ŏY} 1PAGE1AM hBMDPAM-DESCRIPTIONANDESTIMATIONOFMISSINGDATACOPYRIGHT 1977, 1979, 1981, 1982, 1983, 1985, 1987, 1988,19900BYBMDPSTATISTICALSOFTWARE,INC. dBMDPSTATISTICALSOFTWARE, INC.|BMDPSTATISTICALSOFTWAREd1440SEPULVEDABLVDA|CORKTECHNOLOGY PARK, MODELFARMRD8cLOSANGELES,CA 90025USA/| CORK,IRELAND\PHONE (213)479-7799a|PHONE+35321542722HFAX(213)312-0161a|FAX+35321542822TELEX4972934BMDPUI|TELEX 75659SSWLEIqVERSION:1990(IBM/CMS)vDATE:MARCH26,1993AT1:10:25MANUAL:BMDPMANUALVOL.1ANDVOL.2.&DIGEST:BMDPUSER'SDIGEST.UPDATES: STATE NEWS.INTHE PRINTPARAGRAPHFORSUMMARYOFNEWFEATURES.+ PROGRAMINSTRUCTIONS0Q/PROBLEMTITLEIS 'REALESTATEDATA'.){/INPUTzVARIABLESARE6./y0FORMATIS FREE.݌/VARIABLENAMESARESTYLE,SFLA,GRADE,ASSESSED,MARKET,ID. 0 LABEL=ID._-0MISS= 9.99,9.99,9.99,99.99,99.9,99./COMMENT'D1.005.380.75 42.3029.117.'/ESTIMATE%METHOD=REGR.`/PRINTmCASE=60.' /PLOTuXVAR=ASSESSED.YVAR=MARKET.Y /COMMENT'CMSDSN=REALESTDAT00.'d}/COMMENT 'Realestatedatafromp.273ofMinitabbookbyMiller.'h/COMMENT'MINITABHANDBOOKFORBUSINESSANDECONOMICSS.'/COMMENT 'C1=a"style"codeassignedbytheassessorsSTYLE.'h/COMMENT'C2=squarefeetoflivingarea(inhundreds)SFLA.'m/COMMENT 'C3=a"grade"codeassignedbytheassessorsGRADE.'q/COMMENT'C4=assessed valueoftheparcelattimeofsaleASSESSED.' /COMMENT'C5=market valueoftheparcel0MARKET.'/COMMENT'C6=numberofparcel(1to60)0ID.'u/COMMENT'Completedataforoutliers:0.'x8/COMMENT'1.005.380.75 42.3029.1170.'\/COMMENT'1.009.230.756.9045.0550.'H/COMMENT'000B.'/COMMENT'000B.'q /END 1PAGE2AMREALESTATEDATAĝC&GPROBLEM TITLEISREALESTATEDATAK0NUMBEROFVARIABLESTOREAD..........6OQNUMBEROFVARIABLES ADDEDBYTRANSFORMATIONS..0{ TOTALNUMBEROFVARIABLES...........6yCASEFREQUENCYVARIABLE............SCASEWEIGHTVARIABLE..............WCASELABELINGVARIABLES............ID-NUMBEROF CASESTOREAD............TOENDMISSINGVALUESCHECKEDBEFOREOR AFTERTRANS..BEFORE2BLANKSINTHEDATAARETREATEDAS......MISSING6NUMBEROFINTEGER WORDSOFMEMORYFORSTORAGE.533298Y VARIABLESTOBEUSED}/1 STYLE2SFLAa3 GRADE4ASSESSED5MARKET DATAFORMAT:FREE hTHELONGESTRECORDMAYHAVEUPTO80CHARACTERS.  