and introduce the variable; the fourth part involves building the corresponding measurement model, bringing up the estimation result and surveying the effect of financial literacy on the rural household’s credit behaviours; the fifth part presents a discussion of the model, and the results derived from testing the same, to probe into how the aforesaid effects have changed concomitantly with the marketisation process, the formal financial development and the rural household’s income increase; the final part arrives at a conclusion and presents the corresponding policies and opinions.
In terms of theory, financial literacy is a specific human capital. In the economic behaviours of the rural household, financial literacy can promote the investor’s information processing capability, reduce the family’s cost of attending the financial market to expand the family fortunes’ scale and enhance the consumption preference on durable goods. Beck et al. observe that if people are not familiar with financial products, they would not show any interest in the same and thus not contribute to the prevailing demand. Financial literacy reflects people’s mastery over financial concepts and application of these elements of knowledge to fund management. Through studying the built financial education demand model, Marcolin and Abraham have entered the relevant parameters of financial literacy, observed financial output changes such as individual credit, deposit and investment behaviours, and finally proposed their positive-correlation relationship. A group of people lacking sufficient financial literacy, or who are altogether financially illiterate, will always perform some behaviours that are bad from the perspective of the financial benefits involved in financial activities, and this inference is the same as the research result of Lusarid and Mitchel. In the meantime, the financial literacy level has an obvious impact on the family’s formal credit constraint situation; the richer the financial literacy of the interviewee, the lower the interviewee’s possibility of being constrained by formal credit will be.
The financial literacy could promote the rural household’s cognitive competence, enhance the rural household’s repayment will and lower down the rural household’s credit default risk, and as a result it will affect the rural household’s credit demand.
As the financial market develops rapidly, the financial literacy will have an increasingly bigger effect on the family credit behaviour. The specific factors that go into determining the manner in which and extent up to which financial literacy can be expected to impact the credit behaviour is explained in terms of the following: Firstly, the levelling-up of the financial literacy level could promote the rural household’s cognition degree towards the credit business and financial products of different financial organisations, helpful for the rural household to make a wiser decision [18] and affecting the credit demand of the rural household laterally. In case the rural household does not understand or is not familiar with the financial products and credit policies of the financial organisations, the rural household might think they would not be able to gain the credit and choose to give up the credit application [19, 21] in which case the credit demand would be reduced. On the one hand, the cognitive deficiency of the rural household is the main reason for the rural household to be affected by the credit constraint. On the other hand, the rural household of a higher financial literacy level will carefully and rationally consider its credit behaviour, objectively think about the credit default cost and then reasonably deal with its credit demand. Secondly, to a certain extent, the financial literacy level of the rural household could reflect its credit rating. The higher the financial literacy level of the rural household, the more it cares about its credit rating, and therefore, the credit demand will be higher and the credit constraint will be lower.
The financial literacy could increase the rural household’s yield rate, to affect the rural household’s loan repayment ability and bring down the credit constraints.
The specific factors that go into determining the manner in which and extent up to which financial literacy can be expected to impact the household’s yield rate is explained in terms of the following: Firstly, the financial literacy could help the rural household make a rational decision, increase the rural household’s family income, enhance its loan repayment ability and then bring down the rural household credit constraint (Lusardi et al., 2013). On the one hand, it is hard for the rural household with lower financial literacy make a correct and rational financial plan, and such an irrational financial decision will bring about a negative effect on the rural household [22]; for example, a family financial crisis may be raised, the rural household’s loan repayment ability will be affected, and as a side effect, both the credit demand and constraint of the rural household will be affected. On the other hand, as soon as the rural household with a lower financial literacy level makes a mistake in financial decisions, it is hard for them to adopt effective remedial measures, and as a result, more wrong decisions will be made and the rural household’s possibility of credit constraint will be increased. Secondly, in the case that the household pays close attention to financial and economic information and undergoes financial courses to improve financial computing power and predictive inference level, the family financial demand will be released and the financial exclusion rate will be perceptibly reduced [23].
The used data used in this thesis has been drawn from the rural household investigation data of Shaanxi and Yunnan in 2016, mainly involving the basic family information of Shaanxi and Yunnan for the period 2003–2005. This investigation has adopted the step sampling way to survey the regions in Shaanxi and Yunnan, gaining detailed information about 600 rural families with regard to parameters such as population characteristics, income, property and credit. After screening out the invalid samples with information gaps and filling errors, there are 530 valid samples, with a questionnaire effective rate of 88.33%. This has provided a better data support to the thesis to analyse the effect of financial literacy on the rural household’s credit availability.
This questionnaire survey has investigated several basic features of the rural households; however, bearing in mind the need to maintain the thesis length at an acceptable level, this thesis will only make a brief report. On the aspect of gender, the proportion of the male households and that of the female households are, respectively, 89.06% and 10.94%; on the age aspect, the people are aged mainly between 30 years and 59 years, taking up 77.36%; on the education aspect, the people with middle school education background are the most, taking up 41.89% of the whole sample, and the ones without primary-school education background or of junior-college education background or higher have taken up 4.53% and 5.09%, respectively; with regard to the aspect of political background, the majority of the households are not party members, for the ones of party membership are just 16.79%.
Inquire the households with Questions 1 and 2; use Table 1 for reference. In case the household has chosen Option ①, this household will be considered as the one without credit demand. Based on this, and based on whether the household has a credit demand, the binary dependent variable
Questions 1 and 2 involved in the questionnaire
Question | Answers and options | |
---|---|---|
Q1 | In the recent 3 years, in case of loan demand and contact with the bank or credit cooperatives, which option fits your reality the most? | ① No need to borrow |
Q2 | In the recent 3 years, in case of loan demand and contact with family members, friends and neighbours, which option fits your reality the most? | ① No need to borrow |
The two questions in the questionnaire of the same credit demand (Q1 and Q2) will test whether the household is constrained by the credit. In case the rural household’s answer to these two question is ⑤, this rural household does not suffer from credit constraint, or it is constrained by credit. Based on this, and based on whether the rural household is constrained by credit, the binary dependent
When inquired with Q1, in case the rural household answers with ‘No need to borrow’, it indicates the rural household does not have formal credit demand, and in the absence of this answer, the rural household will be considered as having formal credit demand. Based on this, and based on whether the rural household has the formal credit demand, the binary dependent variable
For the aforesaid Q1, if the rural household answers as ‘How much is applied will be permitted’, then it means the rural household is not constrained by formal credit. In case of answer with Option ②, ③, or ④, the rural household is considered to be constrained by credit. Based on this, and based on whether the rural household suffers from formal credit, the binary dependent variable
The aforesaid question 2 is used to test whether the rural household has an informal credit demand. In case the rural household answers as ‘No need to borrow money’, it means the household does not have an informal credit demand, and in case any other answer is obtained this indicates that the rural household does have such a demand. Based on this, and based on whether the rural household has informal credit demand, the binary dependent variable
For Q2, in case the rural household’s answer is Option ⑤, the rural household is considered as having no informal credit constraint. In case the rural household answers with one of the three options other than Options ① and⑤, the rural household is considered as suffering an informal credit constraint. Based on this, and based on whether there is an informal credit constraint, the binary dependent variable
The core variable in this thesis is the financial literacy. By referring to the work methods of the mainstream studies in the literature dealing with this topic [24], this thesis has set up questions about financial literacy, involving interest rate, currency inflation, and the comparison between interest rate and currency inflation. However, the dependency of the aforesaid questions is very high, and the existing documents have processed from the following angles: the first is to simply integrate the correctness of the financial literacy, and the advantage of such a method is that it is concise and explicit; the second is to make use of methods such as principal component analysis (PCA) and factor analysis (FA), to draw the common factor and eliminate the dependency between variables. This thesis has adopted the way of extracting the common factor to process the financial literacy.
Scholars such as Zhichao et al. have opined that, when the rural household answers the financial questions in the questionnaire, ‘I don’t know’ and ‘Wrong’ are two different concepts, for they reflect different financial literacy levels. In case the rural household answers as ‘I don’t know’, it means the rural household does not understand the basic concepts. When the household answers as ‘Wrong’, the rural household could be considered as having a certain degree of understanding over the basic concepts of financial literacy; however, such a degree is not sufficient to enable the respondent to correctly answer the financial questions.
