paasche.index.number: Calculate the Paasche index number
In IndexNumber: Index Numbers in Social Sciences

Description Usage Arguments Value Author(s) References Examples

This function determines the Paasche index number for those cases in which there exist more than an only product.

1	paasche.index.number(x, y, name, opt.plot = FALSE, opt.summary = FALSE)

`x`	Matrix that contains the magnitude(s) under study. In each column, it contains the magnitude of a different product considered. Thus, we have `nrow(x)` values of a magnitude for `ncol(x)` products.
`y`	Matrix that contains that magnitude used as weight. In each column, it contains another magnitude associated to each different product along the time. Thus, we have `nrow(x)` values of magnitudes for the set of `ncol(x)` products.
`name`	Chain of characters to indicate the name of the variable under study.
`opt.plot`	Logical option to indicate if a graphical descriptiony of the index number along the different stages is required. It takes the value `TRUE` or `FALSE`.
`opt.summary`	Logical option to indicate if a statistical summary of the index number is required. It takes the value `TRUE` or `FALSE`.

`Summary`	Statistical summary (optional) of the index number along the considered period.
`Agg. index number`	Table containing the values of the index number for the considered stages and the aggregate value.
`Graphical`	Graphical summary (optional) of the index number along the considered period.

A. Saavedra-Nieves, P. Saavedra-Nieves

Paasche, H. (1874) Uber die Preisentwicklung der letzten Jahre nach den Hamburger Borsen-notirungen. Jahrb. Natl. Stat. 23, 168–178.

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prices<-matrix(c(70,75,77,77,85,90,85,75,77,87,85,90,70,75,77,77,85,90),ncol=3)
weights<-matrix(c(1,1.5,0.8,1.1,1,0.9,0.7,0.8,0.6,1,1.1,0.9,1,1,0.9,1.1,0.6,0.8),ncol=3)
paasche.index.number(prices,weights,"Price",opt.plot=TRUE,opt.summary=TRUE)

 

Paasche index number

 

Summary

Min.=101.851851851852

Stage=1

Max.=119.693094629156

Stage=5

$Summary
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  101.9   104.2   107.3   108.9   111.7   119.7 

$`Agg. index number`
  Stages Price 1 Price 2 Price 3 Agg. index number
1      0      70      85      70          100.0000
2      1      75      75      75          101.8519
3      2      77      77      77          104.1765
4      3      77      87      77          107.2803
5      4      85      85      85          111.6788
6      5      90      90      90          119.6931