fisher.index.number: Calculate the Fisher index number
In IndexNumber: Index Numbers in Social Sciences

Description Usage Arguments Value Author(s) References Examples

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

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

`x`	It is a matrix containing that magnitude to be studied. In each column, it contains the magnitud of a different product. Thus, we have `nrow(x)` values of a magnitud for `ncol(x)` products.
`y`	It is a matrix containing that magnitude used as weight. In each column, it contains another magnitud of the different products along the time. Thus, we have `nrow(x)` values of a magnitud for `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

Fisher, I. (1922) The making of index numbers: a study of their varieties, tests, and reliability, volume 1. Houghton Mifflin.

Lapedes, Daniel N. (1978) Dictionary of Physics and Mathematics. McGrow–Hill. p. 367. ISBN 0-07-045480-9.

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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)
fisher.index.number(prices,weights,name="Price",opt.plot=TRUE,opt.summary=TRUE)

 

Laspeyres index number

 

 

Paasche index number

 

 

Fisher index number

 

Summary

Min.=101.677656663899

Stage=1

Max.=120.744187829805

Stage=5

$Summary
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  101.7   104.2   107.5   109.5   113.3   120.7 

$`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          101.6777
3      2      77      77      77          104.1935
4      3      77      87      77          107.4996
5      4      85      85      85          113.3458
6      5      90      90      90          120.7442