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Credit scoring using data mining techniques.


Abstract

In its most simple form, credit scoring Credit scoring

A statistical technique that combines several financial characteristics to form a single score to represent a customer's creditworthiness.
 can be defined as a technique that helps credit providers decide whether to grant credit to customers. This paper discusses the benefits and applications of credit scoring and the construction of credit scoring models. It also reviews the data mining methodology and identifies potential data mining techniques that can be used to construct these models. Finally, the paper illustrates the use of data mining techniques to construct credit scoring models and highlights the prerequisites and limitations of the data mining approach.

Key words: Credit scoring; data mining; predictive modelling Predictive modelling is the process by which a model is created or chosen to try to best predict the probability of an outcome. In many cases the model is chosen on the basis of detection theory to try to guess the probability of a signal given a set amount of input data, for ; credit scoring models; decision trees.

**********

The last two decades have seen a rapid growth in both the availability and the use of consumer credit. Until recently, the decision to grant credit was based on human judgement to assess the risk of default. The growth in the demand for credit, however, has led to a rise in the use of more formal and objective methods (generally known as credit scoring) to help credit providers decide whether to grant credit to an applicant. This approach was first introduced in the 1940s and over the years had evolved and developed significantly. In recent years, the Years, The

the seven decades of Eleanor Pargiter’s life. [Br. Lit.: Benét, 1109]

See : Time
 progress in credit scoring was fuelled by increased competition in the financial industry, advances in computer technology, and the exponential growth Extremely fast growth. On a chart, the line curves up rather than being straight. Contrast with linear.  of large databases.

Since the mid-1990s, three new interrelated in·ter·re·late  
tr. & intr.v. in·ter·re·lat·ed, in·ter·re·lat·ing, in·ter·re·lates
To place in or come into mutual relationship.



in
 areas that emphasised obtaining more information from data have emerged strongly in information systems and information technology. They are data warehousing See data warehouse.

data warehousing - data warehouse
, knowledge management, and data mining, the last of which aims to identify valid, novel, potentially useful and understandable correlations and patterns in data (Chung and Gray, 1999). Coupled with advances in both computer hardware and software, many data mining applications are now more accessible and affordable to businesses than before.

This paper reviews the credit scoring and data mining literature and illustrates the use of data mining techniques in the construction of credit scoring models. The first section provides a formal definition of credit scoring, describes its usefulness and advantages, and lists some of its applications. It also discusses the construction of credit scoring models by looking at the methodology and techniques commonly used. The second section reviews the data mining literature and identifies data mining techniques that can be used to construct credit scoring models. The third section illustrates the use of data mining techniques to construct credit scoring models. Finally, the concluding section highlights the limitations of credit scoring as well as the prerequisites and limitations of the data mining approach to the construction of credit scoring models.

Credit Scoring

Credit scoring can be formally defined as a statistical (or quantitative) method that is used to predict the probability that a loan applicant or existing borrower will default or become delinquent delinquent 1) adj. not paid in full amount or on time. 2) n. short for an underage violator of the law as in juvenile delinquent.


DELINQUENT, civil law. He who has been guilty of some crime, offence or failure of duty.
 (Mester, 1997). The objective of credit scoring is to help credit providers quantify and manage the financial risk involved in providing credit so that they can make lending decisions quickly and more objectively. This section describes the development of Credit Scoring over the years.

In 1936, Fisher introduced the idea of discriminating dis·crim·i·nat·ing  
adj.
1.
a. Able to recognize or draw fine distinctions; perceptive.

b. Showing careful judgment or fine taste:
 between groups in a population (For example, between two species of iris by using measurements of the physical size of the plants). In 1941, Durand, who was working on a research project for the US National Bureau of Economic Research The National Bureau of Economic Research (NBER) is a "private, nonprofit, nonpartisan research organization" dedicated to studying the science and empirics of economics, especially the American economy. , realised that Fisher's discriminant dis·crim·i·nant  
n.
An expression used to distinguish or separate other expressions in a quantity or equation.
 analysis could be used to differentiate between good and bad loans. For many years, the decision to grant a loan had been done judgmentally by credit analysts. Because of a shortage of credit analysts during World War II, many organisations got the analysts to write down the rules they used to assess a loan applicant's credibility in repaying the loan (Johnson, 2004). Credit decisions were made with the help of these rules. After the war, people linked these two events together and began to see the advantages of using statistically derived models in the process of decision making for loan applications.

In the 1960s, with the creation of credit cards, banks and other credit card issuers realised the advantages of credit scoring. As the number of people applying for credit card increased, there was an urgency to automate the credit granting process. Organisations that used credit scoring also realised that the scores predicted default better than any judgmental judg·men·tal  
adj.
1. Of, relating to, or dependent on judgment: a judgmental error.

2. Inclined to make judgments, especially moral or personal ones:
 method (Myers, 1963). The scores also helped the organisations to reduce the delinquency delinquency

Criminal behaviour carried out by a juvenile. Young males make up the bulk of the delinquent population (about 80% in the U.S.) in all countries in which the behaviour is reported.
 rates. The Equal Credit Opportunity Acts that were passed in the US in 1975 and 1976 marked an important event as the Acts signified sig·ni·fied  
n. Linguistics
The concept that a signifier denotes.



