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

morie_rank_order_statistics(x = rnorm(50))
#> $signed_ranks
#>  [1] -44 -15 -34  14  25 -24 -21 -38 -17 -27 -31   3 -48  46  -5  39  20   1  50
#> [20] -43  -8  22  35 -28  10  -4  47   9  32  18 -11  29  45  -7  33 -30 -26 -40
#> [39] -19 -49 -23  41  13 -16  42  -6 -36 -12   2 -37
#> 
#> $abs_ranks
#>  [1] 44 15 34 14 25 24 21 38 17 27 31  3 48 46  5 39 20  1 50 43  8 22 35 28 10
#> [26]  4 47  9 32 18 11 29 45  7 33 30 26 40 19 49 23 41 13 16 42  6 36 12  2 37
#> 
#> $W_plus
#> [1] 576
#> 
#> $W_minus
#> [1] 699
#> 
#> $n_nonzero
#> [1] 50
#> 
#> $n
#> [1] 50
#> 
#> $method
#> [1] "Rank-order signed ranks"
#>