Tsu-2011 - ieeetsu

hipoTezis Semowmeba puasonis populaciis parametris
Sesaxeb (mcire moculobis SerCevebisaTvis):
puasonis populaciis parametris Sesaxeb hipoTezis Semowmebisas
mcire moculobis SerCevis SemTxvevaSi, iyeneben P -mniSvnelobis meTods.
hipoTeza: H0:
0
H :
alternativa:
1 0
mniSvnelovnebis done:
kriteriumis statistika: Po( 0
)
kriteriumis mniSvneloba T.V.: (puasonis SemTxveviTi sididis dakvirvebuli
mniSvneloba)
P - mniSvneloba:
k
0 0
2 P{
| H0} 2
e
, Tu 0;
k0
k!
P
1 k
0 0
2 P{ | H0} 2 (1
e
), Tu 0.
k0
k!
Tu P , maSin amboben, rom Sedegi (laparakia -ze) statistikurad
mniSvnelovania da H
0
hipoTezas uaryofen, winaaRmdeg SemTxvevaSi
ki – is statistikurad umniSvneloa da nulovan hipoTezas ar uaryofen.
didi moculobis SemTxvevaSi aqac iyeneben normalur aproqsimacias,
kerZod, im faqts, rom
2 2 2
( ) / [ N(0,1)] (1) .
0 0
magaliTebis amoxsnis nimuSebi:
magaliTi 1. davuSvaT Catarebulia 50 damoukidebeli eqsperimenti, А
xdomilebis moxdenis fardobiTi sixSire aRmoCnda 0.12. mniSvnelovnebis α
= 0.01 donisaTvis SevamowmoT nulovani Н 0 : р = 0.1 hipoTeza alternatiuli
Н 1 : р > 0.1 hipoTezis winaaRmdeg.
amoxsna. vipovoT kriteriumis mniSvneloba
(0.12 0.1) 50
z
0.471.
0.1
0.9
kritikuli are iqneba marjvena calmxrivi, xolo kritikuli mniSvneloba
unda vipovoT pirobidan
( CV . .) 10.01 0.99 .
normaluri ganawilebis funqciis cxrilidan vpoulobT, rom z 2.33 .
vinaidan, z z , amitom miiReba hipoTeza imis Sesaxeb, rom p 0.1.
magaliTi 2. ganaTlebis inspeqtoris SefasebiT maRali klasis
moswavleebis 15% tovebs skolas. gasul wels, SemTxveviT SerCeuli
maRali klasis 200 moswavlidan 38-ma datova skola. 0.05 mniSvnel-
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