[Translation of French signifié, past participle of signifier, to signify.]

Noun 1.
 the acceptance of credit scoring to facilitate lending decisions while safeguarding the interests of consumers to prevent incidence of unfairness.

In the 1980s, the success of credit scoring for credit cards prompted banks to use credit scoring for other purposes (for example, personal loan applications). The growth of direct marketing in the 1990s also led to the use of the credit scoring methodology to increase the response rate to advertising campaigns. In recent years, credit scoring has been used for home loans, small business loans and insurance applications and renewals. The focus has also shifted from the reduction of the delinquency rate of loan applicants to the increase of profit from customers (Thomas, 2000).

Benefits of Credit Scoring

Credit scoring has many benefits that accrue To increase; to augment; to come to by way of increase; to be added as an increase, profit, or damage. Acquired; falling due; made or executed; matured; occurred; received; vested; was created; was incurred.  not only to the lenders but also to the borrowers. For example, credit scores help to reduce discrimination because credit scoring models provide an objective analysis of a consumer's creditworthiness Creditworthiness

The condition in which the risk of default on a debt obligation by that entity is deemed low.


Creditworthiness

Eligibility of an individual or firm to borrow money.
. This enables credit providers to focus on only information that relate to credit risk and avoid the personal subjectivity of a credit analyst or an underwriter underwriter n. a company or person which/who underwrites an insurance policy, issue of corporate securities, business, or project. (See: underwrite)


UNDERWRITER, insurances. One who signs a policy of insurance, by which he becomes an insurer.
. In the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area. , under the Equal Credit Opportunity Act, variables of overt Public; open; manifest.

The term overt is used in Criminal Law in reference to conduct that moves more directly toward the commission of an offense than do acts of planning and preparation that may ultimately lead to such conduct.


OVERT. Open.
 discrimination such as race, sex, religion and age cannot be included in the credit scoring models. Only information that is non-discriminatory in nature and that has been proven to be predictive of payment performance can be included in the models.

Credit scoring also helps to increase the speed and consistency of the loan application process and allows the automation of the lending process. As such, it greatly reduces the need for human intervention on credit evaluation and the cost of delivering credit (Barefoot bare·foot   also bare·foot·ed
adv. & adj.
With nothing on the feet: walking barefoot in the grass; a barefoot boy.
, 1995). With the help of the credit scores, financial institutions are able to quantify the risks associated with granting credit to a particular applicant in a shorter time. Leonard's (1995) study of a Canadian bank found that the time for processing a consumer loan application was shortened from nine days to three days after credit scoring was used. The time saved in processing the loans can be used to address more complex issues. Banaslak and Kiely (2000) concluded that with the help of credit scores, financial institutions are able to make faster, better and higher quality decisions.

Further, credit scores can help financial institutions determine the interest rate that they should charge their consumers and to price portfolios (Avery et al, 2000). Higher risk consumers are charged a higher interest rate and vice versa VICE VERSA. On the contrary; on opposite sides. . Based on the consumer's credit scores, the financial institutions are also able to determine the credit limits to be set for the consumers (Sandler et al, 2000). These help financial institutions to manage their accounts more effectively and profitably. As an extension, profit scoring can be used to maximise profits across a range of products (Thomas, 2000).

Credit scoring models have enabled the development of the sub-prime lending industry where sub-prime consumers have poor credit records and fall short of credit acceptance and risk. They may not meet the requirements for traditional financing because of credit impairment Impairment

1. A reduction in a company's stated capital.

2. The total capital that is less than the par value of the company's capital stock.

Notes:
1. This is usually reduced because of poorly estimated losses or gains.

2.
, missing data in their credit histories or difficulty in validating their income (Quittner, 2003). One of the major factors in the progress of sub-prime lending has been automated underwriting Underwriting

1. The process by which investment bankers raise investment capital from investors on behalf of corporations and governments that are issuing securities (both equity and debt).

2. The process of issuing insurance policies.
, which allows sub-prime mortgage loans to be packaged and sold as investment securities. The initial success of specialised financial institutions in this market has driven more financial institutions to enter the sub-prime lending market, which is expected to grow as technology in credit scoring advances (Perin, 1998).

Finally, because of advances in technology, more intelligent credit scoring models are being developed. Consequently, credit cards issuers are able to make use of the information generated from the models to formulate better collection strategies and hence use their resources more effectively. Lucas (2000) reported that recovery rates averaged 15.9 per cent in 1999, up from 12.1 per cent in the previous year and 9.1 per cent in 1997. Further, the insurance industry has used credit scoring to streamline the insurance application and renewal process. In particular, credit scores help insurance companies to make a better prediction on claims and control risk more effectively. They also make pricing more accurate. This enables insurance companies to offer more insurance coverage to more consumers at a more equitable cost, react quickly to market changes and gain a competitive edge (Kellison and Brockett, 2003).

Credit Scoring Applications

In the early years, financial institutions used credit scoring mainly to make credit decisions for loan applications. Over the past 25 years, however, the application of credit scoring has grown from making credit decisions to making decisions related to housing, insurance, basic utility services, and even employment. However, not all these applications are equally widely used.

