ordertable: Order tables

In hyper2: The Hyperdirichlet Distribution, Mark 2

Order tables

Description

Order tables

Details

The package makes extensive use of order tables and these are discussed here together with a list of order tables available in the package as data. See also ranktable.Rd.

Consider pentathlon_table:

 > pentathlon_table
              shooting fencing swimming riding running
Moiseev              5       1        1      6       5
Zadneprovskis        6       2        5      5       1
Capalini             4       6        2      3       4
Cerkovskis           3       3        7      7       2
Meliakh              1       7        4      1       6
Michalik             2       4        6      2       7
Walther              7       5        3      4       3

Although pentathlon_table is a dataset in the package, the source dataset is also included in the inst/ directory as file pentathlon.txt; use idiom like read.table("inst/pentathlon.txt") to load the order table.

Object pentathlon_table is a representative example of an ordertable. Each row is a competitor, each column an event (venue, judge, ...). The first row shows Moiseev's ranking in shooting (5th), fencing (1st), and so on. The first column shows the ranks of the competitors in shooting. Thus Moiseev came fifth, Zadneprovskis came 6th, and so on.

However, to create a likelihood function we need ranks, not orders. We need to know, for a given event, who came first, who came second, and so on (an extended discussion on the difference between rank and order is given at rrank). We can convert from an order table to a rank table using ordertable_to_ranktable() (see also ranktable.Rd):

> ordertable_to_ranktable(pentathlon_table)
         c1            c2            c3         c4       c5           
shooting Meliakh       Michalik      Cerkovskis Capalini Moiseev      
fencing  Moiseev       Zadneprovskis Cerkovskis Michalik Walther      
swimming Moiseev       Capalini      Walther    Meliakh  Zadneprovskis
riding   Meliakh       Michalik      Capalini   Walther  Zadneprovskis
running  Zadneprovskis Cerkovskis    Walther    Capalini Moiseev      
         c6            c7        
shooting Zadneprovskis Walther   
fencing  Capalini      Meliakh   
swimming Michalik      Cerkovskis
riding   Moiseev       Cerkovskis
running  Meliakh       Michalik  

Above, we see the same data in a different format (an extended discussion on the difference between rank and order is given in rrank).

Many of the order tables in the package include entries that correspond to some variation on “did not finish”. Consider the volvo dataset:

> volvo_table_2014
           leg1 leg2 leg3 leg4 leg5 leg6 leg7 leg8 leg9
AbuDhabi      1    3    2    2    1    2    5    3    5
Brunel        3    1    5    5    4    3    1    5    2
Dongfeng      2    2    1    3  DNF    1    4    7    4
MAPFRE        7    4    4    1    2    4    2    4    3
Alvimedica    5    5    3    4    3    5    3    6    1
SCA           6    6    6    6    5    6    6    1    7
Vestas        4  DNF  DNS  DNS  DNS  DNS  DNS    2    6

In the above order table, we have DNF for “did not finish” and DNS for “did not start”. The formula1 order table has other similar entries such as DSQ for “disqualified” and a discussion is given at ordertable2supp.Rd.

Links are given below to all the order tables in the package. Note that the table in inst/eurovision.Rmd (wiki_matrix) is not an order table because no country is allowed to vote for itself.

To coerce a table like the Volvo dataset shown above into an order table [that is, replace DNS with zeros, and also force nonzero entries to be contiguous], use as.ordertable().

Author(s)

Robin K. S Hankin

See Also

ordertable2supp,rrank, ranktable,as.ordertable

Examples

ordertable_to_ranktable(soling_table)
ordertable2supp(soling_table) == soling  # should be TRUE

hyper2 documentation built on June 22, 2024, 9:57 a.m.