Lecture 5 Hypothesis Testing in Multiple Linear Regression
Lecture 5Hypothesis Testing in Multiple LinearRegressionBIOST 515January 20, 20041Types of tests Overall test Test for addition of a single variable Test for addition of a group of variables2Overall testyi= 0+xi1 1+ +xip p+ iDoes theentireset of independent variables contributesignificantly to the prediction ofy?3Test 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+ i4Test 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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