The most common use of credit scores is in making credit decisions for loan applications. In addition to decisions on personal loan applications, financial institutions now make use of credit scores to help set credit limits, manage existing accounts and forecast the profitability of consumers and customers (Punch, 2000). For example, the Australia and New Zealand Banking Group The Australia and New Zealand Banking Group Limited (Australia and New Zealand Banking Group Limited; ASX: ANZ, NZX: ANZ, NYSE: ANZ), commonly called ANZ, is the third largest bank in Australia, after the National Australia Bank and the Commonwealth Bank.  makes use of credit scoring to assist them to identify applicants who should receive credit, determine the amount of credit that the applicants should receive, and the steps that should be taken should there be a failure in the payment of loans (see www.sas.com/success/anzcredit.html). Also, credit card issuers use credit scores as a decision support tool to identify their target market for credit cards (Punch, 2000). In recent years, credit scores have also been used as part of the decision process for providing credit to small businesses (Rowland, 2003). For example, the Fleet Financial Group uses credit scoring for loans under US$100,000 (Zuckeman, 1996).

Credit scoring models have also been used in the insurance industry (for example, for mortgage and automobile insurance) to decide on the applications of new insurance policies and the renewals of existing polices. The premise is that there is a direct relationship between financial stability and risk. It has been argued that there is a strong relationship between credit rating and loss ratios in both automobile and mortgage insurance. Statistical evidence has also shown that relative loss ratios (which are a function of both claim frequency and cost) decrease as credit rating improves (Schiff, 2003). GE Capital Mortgage Corporation uses credit scoring to help them to screen mortgage insurance applications (Prakash, 1995). Credit scores are also used as a basis to adjust premiums. Generally, consumers with bad credit scores have a higher chance of filing insurance claims as compared to customers with good credit scores. Therefore, the former are charged a higher premium. Credit information is also used to assess a consumer's accountability and performance under the conditions of an insurance policy.

In addition to the above, other credit scoring applications have also been reported by the Consumer Federation of America The Consumer Federation of America (CFA) is a non-profit organization founded in 1968 to advance the consumer interest through research, education and advocacy.

According to CFA's website, its members are approximately 300 consumer-oriented non-profits, which themselves have
 in 2002. For example, landlords can make use of credit scores to determine whether potential tenants are likely to pay their rent on time. Some utility suppliers in the United States have also used credit scores to determine whether to provide their services to consumers. Finally, some employers make use of credit history and credit scores to decide whether to hire a potential employee, especially for posts where employees need to handle huge amounts of money. The implication is that employee trustworthiness trustworthiness Ethics A principle in which a person both deserves the trust of others and does not violate that trust  and hence personal character can be assessed through their credit scores.

Construction of Credit Scoring Models

The methodology of constructing credit scoring models generally involves the following process. First, a sample of previous customers is selected and classified as "good" and "bad" depending on their repayment performance over a given period (for simplicity, only a dichotomy di·chot·o·my  
n. pl. di·chot·o·mies
1. Division into two usually contradictory parts or opinions: "the dichotomy of the one and the many" Louis Auchincloss.
 is used here). Next, data are compiled from loan applications, personal and/or business credit records and various sources if available (for example, credit bureau reports). Finally, statistical or other quantitative analysis Quantitative Analysis

A security analysis that uses financial information derived from company annual reports and income statements to evaluate an investment decision.

Notes:
 is performed on the data to derive a credit scoring model. The model will comprise weights to apply to the different variables or attributes in the data and a cut-off cut-off Anesthesiology The point at which elongation of the carbon chain of the 1-alkanol family of anesthetics results in a precipitous drop in the anesthetic potential of these agents–eg, at > 12 carbons in length, there is little anesthetic activity,  point. The sum of the weights applied to the variables for an individual consumer or customer constitutes the credit score. The cut-off point determines if this consumer or customer should be classified as "good" or "bad". The probability associated with this classification can also be generated. It is noted that different models can be constructed for different segments of the data (for example, for different products).

To date, several techniques have been used in the construction of credit scoring models. The most common techniques used are traditional statistical methods. For example, some of the earliest credit scoring models developed used discriminant analysis. However, discriminant analysis requires rather restrictive statistical assumptions that are seldom satisfied in real life. Consequently, logistic regression In statistics, logistic regression is a regression model for binomially distributed response/dependent variables. It is useful for modeling the probability of an event occurring as a function of other factors. , which is less restrictive, has been proposed as an alternative to discriminant analysis. Some of the techniques that have been previously used, but rather infrequently in·fre·quent  
adj.
1. Not occurring regularly; occasional or rare: an infrequent guest.

2.
, to construct credit scoring models include genetic algorithm genetic algorithm - (GA) An evolutionary algorithm which generates each individual from some encoded form known as a "chromosome" or "genome". Chromosomes are combined or mutated to breed new individuals. , k-nearest neighbour, linear programming and expert systems.

In recent years, data mining techniques have been increasingly used to construct credit scoring models. In particular, the decision tree approach has become a popular technique for developing credit scoring models as the resulting decision trees are easily interpretable and visualisable. Further, neural networks neural network or neural computing, computer architecture modeled upon the human brain's interconnected system of neurons. Neural networks imitate the brain's ability to sort out patterns and learn from trial and error, discerning and extracting  are also commonly used. They techniques are discussed in detail below. Empirical studies Empirical studies in social sciences are when the research ends are based on evidence and not just theory. This is done to comply with the scientific method that asserts the objective discovery of knowledge based on verifiable facts of evidence.  on credit scoring models include (Lee and Jung, 1999/2000) and (West, 2000).

