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table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} table.MsoTableGrid {mso-style-name:"Table Grid"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-unhide:no; border:solid windowtext 1.0pt; mso-border-alt:solid windowtext .5pt; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-border-insideh:.5pt solid windowtext; mso-border-insidev:.5pt solid windowtext; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:none; mso-layout-grid-align:none; text-autospace:none; font-size:10.0pt; font-family:"Times New Roman","serif";} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1026"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=EN-US link=blue vlink=blue style='tab-interval:.5in'> <div class=WordSection1> <p class=MsoNormal align=center style='text-align:center;tab-stops:0in .5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='font-size:14.0pt'>Lecture Notes<o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;tab-stops:0in .5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='font-size:14.0pt'>ECON 30331/Econometrics<o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;tab-stops:0in .5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='font-size:14.0pt'>Spring 2012<o:p></o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;tab-stops:0in .5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal align=center style='text-align:center;tab-stops:0in .5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo2; tab-stops:0in list .5in left 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b>Class introduction, moving from correlation to causation, Wednesday, January 18th:<span style='mso-spacerun:yes'>  </span>[<a href="moving_from_correlation_to_causation.pdf">Download</a> notes in PPT handout mode]<o:p></o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo2; tab-stops:0in list .5in left 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b>No class, Monday January 23rd<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.5in;tab-stops:0in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l1 level1 lfo2; tab-stops:0in list .5in left 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b>Chapter 2, The bivariate regression model, Wednesday, January 25<sup>th</sup><span style='mso-spacerun:yes'>  </span>through Wednesday, February 1st [<a href="Chapter_2.pdf">Download</a> PPT notes]<o:p></o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:1.0in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><a href="ols_estimates.pdf"><span class=GramE>Detailed derivations</span></a><span class=GramE>.</span><span style='mso-spacerun:yes'>  </span>This is a 15-page handout that includes all the important derivations I will do at the board for this chapter, the topics include:<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:1.0in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>Important properties of summations<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:1.0in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>Deriving the OLS estimates<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:1.0in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>Deriving the R-squares<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:1.0in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>OLS estimates are unbiased<o:p></o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:2'>                                                </span>The variance of OLS estimates<o:p></o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=msolistparagraph1 style='text-indent:-.25in;mso-list:l0 level1 lfo4; tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b>Chapter 3, The multivariate model, February 6/8<o:p></o:p></b></p> <p class=MsoNormalCxSpFirst style='margin-bottom:.75pt;mso-add-space:auto; tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                  </span>PPT notes, <a href="chapter_3.pdf">Chapter 3</a><o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><span style='mso-tab-count:1'>                  </span><b style='mso-bidi-font-weight: normal'><a href="multi_regression.pdf">Detailed derivations</a> for multivariate models<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><span style='mso-tab-count:2'>                                          </span>Deriving the estimates in multivariate models<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><span style='mso-tab-count:2'>                                          </span>Omitted variables bias in the multivariate model<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><span style='mso-tab-count:2'>                                          </span>The  <span class=SpellE>partialling</span> out property of multivariate models<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><span style='mso-tab-count:2'>                                          </span>A note on variances in multivariate models<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l2 level1 lfo5; tab-stops:0in list .5in 63.0pt left 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Chapter 4, Statistical inference, February 13/15<span style='mso-bidi-font-weight:bold'><o:p></o:p></span></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>PPT notes, Part 1:<span style='mso-spacerun:yes'>  </span><a href="chapter4.pdf">Inference about 1 parameter</a><o:p></o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><span style='mso-tab-count:1'>                        </span>PPT notes, Part 2:<span style='mso-spacerun:yes'>  </span><a href="Test%20of%20multiple%20parameters.pdf">Tests of multiple parameters</a><o:p></o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:.25in;tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b style='mso-bidi-font-weight:normal'><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='tab-stops:0in 1.0in 2.0in 2.5in 3.0in 3.5in 4.0in 4.5in 5.0in 5.5in 6.0in 6.5in 7.0in'><b><o:p>&nbsp;</o:p></b></p> </div> </body> </html>