GROUPINGVARIABLE...............PRECISION...................DOUBLETOLERANCEFORMATRIXINVERSION........0.00010008ESTIMATIONMETHOD...............REG\F-TO-ENTERLIMIT................4.00HMISSINGVARIABLE LIMITPERCASE........2MISSINGCASE LIMITPERVARIABLE........50.00PERCENTqEIGENVALUE LOWERLIMIT...........0.00100 RIDGEPARAMETER..............1.00000METHODOFCOMPUTINGCOVARIANCE.........ALLVALUE &MAXIMUMNUMBEROFITERATIONSFORMAX. LIKE...10CONVERGENCECRITERIONFORMAXIMUMLIKELIHOOD..0.01000< PRINTCORRELATIONS...............YES|0 PRINTCOVARIANCES...............NOQ PRINTPATTERNOFMISSINGDATA.........YES{ PRINTEIGENVALUESOFCORRELATIONMATRIX....YES$y PRINTESTIMATESOFMISSINGVALUES.......YES^ PRINTMAHALANOBISDISTANCES..........YES PRINTFREQUENCIESANDPERCENTOFMISSINGDATA.YES- PRINTINVERSEOFCORRELATIONMATRIX......NO, PRINTINVERSEINFORMOFCORRELATIONMATRIX..NO? PRINTSUMOFCASEWEIGHTS...........NO PRINTCORRELATIONSOFDICHOTOMIZEDVARIABLES..YES 0 PRINTSHADEDCORRELATIONMATRICES.......NO:YNUMBEROF PAIRSOFPLOTS............1=} 1PAGE3AMREALESTATEDATAbfhDATA AFTERTRANSFORMATIONS --------------------------kCASE/1a2a3a4a5o NO. LABEL STYLESFLAGRADEASSESSEDMARKET ----- ---------------------------------------------101d1.2510.110.9039.0057.60~8202d1.007.210.9032.4049.20v\303d1.007.600.9039.9053.70zH404d1.006.620.9029.4051.90[505d1.259.310.9036.9057.00q606d1.007.220.7511.1038.40707d1.7516.021.0046.5071.10808d1.006.770.9034.2054.60]&909d1.2510.470.9045.0065.40A1010d1.008.380.9038.4053.40E1111d1.259.180.9048.3061.80I1212d1.007.870.9033.6058.8001313d1.758.580.7533.6053.70}Q1414d1.2511.710.9048.3072.60M{1515d1.008.990.9034.8056.40Qy1616d1.005.770.7533.3039.30 1717d1.005.380.75MISSINGMISSING\1818d1.2510.560.9038.7062.70U-1919d1.258.830.9038.7059.40Y2020d1.2510.330.9037.8060.602121d1.2510.750.9045.6064.2002222d1.2510.700.9034.2065.4042323d1.0010.600.9036.0057.607Y2424d1.2511.380.9038.4058.50}2525d1.005.440.9034.8037.802626d1.008.250.9042.3057.002727d2.0014.350.9032.1058.20h2828d1.008.340.7527.0051.90 2929d1.007.800.7533.9046.503030d1.007.670.7533.3050.40 3131d1.2510.110.9042.0065.403232d1.2510.240.9040.5063.303333d1.006.910.7533.9049.5083434d1.009.660.9045.3066.00\3535d1.2511.060.9047.4064.20H3636d1.0011.000.9045.0062.403737d1.008.900.9030.3052.50q3838d1.009.200.7531.2046.803939d2.0018.040.9045.9068.104040d1.129.650.9021.9055.80&4141d1.256.610.7535.7046.504242d1.7511.641.0044.1062.704343d1.2510.790.9036.3060.904444d1.008.150.9021.6051.6004545d1.7510.601.0043.8067.20(Q4646d2.0012.981.0035.4067.80{4747d2.0012.490.9033.0070.80y4848d1.008.140.9022.2052.204949d1.005.210.7511.7039.00)5050d1.5010.400.9033.6060.60/- 1PAGE4AMREALESTATEDATAݫCASE/1a2a3a4a5_NO. LABEL