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Description of methods and sources for Albania - INSTAT

Description of methods and sources for Albania - INSTAT

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IPA 2009 Multi-beneficiary StatisticalCooperation Programmecolumn 3, we have four quarterly indicators <strong>for</strong> year T, which can be differentvolume or value indicators <strong>for</strong> each activity (<strong>for</strong> example turnover that is widely usedin our case). After the benchmarking process, we produce respective quarter valueadded which have the characteristics that the sum <strong>of</strong> four quarter is equal with annual.value added.V T =i4i1Vq66Table 18.1:iBenchmarking Process(1)Year(2)AnnualValue Added(3)Quarter(4)Quarterindicator(5)QuarterValue Added(6)Sum <strong>of</strong> 4QuartersTq 1 Iq 1 Vq 1i4Tq 2 Iq 2 Vq 2T V T VqiTq 3 Iq 3 Vq 3i1Tq 4 Iq 4 Vq 4It is necessary to mention that this process is based on Proportional Denton Methodwhich eliminates the step problem. The step problem arises because <strong>of</strong>discontinuousness between years <strong>and</strong> is more evident in comparisons between thefirst quarters <strong>and</strong> the fourth quarter. Proportional Denton Method from the other sideeliminates this problem by smooth changes from one quarter to the next one. Itminimizes the sum <strong>of</strong> squared differences <strong>of</strong> the relative adjustments <strong>of</strong> twoneighboring quarters.A numerical example is given in Annex I, Tab I.1.18.2.3 Seasonal adjustmentOne <strong>of</strong> the major characteristics <strong>and</strong> issues <strong>of</strong> quarterly national accounts isseasonality. This can be achieved in two ways:Direct <strong>and</strong> indirect seasonal adjustmentThe level at which a series is seasonally adjusted is important since it has thepotential to affect the quality <strong>of</strong> that seasonally adjusted series. The individualcomponent series <strong>of</strong> the main economic variables can be seasonally adjusted <strong>and</strong>then summed to derive totals. This is called an indirect seasonal adjustment.Alternatively, the main economic variables can be seasonally adjusted at the totallevel, independently <strong>of</strong> the seasonal adjustment <strong>of</strong> their components. The adjustment<strong>of</strong> the total <strong>of</strong> an aggregate series is called a direct seasonal adjustment. The indirectapproach has the advantage <strong>of</strong> retaining additivity but this applies only to the currentprice series. Although the indirect approach conceptually provides additivity <strong>for</strong>volume series, additivity is lost by chain-linking.165/236

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