Transcription of Lecture 5 Hypothesis Testing in Multiple Linear Regression
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Lecture 5 Hypothesis Testing in Multiple Linear Regression
Lecture 5 Hypothesis Testing in Multiple LinearRegressionBIOST 515 January 20, 20041 Types of tests Overall test Test for addition of a single variable Test for addition of a group of variables2 Overall testyi= 0+xi1 1+ +xip p+ iDoes theentireset of independent variables contributesignificantly to the prediction ofy?3 Test for an addition of a single variableDoes the addition ofoneparticular variable of interest addsignificantly to the prediction ofyacheived by the otherindependent variables already in the model?yi= 0+xi1 1+ +xip p+ i4 Test for addition of a group of variablesDoes the addition of somegroupof independent variables ofinterest add significantly to the prediction ofyobtainedthrough other independent variables already in the model?
know this through hypothesis testing as confounders may not test significant but would still be necessary in the regression model). • Adding an unimportant predictor may increase the residual mean square thereby reducing the usefulness of the model.
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