STYLESFLAGRADEASSESSEDMARKET ----- ---------------------------------------------Y5151d1.2510.510.9039.6062.10}5252d1.007.120.9031.8063.60@5353d1.006.940.9042.0056.105454d1.5010.520.9030.3059.40dh5555d1.009.230.75MISSING45.00h5656d1.009.670.9039.0066.305757d1.007.430.9039.3052.20 5858d1.5012.370.9025.5059.70m5959d1.009.260.9027.3356.10q6060d1.008.020.9038.1054.008\NUMBEROF CASES READ..................60tHxNUMBEROF CASESWITHNODATAMISSINGANDWITHqPOSITIVECASEWEIGHT...............58&PERCENTAGESOFMISSINGDATAFOREACHVARIABLEINEACH GROUP -----------------------------------------------------------C THESEPERCENTAGESARE BASEDONSAMPLE SIZESAND GROUP SIZESF0REPORTEDWITHTHEUNIVARIATESUMMARYSTATISTICSBELOW.QVARIABLESWITHOUTMISSINGDATAARENOTINCLUDED.{KyO01-SASSESSED43.3W MARKET51.71YUNIVARIATESUMMARYSTATISTICS5} -----------------------------9000000SMALLESTLARGESTȦ0SAMPLE0STANDARD,COEFFICIENTSMALLESTLARGESTSTANDARDSTANDARDhۨVARIABLESIZEmMEANDEVIATIONOFVARIATIONeVALUEeVALUESCORESCORESKEWNESSKURTOSIS 1 STYLEs601.214500.30018q0.2471611.000002.00000-0.712.621.430.98 2SFLA609.417332.42842q0.2578675.2100018.03999-1.733.550.921.723 GRADEs600.876670.06856q0.0782060.750001.00000-1.851.80-0.840.04 &4ASSESSED5835.710867.98805q0.22368711.1000048.29999-3.081.58-0.881.148|5MARKETk5957.167798.23494q0.14404937.7999972.59999-2.351.87-0.47-0.22\ XHVALUESFORKURTOSISGREATERTHANZEROINDICATEDISTRIBUTIONSWITHHEAVIER TAILSTHANTHENORMALDISTRIBUTION.q 1PAGE5AMREALESTATEDATA&SAMPLE SIZESFOREACHPAIROFVARIABLES --------------------------------------- (NUMBEROF TIMESBOTHVARIABLESAREAVAILABLE)0IN ORDERTOSAVESPACE,VARIABLESWITHNOMISSINGQDATAOR THOSETHATHAVENODATAARENOTINCLUDED..{|yYASSESSEDMARKET$- 04a5^ASSESSED458MARKET55859,>Y PAIRWISEPERCENTAGESOFMISSINGDATA} ------------------------------------DIAGONALELEMENTSARETHEPERCENTAGESTHATEACHVARIABLE:ISMISSING.OFF-DIAGONALELEMENTSARETHEPERCENTAGES=hEITHERVARIABLEISMISSING. THESEPERCENTAGESDONOTINCLUDEb CASESWITHMISSING GROUPORWEIGHTVARIABLES, CASESWITHfZEROWEIGHTS, CASESEXCLUDEDBYSETTINGUSE EQUALTOA  NON-POSITIVE VALUE BY TRANSFORMATIONS, OR CASES WITH GROUPINGVALUESNOT USED.VARIABLESWITHNOMISSINGDATAORTHATkHAVENODATAARENOTINCLUDED HERE.n8r\HYASSESSEDMARKET~vq 04a5zASSESSED43.3[MARKET53.31.7&CORRELATIONSOFTHEDICHOTOMIZEDVARIABLES] ------------------------------------------{0WHERE,FOREACHVARIABLE,ZEROINDICATESTHATTHE VALUEWASDQMISSINGANDONEINDICATESTHATTHE VALUEWASPRESENT.H{VARIABLESWITHNOMISSINGDATAORTHATARECOMPLETELYyMISSINGARENOTINCLUDED.