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Ch8 Regression Revby Rao

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Sumit Prajapati
Sumit Prajapati
TechnologyEconomy & Finance
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Medical Statistics (full English class) Shaoqi Rao, PhD School of Public Health Sun Yat-Sen University Slides adapted from Dr. Ji-Qian Fang’s
Chapter 8 Linear Regression
How does the value of one variable depend on that of another one? ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],8.1 Statistical Description of Linear Regression
[object Object],[object Object],[object Object],[object Object],[object Object]
What is regression in statistics? To find out the track of the means 100 120 140 160 180 200 220 100 120 140 160 180 200 220 Father’s height （ cm ） Son’s height (cm)
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
8.1.2 Regression coefficient and its calculation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 8.1 Calculate the regression equation of the height of son Y on the height of father X .
 
[object Object],[object Object],[object Object],[object Object],[object Object],8.2 Statistical Inference on Regression 8.2.1 Hypothesis tests
Statistic Standard deviation of regression coefficient Standard deviation of residual
For Example 8.1 p <0.001 . Reject ---- the regression of the son’s height on the father’s height is statistically significant. :  =0, :  ≠0
8.2.1.2 Analysis of variance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
For Example 8.1 ,[object Object],[object Object],[object Object],[object Object],[object Object]
8.2.2 Determination coefficient For Example 8.1 Determination coefficient: Contribution of regression by % ,[object Object],[object Object],[object Object]
In practice, it is suggested to report the value of determination coefficient after an analysis of regression to describe how good the regression is. ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
8.3.3 On the basic assumptions ---- LINE ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Summary Regression and Correlation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
 

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Ch8 Regression Revby Rao

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  • 2. Medical Statistics (full English class) Shaoqi Rao, PhD School of Public Health Sun Yat-Sen University Slides adapted from Dr. Ji-Qian Fang’s
  • 3. Chapter 8 Linear Regression
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  • 7. What is regression in statistics? To find out the track of the means 100 120 140 160 180 200 220 100 120 140 160 180 200 220 Father’s height （ cm ） Son’s height (cm)
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  • 11. Example 8.1 Calculate the regression equation of the height of son Y on the height of father X .
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  • 14. Statistic Standard deviation of regression coefficient Standard deviation of residual
  • 15. For Example 8.1 p <0.001 . Reject ---- the regression of the son’s height on the father’s height is statistically significant. :  =0, :  ≠0
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