This function obtains the set of symbols to get the Q-statistic
Value
A list with two types of symbols. Permutation and Combinations-totals
p_symb | Matrix with symbols (permutations) |
c_symb | Matrix with symbols (combinations) |
References
Ruiz M, López FA, A Páez. (2010). Testing for spatial association of qualitative data using symbolic dynamics. Journal of Geographical Systems. 12 (3) 281-309
Author
| Fernando López | fernando.lopez@upct.es |
| Román Mínguez | roman.minguez@uclm.es |
| Antonio Páez | paezha@gmail.com |
| Manuel Ruiz | manuel.ruiz@upct.es |
Examples
# Example 1: Obtain symbols for k=2 classes and m-surroundings of size 5
symb25 <- cr_symb(2,5)
symb25$p_symb # Permutations symbols
#> [,1] [,2] [,3] [,4] [,5]
#> Perm1 1 1 1 1 1
#> Perm2 1 1 1 1 2
#> Perm3 1 1 1 2 1
#> Perm4 1 1 1 2 2
#> Perm5 1 1 2 1 1
#> Perm6 1 1 2 1 2
#> Perm7 1 1 2 2 1
#> Perm8 1 1 2 2 2
#> Perm9 1 2 1 1 1
#> Perm10 1 2 1 1 2
#> Perm11 1 2 1 2 1
#> Perm12 1 2 1 2 2
#> Perm13 1 2 2 1 1
#> Perm14 1 2 2 1 2
#> Perm15 1 2 2 2 1
#> Perm16 1 2 2 2 2
#> Perm17 2 1 1 1 1
#> Perm18 2 1 1 1 2
#> Perm19 2 1 1 2 1
#> Perm20 2 1 1 2 2
#> Perm21 2 1 2 1 1
#> Perm22 2 1 2 1 2
#> Perm23 2 1 2 2 1
#> Perm24 2 1 2 2 2
#> Perm25 2 2 1 1 1
#> Perm26 2 2 1 1 2
#> Perm27 2 2 1 2 1
#> Perm28 2 2 1 2 2
#> Perm29 2 2 2 1 1
#> Perm30 2 2 2 1 2
#> Perm31 2 2 2 2 1
#> Perm32 2 2 2 2 2
symb25$c_symb # Combinations-totals symbols
#> level1 level2
#> [1,] 5 0
#> [2,] 4 1
#> [3,] 3 2
#> [4,] 2 3
#> [5,] 1 4
#> [6,] 0 5