By learning from the previous researches, this thesis builds two dummy variables for each financial question according to the answers, to measure the financial concept (answer as ‘I don’t know’ = 1, others = 0) and the financial computing ability (correct answer = 1, others = 0), and an iteration principal FA will be carried out on the six dummy variables produced by the three financial questions, to get the factor comprehensive score and define it as Financial Literacy 1.
By referring to the previous researches, this thesis has introduced the control variables as follows (for detailed information, please refer to Table 2). The householder’s personal characteristic variable (householder’s gender, age, education background, risk attitude and whether he is a party member or not), the family member’s social characteristic variable (labour force proportion, family size, family yearly income and social expenditure), financial environment characteristic variable (the distance to the bank and deposit) and regional characteristic variable (whether it is Shaanxi province or not).
Variable definition and descriptive statistics
Credit constraint | d2 | Whether suffer from credit constraint during 2013–2015: yes = 1, no = 0 | 488 | 0.926 | 0.262 | 0 | 1 |
Credit demand | d1 | Whether have credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.921 | 0.270 | 0 | 1 |
Formal credit constraint | y2 | Whether suffer from formal credit constraint during 2013–2015: yes = 1, no = 0 | 472 | 0.646 | 0.479 | 0 | 1 |
Formal credit demand | y1 | Whether have formal credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.891 | 0.312 | 0 | 1 |
Informal credit constraint | y4 | Whether suffer from informal credit constraint during 2013–2015 | 436 | 0.833 | 0.374 | 0 | 1 |
Informal credit demand | y3 | Whether have informal credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.823 | 0.382 | 0 | 1 |
Financial Literacy 1 | FL1 | Set up six dummy variables according to the three questions (interest rate, currency inflation, and comparison between currency inflation and interest rate); each financial question will bring up two dummy variables; through the FA, get Financial Literacy 1’s score | 530 | 0.577 | 0.326 | 2.19e–07 | 1 |
Financial Literacy 2 | FL2 | Number of correctly answering the financial questions: correct for 0 = 0, correct for 1 = 1, correct for 2 = 2, correct for 3 = 3 | 530 | 1.349 | 1.014 | 0 | 3 |
Householder gender | genr | Household gender: male = 1, female = 0 | 530 | 0.891 | 0.312 | 0 | 1 |
Household’s education background | degree1 | Householder’s education background: didn’t attend primary school = 1, primary school = 2, middle school and junior college = 4, junior college and higher = 5 | 530 | 2.953 | 0.932 | 1 | 5 |
Householder’s age | age | Householder’s age in 2015; unit: years of age | 530 | 47.23 | 12.01 | 22 | 89 |
Risk attitude | attitude | Preferring risk = 1, not preferring risk = 0 | 530 | 0.585 | 0.493 | 0 | 1 |
Labour force proportion | labour | The proportion of family labour force in the overall number, unit:% | 530 | 0.570 | 0.227 | 0.143 | 1 |
Family size | family | Family size in 2015 | 530 | 4.345 | 1.572 | 1 | 13 |
Distance to financial organisations | dista | Distance to the nearest financial organisation, take the logarithm; unit: kilometre | 530 | 1.256 | 0.628 | 0 | 3.434 |
Family yearly income | income | Total family income in 2015, unit: 10,000 yuan | 530 | 10.47 | 0.714 | 8.517 | 13.82 |
Social expenditure | social | Family’s social expenditure for interaction, unit: 1000 yuan | 530 | 6.200 | 3.131 | 0 | 10.82 |
Political identification | polic | Whether is party member: yes = 1, no = 0 | 530 | 0.168 | 0.374 | 0 | 1 |
Family deposit | saving | Whether the family has deposits in 2015, yes = 1, no = 0 | 530 | 0.579 | 0.494 | 0 | 1 |
Shaanxi | sx | Whether belongs to Shaanxi region, yes = 1, no = 0 | 530 | 0.449 | 0.498 | 0 | 1 |
Highest education background | degree2 | The highest education background of the family members: didn’t attend primary school = 1, primary school = 2, middle school = 3, junior school and junior college = 4, junior college and higher = 5; the instrumental variable of Financial Literacy 1 | 530 | 3.774 | 1.042 | 1 | 5 |
The village’s average Financial literacy level | average | The average value of the Financial Literacy 1 of the same village will be the instrumental variable of Financial Literacy 1 | 530 | 0.577 | 0.099 | 0.349 | 0.705 |
Technical training | train | Whether attended a technical training during 2013–2015: attended = 1, no = 0 | 530 | 0.353 | 0.478 | 0 | 1 |
FA, factor analysis
To ensure the model could be estimated under both phases, credit demand and credit constraint, it was ensured that the variables in these two phases could not be totally the same. Therefore, the risk attitude of the householder will be introduced as a cognitive variable into the model of credit demand phase; it is not introduced into the credit constraint phase, since it will be easier for the householder with risk preference to have credit demand in the absence of a direct consequential impact on the credit constraint (Table 2).
According to the previous researches, the credit behaviours of the rural household could be successively divided into two phases: credit demand and credit constraint. Therefore, when studying the effect of financial literacy on the rural household’s credit constraint, the bias error caused by the sample selectivity must be overcome. In the meantime, due to the endogeneity problems in the financial literacy, in order to overcome both the endogeneity problem and sample selectivity problem, this thesis has adopted IV-Heckprobit model, to effectively correct the estimation error caused by endogeneity and sample selectivity. The model is set as follows:
Credit demand and credit constraint:
In order to probe into the analysis on the credit behaviours of the rural household, this thesis has divided the credit demands into formal and informal credit demands according to the previous researches, and divided the credit constraints into formal and informal credit constraints, to further survey the credit behaviours of the rural household. The detailed model is as follows:
Formal credit demand and credit constraint:
Informal credit demand and credit constraint:
In this thesis, the financial literacy bears a more obvious endogeneity problem. Firstly, it’s hard to measure the householder’s capacity, since an issue of omitted variable exists; secondly, depending on three financial questions, the task of measuring the financial literacy level of the householder bears an obvious measuring error problem; and finally, the extent of the financial literacy will affect the credit behaviour of the rural household, and in the meantime, the previous credit experience of the rural household also has an impact on the financial literacy. Therefore, there is a two-way causal relationship between the financial literacy and the credit behaviour in this thesis. In order to gain the exact and reliable conclusion, this thesis has tried to choose the appropriate instrumental variable to effectively correct the estimation error.
By taking lessons from the research of this thesis has chosen the Village Average Financial Literacy Level as the first instrumental variable, which has been calculated using Financial Literacy 1. The Village Average Financial Literacy Level means the average financial literacy level of the rural households in the village (obtained from the average values of the financial literacy level of the rural households in the same village), affecting the financial literacy level of an individual rural household and without affecting its credit behaviour. Besides, this thesis has chosen the highest education background of the family members (excluding the householder) as the second instrumental variable. The family credit behaviour is mainly determined by the householder; therefore, although the education background of other family members might affect the household’s financial literacy level, there is no direct contact between it and the credit behaviour of the householder.
Meanwhile, the financial literacy will affect the family income and the householder’s risk attitude, and the family income will also affect the family social expenditure and deposit. Therefore, this thesis has carried out the Pearson correlation test on financial literacy, household risk attitude, family yearly income and social expenditure, as well as a significance test. (Results are shown as Table 3.)
Correlation coefficient table
FL1 | 1 | ||||
Income | 0.2369** | 1 | |||
Social | 0.1421** | 0.3634** | 1 | ||
Saving | 0.2593** | 0.2116** | 0.2805** | 1 | |
Attitude | 0.3035** | 0.1126** | −0.0207 | 0.1120** | 1 |
As seen from the data in Table 3, although there is a prominent correlativity existing in the relationship between financial literacy, family yearly income, social expenditure, deposit and household risk attitude, the correlation coefficients between these five variables are expressed based on pairs, and the highest one is 0.3634, between household income and social expenditure. Therefore, bringing these variables into the model would not result in the problem of multicollinearity.
