By Ulf Grenander
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It is also possible to ﬁnd p-values based on the F-distribution. In the case of SLRM, inference drawn from the F-test and the t-test are equivalent, since F = t2; however, these tests are not equivalent in the case of multiple linear regression. 20) This coefﬁcient determines the percentage of variation of the variable Y explained by the model. 11 Pearson Correlation Coefﬁcient The Pearson correlation coefﬁcient is an index indicating the degree of linear association between two continuous random variables.
2012) Modern Epidemiology, 3rd edition. Philadelphia, PA: Lippincott Williams & Wilkins. , and Egger, M. (2007) STROBE Initiative. Strengthening the Reporting of Observational Studies in Epidemiology (STROBE): explanation and elaboration. Epidemiology, 18, 805–835. L. A. (2016) The ASA’s statement on p-values: context, process, and purpose. Am. , 70:(2), 129–133. 23 25 2 Introduction to Simple Linear Regression Models Aim: Upon completing this chapter, the reader should be able to apply simple linear regression models to evaluate relationships between a quantitative random variable and a quantitative variable in public health problems.
This idea obviously applies as well when performing other types of regression. Measurement error models account for the fact that explanatory variables are measured with error. 15 Concept of Causality of the quality of the data, a conservative move is to apply both traditional regression models and measurement error models to see if there are major differences in the results. For the rest of this book, we work with either data of good quality, or data that have already been screened and processed for quality unless otherwise stated.