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8 Classical Regression Models for Competing Risks Jan Batsman Freiburg University Medical Center and Ulm University Thomas H. Schalke University of CopenhagenCONTENTS 8.1 8.28.3 8.4 8.58.6 8.7 8.8 8.9 8.108.1Introduction.
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How to fill out classical regression models:

01
Identify the dependent variable: Start by determining the variable you want to predict or explain. This variable is also called the dependent variable. It should be clearly defined and measurable.
02
Select independent variables: Choose the variables that may impact the dependent variable. These variables are known as independent variables. They should be relevant and have a plausible causal relationship with the dependent variable.
03
Collect data: Gather data for both the dependent and independent variables. This could involve conducting surveys, collecting historical data, or accessing existing datasets. Ensure that the data is accurate, reliable, and representative of the population or phenomenon of interest.
04
Clean and preprocess the data: Inspect the data for any errors, inconsistencies, or missing values. Address these issues through data cleaning techniques such as imputation or removal. Additionally, preprocess the data by performing transformations, scaling, or encoding categorical variables as necessary.
05
Split the data into training and testing sets: Divide the dataset into two parts - one for training the regression model and the other for evaluating its performance. The training set is used to build the model, while the testing set is used to assess its predictive capability. Typically, a common split is around 70-80% for training and 20-30% for testing.
06
Choose the appropriate regression model: Select the classical regression model that best suits your data and research objectives. Common options include linear regression, multiple regression, polynomial regression, and logistic regression, among others. Consider factors such as linearity assumptions, multicollinearity, and model complexity.
07
Estimate the parameters: Use statistical techniques to estimate the parameters of the regression model. For example, in linear regression, this usually involves minimizing the sum of squared residuals using ordinary least squares (OLS) estimation. The estimated coefficients represent the relationship between the independent variables and the dependent variable.
08
Assess model performance: Evaluate the goodness-of-fit and predictive accuracy of the regression model. Common metrics include R-squared, adjusted R-squared, root mean squared error (RMSE), and mean absolute error (MAE). These metrics provide insights into how well the model fits the data and how well it generalizes to new observations.

Who needs classical regression models:

01
Researchers and statisticians: Classical regression models are widely used in various fields of research, such as social sciences, economics, psychology, and environmental studies. Researchers rely on these models to analyze and understand the relationships between variables, make predictions, and test hypotheses.
02
Data analysts and data scientists: Classical regression models are a fundamental tool in the arsenal of data analysts and data scientists. They use regression to uncover patterns, explore relationships, and build predictive models. Regression analysis helps them extract insights, make data-driven decisions, and solve complex business problems.
03
Policy makers and decision-makers: Classical regression models provide a quantitative framework for policy makers and decision-makers to understand the impact of different factors on outcomes of interest. By utilizing regression models, they can evaluate the effectiveness of interventions, allocate resources efficiently, and inform future planning and policy decisions.
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Classical regression models are used to analyze the relationship between a dependent variable and one or more independent variables. They are commonly used for prediction and forecasting.
Researchers, statisticians, and data analysts may be required to use classical regression models for their work in various fields such as economics, social sciences, and business.
To fill out classical regression models, one must collect and organize data on the variables of interest, choose an appropriate regression model, estimate the model parameters, and interpret the results.
The purpose of classical regression models is to understand and quantify the relationship between variables, make predictions or forecasts, identify significant factors affecting the dependent variable, and test hypotheses.
Information such as the dependent variable, independent variables, model assumptions, estimates of parameters, measures of model fit, and significance of variables must be reported on classical regression models.
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