Efficiency Measurement William Greene Stern School of Business New York University Current Versions Executing the Lab Scripts Lab Session 1 Introduction to Frontier Modeling with LIMDEP/NLOGIT Lab Session 1 Operating LIMDEP Basic Commands - Transformations Linear Regression/Panel Data Application: Panel data on Spanish Dairy Farms Estimating the linear model Testing a hypothesis Examining residuals Desktop Entering Data for Analysis IMPORT: ASCII, Excel Spreadsheets, other formats .txt, .csv, .txt READ: other programs .dta (stata), .xls (excel) LOAD existing data sets in the form of LIMDEP/NLOGIT ‘Project Files’ – SAVED from earlier sessions or data preparations .lpj (nlogit, limdep, Stat Transfer) Internal data editor Sample data set: dairy.lpj Panel Data on Spanish Dairy Farms Use for a Production Function Study Raw: Milk,Cows,Land, Labor, Feed Transformed yit = log(Milk) x1, x2, x3, x4 = logs of inputs x11 = .5*x12, x12 = x1*x2, etc. year93 = dummy variable for year,… Data on Spanish Dairy Farms N = 247 farms, T = 6 years (1993-1998) Input Units Mean Std. Dev. Minimum Maximum Milk Milk production (liters) 131,108 92,539 14,110 Cows # of milking cows 2.12 11.27 4.5 82.3 Labor # man-equivalent units 1.67 0.55 1.0 4.0 Land Hectares of land devoted to pasture and crops. 12.99 6.17 2.0 45.1 Feed Total amount of feedstuffs fed to dairy cows (tons) 57,941 47,981 3,924.1 4 376,732 727,281 Locate file Dairy.lpj Project Window Project window displays the data set currently being analyzed: Variables Matrices Other program related results Instructing LIMDEP to do something Menus – available but we will generally not use them Command language – entered in an editor then ‘submitted’ to the program Use File:New/OK for an Editing Window Text Editing Window Commands will be entered in this window and submitted from here Typing Commands in the Editor When you open a .lim file, it creates a new editing window for you. Submit the existing commands, modify them then submit, or type new commands in the same window. “Submitting” Commands One line command Place cursor on that line Press “Go” button More than one command or command on more than one line Highlight all lines (like any text editor) Press “Go” button The GO Button There is a STOP button also. You can use it to interrupt iterations that seem to be going nowhere. It is red (active) during iterations. Where Do Results Go? On the screen in a third window that is opened automatically In a text file if you request it. To an Excel CSV file if you EXPORT them Internally to matrices, variables, etc. Standard Three Window Operation Project window shows variables in the data set Commands typed in editing window Results appear in output window Command Structure VERB ; instruction ; … ; … $ Verb must be present Semicolons always separate subcommands ALL commands end with $ Case never matters in commands Spaces are always ignored Use as many lines as desired, but commands must begin on a new line Important Commands: CREATE ; Variable = transformation $ SAMPLE ; first Create ; LogMilk = Log(Milk) $ Create ; LMC = .5*Log(Milk)*Log(Cosw) $ Create ; … any algebraic transformation $ - last Sample ; 1 – 1000 $ Sample ; All $ REJECT ; condition Reject ; Cows < 20 $ $ Model Command Model ; Lhs = dependent variable ; Rhs = list of independent variables $ Regress ; Lhs=Milk ; Rhs=ONE,Feed,Labor,Land $ ONE requests the constant term - mandatory Typically many optional variations Models are REGRESS, FRONTIER, PROBIT, POISSON, LOGIT, TOBIT, … and over 100 others. All have the same form. Variants of models such as Poisson / NegBinomial Several hundred different models altogether Name Conventions CREATE ; Name = any function desired $ Name is the name of a new variable No more than 8 characters in a name The first character must be a letter May not contain -,+,*,/. Use letters A – Z, digits 0 – 9 and _ May contain _. Two Useful Features NAMELIST ; listname = a group of names $ Listname is any new name. After the command, it is a synonym for the list NAMELIST ; CobbDgls=One,LogK,LogL $ REGRESS ;Lhs = LogY ; Rhs = CobbDgls $ * = All names DSTAT ; RHS = * $ REGRESS ; Lhs = Q ; Rhs = One, LOG* $ A Useful Tool - Calculator CALC ; List ; any expression $ CALC ; List ; 1 + 1 $ CALC ; List ; FTB ( .95,3,1482) $ (Critical point from F table) CALC ; List ; Name = any expression $ Saves result with name so it can be used later. CALC ; Chisq=2*(LogL – Logl0) $ ;LIST may be omitted. Then result is computed but not displayed Matrix Algebra Large package; integrated into the program. NAMELIST ; X = One,X1,X2,X3,X4 $ MATRIX ; bols = <X’X> * X’y $ CREATE ; e = y – X’bols $ CALC ; s2 = e’e / (N – Col(X)) $ MATRIX ; Vols =s2 * <X’X> ;Stat(bols,Vols,X) $ Over 100 matrix functions and all of matrix algebra are supported. Use with CREATE, CALC, and model estimators. Regression Results Model estimates on screen in the output window Matrices B and VARB Scalar results New Variables if requested, e.g., residuals Retrievable table of regression results Results on the Screen in the Output Window Matrices B and VARB. Double click names to open windows. Use B and VARB in other MATRIX computations and commands. Scalar results from a regression can also be used in later computations Regression Analysis: Testing Cobb-Douglas vs. Translog NAMELIST ; cobbdgls = one,x1,x2,x3,x4 $ NAMELIST ; quadrtic =x11,x22,x33,x44,x12,x13,x14,x23,x24,x34 $ NAMELIST ; translog = cobbdgls,quadrtic $ DSTAT ; Rhs=*$ REGRESS ; Lhs = yit ; Rhs = cobbdgls $ CALC ; loglcd = logl ; rsqcd = rsqrd $ REGRESS ; Lhs = yit ; Rhs= translog $ CALC ; logltl = logl ; rsqtl = rsqrd $ CALC ; dfn = Col(translog) – Col(cobbdgls) $ CALC ; dfd = n – Col(translog) $ CALC ; list ; f=((rsqtl – rsqcd)/dfn) / ((1 - rsqtl)/dfd)$ CALC ; list ; cf = ftb(.95,dfn,dfd) $ CALC ; list ; chisq = 2*(logltl – loglcd) $ CALC ; list ; cc = Ctb(.95,dfn) $ Built in F and Chi squared tests REGRESS ; Lhs = yit ; Rhs = translog ; test: quadrtic $ Exiting the Program Save Your Work When You Exit Lab Exercises with Dairy Farm Data Fit a linear regression with robust covariance matrix Fit the linear model using least absolute deviations and quantile regression Test for time effects in the model Use a Wald test for the translog model Test for constant returns to scale Analyze residuals for nonnormality