This part will empirically analyse the effect of financial literacy on the credit demand and credit constraint of the rural family.
Table 4 has reported the estimation results of financial literacy, credit demand and credit constraint analysed from the IV-Heckprobit model. In this regard, corr(e.d1,e.d2) is a correlation coefficient between Formulas (1) and (2), and it is prominent at a level of 5%, which shows that when estimating the rural household credit constraint formula, the problem of sample selectivity exists, indicating that the choice of the IV-Heckprobit model has been a rational one. Besides, in consideration of endogeneity problem, this thesis has used the village average financial literacy and the highest education background of family member as the instrumental variables to carry out the two-phase estimation, as shown as Formula (3). From the result, we can infer that the highest education background of family member and the village average financial literacy are prominent at the levels of 1% and 10%, respectively. Additionally, the test result has been reported under the table, corr (e.FL1,e.d1) is remarkable in level of 1%, indicating the model bears an endogeneity problem and has no weak instrumental variable problem.
Financial literacy, credit demand and credit constraint
FL1 | 1.699 | 2.964*** | — |
(1.059) | (0.441) | — | |
genr | −0.224 | 0.509** | −0.013 |
(0.330) | (0.212) | (0.043) | |
degree1 | 0.066 | −0.060 | 0.016 |
(0.112) | (0.082) | (0.016) | |
age | 0.012 | 0.006 | −0.002* |
(0.008) | (0.006) | (0.001) | |
attitude | — | -0.044 | — |
— | (0.126) | — | |
labour | −0.161 | −0.737** | 0.100 |
(0.444) | (0.321) | (0.064) | |
family | −0.018 | 0.044 | 0.006 |
(0.059) | (0.055) | (0.010) | |
dista | −0.266** | −0.065 | 0.017 |
(0.133) | (0.115) | (0.021) | |
income | −0.219 | −0.153 | 0.065*** |
(0.147) | (0.115) | (0.020) | |
social | −0.017 | −0.020 | −0.004 |
(0.030) | (0.026) | (0.005) | |
polic | −0.274 | −0.134 | 0.010 |
(0.215) | (0.185) | (0.036) | |
saving | −0.015 | −0.079 | 0.098*** |
(0.231) | (0.190) | (0.029) | |
sx | Controlled | ||
average | — | — | 0.608*** |
— | — | (0.148) | |
degree2 | — | — | 0.021* |
— | — | (0.012) | |
Constant | 2.776** | 0.908 | −0.585*** |
(1.392) | (1.110) | (0.223) | |
corr(e.d1,e.d2) | — | — | −0.241** |
corr(e.FL1,e.d2) | — | — | −0.384 |
corr(e.FL1,e.d1) | — | — | −0.749*** |
Formula (2) is the estimation result of financial literacy and credit demand. It is shown that the financial literacy (FL1) has a prominent positive effect on the credit demand of the rural household, and the higher the financial literacy of the rural household, the bigger the possible credit demand will be. The reasons might be as follows: On the one hand, when the rural household of a higher financial literacy level understands more about the loan application conditions and procedures of the financial organisation, the credit constraint caused by lack of financial literacy will be reduced, while the financial credit demand will be increased [25]; on the other hand, when the rural household improves its financial literacy level, it is more willing or it is easier for it to make use of the financial instruments to alter the current status of lack of innovation and investment opportunity and transform it in a positive direction – for example, the rural household can afford to entertain a more positive attitude towards participation in investment, and thus start-up businesses by availing credit, which would release the household’s potential credit demand. Besides, the householder’s gender also has a remarkable influence on his credit demand; the male householder’s demand on credit will be more perceptible. This is possibly attributable to the fact that in a rural family, the male householder is the economic kingpin of the family, and therefore, in order to promote the family’s living conditions and economic income, his demand on credit will be increased.
Formula (1) represents the estimation result of financial knowledge and credit constraint. The result indicates that the effect of financial knowledge on the credit constraint is not prominent, which is inconsistent with the cognition of this thesis. Bearing comprehensive financial knowledge, the rural household has a certain degree of understanding of the credit policies and interest rates of the organisations and the capital operation procedures of the organisations. In the meantime, a higher financial knowledge level could drive the wealth accumulation of the rural family, promote the rural household’s repayment capacity and reduce the rural household’s constraint met in the credit process. There are reasons for the phenomenon that the effect of financial literacy on the rural household’s credit constraint is not prominent. The credit constraints encountered by the rural households can be divided into formal and informal credit constraints, according to the financial organisation partition; therefore, in the following subsection, the relationship between financial literacy and credit constraint will be studied from these two aspects, namely formal and informal credit constraints.
Table 5 indicates the estimation results of financial literacy and formal credit demand, formal credit constraint and informal credit demand, informal credit constraint. Formulas (4)–(6) represent the financial literacy’s estimation result of formal credit demand and constraint, while Formulas (7)–(9) represent the financial literacy’s estimation result on informal credit demand and constraint. In this regard, corr(e.y1,e.y2) and corr(e.y3,e.y4) are, respectively, prominent at the levels of 5% and 10%, indicating that a sample selectivity problem exists in the rural household credit constraint estimation formula. Besides, Formulas (6) and (8), individually, are the estimation results of the instrumental variable, showing that the village average financial literacies are prominent at the level of 1 in both formulas, and additionally, orr(e.FL1,e.y2), corr(e.FL1,e.y1) and corr(e.y3,e.y4) are remarkable at the levels of 1%, 5% and 10%, respectively, indicating that the formula of rural household formal credit constraint and informal credit constraint does not bear a weak instrumental variable problem but the endogeneity problem.
Financial literacy and credit demand, credit constraint: formal and informal
FL1 | −2.131*** | 2.206*** | — | 1.491 | 2.558*** | — |
(0.795) | (0.798) | — | (0.971) | (0.581) | — | |
genr | −0.269 | 0.581*** | −0.015 | 0.116 | 0.405** | −0.014 |
(0.263) | (0.214) | (0.043) | (0.227) | (0.189) | (0.043) | |
degree1 | 0.146** | −0.079 | 0.022 | 0.063 | −0.008 | 0.019 |
(0.071) | (0.086) | (0.016) | (0.090) | (0.080) | (0.016) | |
age | −0.001 | −0.001 | −0.002* | 0.008 | 0.007 | −0.002* |
(0.006) | (0.007) | (0.001) | (0.007) | (0.006) | (0.001) | |
attitude | — | 0.090 | — | — | −0.431*** | — |
— | (0.146) | — | — | (0.137) | — | |
labour | 0.220 | −0.601* | 0.112* | −0.406 | −0.553* | 0.106* |
(0.334) | (0.339) | (0.064) | (0.351) | (0.291) | (0.064) | |
family | 0.094* | 0.098 | 0.008 | −0.074 | −0.001 | 0.007 |
(0.056) | (0.062) | (0.010) | (0.049) | (0.044) | (0.010) | |
dista | −0.199* | −0.090 | 0.018 | −0.087 | −0.043 | 0.018 |
(0.115) | (0.117) | (0.021) | (0.112) | (0.103) | (0.021) | |
income | 0.105 | −0.200 | 0.067*** | −0.275** | −0.119 | 0.066*** |
(0.115) | (0.125) | (0.021) | (0.124) | (0.107) | (0.020) | |
social | −0.058** | −0.016 | −0.003 | 0.022 | −0.046* | −0.004 |
(0.026) | (0.027) | (0.005) | (0.024) | (0.025) | (0.005) | |
polic | 0.110 | −0.098 | 0.014 | −0.330* | 0.096 | 0.012 |
(0.158) | (0.202) | (0.036) | (0.176) | (0.178) | (0.036) | |
saving | 0.074 | 0.097 | 0.095*** | −0.134 | −0.157 | 0.096*** |
(0.170) | (0.224) | (0.029) | (0.188) | (0.166) | (0.029) | |
sx | Controlled | |||||
average | — | — | 0.657*** | — | — | 0.649*** |
— | — | (0.144) | — | — | (0.143) | |
degree2 | — | — | 0.003 | — | — | 0.011 |
— | — | (0.013) | — | — | (0.012) | |
Constant | 0.340 | 1.739 | −0.608*** | 3.115*** | 0.848 | −0.603*** |
(1.016) | (1.158) | (0.223) | (1.146) | (1.002) | (0.223) | |
corr(e.y1,e.y2) | –0.353** | — | ||||
corr(e.FL1,e.y2) | 0.557*** | — | ||||
corr(e.FL1,e.y1)∣ | –0.523** | — | ||||
corr(e.y3,e.y4) | — | –0.528* | ||||
corr(e.FL1,e.y4) | — | –0.350 | ||||
corr(e.FL1,e.y3) | — | –0.577*** | ||||
Sample number | 530 |
Formula (5) represents the estimation result of the financial literacy on the formal credit demand. As can be seen from Table 5, the effect of financial literacy on the formal credit demand is positive and remarkable at the significance level of 1%. As respects the control variable, the householder gender has a prominent positive effect; this is evidenced by the fact that compared with the female householder, the male householder has a more remarkable demand on the credit. This observation can possibly be attributed to the fact that in the common rural family, the male generally is the economic kingpin. In order to promote the living conditions and level-up the family income, his demand on credit will be enhanced. Formula (8) represents the financial literacy’s estimation result on the informal credit demand. Compared with Formula (5), both of them have the same effect on the financial literacy variable and the householder gender variable. For the rural households under informal credit constraint, the risk attitude has a prominent negative effect on its credit demand, and the rural household preferring risks has a credit demand smaller than that of the rural household avoiding risks.
