Signed ranks of paired differences (Gibbons Ch 5.5)

Signed ranks R_i^+ = sign(D_i) * rank(|D_i|) used by Wilcoxon signed-rank.

Usage

morie_rank_order_statistics(x, mu0 = 0)

Arguments

x

Numeric vector of differences (or values; mu0 is subtracted).

mu0

Hypothesised median (default 0).

Value

Named list: signed_ranks, abs_ranks, W_plus, W_minus, n_nonzero, n.

Examples

set.seed(1)
morie_rank_order_statistics(x = rnorm(50))
#> $signed_ranks
#>  [1] -28  11 -38  48  14 -36  22  32  24 -13  47  17 -27 -50  43  -2  -1  41  37
#> [20]  25  40  35   6 -49  26  -4  -9 -46 -21  20  44  -7  16  -3 -45 -19 -18  -5
#> [39]  42  33 -10 -12  30  23 -29 -31  15  34  -8  39
#> 
#> $abs_ranks
#>  [1] 28 11 38 48 14 36 22 32 24 13 47 17 27 50 43  2  1 41 37 25 40 35  6 49 26
#> [26]  4  9 46 21 20 44  7 16  3 45 19 18  5 42 33 10 12 30 23 29 31 15 34  8 39
#> 
#> $W_plus
#> [1] 764
#> 
#> $W_minus
#> [1] 511
#> 
#> $n_nonzero
#> [1] 50
#> 
#> $n
#> [1] 50
#> 
#> $method
#> [1] "Rank-order signed ranks"
#>