Data Mining

Data mining can be considered a relatively recently developed methodology and technology, coming into prominence only in 1994 (Trybula, 1997). It aims to identify valid, novel, potentially useful, and understandable correlations and patterns in data (Chung and Gray, 1999). Data mining can also be considered a process and a technology to detect the previously unknown in order to gain competitive advantage. In data mining, there is a strong emphasis on combing combing, process that follows carding in the preparation of fibers for spinning, lays the fibers parallel, and removes noils (short fibers). The modern combing machine is a specialized carding machine.  through copious co·pi·ous  
adj.
1. Yielding or containing plenty; affording ample supply: a copious harvest. See Synonyms at plentiful.

2.
 data sets to sniff out patterns that are too subtle or complex for humans to detect (Kreuze, 2001).

Data Mining Methodology

CRISP-DM (Cross-Industry Standard Process for Data Mining, see www.crisp-dm.org) proposes the following methodology for data mining: (1) business understanding, (2) data understanding and data preparation, (3) modelling, (4) evaluation, and (5) deployment. Business understanding is critical as it identifies the business objectives and hence the success criteria of data mining projects. Further, as the term "data mining" implies, data is a crucial component, that is, no data means no mining. Hence, CRISP-DM includes data understanding and data preparation (for example, sampling and data transformation) as an essential antecedent ANTECEDENT. Something that goes before. In the construction of laws, agreements, and the like, reference is always to be made to the last antecedent; ad proximun antecedens fiat relatio.  for modelling.

The modelling stage is the actual data analysis. Most data mining software include OLAP (OnLine Analytical Processing) Decision support software that allows the user to quickly analyze information that has been summarized into multidimensional views and hierarchies. OLAP tools are used to perform trend analysis on sales and financial information.  (on-line analytical processing (database) On-Line Analytical Processing - (OLAP) A category of database software which provides an interface such that users can transform or limit raw data according to user-defined or pre-defined functions, and quickly and interactively examine the results in various dimensions ), traditional statistical methods (for example, cluster analysis Cluster analysis

A statistical technique that identifies clusters of stocks whose returns are highly correlated within each cluster and relatively uncorrelated across clusters. Cluster analysis has identified groupings such as growth, cyclical, stable, and energy stocks.
, discriminant analysis and regression analysis In statistics, a mathematical method of modeling the relationships among three or more variables. It is used to predict the value of one variable given the values of the others. For example, a model might estimate sales based on age and gender. ) as well as non-traditional statistical analysis (such as neural networks, decision trees, link analysis and association analysis). This extensive range of techniques is not surprising given that data mining has been viewed as the offspring of three different disciplines, namely database management, statistics and computer science.

The evaluation stage allows the comparison of models and results from any data mining model by using a common yardstick (for example, lift charts, profit charts or diagnostic classification charts). Finally, deployment relates to the actual implementation and operationalisation of the data mining models.

For the purpose of this paper, one of the business objectives of data mining applications is credit scoring.

Data Mining Techniques

Data mining techniques can be broadly classified based on what they can do, namely: (1) description and visualisation (graphics) visualisation - Making a visible presentation of numerical data, particularly a graphical one. This might include anything from a simple X-Y graph of one dependent variable against one independent variable to a virtual reality which allows you to fly around the data. ; (2) association and clustering; and (3) classification and estimation (that is, prediction). Description and visualisation can contribute greatly towards understanding a data set, especially a large one, and detecting hidden patterns in data, especially complicated data containing complex and non-linear interactions. They are usually performed before modelling is attempted and represents data understanding in the CRISP-DM methodology.

In association, the objective is to determine which variables go together. For example, market basket analysis Market Basket Analysis (MBA) applies association rule learning to purchase data with the goal of identifying cross-selling opportunities. Given a data set, the algorithm trains and identifies product baskets and product association rules.  refers to a technique that generates probabilistic (probability) probabilistic - Relating to, or governed by, probability. The behaviour of a probabilistic system cannot be predicted exactly but the probability of certain behaviours is known. Such systems may be simulated using pseudorandom numbers.  statements such as: if customers purchase coffee, there is a 0.35 probability that they also purchase bread. Such information can be useful for store layout, items bundling, discount and promotion decisions ... etc. Market basket analysis can be applied not only to items purchased concurrently but also to items purchased sequentially. In clustering, the objective is to group objects in such a way that objects belonging to the same cluster are similar and objects belonging to different clusters are dissimilar. As an application, clustering can be used for market segmentation Market Segmentation

A marketing term referring to the aggregating of prospective buyers into groups (segments) that have common needs and will respond similarly to a marketing action.
 to group consumers and customers.

The most common and important applications in data mining probably involve prediction, sometimes referred to as modelling. Classification refers to the prediction of a target variable that is categorical That which is unqualified or unconditional.

A categorical imperative is a rule, command, or moral obligation that is absolutely and universally binding.