}MQ-YASSESSEDMARKET\ 04a5UASSESSED41.000Y MARKET50.7011.000Y 1PAGE6AMREALESTATEDATA}37PATTERNOFMISSINGDATAANDDATABEYONDLIMITSh ---------------------------------------------- COUNTOFMISSINGVARIABLESINCLUDES CASESWITHTOOMANYMISSINGVALUESORDATABEYONDLIMITS.THECOLUMNLABELEDWT.ISFOR THECASEWEIGHT,IFANY.MREPRESENTSAMISSINGVALUE. BREPRESENTSA VALUEGREATERTHANTHEMAXIMUMLIMIT.SREPRESENTSA VALUELESSTHANTHEMINIMUMLIMIT.8\ 00SSGAMH 00TFRSA 00YLASRq 00LADEK00EESE 2NOOF~WST&CASECASE MISS.~TE LABELNO. VARS. GROUP.D 17k1720MM0 55k5510MQ{2NOOF~WSSGAMyCASECASE MISS.~TTFRSA( LABELNO. VARS. GROUP.YLASR 00LADEK-00EESE00aST)00aE/00aDY%}׼ CORRELATIONS ------------h@VSTYLESFLAGRADEASSESSEDMARKETd h 01a2a3a4a5 STYLE/11.0008SFLA20.7621.000l\ GRADE/30.3910.5211.000pHASSESSED40.2430.4120.4341.000MARKET50.5480.7290.6810.6281.000qtxEIGENVALUESOFCORRELATIONMATRIX& ---------------------------------3.17570.872700.5359Q0.2433B{0.1724Fy 1PAGE7AMREALESTATEDATAˌK-OSQUAREDMULTIPLECORRELATIONSOFEACHVARIABLEWITHALL OTHERVARIABLES ----------------------------------------------------------------------- (MEASURES OF MULTICOLLINEARITY OF VARIABLES)SAND TESTSOFSIGNIFICANCEOFMULTIPLEREGRESSIONVYDEGREESOFFREEDOMFORF-STATISTICSARE4AND55Z}VARIABLER-SQUAREDF-STATISTICSIGNIFICANCE1NO.NAME0(PLESS THAN)5h91 STYLE0.587344e19.57g0.000002SFLA0.718771e35.14g0.00000  3 GRADE0.464836e11.94g0.00000 4ASSESSED0.409318m9.53g0.00001 5MARKET0.729430e37.07g0.00000 8 \ HNOTETHATWHENYOUUSETHEMLORALLVALUEOPTIONS,THE DEGREESOFFREEDOMUSEDINCOMPUTINGTHE ABOVEFSTATISTICS qINCLUDE CASESWITHMISSINGVALUES.IFTHEAMOUNTOF MISSINGDATAISVERYLARGE,THESIGNIFICANCEOFTHE FSTATISTICSISEXAGGERATED. &  INTHE TABLEBELOW,ESTIMATESTHATARELESSTHANTHEMINIMUMS STATEDINTHEVARIABLEPARAGRAPHAREFLAGGEDBYTHE 0LETTER'S'(FORSMALL) AFTERTHEESTIMATE.ESTIMATES QGREATERTHANTHEMAXIMUMSAREFLAGGEDBYTHELETTER {'B'(FOR BIG). yMAHALANOBISDISTANCESARECOMPUTEDFROMEACHCASETOTHE D CENTROIDOFITSGROUP.ONLY THOSEVARIABLES WHICHWERE .ORIGINALLYAVAILABLEAREUSED--ESTIMATEDVALUESARENOT USED. |-FOR LARGEMULTIVARIATENORMALSAMPLES,THEMAHALANOBIS DISTANCESHAVEANAPPROXIMATELYCHI-SQUAREDISTRIBUTIONWITH THENUMBEROFDEGREESOFFREEDOM EQUALTOTHENUMBEROF $NONMISSINGVARIABLES.SIGNIFICANCELEVELSREPORTED BELOW ^THATARELESSTHAN.001AREFLAGGEDWITHANASTERISK(*). Y } 1PAGE8AMREALESTATEDATA > hESTIMATESOFMISSING DATA,MAHALANOBISD-SQUARED(CHI-SQUARED) ANDSQUAREDMULTIPLECORRELATIONSWITHAVAILABLEVARIABLES : = bCASEmCASEMISSING0R- f| LABELNUMBERVARIABLEESTIMATESQUAREDGROUPCHI-SQCHISQ/DFD.F.SIGNIFICANCE i801010000.5620.112j50.9897 \02020002.9710.594j50.7045 jH03030002.2910.458j50.8076 n04040003.0450.609j50.6931 rq05050000.3470.069j50.9967 060600010.8442.169j50.0546 ~07070008.6111.722j50.1256 v&08080002.3990.480j50.7916 z09090001.8700.374j50.8669 [102100001.8930.379j50.8637 112110003.4220.684j50.6353 0122120002.0000.400j50.8492 Q1321300014.8332.967j50.0111 {142140006.4001.280j50.2692 {y152150001.1910.238j50.9457 D162160007.5911.518j50.1803 H172174ASSESSED27.16590.24754.7901.597j30.1878 -172175MARKET43.81130.65554.7901.597j30.1878 }182180000.6220.124j50.9870 M192190000.8450.169j50.9741 Q202200000.2560.051j50.9984 212210001.7720.354j50.8797 Y222220002.7630.553j50.7365 T}232230003.4310.686j50.6339 X242240001.7950.359j50.8767 2522500016.6093.322j50.0053 h262260001.9190.384j50.8603 32722700010.7662.153j50.0562 7282280005.3781.076j50.3715 292290004.3570.871j50.4992 302300003.9130.783j50.5620312310001.6430.329j50.89608322320000.7450.149j50.9804\332330004.0240.805j50.5460H342340004.0140.803j50.5474352350002.5090.502j50.7751q362360004.5780.916j50.4696372370002.3720.474j50.7956382380006.1841.237j50.2887&3923900017.7403.548j50.0033402400005.5901.118j50.3482412410007.3811.476j50.1938422420008.0511.610j50.15350432430000.6500.130j50.9856Q442440005.2641.053j50.3845{452450008.8071.761j50.1170y462460009.7001.940j50.08424724700012.5272.505j50.0282482480004.9240.985j50.4252-492490009.9301.986j50.0772( 1PAGE9AMREALESTATEDATAESTIMATESOFMISSING DATA,MAHALANOBISD-SQUARED(CHI-SQUARED)*YANDSQUAREDMULTIPLECORRELATIONSWITHAVAILABLEVARIABLES-}CASEmCASEMISSING0R-%h| LABELNUMBERVARIABLEESTIMATESQUAREDGROUPCHI-SQCHISQ/DFD.F.SIGNIFICANCE502500001.4830.297j50.9150512510000.4940.099j50.9923 522520007.6551.531j50.1763@532530003.3180.664j50.6511542540002.0250.405j50.8457c8552554ASSESSED28.24890.40956.9041.726j40.1410g\562560004.3740.875j50.4969H572570002.7880.558j50.7326ŵ582580005.3971.079j50.3694lq592590003.3760.675j50.6422p602600001.5820.316j50.9034& ESTIMATIONOFMISSINGDATACOMPLETEDtxCPUTIMEUSEDFORESTIMATIONOFMISSINGVALUESIS0.020SECONDS.0QONTHEFOLLOWINGPAGES,TWO