As can be seen from Formula (4), the financial knowledge bears an obvious negative effect on the formal credit constraint, indicating that the higher the rural household’s knowledge level, the smaller the formal credit constraint will be. The reasons may be as follows: On the one hand, under the situation that the rural household does not possess a good understanding of the loan products, procedures and policies of the financial organisation, it arrives at the misunderstanding that there is no possibility of obtaining the loan and then gives up the application [26]; on the other hand, in case that the rural household gets a better understanding of the credit policies, its formal credit demand will be enhanced and the formal credit constraint will be reduced [27]. Besides, the higher the householder’s education background, the more his knowledge of finance, security and investment; accordingly, the better he understands the loan policies of the financial organisation, the more reduced would the possibility be of his facing a credit constraint. When the family size is perceptibly positive in the confidence coefficient of 10%, it is consistent as expected. The family size reflects the family dependency coefficient; accordingly, the smaller the family size, the lesser the number of elder persons and children will be; therefore, the smaller the family dependency coefficient, the greater the limitation will be in the rate of being constrained by formal credit. The yearly family social interaction expenditure under the confidence coefficient of 5% has passed the significance test, and the social interaction reflects the rural household’s social relationship. The more the social expenditure, the better the rural household’s interpersonal relationship will be, and the more the reduction will be in the rate of credit constraints faced by rural households. The farther the distance to the financial branch, the less willing the rural household going to the financial organisation or branch will be, and therefore, the lower would the credit constraint be.
Formula (7) represents the analysis result of the effect of financial literacy on the informal credit constraint. It is shown that the financial knowledge has a positive impact on the informal credit constraint and such an effect is not prominent, which is inconsistent with the expectation of this thesis. As regards the aspect of control variable, a variety of variables such as the rural household’s gender, nationality and family size all are not prominent at the significance level of 5% or even 10%. The reason for such a phenomenon might be the fact that informal credit means the rural household borrows money from non-financial institutions, such as civil organisations, family members and friends; however, in reality, there is a situation that even a rural household bears a certain degree of financial knowledge, and its family members or friends are not willing to remain in touch owing to its bad reputation, resulting in an informal credit constraint and a phenomenon that the core variable (financial literacy) is not prominent in the informal credit constraint model.
Hence, the non-significant effect of financial knowledge on the rural household’s overall credit constraint might be the result of the impact of the informal credit constraint in the overall credit constraints. In the areas of a lower economic level, compared with the formal financial organisations, the rural households prefer to borrow money from their family, relatives and friends. Even though a rural household bears a higher level of financial literacy, it will be constrained by informal credit due to its bad reputation, resulting in the consequence of the estimation of the effect of financial literacy on the overall credit constraint not being prominent.
A regression will be carried out with the variable- the number of correctly answering the financial questions replacing Financial Literacy 1 (FL1). For details: correct for 0 time = 0, correct for once = 1, correct for twice = 2, correct for 3 times = 3. The regression result is shown as Table 6, basically consistent with that in Table 4.
Robustness test 1
FL2 | 0.194 | 0.906*** | −0.683** | 0.687*** | 0.443 | 0.789*** |
(0.091) | (0.078) | (0.276) | (0.251) | (0.291) | (0.198) | |
Sample number | 530 |
In order to exclude the effect of extreme values, this thesis will firstly sort out according to the family income, delete the data in the top 5% and the low-ranking 5%, and regress the rest of data. As shown in Table 7, under the significance level of 1%, the financial literacy has a positive effect on the overall credit demand and a negative impact on the formal credit constraint, indicating that the results of Table 4 are robust.
Robustness test 2
FL1 | 1.385 | 2.810*** | −2.232*** | 1.824* | 0.998 | 2.338*** |
(1.165) | (0.579) | (0.646) | (0.955) | (1.105) | (0.663) | |
Sample size | 476 |
According to the factor of whether the householder has attended the technical training, the thesis has divided the samples into two groups: Team with Technical Training and Team without Technical Training. As shown in Table 8, for the householder who has ever attended the technical training, the financial knowledge does not have a prominent effect on the overall credit constraint and formal credit constraint but does have a positive significance impact on the informal credit constraint at the level of 5%; for the rural household that has remained without attending the technical training, the financial literacy does not have a prominent influence on the overall credit constraint and the informal credit constraint but does have a negative significance effect on the formal credit constraint at the level of 10%.
Heterogeneity analysis 1
FL1 | 0.696 | −0.045 | 1.117** | 0.505 | −0.509* | 0.436 |
(0.793) | (0.353) | (0.538) | (0.341) | (0.265) | (0.310) | |
Sample size | 187 | 343 |
The reasons may be as follows: Commonly, the peasant attending technical trainings would have a higher income; his demand on credit would not be strong; as there is an enhancement in the financial knowledge level, the tendency to seek informal credit is lower, and therefore, it is easier for the peasant of a higher financial literacy level to be constrained by informal credit; for the rural household that has remained without attending the technical training and with relatively lower income, it would be easier for its members to conduct themselves according to norms of credit-worthy behaviour. As the financial literacy level increases, such a rural household understands the procedures and conditions of formal credit better, and thus it is harder for it to be constrained by formal credit.
The thesis has divided groups according to the factor of whether the householder prefers risk. As shown in Table 9, for the rural household preferring risks, the financial literacy does not have a prominent effect on overall credit constraint and formal credit constraint but has a positive impact on the informal credit constraint at the level of 10%; for the rural household without risk preference, the financial literacy does not have a remarkable impact on the formal credit constraint but has a positive effect on overall credit constraint and informal credit constraint at the levels of 10% and 5%. Besides, compared with the group without risk preference, the financial literacy of the risk preference group has a weaker impact on the informal credit constraint.
Heterogeneity analysis 2
FL1 | 0.580 | −0.406 | 0.579* | 1.152* | −0.485 | 1.071** |
(0.357) | (0.280) | (0.326) | (0.589) | (0.355) | (0.457) | |
Sample size | 310 | 220 |
The reasons may be the following: the rural household with risk preference, compared with the one without risk preference, bears a stronger wish for expanding the production scale and enjoys a higher income that increases concomitantly with the levelling-up of financial literacy; therefore, compared with the rural household that does not prefer risks, its financial literacy has a relatively weaker positive effect on the informal credit constraint.
Since the preamble has analysed the effect of financial literacy on the rural household’s credit constraint, the analysis result has shown that the financial literacy could effectively ease the rural household’s credit constraint. As the marketisation develops, the rural household income increases and the formal finance grows, how will the influence of financial literacy on the rural household credit constraint change? This latter part of the thesis will emphasise on the study on this issue.
