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Published on: October 23, 2020
Selecting risk factors: a comparison of discriminant analysis, logistic regression and Cox's regression model using
Insights
Discriminant analysis is an efficient method for identifying risk factors for coronary heart disease mortality. It offers comparable results to logistic regression and Cox
Area of Science:
- Epidemiology
- Biostatistics
- Cardiovascular Disease Research
Background:
- Identifying risk factors for mortality is crucial in cardiovascular disease research.
- Various statistical models exist for risk factor selection, each with computational and analytical considerations.
Purpose of the Study:
- To comparatively evaluate discriminant analysis, logistic regression, and Cox's model for selecting risk factors of total and coronary deaths.
- To assess the efficiency and accuracy of these statistical methods in a large cohort study.
Main Methods:
- Comparative analysis of discriminant analysis, logistic regression, and Cox's model.
- Application of methods to a cohort of 6595 men aged 20-49 followed for 9 years.
- Evaluation of variable set selection, computational time, and coefficient estimation.
Main Results:
- Discriminant analysis, logistic regression, and Cox's model identified similar sets of risk factors.
- Discriminant analysis was significantly faster computationally, especially for large datasets.
- Non-stepwise analyses yielded nearly identical coefficient estimates across all methods.
Conclusions:
- Discriminant analysis is recommended for preliminary or stepwise risk factor selection due to its efficiency.
- Cox's model is suggested for non-stepwise analyses when computational time is less of a concern.
- The choice of method can impact computational efficiency without significantly compromising the identification of key risk factors.
Abstract:
For comparative evaluation, discriminant analysis, logistic regression and Cox's model were used to select risk factors for total and coronary deaths among 6595 men aged 20-49 followed for 9 years. Groups with mortality between 5 and 93 per 1000 were considered. Discriminant analysis selected variable sets only marginally different from the logistic and Cox methods which always selected the same sets. A time-saving option, offered for both the logistic and Cox selection, showed no advantage compared with discriminant analysis. Analysing more than 3800 subjects, the logistic and Cox methods consumed, respectively, 80 and 10 times more computer time than discriminant analysis. When including the same set of variables in non-stepwise analyses, all methods estimated coefficients that in most cases were almost identical. In conclusion, discriminant analysis is advocated for preliminary or stepwise analysis, otherwise Cox's method should be used.
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