PLOTSAPPEARFOREACHPAIROFVARIABLES{FOR WHICH PLOTSHAVEBEENREQUESTED.THE FIRSTPLOTCONTAINSy CASESFOR WHICHNEITHERVARIABLEHASBEENESTIMATED.THE،SECONDPLOTCONTAINS CASESFOR WHICHEITHERORBOTHVARIABLESBHAVEBEENESTIMATED.IFTHEVARIABLEFORTHEX-AXISHASBEENF-ESTIMATEDBUTTHEVARIABLEFORTHEY-AXISHASNOT,THECASEIS˫PLOTTEDWITHANX.IFTHEVARIABLEFORTHEY-AXISHASBEENESTIMATEDBUTTHEVARIABLEFORTHEX-AXISHASNOT,THECASEISKPLOTTEDWITHAY.IFBOTHVARIABLESHAVEBEENESTIMATED,AOBIS USED.WHENTWOORMORE CASESAREPLOTTEDINTHESAME iRYPOSITIONANDTHEY WOULDRECEIVEDIFFERENTPLOTCHARACTERS,}THENANASTERISK(*)IS USED. 1PAGE10AMREALESTATEDATAVZh..+.....+.....+.....+.....+.....+.....+.....+.....+....+.....+.....+.....+.....+.....+.....+.....+.....+..~-0001-A-000/-1~-000/-A-000/-5 ~-0111-A-000/-970+000/+70+000/+~-000/-A-000/-8~-001A1/-A-000/-\~-00A1a-A-000/-H~-00/1/1-A-000/- 65+011a11+65+000/+q~-0A1011-A-000/-~-00111a-A-000/-~-00111-A-000/-&Ma-01110-Ma-000/-A60+0101+A60+000/+Ra-0~1121-Ra-000/-Ka-0J111-Ka-000/-0 Ea-001/1~-Ea-000/-QTa-11/1a11-Ta-000/-{ 55+0110+55+000/+y~-0111J-A-000/-~-0~1j11-A-000/-~-211111-A-000/--~-000/-A-000/-550+0S110+550+000/+.~-0J10-A-000/-|~-000/-A-000/-~-01110-A-000/-Y~-000/-A-000/-!} 45+000/+45+0aX0A+;~-000/-A-0B0J-~-000/-A-000/-h~-000/-A-000/-~-000/-A-000/->40+000/+40+000/+ ~-10~10/-A-000/-~-10J10-A-000/-:..+.....+.....+.....+.....+.....+.....+.....+.....+....+.....+.....+.....+.....+.....+.....+.....+.....+..'8015s25s35s450B15s25s35s45a\B10s20s30s40s50210s20s30s40s50eHN=58000AN=2iR=.6350ASSESSED40jR=1.000ASSESSED4q P<.001000AP<.001j00MEANS.D.000dMEANS.D.n!--REGRESSIONLINE---RES.MS-X35.7117.9880--REGRESSIONLINE---RES.MS-X27.707.76578r&Y=34.259+.64738*X40.327Y57.3778.14632Y=13.994+1.0976*X0.0000Y44.406.84053~NUMBEROFINTEGER WORDSUSEDINPRECEDINGPROBLEM1168vCPUTIMEUSED0.158SECONDSy0Q 1PAGE11AM{yBMDPAM-DESCRIPTIONANDESTIMATIONOFMISSINGDATACOPYRIGHT 1977, 1979, 1981, 1982, 1983, 1985, 1987, 1988,1990{-0BYBMDPSTATISTICALSOFTWARE,INC.DHdBMDPSTATISTICALSOFTWARE, INC.|BMDPSTATISTICALSOFTWAREd1440SEPULVEDABLVDA|CORKTECHNOLOGY PARK, MODELFARMRD}cLOSANGELES,CA 90025USA/| CORK,IRELANDLYPHONE (213)479-7799a|PHONE+35321542722P}FAX(213)312-0161a|FAX+35321542822TELEX4972934BMDPUI|TELEX 75659SSWLEIThVERSION:1990(IBM/CMS)vDATE:MARCH26,1993AT1:10:26XNOMORECONTROLLANGUAGE. 3PROGRAMTERMINATED