To probe into the changing effects of financial literacy on the rural household credit constraint in the marketisation progress (the restaurant consumption expenditure of the peasant household in the overall food expenditure in 2015 has been used to make the measurement), the thesis has introduced the interaction terms of financial literacy and peasant household marketisation degree, with detailed results shown in Table 10.
Extending study 1
FL1 | 1.395* | 0.772 | −2.905*** | 0.709 | 2.513*** | 0.884 |
mark | 1.354 | 1.060 | −1.303* | 0.711 | 1.695** | 0.767 |
mark*FL1 | −0.657 | 1.631 | 1.409* | 0.981 | −1.224 | 1.106 |
Sample size | 531 |
As shown in Table 10, at the level of 10%, the easing effect of financial literacy on the formal credit constraint will be perceptibly weaker as the marketisation progresses; besides, the influence of financial literacy on the overall credit constraint and informal credit constraint will decline slightly as the marketisation develops. This indicates that the rural household with a higher financial literacy level bears an highly evident declining advantage in financing through formal financial channels and a slightly declining disadvantage in financing through informal financial channels.
To explore the effect of financial literacy on the rural household credit constraint in the increasing progress of peasant income, the thesis has introduced the interaction terms of financial literacy and rural household family net income, as shown in Table 11.
Extending study 2
FL1 | 10.380*** | 3.807 | −2.712 | 2.739 | 12.780*** | 3.193 |
income | 0.238 | 0.276 | 0.067 | 0.197 | 0.320 | 0.238 |
income*FL1 | −0.820** | 0.382 | 0.058 | 0.255 | −1.079*** | 0.329 |
Sample size | 531 |
As shown in Table 11, the enhancing effect of financial literacy on the overall credit constraint and the informal credit constraint will get weaker as the rural household income increases, prominent at the levels of 5% and 1%; besides, the easing effect of financial knowledge on the formal credit constraint will be weaker as the rural household income grows, which is not remarkable. It is indicated that the rural household with a higher financial literacy level will have an highly evident declining disadvantage in financing through informal channels and a slightly declining advantage in financing through formal channels.
To explore the changes of the effect of financial literacy on the credit constraint of the rural household in the formal financial development progress (the median of the distance between the village and the nearest formal financial organisation or branch is used as the basis for computation), the thesis has introduced the interaction terms of financial literacy and formal financial development, as shown in Table 12.
Extending study 3
FL1 | 2.443* | 1.474 | −2.727** | 1.095 | 2.680** | 1.288 |
distance | 0.337 | 0.344 | 0.010 | 0.247 | 0.025 | 0.280 |
distance*FL1 | −0.303 | 0.507 | 0.343 | 0.355 | −0.581* | 0.405 |
Sample size | 531 |
As shown in Table 12, the enhancing effect of financial literacy on the informal credit constraint will be weaker as there is progress in formal financial development, which is prominent at the level of 10%; besides, the easing effect of the function of financial literacy on the formal credit constraint has been weaker as the formal financial development progresses; and, similarly, the enhancing effect of financial literacy on the overall credit constraint declines, which is also concomitant with the progress in the formal financial development; these patterns are not remarkable. It is shown that the rural household with a higher financial literacy level has a highly evident declining disadvantage in financing through informal financial channels and a slightly declining advantage in financing through formal financial channels.
Based on the investigation data obtained from the rural households in Shaanxi and Yunnan in 2015, on the premise of considering endogeneity and sample selectivity, the effects of financial literacy on the credit behaviours of the rural household have been studied. The empirical study has shown that the financial literacy bears a positive prominent effect on the overall credit demand, the formal credit demand and the informal credit demand. The promotion of financial literacy level will stimulate the rural household’s credit demand; in the meantime, the financial literacy has no significant effect on the overall credit constraint and the informal credit constraint has but a prominent negative effect on the formal credit constraint. This has indicated that the levelling-up of financial literacy is good for easing the formal credit constraint that the rural household is confronted with. Besides, the financial literacy has different influences on the credit constraint according to the answer to whether or not the rural household has attended the technical training, and whether or not risks are preferred.
The research result of this thesis bears a meaning that is expected to provide an enlightening insight for the policy-making function. Firstly, the levelling-up of financial literacy could stimulate the rural household’s credit demand, and it bears a significant meaning of improving the peasant income and promoting economic growth. Therefore, targeting the problematic phenomenon that the villages share, namely the weakness by way of lack of financial literacy, a variety of channels should be opened for financial literacy education to promote the overall financial literacy level of the rural households in China. Secondly, the promotion of financial literacy level could effectively restrain the formal credit constraint that the rural households face; therefore, when the financial organisations are expanding the financial business and reducing the financial service thresholds, they should make endeavours to correct the rural households’ cognitive bias on financial institutions and guide the rural households to use the financial services correctly and reasonably. In addition, the financial knowledge should be popularised and made simple and easy to understand. Owing to different genders, education backgrounds, risk attitudes and financial literacies, the various households are characterised by their projection of varying demands on the financial system, all of which, nonetheless, need a basic degree of financial literacy. Therefore, the popularisation of financial knowledge should be implemented in an effective and reasonable way, keeping in mind the requirements that apply for different people.
Questions 1 and 2 involved in the questionnaire
Question | Answers and options | |
---|---|---|
Q1 | In the recent 3 years, in case of loan demand and contact with the bank or credit cooperatives, which option fits your reality the most? | ① No need to borrow |
Q2 | In the recent 3 years, in case of loan demand and contact with family members, friends and neighbours, which option fits your reality the most? | ① No need to borrow |
Heterogeneity analysis 1
FL1 | 0.696 | −0.045 | 1.117** | 0.505 | −0.509* | 0.436 |
(0.793) | (0.353) | (0.538) | (0.341) | (0.265) | (0.310) | |
Sample size | 187 | 343 |
Correlation coefficient table
FL1 | 1 | ||||
Income | 0.2369 |
1 | |||
Social | 0.1421 |
0.3634 |
1 | ||
Saving | 0.2593 |
0.2116 |
0.2805 |
1 | |
Attitude | 0.3035 |
0.1126 |
−0.0207 | 0.1120 |
1 |
Variable definition and descriptive statistics
Credit constraint | d2 | Whether suffer from credit constraint during 2013–2015: yes = 1, no = 0 | 488 | 0.926 | 0.262 | 0 | 1 |
Credit demand | d1 | Whether have credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.921 | 0.270 | 0 | 1 |
Formal credit constraint | y2 | Whether suffer from formal credit constraint during 2013–2015: yes = 1, no = 0 | 472 | 0.646 | 0.479 | 0 | 1 |
Formal credit demand | y1 | Whether have formal credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.891 | 0.312 | 0 | 1 |
Informal credit constraint | y4 | Whether suffer from informal credit constraint during 2013–2015 | 436 | 0.833 | 0.374 | 0 | 1 |
Informal credit demand | y3 | Whether have informal credit demand during 2013–2015: yes = 1, no = 0 | 530 | 0.823 | 0.382 | 0 | 1 |
Financial Literacy 1 | FL1 | Set up six dummy variables according to the three questions (interest rate, currency inflation, and comparison between currency inflation and interest rate); each financial question will bring up two dummy variables; through the FA, get Financial Literacy 1’s score | 530 | 0.577 | 0.326 | 2.19e–07 | 1 |
Financial Literacy 2 | FL2 | Number of correctly answering the financial questions: correct for 0 = 0, correct for 1 = 1, correct for 2 = 2, correct for 3 = 3 | 530 | 1.349 | 1.014 | 0 | 3 |
Householder gender | genr | Household gender: male = 1, female = 0 | 530 | 0.891 | 0.312 | 0 | 1 |
Household’s education background | degree1 | Householder’s education background: didn’t attend primary school = 1, primary school = 2, middle school and junior college = 4, junior college and higher = 5 | 530 | 2.953 | 0.932 | 1 | 5 |
Householder’s age | age | Householder’s age in 2015; unit: years of age | 530 | 47.23 | 12.01 | 22 | 89 |
Risk attitude | attitude | Preferring risk = 1, not preferring risk = 0 | 530 | 0.585 | 0.493 | 0 | 1 |
Labour force proportion | labour | The proportion of family labour force in the overall number, unit:% | 530 | 0.570 | 0.227 | 0.143 | 1 |
Family size | family | Family size in 2015 | 530 | 4.345 | 1.572 | 1 | 13 |
