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] -25  41  40  35  48  26 -43 -27 -42 -20 -29   2 -39   7 -33  50  37  38  17
#> [20]  49 -30 -19  45 -31 -10 -18 -15 -12  21  -8 -22  44 -11  -9  -6  36  -5  -1
#> [39] -34 -16   4 -28  24 -46  14 -47 -13 -23 -32  -3
#> 
#> $abs_ranks
#>  [1] 25 41 40 35 48 26 43 27 42 20 29  2 39  7 33 50 37 38 17 49 30 19 45 31 10
#> [26] 18 15 12 21  8 22 44 11  9  6 36  5  1 34 16  4 28 24 46 14 47 13 23 32  3
#> 
#> $W_plus
#> [1] 578
#> 
#> $W_minus
#> [1] 697
#> 
#> $n_nonzero
#> [1] 50
#> 
#> $n
#> [1] 50
#> 
#> $method
#> [1] "Rank-order signed ranks"
#>