COMPSTAT 2010 19 TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STATISTICS Paris – France August 22-27 INFLUENCE OF THE CALIBRATION WEIGHTS ON RESULTS OBTAINED FROM CZECH SILC DATA Jitk tka a Bartošová and Vladisla islav v Bína University of Economics in Prague Faculty of Management CZECH REPUBLIC bartosov@fm.vse.cz, bina@fm.vse.cz
OBJECTIVE OF THE CONTRIBUTION To reveal the connection between values of calibration weights and chosen statistical characteristics of the Czech households. Basic ic statist istica ical charact cter erist istics ics of calibrati tion on weights hts. Influe uence nce of calibrati tion on weights ts on the income e distribution ibution in Czech h Republic ic. Influe uence nce of the calibrati tion on weights ts on the measurem emen ent t of monet etar ary y pover erty ty in the Czech h Republic ic. 2
CONTENT National variant of european survey EU EU-SIL ILC C as a continuation of former MICROCEN OCENSUS SUS survey. Const nstruc ruction tion of of calibration bration weights hts for sample survey in Czech Republic. Dependence ndence of of calibration bration weights ts on chosen variables. Inf nflue uence nce of of the calibration bration weights ts to the results of survey. 3
REASONS FOR USE OF CALIBRATION WEIGHTS Table le 1: Rate e of successfu ssfull lly surveyed ed households holds according ing to the regio ion n of the Czech ch Republic blic Succ Succes essfu fully lly s surv rveyed d flats flats (%) Region egion 2002 2002 2005 2005 2008 2008 Region egion 2002 2002 2005 2005 2008 2008 Ca Capit ital al Pra Pragu gue 61,9% 51,1% 69,5% Hradec Králové 65,9% 62,9% 81,3% Central Bohemian 67,8% 63,7% 84,4% Pardubice 80,7% 68,1% 85,0% South Bohemian 76,2% 62,9% 87,0% Vysočina 78,7% 73,5% 90,0% Plzeň 77,0% 73,3% 82,3% South Moravian 69,8% 60,0% 83,6% Kar arlov ovy Var ary 81,3% 61,1% 83,6% Olo lomouc uc 77,5% 74,4% 84,0% Ústí nad Labem 84,0% 64,6% 84,1% Zlín 78,6% 67,3% 88,1% Liberec 68,8% 64,0% 83,3% Mor orav avia ian – Sil Silesia esian 73,8% 73,9% 86,9% Source ce: Mikrocensus 2002, EU - SILC 2005 and 2008 4
CONSTRUCTION OF CALIBRATION WEIGHTS number of permanently occupied flats number of inhabitants per flat number of retirees (both working and not working) number of unemployed number of self employed age of the leading person size groups of municipalities 5
BASIC STATISTICAL CHARACTERISTICS OF CALIBRATION WEIGHTS Table ble 2: Basic statistical tistical charact cteristics eristics of calibration bration weights ts Minimum mum 1st qua quartile St. deviati tion on 205.5 100.0 294.6 Me Mean Media ian Weigh ght sum 417.9 369.8 404334 3341 Maxim imum 3rd qua quartile ile 3475. 5.0 493.6 Sour urce ce: EU - SILC 2007 6
DISTRIBUTION OF CALIBRATION WEIGHTS IN DEPENDENCE ON INCOMES Fig. . 1: : Kernel el density ity estimat imates es of calibration ration weights hts distri tribu buti tion on Source ce: EU – SILC 2005 – 2007 7
DEPENDENCE OF CALIBRATION WEIGHTS ON INCOME OF HOUSEHOLDS Fig. 2: : Dependence nce of calibrat ratio ion n wei weights ts on income of households Source ce: EU - SILC 2007 8
DEPENDENCE OF CALIBRATION WEIGHTS ON NET OF INCOME Fig. 3: Calibration weights of the households with different number of members Source: ce: EU - SILC 2007 9
DEPENDENCE OF CALIBRATION WEIGHTS ON THE HOUSEHOLD SIZE Fig. . 3: Ca Ca librat ratio ion n wei weights hts of the households with different rent number of members Source ce: EU - SILC 2007 10
DEPENDENCE OF THE CALIBRATION WEIGHTS ON THE SOCIAL GROUP AND MUNICIPALITY Table le 3: Samp mple le sizes s and means ns of calibra rati tion on weight ghts of differen erent t social l group ups So Social g ial gro roup of of t the he head head of of h hou ousehold ehold 1 2 3 4 5 6 7 8 5 size samp sa mple le size 2385 2385 802 2297 418 3423 3423 258 258 110 9675 9675 hts mean mean of of w weig eights 420.4 630.1 433.6 429.2 332.3 731.1 380.4 417.9 1 1 3 3 4 4 2 2 Low ower er Highe her r Retired ired with Self employed ed employees ees EA members employees ees Sour urce: ce: EU - SILC 2007 5 5 6 6 7 7 8 8 Retired ired without out Unem employed ed Other ers All ll househ ehold olds EA EA members Table le 4: Samp mple le sizes s and means ns of calibra rati tion on weight ghts of differen erent t mun unici cipali paliti ties es Type e of of munic icip ipalit ality cap apital tow ital town cou ounty ty s seat eat urban rban villag villages es villag villages size samp sa mple le size 864 864 1423 3952 3952 3436 3436 hts mean mean of of w weig eights 617 617.3 .3 446 446.4 .4 395.6 381.7 38 11