Distance to financial organisations | dista | Distance to the nearest financial organisation, take the logarithm; unit: kilometre | 530 | 1.256 | 0.628 | 0 | 3.434 |
Family yearly income | income | Total family income in 2015, unit: 10,000 yuan | 530 | 10.47 | 0.714 | 8.517 | 13.82 |
Social expenditure | social | Family’s social expenditure for interaction, unit: 1000 yuan | 530 | 6.200 | 3.131 | 0 | 10.82 |
Political identification | polic | Whether is party member: yes = 1, no = 0 | 530 | 0.168 | 0.374 | 0 | 1 |
Family deposit | saving | Whether the family has deposits in 2015, yes = 1, no = 0 | 530 | 0.579 | 0.494 | 0 | 1 |
Shaanxi | sx | Whether belongs to Shaanxi region, yes = 1, no = 0 | 530 | 0.449 | 0.498 | 0 | 1 |
Highest education background | degree2 | The highest education background of the family members: didn’t attend primary school = 1, primary school = 2, middle school = 3, junior school and junior college = 4, junior college and higher = 5; the instrumental variable of Financial Literacy 1 | 530 | 3.774 | 1.042 | 1 | 5 |
The village’s average Financial literacy level | average | The average value of the Financial Literacy 1 of the same village will be the instrumental variable of Financial Literacy 1 | 530 | 0.577 | 0.099 | 0.349 | 0.705 |
Technical training | train | Whether attended a technical training during 2013–2015: attended = 1, no = 0 | 530 | 0.353 | 0.478 | 0 | 1 |
Financial literacy and credit demand, credit constraint: formal and informal
FL1 | −2.131*** | 2.206*** | — | 1.491 | 2.558*** | — |
(0.795) | (0.798) | — | (0.971) | (0.581) | — | |
genr | −0.269 | 0.581*** | −0.015 | 0.116 | 0.405** | −0.014 |
(0.263) | (0.214) | (0.043) | (0.227) | (0.189) | (0.043) | |
degree1 | 0.146** | −0.079 | 0.022 | 0.063 | −0.008 | 0.019 |
(0.071) | (0.086) | (0.016) | (0.090) | (0.080) | (0.016) | |
age | −0.001 | −0.001 | −0.002* | 0.008 | 0.007 | −0.002* |
(0.006) | (0.007) | (0.001) | (0.007) | (0.006) | (0.001) | |
attitude | — | 0.090 | — | — | −0.431*** | — |
— | (0.146) | — | — | (0.137) | — | |
labour | 0.220 | −0.601* | 0.112* | −0.406 | −0.553* | 0.106* |
(0.334) | (0.339) | (0.064) | (0.351) | (0.291) | (0.064) | |
family | 0.094* | 0.098 | 0.008 | −0.074 | −0.001 | 0.007 |
(0.056) | (0.062) | (0.010) | (0.049) | (0.044) | (0.010) | |
dista | −0.199* | −0.090 | 0.018 | −0.087 | −0.043 | 0.018 |
(0.115) | (0.117) | (0.021) | (0.112) | (0.103) | (0.021) | |
income | 0.105 | −0.200 | 0.067*** | −0.275** | −0.119 | 0.066*** |
(0.115) | (0.125) | (0.021) | (0.124) | (0.107) | (0.020) | |
social | −0.058** | −0.016 | −0.003 | 0.022 | −0.046* | −0.004 |
(0.026) | (0.027) | (0.005) | (0.024) | (0.025) | (0.005) | |
polic | 0.110 | −0.098 | 0.014 | −0.330* | 0.096 | 0.012 |
(0.158) | (0.202) | (0.036) | (0.176) | (0.178) | (0.036) | |
saving | 0.074 | 0.097 | 0.095*** | −0.134 | −0.157 | 0.096*** |
(0.170) | (0.224) | (0.029) | (0.188) | (0.166) | (0.029) | |
sx | Controlled | |||||
average | — | — | 0.657*** | — | — | 0.649*** |
— | — | (0.144) | — | — | (0.143) | |
degree2 | — | — | 0.003 | — | — | 0.011 |
— | — | (0.013) | — | — | (0.012) | |
Constant | 0.340 | 1.739 | −0.608*** | 3.115*** | 0.848 | −0.603*** |
(1.016) | (1.158) | (0.223) | (1.146) | (1.002) | (0.223) | |
corr(e.y1,e.y2) | –0.353** | — | ||||
corr(e.FL1,e.y2) | 0.557*** | — | ||||
corr(e.FL1,e.y1)∣ | –0.523** | — | ||||
corr(e.y3,e.y4) | — | –0.528* | ||||
corr(e.FL1,e.y4) | — | –0.350 | ||||
corr(e.FL1,e.y3) | — | –0.577*** | ||||
Sample number | 530 |
Robustness test 1
FL2 | 0.194 | 0.906*** | −0.683** | 0.687*** | 0.443 | 0.789*** |
(0.091) | (0.078) | (0.276) | (0.251) | (0.291) | (0.198) | |
Sample number | 530 |
Extending study 3
FL1 | 2.443* | 1.474 | −2.727** | 1.095 | 2.680** | 1.288 |
distance | 0.337 | 0.344 | 0.010 | 0.247 | 0.025 | 0.280 |
distance*FL1 | −0.303 | 0.507 | 0.343 | 0.355 | −0.581* | 0.405 |
Sample size | 531 |
Heterogeneity analysis 2
FL1 | 0.580 | −0.406 | 0.579* | 1.152* | −0.485 | 1.071** |
(0.357) | (0.280) | (0.326) | (0.589) | (0.355) | (0.457) | |
Sample size | 310 | 220 |
Extending study 2
FL1 | 10.380*** | 3.807 | −2.712 | 2.739 | 12.780*** | 3.193 |
income | 0.238 | 0.276 | 0.067 | 0.197 | 0.320 | 0.238 |
income*FL1 | −0.820** | 0.382 | 0.058 | 0.255 | −1.079*** | 0.329 |
Sample size | 531 |
Robustness test 2
FL1 | 1.385 | 2.810*** | −2.232*** | 1.824* | 0.998 | 2.338*** |
(1.165) | (0.579) | (0.646) | (0.955) | (1.105) | (0.663) | |
Sample size | 476 |
Extending study 1
FL1 | 1.395* | 0.772 | −2.905*** | 0.709 | 2.513*** | 0.884 |
mark | 1.354 | 1.060 | −1.303* | 0.711 | 1.695** | 0.767 |
mark*FL1 | −0.657 | 1.631 | 1.409* | 0.981 | −1.224 | 1.106 |
Sample size | 531 |
Financial literacy, credit demand and credit constraint
FL1 | 1.699 | 2.964*** | — |
(1.059) | (0.441) | — | |
genr | −0.224 | 0.509** | −0.013 |
(0.330) | (0.212) | (0.043) | |
degree1 | 0.066 | −0.060 | 0.016 |
(0.112) | (0.082) | (0.016) | |
age | 0.012 | 0.006 | −0.002* |
(0.008) | (0.006) | (0.001) | |
attitude | — | -0.044 | — |
— | (0.126) | — | |
labour | −0.161 | −0.737** | 0.100 |
(0.444) | (0.321) | (0.064) | |
family | −0.018 | 0.044 | 0.006 |
(0.059) | (0.055) | (0.010) | |
dista | −0.266** | −0.065 | 0.017 |
(0.133) | (0.115) | (0.021) | |
income | −0.219 | −0.153 | 0.065*** |
(0.147) | (0.115) | (0.020) | |
social | −0.017 | −0.020 | −0.004 |
(0.030) | (0.026) | (0.005) | |
polic | −0.274 | −0.134 | 0.010 |
(0.215) | (0.185) | (0.036) | |
saving | −0.015 | −0.079 | 0.098*** |
(0.231) | (0.190) | (0.029) | |
sx | Controlled | ||
average | — | — | 0.608*** |
— | — | (0.148) | |
degree2 | — | — | 0.021* |
— | — | (0.012) | |
Constant | 2.776** | 0.908 | −0.585*** |
(1.392) | (1.110) | (0.223) | |
corr(e.d1,e.d2) | — | — | −0.241** |
corr(e.FL1,e.d2) | — | — | −0.384 |
corr(e.FL1,e.d1) | — | — | −0.749*** |
Law of interest rate changes in financial markets based on the differential equation model of liquidity Research and implementation of smart city public information mining analysis system based on mobile edge model of game theory Basalt fibre continuous reinforcement composite pavement reinforcement design based on finite element model Design of college education evaluation based on accompanying data acquisition and mathematical analysis Enterprise financial strategy and performance management analysis based on principal component analysis Study on the Dynamic Change of Regional Water Level and Climate Based on Forecast Equation Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix Municipal Civil Engineering Construction Based on Finite Element Differential Equations Financial Risk Prevention Model of Financial Institutions Based on Linear Partial Differential Equation Influence of heterogeneity of local officials on the economy of resource-based cities developed with high quality Analysis of influencing factors of SPOC course teaching effect using structural equation modelling Training Model of Basketball Offensive Route Based on Nonlinear Differential Equation Research on the construction of rural interface style based on aesthetic rules Optimization Algorithm of New Media Hot Event Push Based on Nonlinear Differential Equation Mathematical Differential Equation in Calculating the Strength of Building Beam Structure Impact Resistance Stability of Building Structural Engineering Based on Fractional Differential Equations The Technical Research on the Assessment of Network Security Situation Based on D-S Evidence Theory Computer big data modeling system based on finite element mathematical equation simulation Uniqueness of system integration scheme of artificial intelligence technology in fractional differential mathematical equation Uniqueness of system integration scheme of artificial intelligence technology in fractional differential mathematical equation The Composition System of Pop Music Movement Based on Finite Element Differential Equations The Structure and Influencing Factors of Innovation and Entrepreneurship Ability of Higher Vocational Students Based on Structural Equation Model Model System Study of Accordion Score Based on Fractional Differential Equations Data mining of Chain convenience stores location Parameter Id of Metal Hi-pressure State Equation P-Matrix Reasoning and Information Intelligent Mining Symmetry Analysis and Exact Solutions of Extended Kadomtsev-Petviashvili Equation in Fluids Research on Detection Model of Abnormal Data in Engineering Cost List Research on deformation monitoring of tunnel engineering based on 3D laser scanning Solidification treatment effect of wellsite waste mud based on physical adsorption of a composite curing agent A study of immersive technology for product usability improvement design based on comprehensive value evaluation Intelligent Recommendation System for English Vocabulary Learning – Based on Crowdsensing Application of Nonlinear Fractional Differential Equations in Computer Artificial Intelligence Algorithms Application of calculus function and value chain analysis method in the quantification of financial flexibility management indicators Optimal Research in Piano Shape Sound and Sound Propagation Model Based on Nonlinear Differential Equations Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations Badminton players’ trajectory under numerical calculation method Prediction of surface quality in end milling based on modified convolutional recurrent neural network Analysis of IPO pricing efficiency under the registration system Case application data research of traditional