Impute missing observations using the maximum deviation method.

Imputes the missing values of a list of matrices produced by ahp.mat using the maximum deviation method. Missing values must be coded as NA. A minimum of n-1 comparisons must be made, where n is the number of attributes (assuming that the decision-maker is perfectly consistent). Note that the algorithm assumes that the NA values will be imputed under perfect consistency with the other pairwise comparisons made.

Usage

ahp.missing(ahpmat, atts, round = FALSE, limit = FALSE)

Arguments

ahpmat: A list of pairwise comparison matrices of each decision maker generated by ahp.mat.
atts: A list of attributes in the correct order
round: Rounds the imputation values of the matrix to the nearest integer if TRUE. Defaults to FALSE.
limit: If set to TRUE, if the imputation value is larger than 9 or smaller than 1/9, the value is converted to 9 and 1/9 respectively. Defaults to FALSE.

Value

A list of matrices with all NA values imputed.

References

There are no references for Rd macro \insertAllCites on this help page.

Author

Frankie Cho

Examples


library(magrittr)

atts <- c('cult', 'fam', 'house', 'jobs', 'trans')

data(city200)

set.seed(42)
## Make a dataframe that is missing at random
missing.df <- city200[1:10,]
for (i in 1:10){
  missing.df[i, round(stats::runif(1,1,10))] <- NA
}
missingahp <- ahp.mat(missing.df, atts, negconvert = TRUE)
ahp.missing(missingahp, atts)
#> [[1]]
#>            cult   fam     house  jobs    trans
#> cult  1.0000000 0.500 2.0000000 0.500 6.000000
#> fam   2.0000000 1.000 4.0000000 4.000 8.000000
#> house 0.5000000 0.250 1.0000000 0.250 2.243894
#> jobs  2.0000000 0.250 4.0000000 1.000 8.000000
#> trans 0.1666667 0.125 0.4456538 0.125 1.000000
#> 
#> [[2]]
#>       cult   fam    house      jobs    trans
#> cult  1.00 0.500 4.000000 1.0000000 4.000000
#> fam   2.00 1.000 4.000000 2.0000000 8.000000
#> house 0.25 0.250 1.000000 0.2500000 1.538966
#> jobs  1.00 0.500 4.000000 1.0000000 7.000000
#> trans 0.25 0.125 0.649787 0.1428571 1.000000
#> 
#> [[3]]
#>            cult       fam     house      jobs    trans
#> cult  1.0000000 0.2500000 2.0000000 1.0000000 3.125521
#> fam   4.0000000 1.0000000 7.0000000 3.0000000 5.000000
#> house 0.5000000 0.1428571 1.0000000 0.2500000 3.000000
#> jobs  1.0000000 0.3333333 4.0000000 1.0000000 6.000000
#> trans 0.3199467 0.2000000 0.3333333 0.1666667 1.000000
#> 
#> [[4]]
#>       cult       fam     house      jobs trans
#> cult  1.00 0.1250000 4.0000000 0.3333333     4
#> fam   8.00 1.0000000 8.0000000 1.0000000     7
#> house 0.25 0.1250000 1.0000000 0.1742680     3
#> jobs  3.00 1.0000000 5.7382886 1.0000000     9
#> trans 0.25 0.1428571 0.3333333 0.1111111     1
#> 
#> [[5]]
#>            cult        fam     house      jobs    trans
#> cult  1.0000000 0.33333333 3.0000000 0.2000000  6.00000
#> fam   3.0000000 1.00000000 8.0000000 1.0000000 12.39224
#> house 0.3333333 0.12500000 1.0000000 0.2500000  3.00000
#> jobs  5.0000000 1.00000000 4.0000000 1.0000000  6.00000
#> trans 0.1666667 0.08069565 0.3333333 0.1666667  1.00000
#> 
#> [[6]]
#>       cult       fam     house      jobs trans
#> cult  1.00 0.1666667 4.0000000 0.5000000     4
#> fam   6.00 1.0000000 7.0000000 1.6561412     4
#> house 0.25 0.1428571 1.0000000 0.2500000     3
#> jobs  2.00 0.6038132 4.0000000 1.0000000     6
#> trans 0.25 0.2500000 0.3333333 0.1666667     1
#> 
#> [[7]]
#>            cult       fam     house      jobs trans
#> cult  1.0000000 0.1428571 5.0000000 3.0000000     3
#> fam   7.0000000 1.0000000 8.0000000 1.0000000     9
#> house 0.2000000 0.1250000 1.0000000 0.3246012     3
#> jobs  0.3333333 1.0000000 3.0807030 1.0000000     7
#> trans 0.3333333 0.1111111 0.3333333 0.1428571     1
#> 
#> [[8]]
#>            cult       fam    house      jobs trans
#> cult  1.0000000 0.2000000 1.738206 0.3333333     5
#> fam   5.0000000 1.0000000 6.000000 3.0000000     8
#> house 0.5753057 0.1666667 1.000000 0.2500000     2
#> jobs  3.0000000 0.3333333 4.000000 1.0000000     7
#> trans 0.2000000 0.1250000 0.500000 0.1428571     1
#> 
#> [[9]]
#>            cult        fam     house      jobs    trans
#> cult  1.0000000 0.33333333 3.0000000 0.5000000  4.00000
#> fam   3.0000000 1.00000000 6.0000000 2.0000000 15.49362
#> house 0.3333333 0.16666667 1.0000000 0.2500000  3.00000
#> jobs  2.0000000 0.50000000 4.0000000 1.0000000  9.00000
#> trans 0.2500000 0.06454268 0.3333333 0.1111111  1.00000
#> 
#> [[10]]
#>            cult       fam     house      jobs    trans
#> cult  1.0000000 0.1428571 3.0000000 0.3333333  6.00000
#> fam   7.0000000 1.0000000 8.0000000 3.0000000 29.08228
#> house 0.3333333 0.1250000 1.0000000 0.2500000  3.00000
#> jobs  3.0000000 0.3333333 4.0000000 1.0000000  8.00000
#> trans 0.1666667 0.0343852 0.3333333 0.1250000  1.00000
#>