Categorical is also used to describe programs limited to or designed for certain classes of people.
 in nature (for example, predicting fraud versus non-fraud, high-risk versus low-risk or purchaser versus non-purchaser). Estimation, on the other hand, refers to the prediction of a target variable that is metric (interval) in nature (for example, predicting the amount spent, duration of a call or the account balance). To construct credit scoring models, predictive modelling techniques are the most relevant.

For predictive modelling, the data mining techniques include traditional statistics such as multiple discriminant analysis
For other uses of this acronym, see MDA


In statistics, multiple discriminant analysis (LDA) is a generalization of linear discriminant analysis. External links
  • Definition at statistics.com
 and logistic regression analysis. More importantly, data mining techniques also include non-traditional methods developed in the areas of artificial intelligence and machine learning. The two most important models of these are neural networks and decision trees. As traditional statistics are not new and can be found in standard texts in the area, they are not discussed here. Instead, the following paragraphs discuss neural networks and decision trees. More details can be found in Berry containing ova or spawn.

See also: Berry
 and Linoff (1997).

Neural networks are useful for recognising patterns in the data, especially when the form of relationships between the target (for example, credit risk) and input variables (for example, demographic characteristics) is unknown and/or complex. They are modelled after the human brain, which can be perceived as a highly connected network of neurons Neurons
Nerve cells in the brain, brain stem, and spinal cord that connect the nervous system and the muscles.

Mentioned in: Speech Disorders
 or nodes. Each node in a layer of nodes receives inputs from at least one node in a previous layer and combines the inputs and generates an output to at least one node in the next layer. Generally, the input variables comprise the input layer and the target variable comprises the output layer. Between the input and output layers, there may be one or more hidden layers of nodes.

Each node performs a computation to combine the inputs and a transformation to generate an output. Each connection between two nodes has a weight that determines how the input from a prior node is to be combined with other inputs to generate an output to be received by the next node. The final neural network model comprising the final weights is derived by training the network to derive optimal weights such that the outputs (for example, credit score) of the neural network is as close as possible to the desired outputs (for example, actual credit risk) for the consumers/customers in the sample.

The objective of decision trees is prediction and/or classification by dividing observations into mutually exclusive Adj. 1. mutually exclusive - unable to be both true at the same time
contradictory

incompatible - not compatible; "incompatible personalities"; "incompatible colors"
 and collectively exhaustive subgroups. The division is based on the levels of particular input variables (for example, demographic characteristics) that have the strongest association with the target variable (for example, credit risk). In its basic form, the decision tree approach begins by searching for the input variable that divides the sample in such a way that the difference with respect to the target variable is greatest among the divided subgroups. At the next stage, each subgroup sub·group  
n.
1. A distinct group within a group; a subdivision of a group.

2. A subordinate group.

3. Mathematics A group that is a subset of a group.

tr.v.
 is further divided into sub-subgroups by searching for the input variable that divides the subgroup in such a way that the difference with respect to the target variable is greatest among the divided sub-subgroups. The input variable selected need not be the same for each subgroup. This process of division or splitting usually continues until either no further splitting can produce statistically significant differences in the target variable in the new subgroups or the subgroups are too small for any further meaningful division. The subgroups and sub-subgroups are usually referred to as nodes. The end product can be graphically represented by a tree-like structure. More information on decision trees can be found in Lehmann et al (1998).

Using Data Mining Techniques for Credit Scoring

To illustrate the use of data mining techniques for credit scoring, consider a credit card issuer who is interested to develop a credit scoring model to predict the credit risk of credit card applicants as bad loss, bad profit and good risk. The credit card issuer intends to deploy the model at the time the credit card applications are processed. Assume that all applicants provide the following information in the application form:

(1) age;

(2) annual income;

(3) gender;

(4) marital status marital status,
n the legal standing of a person in regard to his or her marriage state.
;

(5) number of children;

(6) number of other credit cards held; and

(7) whether the applicant has an outstanding mortgage loan.

Given the above, the target variable is credit risk and the input variables are the seven variables listed above from age to whether the applicant has an outstanding mortgage loan. Prior to developing this application, the credit card issuer has categorised Adj. 1. categorised - arranged into categories
categorized

classified - arranged into classes
 a representative sample comprising 4,117 one-year old credit card holders into three groups (that is, bad loss, bad profit and good risk). Also, as a routine practice, all information provided on the application form is captured electronically.

Construction of the credit scoring model requires predictive modelling to be done. For this purpose, three data mining techniques are appropriate; namely, logistic regression, neural network and decision tree. SPSS A statistical package from SPSS, Inc., Chicago (www.spss.com) that runs on PCs, most mainframes and minis and is used extensively in marketing research. It provides over 50 statistical processes, including regression analysis, correlation and analysis of variance.  Clementine Clementine

forty-niner’s drowned daughter; “lost and gone forever.” [Am. Music: Leach, 236]

See : Grief
 7.2 (a data mining software) is used in this illustration. The data mining diagram associated with the illustration is given in Figure 1. It can be noted that description and visualisation and predictive modelling are incorporated into the illustration. Further, association and clustering are not relevant for this credit scoring application. A snapshot (1) A saved copy of memory including the contents of all memory bytes, hardware registers and status indicators. It is periodically taken in order to restore the system in the event of failure.

(2) A saved copy of a file before it is updated.
 of the sample data is shown in Figure 2.