ink art elements in packaging design Research on an early warning model of effectiveness evaluation in ideological and political teaching based on big data Application of intelligent teaching resource organisation model and construction of performance evaluation model Secure transmission of simultaneous wireless information and power transfer system for Internet of things Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Numerical simulation of vortex vibration in main girder of cable-stayed bridge based on bidirectional fluid–structure coupling Research on location algorithm of new energy vehicle charging station based on multi-objective decision Optimisation of construction mode of residential houses based on the genetic algorithm under BIM technology A study on the reform of college English education inspired by the cultural differences between China and the United States Research on innovative strategies of college students’ English teaching under the blessing of big data Research on multi-dimensional optimisation design of user interface under Rhino/GH platform Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption Attitude control for the rigid spacecraft with the improved extended state observer A long command subsequence algorithm for manufacturing industry recommendation systems with similarity connection technology Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Evaluation of spoken English self-study system considering speech knowledge recognition algorithm Application research on piano teaching in colleges and universities based on remote wireless network communication Construction of Financial Risk Evaluation Index System for Biomass Graphene Fibre Industrialisation Project System dynamics model of output of ball mill Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Design of Morlet wavelet neural network to solve the non-linear influenza disease system An online statistical analysis of the hotel management and operation performance model Research on the post-purchase behaviour tendency of the product quality to customers in fast-selling marketing Motion about equilibrium points in the Jupiter-Europa system with oblateness Ultra-short-term power forecast of photovoltaic power station based on VMD–LSTM model optimised by SSA Optimal preview repetitive control for impulse-free continuous-time descriptor systems Design of information management system based on wireless communication under the background of Internet of Things The impact of global warming on the small Scottish Fishing Company Development of main functional modules for MVB and its application in rail transit Analysis of agricultural economic development and optimisation measures under the strategy of rural revitalisation Study on the impact of forest fire prevention policy on the health of forest resources Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Research on the relationship between government subsidies, R&D investment and high-quality development of manufacturing industry Research on the protection and inheritance of intangible cultural heritage under the background of rural revitalisation Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment Innovation of Economic Management Risk Control in Retailer Supply Chain Based on Differential Equation Model Computer vision recognition and tracking algorithm based on convolutional neural network A review of the treatment techniques of VOC Study on structural parameter design and life analysis of large four-point contact ball bearing channel Some classes of complete permutation polynomials in the form of ( x p m −x +δ )s +ax p m +bx overF p 2m Digital marketing solutions based on consumer data and homomorphic encryption The consistency method of linguistic information and other four preference information in group decision-making Statistical Model of College Ideological and Political Learning Based on Fractional Differential Equations Research on the driving principle and guiding strategy of the public's collaborative supervision of the sharing economy in my country Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development Nonlinear Differential Equation in Anti-aging Test of Polymer Nanomaterials Application research of bel canto performance based on artificial intelligence technology Fractal structure of magnetic island in tokamak plasma Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis The Mental Health Education Management of Higher Vocational Students Based on Fractional Differential Equations Application of regression function model based on panel data in financial risk management of bank resource allocation Application of knowledge graph in smart grid fault diagnosis University Ideological and Political Learning Model Based on Statistical Memory Curve Mathematical Equation Research on the optimisation of logistics parcel intelligent sorting and conveying chain combined with variable clustering mathematical method Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Research on Resonance Properties of Semantic Wave Fractal Fractals Based on Quantitative Analysis of English Corpus Research on urban landscape big data information processing system based on ordinary differential equations Modeling of fractional differential equation in cloud computing image fusion algorithm Application of Discriminative Training Algorithm Based on Intelligent Computing in English Translation Evaluation Research on the application of GLE teaching mode in English-medium colleges The application of directional derivative in the design of animation characters and background elements Research on product process design and optimisation model based on IoT intelligent computing Conventional Algorithms in Sports Training Based on Fractional Differential Equations Dynamic Nonlinear System Based on Complex System Theory in the Development of Vocational Education LTE wireless network coverage optimisation based on corrected propagation model The Algorithm Accuracy of Mathematical Model to Improve the Transmission Speed of E-commerce Platform Study on tourism development income index calculation of finite element ordinary differential mathematical equation The Security of Database Network Model Based on Fractional Differential Equations Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations The Practice System of Physics and Electronics Courses in Higher Vocational Colleges Based on Fractional Differential Equations The Economic Model of Rural Supply and Demand Under the Data Analysis Function Based on Ordered Probit 3D Modeling System of Indoor Environment Art Landscape Design under Statistical Equation Electronic Information Security Model of Nonlinear Differential Equations The Optimization Model of College Students' Physical Exercise Motivation and Self-control Ability Based on the Mathematical Model of Probability Theory Impact of ASEAN-China free trade area on fishery value chain based on difference-in-difference method Health monitoring of Bridges based on multifractal theory Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis Application and risk assessment of the energy performance contracting model in energy conservation of public buildings Sensitivity analysis of design parameters of envelope enclosure performance in the dry-hot and dry-cold areas Criminal law imputation path for biometric information Research on composite dynamic disaster prevention and control system of mine earthquake and shock in thick and hard rock mines Research on innovative strategies of college students’ English teaching under the background of artificial intelligence Electromagnetic interference prediction technology of new energy motor drive system Research on the application of PLC technology in electrical automation engineering Research on indoor environment design of comprehensive commercial shopping center based on numerical simulation Application of matrix multiplication in signal sensor image perception Empirical analysis of the economic absolute income hypothesis based on mathematical statistics Analysing the variation of metadiscourse verb patterns in English academic papers from within and between disciplines Impact of COVID-19 policy on stock prices of listed property companies Realization of Book Collaborative Filtering Personalized Recommendation System Based on Linear Regression Equation Research on the experimental principle of deep integration of LETS software and criminal procedure under the background of artificial intelligence Study on Interactive Relations between Enterprise Social Media and Decision Style Based on a vector Autoregressive Model Research on Dynamics of Flexible Multibody System with Deployable Antenna Based on Static Lagrangian Function The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations Study on spatial planning and design of learning commons in university libraries based on fuzzy matrix model The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations Construction and application of automobile user portrait based on k-mean clustering model The Homework Model of Screening English Teaching Courses Based on Fractional Differential Equations VR-based computer maintenance practical training platform development design and application research Research on innovative human capital for China’s economic development based on STI model In-depth analysis of the artistic expression of paper-cut elements in the design of boat space Knowledge graph construction and Internet