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• No es compleix la c.a. de la t Student<br />

de grups independents).<br />

• Variable quantitativa mesurada en<br />

escala ordinal<br />

1r. Plantejament de les hipòtesis<br />

estadístiques:<br />

H 0: Md 1 = Md 2<br />

H 1: Md 1 ≠ Md 2<br />

H 0: Md 1 ≤ Md 2<br />

H 1: Md 1 > Md 2<br />

H 0: Md 1 ≥ Md 2<br />

H 1: Md 1 < Md 2<br />

2n. Fixar α<br />

Bilateral<br />

Unilateral<br />

dreta<br />

Unilateral<br />

esquerra<br />

3r Càlcul estadístic de contrast<br />

U de Mann-Whitney<br />

( n + 1)<br />

1 1<br />

U1 = n1n2<br />

+ −<br />

n<br />

2<br />

R<br />

1<br />

4t. Prendre decisió:<br />

• Taules de la U de Mann-Whitney<br />

Si U max > U s(α, n, n) → Rebutjo H 0 → p<br />

Si U man ≤ U s(α, n, n) → No rebutjo H 0→NC<br />

• Taules de la llei normal (n 1 i n 2 > 10)<br />

Si z >z α → Rebutjo H 0 → p<br />

Si z ≤ z α → No rebutjo H 0 → NC<br />

5è. Conclusions<br />

( n + 1)<br />

2 2<br />

U 2 = n1n2<br />

+ −<br />

Z<br />

=<br />

n<br />

1<br />

U<br />

n<br />

2<br />

n<br />

max<br />

−<br />

2<br />

R<br />

( n + n + 1)<br />

1<br />

n<br />

12<br />

1<br />

2<br />

n<br />

2<br />

2<br />

2<br />

U + U =<br />

1<br />

2<br />

n<br />

Si n 1 i n 2 > 10<br />

1<br />

· n<br />

2

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