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## How Many Subjects Does It Take To Do A Regression Analysis.

In statistics , the one in ten rule is a rule of thumb for how many predictor parameters can be estimated from data when doing regression analysis in particular proportional hazards models in survival analysis and logistic regression while keeping the risk of overfitting low. The rule states that one predictive variable can be studied for every ten events. For example, if a sample of patients are studied and 20 patients die during the study so that patients survive , the one in ten rule implies that two pre-specified predictors can reliably be fitted to the total data. Similarly, if patients die during the study so that patients survive , ten pre-specified predictors can be fitted reliably. If more are fitted, the rule implies that overfitting is likely and the results will not predict well outside the training data. It is not uncommon to see the rule violated in fields with many variables e. More recently, a study has shown that the ratio of events per predictive variable is not a reliable statistic for estimating the minimum number of events for estimating a logistic prediction model.

### Assumptions of Multiple Linear Regression

Intellectus Statistics automatically includes the assumption tests and plots when conducting a regression. A rule of thumb for the sample size is that regression analysis requires at least 20 cases per independent variable in the analysis. First, multiple linear regression requires the relationship between the independent and dependent variables to be linear.

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