of Things optimisation for power grid data knowledge extraction Modeling the pathway of breast cancer in the Middle East Construction and intelligent analysis of power grid physical data knowledge graph based on Internet of Things for power system Research on industrial Internet of Things and power grid technology application based on knowledge graph and data asset relationship model Research on the effects of financial literacy on rural household credit constraint Calculus Logic Function in Integrated Manufacturing Automation of Single Chip Microcomputer Football Offense Training Strategy Based on Fractional Differential Mathematical Modeling Research on educational resource recommendation system based on MRLG Rec The Mathematical Analysis Model of Educational System in Music Courses in Colleges and Universities Continuing Education Network Data Center Model Based on Fractional Differential Mathematical Equations A study on the phenomenon of anaphoric correction in college students’ English conversation Computer Art Design Model Based on Nonlinear Fractional Differential Equations The Optimization Model of Public Space Design Teaching Reform Based on Fractional Differential Equations The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation Graphical Modular Power Technology of Distribution Network Based on Machine Learning Statistical Mathematical Equation Employment and Professional Education Training System of College Graduates Based on the Law of Large Numbers Economic Research on Multiple Linear Regression in Fruit Market inspection and Management Nonlinear Differential Equations in Preventing Financial Risks Lagrange’s Mathematical Equations in the Sports Training of College Students Simulation Research of Electrostatic Precipitator Power Supply Voltage Control System Based on Finite Element Differential Equation Research on the effect of generative adversarial network based on wavelet transform hidden Markov model on face creation and classification Research on Lightweight Injection Molding (CAE) and Numerical Simulation Calculate of New Energy Vehicle Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations Demonstration of application program of logistics public information management platform based on fuzzy constrained programming mathematical model Basketball Shooting Rate Based on Multiple Regression Logical-Mathematical Algorithm The Optimal Application of Lagrangian Mathematical Equations in Computer Data Analysis Similarity Solutions of the Surface Waves Equation in (2+1) Dimensions and Bifurcation Optimal decisions and channel coordination of a green supply chain with marketing effort and fairness concerns Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand Limit cycles of a generalised Mathieu differential system Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Application of data mining in basketball statistics The nonlinear effects of ageing on national savings rate – An Empirical Study based on threshold model Design of fitness walker for the elderly based on ergonomic SAPAD model AtanK-A New SVM Kernel for Classification Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Study of a linear-physical-programming-based approach for web service selection under uncertain service quality The Relationship Between College Students’ Taekwondo Courses and College Health Based on Mathematical Statistics Equations Analysis and countermeasures of cultivating independent learning ability in colleges teaching English based on OBE theory A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells Fractional Differential Equations in the Exploration of Geological and Mineral Construction AdaBoost Algorithm in Trustworthy Network for Anomaly Intrusion Detection Projection of Early Warning Identification of Hazardous Sources of Gas Explosion Accidents in Coal Mines Based on NTM Deep Learning Network Burnout of front-line city administrative law-enforcing personnel in new urban development areas: An empirical research in China Enterprise Financial Risk Early Warning System Based on Structural Equation Model A Study on the Application of Quantile Regression Equation in Forecasting Financial Value at Risk in Financial Markets Fractional Differential Equations in the Model of Vocational Education and Teaching Practice Environment Information transmission simulation of Internet of things communication nodes under collision free probability equation Image denoising model based on improved fractional calculus mathematical equation Random Fourier Approximation of the Kernel Function in Programmable Networks The Complexity of Virtual Reality Technology in the Simulation and Modeling of Civil Mathematical Models University Library Lending System Model Based on Fractional Differential Equations Calculation and Performance Evaluation of Text Similarity Based on Strong Classification Features Intelligent Matching System of Clauses in International Investment Arbitration Cases Based on Big Data Statistical Model Evaluation and Verification of Patent Value Based on Combination Forecasting Model Financial Institution Prevention Financial Risk Monitoring System Under the Fusion of Partial Differential Equations Prediction and Analysis of ChiNext Stock Price Based on Linear and Non-linear Composite Model Calculus Logic Function in Tax Risk Avoidance in Different Stages of Enterprises The Psychological Memory Forgetting Model Based on the Analysis of Linear Differential Equations Optimization Simulation System of University Science Education Based on Finite Differential Equations The Law of Large Numbers in Children's Education Optimization System of Strength and Flexibility Training in Aerobics Course Based on Lagrangian Mathematical Equation Data structure simulation for the reform of the teaching process of university computer courses RETRACTION NOTE Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Research on non-linear visual matching model under inherent constraints of images Good congruences on weakly U-abundant semigroups Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Fed-UserPro: A user profile construction method based on federated learning A multi-factor Regression Equation-based Test of Fitness Maximal Aerobic Capacity in Athletes Design and evaluation of intelligent teaching system on basic movements in PE Garment Image Retrieval based on Grab Cut Auto Segmentation and Dominate Color Method Financial Risk Prediction and Analysis Based on Nonlinear Differential Equations Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Multiple Effects Analysis of Hangzhou Issuing Digital Consumer Coupons Based on Simultaneous Equations of CDM Model Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations Pressure Image Recognition of Lying Positions Based on Multi-feature value Regularized Extreme Learning Algorithm English Intelligent Question Answering System Based on elliptic fitting equation Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling Application Research of Mathematica Software in Calculus Teaching Computer Vision Communication Technology in Mathematical Modeling Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations Mathematical Statistics Technology in the Educational Grading System of Preschool Students Music Recommendation Index Evaluation Based on Logistic Distribution Fitting Transition Probability Function Children's Educational Curriculum Evaluation Management System in Mathematical Equation Model Query Translation Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching Research on evaluation system of cross-border E-commerce platform based on the combined model A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises Research on classification of e-commerce customers based on BP neural network The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Fractional Differential Equations in Electronic Information Models BIM Engineering Management Oriented to Curve Equation Model Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Study on the influence of adolescent smoking on physical training vital capacity in eastern coastal areas Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G ) on the set of maximal subgroups ofp -groupsResearch on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Evaluation and prediction of regional human capital based on optimised BP neural network Study on inefficient land use determination method for cities and towns from a city examination perspective A study of local smoothness-informed convolutional neural network models for image inpainting Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Computational Algorithm to Solve Two–Body Problem Using Power Series in Geocentric System Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training Nonlinear Channel Estimation for Internet of Vehicles Some Necessary Conditions for Feedback Functions of de Bruijn Sequences The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model An empirical research on economic growth from industrial structure optimisation in the Three Gorges Reservoir area The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Study of agricultural finance policy information extraction based on ELECTRA-BiLSTM-CRF Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Innovative research of vertical video creation under the background of mobile communication Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model Genetic algorithm-based congestion control optimisation for mobile data network