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A. Juriˇsić in V. Batagelj: Verjetnostni račun in statistika 303 ✬ ✫ Porazdelitve vzorčnih statistik Denimo, da je v populaciji N enot in da iz te populacije slučajno izbiramo n enot v enostavni slučajni vzorec ali na kratko slučajni vzorec (vsaka enota ima enako verjetnost, da bo izbrana v vzorec, tj. 1/N). Če hočemo dobiti slučajni vzorec, moramo izbrane enote pred ponovnim izbiranjem vrniti v populacijo (vzorec s ponavljanjem). Če je velikost vzorca v primerjavi s populacijo majhna, se ne pregreˇsimo preveč, če imamo za slučajni vzorec tudi vzorec, ki nastane s slučajnim izbiranjem brez vračanja. Univerza v Ljubljani ▲ ❙ ▲ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ✩ ✪
A. Juriˇsić in V. Batagelj: Verjetnostni račun in statistika 304 ✬ Predstavljajmo si, da smo iz populacije izbrali vse moˇzne vzorce. Dobili smo populacijo vseh moˇznih vzorcev. Teh je v primeru enostavnih slučajnih vzorcev (s ponavljanjem) N n ; kjer je N ˇstevilo enot v populaciji in n ˇstevilo enot v vzorcu. ˇStevilo slučajnih vzorcev brez ponavljanja pa je N n , če ne upoˇstevamo vrstnega reda izbranih enot v vzorcu, oziroma N+n−1 n , če upoˇstevamo vrstni red. ✫ Univerza v Ljubljani ▲ ❙ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ▲ ✩ ✪
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✬ ✫ Ljubljana, 6. oktober 2008
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