Software

Axis of

symmetry

Side

R|n₀, n₁

p_{1 tail}

p_{2 tails}

SPSS

E(R)

left: r ≤ E(R)

right: r > E(R)

P(2 ≤ R ≤ r)

P(r ≤ R ≤ Max(R))

r_{other side} ≥ |r − E(R)|

p_{other tail} = p_{1 tail} (r_{other side})

p_{2 tails} = p_{1 tail} + p_{other tail}

R

E(R)

left: r ≤ E(R)

right: r > E(R)

P(2 ≤ R ≤ r)

P(r ≤ R ≤ Max(R))

p_{2 tails} = 2 × p_{1 tail}

RSUE

Mdn(R)

left: r < Mdn(R)

P(2 ≤ R ≤ r)

p_{2 tails} = 2 × p_{1 tail}

right: r ≥ Mdn(R)

P(r ≤ R ≤ Max(R))

p_{2 tails} = 2 × (1 − p_{1 tail})

Proposal

Mdn(R)

left: r < Mdn(R)

right: r ≥ Mdn(R)

P(2 ≤ R ≤ r)

P(r ≤ R ≤ Max(R))

p_{other tail} ≥ p_{1 tail}*

p_{2 tails} = p_{1 tail} + p_{other tail}

r = Mdn(R)

P(R ≤ Mdn(R))

p_{oher tail} = 1 – P (R ≤ Mdn(R))

p_{2 tails} = p_{1 tail} + p_{oher tail} = 1