[FIGURES 1-2 OMITTED]

Description and Visualisation Results

As mentioned earlier, description and visualisation are useful for understanding the data and in the initial modelling stage to explore patterns, trends and relationships. Several description and visualisation tools are used in the illustration. Some of the results are summarised in Figure 3. For example, descriptive statistics descriptive statistics

see statistics.
 derived using the Statistics node in Clementine indicate that in the sample, the mean age is 31.82 years, mean annual income is $25,580 and mean number of children is 1.45 children (see left panel of Figure 3). In addition, 3,200 or 77.73 per cent of the credit card holders have an outstanding mortgage loan (see top central panel of Figure 3). Although not shown, it is noted that the mean number of other credit cards held is 2.43 cards, 2,077 or 50.45 per cent are female, and 2,089 or 50.74 per cent are married. As for the target variable credit risk, 906 (22.01 per cent) are bad loss, 2,407 (58.46 per cent) are bad profit, and 804 (19.53 per cent) are good risk. Such description aids in understanding the data (that is, credit card applicants and holders).

[FIGURE 3 OMITTED]

To visualise the data using the Plot and Histogram histogram
 or bar graph

Graph using vertical or horizontal bars whose lengths indicate quantities. Along with the pie chart, the histogram is the most common format for representing statistical data.
 nodes in Clementine, a plot of age and annual income and a histogram showing the number of other credit cards held are generated (see centre and central right panels of Figure 3 respectively). Note that the credit risk is overlaid o·ver·laid  
v.
Past tense and past participle of overlay1.
 in the diagrams to relate the visualisation to the target variable. An analysis of the results show that higher age and annual income as well as a lower number of other credit cards held are associated with a more favourable credit risk. Finally, a Web graph (via the Web node in Clementine) is drawn showing the links among gender, marital status, mortgage loan and credit risk (see bottom panel of Figure 3). Stronger relationships are shown by stronger lines. Links below a threshold level Noun 1. threshold level - the intensity level that is just barely perceptible
intensity, intensity level, strength - the amount of energy transmitted (as by acoustic or electromagnetic radiation); "he adjusted the intensity of the sound"; "they measured the
 as defined by the user are not included in the Web graph (for example, between good risk and marital status). The Web graph suggests that bad loss is moderately associated with having an outstanding mortgage loan and weakly weak·ly  
adj. weak·li·er, weak·li·est
Delicate in constitution; frail or sickly.

adv.
1. With little physical strength or force.

2. With little strength of character.
 associated with female and married credit card holders. As noted earlier, description and visualisation can be useful for modelling purposes.

Predictive Modelling Results

In this illustrative il·lus·tra·tive  
adj.
Acting or serving as an illustration.



il·lustra·tive·ly adv.

Adj. 1.
 credit scoring application using data mining techniques, predictive modelling is the most important analysis. In particular, logistic regression, neural network and decision tree can be used to construct the credit scoring model. Before performing predictive modelling, the sample data are partitioned par·ti·tion  
n.
1.
a. The act or process of dividing something into parts.

b. The state of being so divided.

2.
a.
 into a construction/training sample (about 75 per cent) and a validation/test sample (about 25 per cent). For simplicity, it is assumed that the overall accuracy rate is the primary performance indicator of the respective prediction models This article outlines the various propagation models currently used by the wireless industry for signal transmission at both 900 MHz and 1800 MHz. We start with the foundation of free-space transmission, followed by Picquenard’s multiple knife edge diffraction model. . That is, the overall accuracy rate is the criterion used to assess each model and to compare across models.

Figures 4 and 5 show portions of the logistic regression, neural network and decision tree results derived from the Logistic Regression, Neural Net neural network also neural net
n.
A real or virtual device, modeled after the human brain, in which several interconnected elements process information simultaneously, adapting and learning from past patterns.

Noun 1.
 and C5.0 (decision tree) nodes in Clementine. The logistic regression results indicate that the model is statistically significant (based on a 0.05 significance level). In addition, as shown in the bottom left panel of Figure 4, the following input variables are statistically significant in predicting credit risk: age, annual income, number of children, number of other credit cards held, marital status, and whether the applicant has an outstanding mortgage loan. Gender is not statistically significant. The detailed results of the model are summarised in the right panel of Figure 4. Finally, for the logistic regression model, the overall accuracy rate is 72.7 per cent. This is deemed sufficient for the purpose of this illustration.

[FIGURES 4-5 OMITTED]

Figure 5 (left panel) shows a relatively simple decision tree model with nine terminal nodes terminal node - leaf  (predicting bad loss, bad profit and good risk) and five important input variables: annual income, age, number of children, number of other credit cards held and marital status. A graphical representation of the decision tree model is given in Figure 6. As can be seen, the decision tree can be interpreted visually and also in terms of rules. For example, good risk credit card holders are likely to be those with annual income above $25,049 and not more than one child as well as those with annual income not more than $25,049 and who are above 39 years old and single. The overall accuracy for the decision tree model is 76.0 per cent, which is deemed sufficient for this illustration.

[FIGURE 6 OMITTED]

Finally, Figure 5 shows that the neural network model has nine neurons in the input layer, that is, four metric input variables, (age, annual income, number of children, and number of other credit cards held) and three nonmetric variables (gender, marital status, and mortgage loan) resulting in five dummy variables This article is not about "dummy variables" as that term is usually understood in mathematics. See free variables and bound variables.