DEPENDENCE OF THE CALIBRATION WEIGHTS ON THE SOCIAL GROUP Fig. . 4: : C alib ibration ation wei weights ts of the households lds from different rent social groups ps Source: ce: EU - SILC 2007 12
DEPENDENCE OF THE CALIBRATION WEIGHTS ON THE TYPE OF MUNICIPALITY Fig. . 5: C alib ibration ation wei weights ts of the households lds from different rent types of municipal icipalities ities Source: ce: EU - SILC 2007 13
INFLUENCE OF CALIBRATION WEIGHTS ON THE ESTIMATES OF INCOME CHARACTERISTICS Table le 4: Income ome charact cteris eristics tics of the househ useholds olds from m different erent social group ups So Social g ial gro roup of of t the he head head of of h hou ousehold ehold Differe Difference betw e betwee een weig eighted an hted and u d unweig eighted hted 1 2 3 4 6 7 8 5 5 characteris haracteristic tics mea ean (C (CZK ZK) 10628 17486 17486 10878 14424 14424 2374 3243 1181 22131 1181 22131 med median n (CZK) (CZK) 8727 14198 14198 8658 14237 14237 10128 9260 -1288 1288 20582 20582 standard dev eviatio iation n (CZK) (CZK) 5294 19872 19872 3135 9512 9512 -143 143 2289 -4574 21380 21380 1 – low 1 ower r employ oyees, 2 2 – se self em employed, , 3 – higher r employ oyees, , 4 – ret retired red wit with ec econom nomical cally act active ve members rs, 5 5 – ret retired red wit without out ec econo onomical cally a act ctive m ve members rs, , 6 6 – un unemploy oyed, , 7 – ot others rs, 8 – al all house ouseholds Table le 5: Income ome charact cteris eristics tics of the househ useholds olds from m different erent mun unicip ipaliti alities es Type e of of munic icip ipalit ality Differe Difference betw e betwee een weig eighted an hted and u d unweig eighted hted cap apital tow ital town cou ounty ty s seat eat urban rban villag villages es villag villages characteris haracteristic tics mea ean (C (CZK ZK) 17387 17387 20973 20973 18278 21102 21102 med median n (CZK) (CZK) 26499 26499 21500 21500 16152 16152 18862 standard dev eviatio iation n (CZK) (CZK) 13035 9799 9799 23437 23437 20544 20544 Source: ce: EU - SILC 2007 14
DIFFERENCE BETWEEN WEIGHTED AND UNWEIGHTED CHARACTERISTICS 25000 Difference of means (CZK) Difference of medians (CZK) 20000 Difference of standard deviations (CZK) 15000 10000 5000 0 -5000 15
DEFINITIONS OF THE CONSUMING UNIT H – total income SJ SJ – equivale alent nt scale per household of OECD D EJ EJ – equivalent alent scale R – income of EU per representative ch ch – num umbe ber r of childre ren n betw etwee een n 0 and 13 13 op op – num umber ber of ot other her childre ren n and membe mbers s (except ept „ he head “ of househ usehold old) 16
THRESHOLD OF MONETARY POVERTY FOR DIFFERENT TYPES OF CONSUMING UNITS Table 6: Influence luence of calibra rati tion on weight ghts s on the thresh shold old of mone neta tary y pover erty ty for differe erent nt types es of consuming ming un units Threshold hreshold of m of monet onetary p pov overty (CZ (CZK) Type of the e of the Ye Year ar cons onsum uming ing weighted eighted unweighted un eighted Dif ifferen erence betwe tween unit un it esti timat ate esti timat ate weighted eighted and and un unweighted eighted household 2355 116909 114554 2002 2002 representative -1522 52000 53522 household 9303 132549 123246 repr epres esentativ entative -30 30 58200 58230 2005 2005 def ef. E . EU 2286 2286 78786 78786 76500 76500 def ef. OE . OECD 1024 1024 68223 68223 67199 67199 hou ouseh ehold old 11655 11655 139743 128088 representative 528 60912 60384 2006 2006 def ef. E . EU 3484 3484 83052 83052 79568 79568 def ef. OE . OECD 2074 2074 72000 72000 69926 69926 hou ouseh ehold old 12351 12351 152069 139718 representative 604 65850 65246 2007 2007 def ef. E . EU 3482 3482 89611 89611 86129 86129 def ef. OE . OECD 3482 3482 89611 89611 86129 86129 Sour urce ce: Mikrocensus 2002, EU-SILC 2005 – 2007
THRESHOLD OF MONETARY POVERTY FOR DIFFERENT TYPES OF CONSUMING UNITS weighted 160000 unweighted 140000 120000 100000 80000 60000 40000 20000 0 household representative household representative def. EU def. OECD household representative def. EU def. OECD household representative def. EU def. OECD 2002 2005 2006 2007 18
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