【文章內(nèi)容簡(jiǎn)介】 1) Factor analysis。 (2) Determine the period for unifying factor（數(shù)拉基，質(zhì)派報(bào)） 。 ?????????????????????ind ex Paasch eind ex Laspeyr es1011101100010001qpqpKpqpqKqpqpKpqpqKpqpqsys temind ex Second )2(000110110011 ?????????qpqppqpqqpqp ?????????? sys temind ex First )1(101100010011qpqppqpqqpqpChapter 5 Statistical index (3) Estimation of unknown index numbers [Example] In a factory, paring to the base period, the number of employees increased 2% in the report period, and the total product increased 20%. How did the productivity changed? Solution: Find out relations between indicators Industrial product = Number of employees ? Productivity Symbolize: pq = q ? p 101100010011ind ex theMakingqpqppqpqqpqp?????????pK??? %102%120numbers in t hePut % ex theCalculate ?? pKChapter 5 Statistical index Section 3 Mean index number 1. The problems of aggregative index number 101100010011sys temind ex eAggregati vqpqppqpqqpqp?????????1) Obtaining the data: ?p1q1。 ?p0q0。 ?p0q1. 2) The effort needed to calculate and obtain the data is massive. 2. The concepts of mean index number（ 平均數(shù)指數(shù) ） 1) Definition: Using the method of mean ? Total index 2) Types (1) Mean index numbers that was transformed from aggregative index number（綜合指數(shù)變形的平均數(shù)指數(shù)） (2) Independent (fixed weights) mean index numbers Chapter 5 Statistical index 3. Mean index that was transformed from aggregative index number [Example] 3 ki nd of items in a su per mark e t : Item p 0 q 0 p 1 q 1 k p =p 1 /p 0 (% ) k q =q 1 /q 0 (% ) Onion T omato Potato 99 40 80 54 36 90 1 1 1 1 150 Factors ana lyz e the cha nges of the sales of the 3 ite m s. ??????? qpqp1) Total index of sales (Index number of total changes) % 1700011 ?????qpqpKpqChapter 5 Statistical index 2) Total index of sale quantity (Quantitative index) 0001pqpqKq ??? Item p 0 q 0 p 1 q 1 k p =p 1 /p 0 (% ) k q =q 1 /q 0 (% ) Onion T omato Potat o 99 40 8 0 54 36 90 1 1 1 1 150 0001pqpqq ??00, A ssume pqfkx q ??01qqkq ???Weighted arithmetic mean index numbers（加權(quán)算術(shù)平均數(shù)指數(shù)） that was transformed from aggregative index number 0000pqpqk q???% ?? 01 qkq q ??? xfxfK q ?????Chapter 5 Statistical index 3) Total index of sale price (Qualitative index) pp kppppk 1001 ????1011qpqpKp ???11, Assume qpmkx p ??? xmm????Weighted harmonic mean index numbers（加權(quán)調(diào)和平均數(shù)指數(shù)） that was transformed from aggregative index number pkqpqp1111???% ?? Item p 0 q 0 p 1 q 1 k p =p 1 /p 0 (% ) k q =q 1 /q 0 (% ) Onion T omato Potat o 99 40 8 0 54 36 90 1 1 1 1 150 Chapter 5 Statistical index 4) System of mean index that was transformed from aggregative index sys teminde x eAggregativ 101100010011 ?????????qpqppqpqqpqp0000pqpqk q???)1()( 111100000011 qpkqppqpqkqpqppq ??????????? ?1 Question1100 qpkpqkpq ?? ＝： ,A nswer0100 pqpqk q ???：11111 qpkqpp???systemindex Mean ? 10111 qpqpk p ???Chapter 5 Statistical index Section 4 Index of mean indicator 1. Definition: The relative number calculated by paring the weighted arithmetic mean of two periods. Nu mber of employees A verage monthly salary T ype f 0 f 1 x 0 x 1 Mechanic Other 300() 200() 400() 600() 700 400 750() 450() T otal 500 1000 580 0x 570 1x 00011101ffxffxxx?????me an Po pulationme an C lassN ote ?? ii xx ，：0011ffxfx?????? %580570202300202300300700600400600450400750???????????Chapter 5 Statistical index 2. Types of index of mean indicator（ 平均指標(biāo)指數(shù) ） 1) Index of variable construction（ 可變構(gòu)成指數(shù) ， Total change index） 01000111xxffxffx??????0011qpqpKpq ???fqxpA ssume ?? ,：0011fxfx??? Nu mber of employees A verage monthly salary T ype f0 f 1 x 0 x 1 Mechanic Other 300() 200() 400() 600() 700 400 750() 450() T otal 500 1000 580 0x 570 1x Chapter 5 Statistical index [Analysis] Because of the changes in both average monthly salary and employee structure, the total average salary has dropped %, means 10 Yuan per person on average. %58057000011101 ???????ffxffxxx???????????1000 0)( 1010101fxxxx000111ffxffx??????? Nu mber of employees A verage monthly salary T ype f 0 f 1 x 0 x 1 Mechanic Other 300() 200() 400() 600() 700 400 750() 450() T otal 500 1000 580 0x 570 1x Chapter 5 Statistical index 2) Fixed structure index（固定構(gòu)成指數(shù)， Qualitative index） fqxp ?? , Assume1011qpqpKp ???1011fxfx???nxxffxffx1110111?????? Nu mber of employees A verage monthly salary T ype f 0 f 1 x 0 x 1 Mechanic Other 300() 200() 400() 600() 700 400 750() 450() T otal 500 1000 580 0x 570 1x Chapter 5 Statistical index [Analysis] If we rule out the change in the employee structure, then the change of average monthly salary caused the total average salary to rise %, means 50 Yuan per person on average, and the salary costs the factory 50,000 Yuan more. %5205701101111 ?????