In regression analysis, a dummy variable
, three neurons in the hidden layer, and three neurons in the output layer (bad loss, bad profit and good risk). In the neural network, the importance of the input variables in descending descending /des·cend·ing/ (de-send´ing) extending inferiorly.  order of importance are: annual income, number of other credit cards held, marital status, age, number of children, whether the applicant has an outstanding mortgage loan and gender. The overall accuracy rate of the neural network model is 76.6 per cent, which is deemed sufficient for the purpose of this illustration.

It can be noted from the results presented above that the neural network model is the most accurate. However, as the performance of the three models on the construction/training sample is upward biased since the same observations are used for model construction and model evaluation, it is important to assess the performance of the models on the validation/test sample.

The results can be summarised as follows: (1) logistic regression model: 71.1 per cent, (2) decision tree model: 74.2 per cent, and (3) neural network model: 73.4 per cent. Hence, predictions of the decision tree model are most accurate, followed by those of the neural network model and logistic regression model. Hence, based on the evaluation criterion, the decision tree model is the best prediction model and can be used for predicting credit risk of credit card applicants. It is also noted that a decision tree model is easy to interpret, as evidenced by the simple rules reflected in Figure 6.

Conclusion

In recent years, data mining has gained widespread attention and increasing popularity in the commercial world. Besides credit scoring, there are other potential data mining applications. For example, data mining can be used to: (1) perform churn churn: see butter.  modelling to identify customers who are likely to churn, (2) construct fraud detection models to give early warning signals of possible fraudulent transactions, (3) understand consumers and customers better, (4) segment customers, or (5) construct models to predict the probability of purchasing certain products or services in order to facilitate cross-selling or up-selling. The findings can then be used, say, to prepare mail catalogues, target advertisement and promotion campaigns. However, data mining is not without limitations.

Limitations of Data Mining

First, the quality of data mining results and applications depends on the availability and quality of data (Chopoorian et al, 2001). For example, to construct a credit scoring model, sufficient "good" and "bad" cases have to be available. In addition, for the available data, problems such as missing data, corrupted data, inconsistent data, have to be resolved before data mining is done. It has been estimated that data preparation comprises about 75 per cent of a data mining project.

Second, a sufficiently exhaustive mining of data will certainly throw up patterns of some kind that are a product of random fluctuations (Hand, 1998). This is especially so for large data sets with many variables. Hence, many interesting and/or significant patterns and relationships found in data mining may not be useful. Further, from a statistical perspective, while data mining is well developed for modelling, it is not as well developed for effect assessment. Murray (1997) and Hand (1998) have warned against using data mining for data dredging Data dredging (data fishing, data snooping) is the inappropriate (sometimes deliberately so) search for 'statistically significant' relationships in large quantities of data.  or fishing (randomly trawling For fishing by dragging a baited line after a boat, see .

Trawling is a method of fishing that involves actively pulling a fishing net through the water behind one or more boats, called trawlers.
 through data in the hope of identifying patterns) because of the statistical problems involved.

Third, successful application of data mining requires the user to be knowledgeable in the domain area of application as well as in the data mining methodology and tools. Without a sufficient knowledge of data mining, the user may not be aware of or be able to avoid the pitfalls of data mining, see, for example, McQueen and Thorley (1999). Collectively, the data mining team should possess the following: domain knowledge, statistical and research expertise, and IT and data mining knowledge and skills.

Finally, businesses developing data mining applications also need to make a substantial investment of their resources in data mining. It should be borne in mind that data mining projects can fail for a variety of reasons (for example, lack of management support, unrealistic user expectations, poor project management, inadequate data mining expertise).

Limitations of Credit Scoring

In this concluding section, it is appropriate to discuss the limitations of credit scoring. One of the major problems that can arise when constructing a credit scoring model is that the model may be built using a biased sample A biased sample is a statistical sample of a population where some members of the population are less likely to be included than others. An extreme form of biased sampling occurs when certain members of the population are totally excluded from the sample (that is, they have zero  of consumers and customers who have been granted credit (Hand, 2001). This may occur because applicants who are rejected will not be included in the data for constructing the model since there is no opportunity to ascertain their credit worthiness. Hence, the sample will be biased as good customers are too heavily represented. The credit scoring model built using this sample will generally not perform well on the entire population since the data used to build the model is different from the data that the model will be applied to.

The second problem that can arise when building credit scoring models is the change of patterns over time. The key assumption for any predictive modelling is that the past can predict the future (Berry and Linoff, 2000). In credit scoring, this means that the characteristics of past applicants who are subsequently classified as "good" or "bad" creditors can be used to predict the credit status of new applicants. Sometimes, the tendency for the distribution of the characteristics to change over time is so fast that it requires constant refreshing of the credits scoring model to stay relevant.

