aidsPx: Price Index for the AIDS

In micEconAids: Demand Analysis with the Almost Ideal Demand System (AIDS)

Description

Calculate log price indices for the AIDS and LA-AIDS.

Usage

   aidsPx( priceIndex, priceNames, data, shareNames = NULL, base = 1, coef = NULL,
      shifterNames = NULL )

Arguments

priceIndex	the price index to be used (see details).
priceNames	a vector of strings containing the names of the prices.
data	a data frame containing the required variables.
shareNames	a vector of strings containing the names of the expenditure shares.
base	the base to calculate the indices (see details).
coef	a list containing the coefficients alpha0, alpha, beta, and gamma (only needed for the translog price index).
shifterNames	an optional vector of strings containing the names of the demand shifters that modify the alphas of the Translog price index.

Details

Currently 7 different price indices are implemented:

• translog price index ('TL'),

• Stone price index ('S'),

• Stone price index with lagged shares ('SL'),

• loglinear analogue to the Paasche price index ('P'),

• loglinear analogue of the Laspeyres price index ('L'),

• simplified loglinear analogue of the Laspeyres price index ('Ls'), and

• Tornqvist price index ('T').

The argument base can be either

• a single number: the row number of the base prices and quantities,

• a vector indicating several observations: The means of these observations are used as base prices and quantities, or

• a logical vector with the same length as the data: The means of the observations indicated as 'TRUE' are used as base prices and quantities.

• a list with elements prices and/or shares that are numeric vectors specifying the values of the base prices and/or base expenditure shares.

Value

A vector containing the log price index. If argument priceIndex is "P", "Ls", or "T", the returned vector has the attribute(s) basePrices and/or baseShares that are numeric vectors of the base prices and/or base expenditure shares for calculating the price indices.

Author(s)

Arne Henningsen

References

Deaton, A.S. and J. Muellbauer (1980) An Almost Ideal Demand System. American Economic Review, 70, p. 312-326.

Moschini, G. (1995) Units of Measurement and the Stone Index in Demand System Estimation. American Journal of Agricultural Economics, 77, p. 63-68.

See Also

aidsEst

Examples

   data( Blanciforti86 )

   # Stone price index
   aidsPx( "S", c( "pFood1", "pFood2", "pFood3", "pFood4" ),
      Blanciforti86, c( "wFood1", "wFood2", "wFood3", "wFood4" ) )

   # (log-linear analogue of the) Paasche price index
   aidsPx( "P", c( "pFood1", "pFood2", "pFood3", "pFood4" ),
      Blanciforti86, c( "wFood1", "wFood2", "wFood3", "wFood4" ),
      base = row.names(Blanciforti86) == "1970" )

   # Tornqvist price index
   aidsPx( "T", c( "pFood1", "pFood2", "pFood3", "pFood4" ),
      Blanciforti86, c( "wFood1", "wFood2", "wFood3", "wFood4" ),
      base = list( prices = rep( 100, 4 ), shares = rep( 0.25, 4 ) ) )

Example output

Loading required package: lmtest
Loading required package: zoo

Attaching package: 'zoo'

The following objects are masked from 'package:base':

    as.Date, as.Date.numeric

Loading required package: micEcon

If you have questions, suggestions, or comments regarding one of the 'micEcon' packages, please use a forum or 'tracker' at micEcon's R-Forge site:
https://r-forge.r-project.org/projects/micecon/
    1947     1948     1949     1950     1951     1952     1953     1954 
4.045308 4.125273 4.085022 4.106832 4.205332 4.225481 4.218708 4.222115 
    1955     1956     1957     1958     1959     1960     1961     1962 
4.200047 4.204955 4.237166 4.272828 4.255110 4.266261 4.281529 4.288436 
    1963     1964     1965     1966     1967     1968     1969     1970 
4.307764 4.318767 4.337441 4.388123 4.401451 4.435673 4.479683 4.530530 
    1971     1972     1973     1974     1975     1976     1977     1978 
4.570344 4.605170 4.742872 4.876542 4.962223 4.994273 5.058455 5.153242 
    1979     1980     1981 
      NA       NA       NA 
       1947        1948        1949        1950        1951        1952 
-0.49759092 -0.41320299 -0.45300487 -0.43511431 -0.32786145 -0.31138128 
       1953        1954        1955        1956        1957        1958 
-0.31817931 -0.31886976 -0.33663897 -0.33206860 -0.29935557 -0.26328461 
       1959        1960        1961        1962        1963        1964 
-0.28093023 -0.26998476 -0.25473107 -0.24747511 -0.23289439 -0.21710800 
       1965        1966        1967        1968        1969        1970 
-0.19832376 -0.14720930 -0.13856930 -0.10439210 -0.05545885  0.00000000 
       1971        1972        1973        1974        1975        1976 
 0.03144753  0.07074422  0.20918663  0.34167482  0.42733893  0.46453365 
       1977        1978        1979        1980        1981 
 0.52847372  0.61968006          NA          NA          NA 
attr(,"basePrices")
[1] 91.0 90.7 94.9 96.3
       1947        1948        1949        1950        1951        1952 
-0.57400146 -0.49166140 -0.52539706 -0.51217242 -0.40714555 -0.38602236 
       1953        1954        1955        1956        1957        1958 
-0.39343754 -0.39341742 -0.40725041 -0.40054633 -0.36840298 -0.33107578 
       1959        1960        1961        1962        1963        1964 
-0.34702731 -0.33502622 -0.32009105 -0.31158260 -0.29541320 -0.28056477 
       1965        1966        1967        1968        1969        1970 
-0.26216979 -0.21285366 -0.20411966 -0.17038734 -0.12445934 -0.07026406 
       1971        1972        1973        1974        1975        1976 
-0.03748968  0.00000000  0.13420591  0.27952943  0.36361346  0.39593072 
       1977        1978        1979        1980        1981 
 0.45706282  0.54831571          NA          NA          NA 
attr(,"basePrices")
[1] 100 100 100 100
attr(,"baseShares")
[1] 0.25 0.25 0.25 0.25

micEconAids documentation built on May 2, 2019, 5:21 p.m.