# Hierarchical regression model

Then, the clustered data as the outputs are used to assign customers to churner and nonchurner groups by the second technique. The multiple linear regression analysis requires the assumptions to be independent of each other, and thus a different method is required to model data that is nested.

Therefore, a shorthand method for generating the models is displayed below. To develop the SOM, the map size is set by 2 2, 3 3, 4 4, 5 5, and 6 6, respectively, in order to obtain the highest rate of prediction accuracy. Two main tasks of data mining techniques are describing remarkable pattern or relationship in the data and also predicting a conceptual model which data followed.

Complete Hierarchical Linear Regression Example To see a complete example of how HLR can be conducted in R, please download the HLR example (.txt) file. The type I and II errors are equal to 21 and 12 cases of incorrectly predicted data. They can be measured by a confusion matrix shown in Table.

These techniques include artificial neural networks (ANNs) 7, Bayesian networks 6, 9, decision trees 15, 16, AdaBoosting 13, logistic regression 10, 11, 16, 17, random forest 10, 11, the proportional hazard model 5, and SVMs. Comparing Successive Models The anova(model1, model2, modeli) function can be used to compare the significance of each successive model. The first thought that comes to mind is that these two techniques are just two names for the same technique.

Instructor Keith McCormick covers simple linear regression, explaining how to build effective scatter plots and calculate and interpret regression coefficients. These different types of hierarchical regressions are particularly useful when we have very large number of potential predictor variables and want to determine (statistically) which variables have the most predictive power. The Root Mean Squared Error (rmse) and Mean Absolute Deviation (MAD) are calculated for comparing both models as follows: where are the survival probability of churned customer i and non-churned customer j, respectively; are the number of churned and nonchurned.

Then click the 'Next' button at the top of the 'Independent(s box. Moreover, it has been proven that considerable impact on incomes is occurred by small change in retention rate. Another reason for using the Cox regression model is our used data. Pre-Analysis Steps Before comparing regression models, we must have models to compare.

These effective factors are needed for companies to plan their long-term strategies for decreasing customer churn rate and above all, scheduling and adopting best marketing strategies based on when and why their customers like to break up their relationship because. Besides, because customer attrition will absolutely result in loss of incomes, customer churn management has received increasing attention in the whole marketing and management literature. The experimental results show that the hierarchical models outperform the single Cox regression baseline model in terms of prediction accuracy, types I and II errors, rmse, and MAD metrics. Evaluation Method To evaluate the proposed churn prediction models, prediction accuracy, and the Type I and II errors are considered.

Fuzzy clustering of an observation X into c clusters is characterized by c membership functions j as follows: Membership function is calculated based on the distance of observations from clusters center. Artificial Neural Network Classification is one of the commonly used data mining techniques categorizing as supervised learning techniques. Interesting readers are referred to 35 for more detail.

Most commonly, this examination entails the specification of a linear-like model for the log hazard. For future work, other prediction techniques can be applied, such as support vector machines, genetic algorithms, logistic regression, and so forth.

So in this study, each customer who has not churned till the end of the experiment is considered as a right censored data. Hierarchical linear regression (HLR) can be used to compare successive regression models and to determine the significance that each one has above and beyond the others. On the other hand, if we consider Hierarchical regression analysis, it is nothing but a way to deal with how the independent variables will be selected and entered into the model.

Therefore, building an effective customer churn prediction model, which provides an acceptable level of accuracy, has become a research problem for companies in recent years. The type I and II errors were equal to 87 and 41 cases of incorrectly predicted data.