Another problem that is prevalent in predictive modelling is the omission omission n. 1) failure to perform an act agreed to, where there is a duty to an individual or the public to act (including omitting to take care) or is required by law. Such an omission may give rise to a lawsuit in the same way as a negligent or improper act.  of important variables or attributes in the model (Avery et al, 2000). Credit scoring models utilise primarily information about an individual's payment and credit history. This may not be complete to assess one's creditworthiness. In the illustrative credit scoring model, an applicant's credit rating is predicted as "bad" if his attributes are similar to observable ob·serv·a·ble  
adj.
1. Possible to observe: observable phenomena; an observable change in demeanor. See Synonyms at noticeable.

2.
 characteristics of "bad" customers. However, credit default may be driven by unobservable (that is, unmeasured) characteristics such as employment status and current economic status. Further, the accuracy of the credit scores depends critically on the data used to construct the model and the data to which the constructed model is applied. Also, the prevalence of errors in the credit reports could put both consumers on the losing end and credit providers at financial risk (Collins, 2003).

Related to the above, the use of credit scoring requires an individual to have sufficient credit history and activity before his scores can be calculated. Hence, lenders who have new applicants who have yet accumulated any credit activity may not be able to use credit scoring to assess their credit worthiness. There have been reported instances where new applications for insurance are denied outright (Eldred, 2002).

One of the consequences of credit scoring is the possibility that end-users become so reliant on the technology that they reduce the need for prudent judgement and exercise their knowledge on special cases. In other instances, end-users unintentionally apply more resources than necessary to work the entire portfolio. This could run into the risk of a self-fulfilling prophecy self-fulfilling prophecy, a concept developed by Robert K. Merton to explain how a belief or expectation, whether correct or not, affects the outcome of a situation or the way a person (or group) will behave.  (Lucas, 2002). In the United States, a new industry has emerged that is dedicated to help borrowers improve scores by rearranging finances (Timmons, 2002), rather than obeying the simple rule: pay your bills on time and keep your debt low. Such score-polishing actions could potentially distort the patterns of credit default.

Finally, in insurance critics have alleged that credit information can be misused, and has become the sole determinant determinant, a polynomial expression that is inherent in the entries of a square matrix. The size n of the square matrix, as determined from the number of entries in any row or column, is called the order of the determinant.  in some cases and may be a substitute for race and income data that cannot be used to set insurance rates. However, this is inevitable as there exist other attributes in the credit information that are highly correlated cor·re·late  
v. cor·re·lat·ed, cor·re·lat·ing, cor·re·lates

v.tr.
1. To put or bring into causal, complementary, parallel, or reciprocal relation.

2.
 with race and income. In credit scoring, consumers have complained that the credit scores are discriminating. In general, minorities have lower credit scores than white applicants. Scoring industry representatives say that this is because factors that affect a borrower's ability to meet financial obligations such as income, property, education and employment are not equally distributed by race or national origin in the United States (Wasserman, 2000). There exist certain relationships between the observable and the unobservable attributes.

Despite the limitations highlighted above, there is no doubt that credit scoring will continue to be a major tool in predicting credit risk in consumer lending Consumer lending or consumer loans refers to any type of loan product that is not a mortgage; such as a car, boat, manufactured home, home equity loan, home equity line of credit, signature loan, signature line of credit, recreational vehicle, or Certificate of Deposit loans. . It is envisaged that organisations using credit scoring appropriately will gain important strategic advantage and competitive edge over its rivals.
Figure 4: Logistic Regression Results

Model Fitting Information

                  -2 Log
Model            Likelihood   Chi-Square   df    Sig

Intercept Only   5888.387        --        --    --
Final            4324.927     1563.460     16    .000

Likelihood Ratio Tests

Effect      Chi-Square   df   Sig

Intercept        .00     0     --
AGE           181.664    2    .000
INCOME        220.006    2    .000
NUMKIDS        23.519    2    .000
NUMCARDS      103.848    2    .000
GENDER           .041    2    .980
MARITAL       226.347    4    .000
MORTGAGE        9.881    2    .007

             Risk                      B       Wald    df   Sig

Bad Loss     Intercept               -.370     1.027   1    .311
             AGE                      .006      .341   1    .559
             INCOME                   .000    73.369   1    .000
             NUMKIDS                  .460    21.467   1    .000
             NUMCARDS                 .730    78.920   1    .000
             [GENDER=f]              -.005      .001   1    .972
             [MARITAL=divsepwid]    -2.936    49.203   1    .000
             [MARITAL=married]       1.141    24.282   1    .000
             [MORTGAGE=n]             .303     2.547   1    .111

Bad Profit   Intercept               6.073   372.297   1    .000
             AGE                      .085    85.881   1    .000
             INCOME                   .000   185.130   1    .000
             NUMKIDS                  .193     4.430   1    .004
             NUMCARDS                 .199     8.364   1    .035
             [GENDER=f]               .015      .018   1    .892
             [MARITAL=divsepwid]     -.700     3.303   1    .069
             [MARITAL=married]        .724    16.081   1    .000
             [MORTGAGE=n]             .506     9.412   1    .002

Note: The reference groups are GENDER = m, MARITAL = single and
MORTGAGE =y.


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Koh Hian Chye

Nanyang Business School

Nanyang Technological University Nanyang Technological University (Abbreviation: NTU) is a major research university in Singapore. The University's garden campus, known as the Yunnan Garden campus is in the southwestern part of Singapore.  

Tan Wei Chin

Goh Chwee Peng

National Computer Systems Pte Ltd PTE LTD Private Limited  
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