ΠΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°
ΠΡΠΎΠ²Π΅ΡΡΠΈ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°. ΠΠ°Π½Π° ΡΠ΅ΡΠΈΡ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ Π½Π° k ΡΡΠΎΠ²Π½ΡΡ (k = 12). Π§ΠΈΡΠ»ΠΎ ΠΏΠΎΠ²ΡΠΎΡΠ½ΡΡ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ nj Π΄Π»Ρ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΡΡΠΎΠ²Π½Ρ ΡΠ°ΠΊΡΠΎΡΠ° Π½Π΅ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²ΠΎ (nj = 17 Ρ 31). ΠΠ±ΡΠ΅Π΅ ΡΠΈΡΠ»ΠΎ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ N = 346. ΠΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΡ ΠΎΠ±ΡΡΡ Π²ΡΠ±ΠΎΡΠΎΡΠ½ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΡ, ΠΎΡΠ΅Π½ΠΊΡ Π³Π΅Π½Π΅ΡΠ°Π»ΡΠ½ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ, ΠΎΡΠ΅Π½ΠΊΡ ΡΠ°ΠΊΡΠΎΡΠ½ΠΎΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ. Π Π°ΡΡΡΠΈΡΠ°ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠ΅. ΠΡΠΏΠΎΠ»ΡΠ·ΡΡ ΡΠ°Π±Π»ΠΈΡΡ Π€ΠΈΡΠ΅ΡΠ°, ΠΎΠΏΡΠΎΠ²Π΅ΡΠ³Π½ΡΡΡ ΠΈΠ»ΠΈ… Π§ΠΈΡΠ°ΡΡ Π΅ΡΡ >
ΠΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ° (ΡΠ΅ΡΠ΅ΡΠ°Ρ, ΠΊΡΡΡΠΎΠ²Π°Ρ, Π΄ΠΈΠΏΠ»ΠΎΠΌ, ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½Π°Ρ)
ΠΠΈΠ½ΠΈΡΡΠ΅ΡΡΡΠ²ΠΎ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΈ Π½Π°ΡΠΊΠΈ Π ΠΎΡΡΠΈΠΉΡΠΊΠΎΠΉ Π€Π΅Π΄Π΅ΡΠ°ΡΠΈΠΈ Π€ΠΠΠΠ£ ΠΠΠ «Π£ΡΠ€Π£ ΠΈΠΌΠ΅Π½ΠΈ ΠΏΠ΅ΡΠ²ΠΎΠ³ΠΎ ΠΡΠ΅Π·ΠΈΠ΄Π΅Π½ΡΠ° Π ΠΎΡΡΠΈΠΈ Π.Π.ΠΠ»ΡΡΠΈΠ½Π°»
ΠΠ½ΡΡΠΈΡΡΡ ΡΠ°Π΄ΠΈΠΎΡΠ»Π΅ΠΊΡΡΠΎΠ½ΠΈΠΊΠΈ ΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΡΠ΅Ρ Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ — Π ΡΠ€ ΠΠ°ΡΠ΅Π΄ΡΠ° ΠΠ²ΡΠΎΠΌΠ°ΡΠΈΠΊΠΈ ΠΠ°ΠΎΡΠ½ΠΎΠ΅ ΠΎΡΠ΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΠΎΠ½ΡΡΠΎΠ»ΡΠ½Π°Ρ ΡΠ°Π±ΠΎΡΠ° ΠΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ° ΠΡΠ΅Π΄ΠΌΠ΅Ρ Π’Π΅ΠΎΡΠΈΡ ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠΎΠΌ ΠΌΠ°ΡΡΠΈΡΠ° ΡΡΠ½ΠΊΡΠΈΡ Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½Ρ ΠΠΊΠ°ΡΠ΅ΡΠΈΠ½Π±ΡΡΠ³ 2014
ΠΠ°Π΄Π°Π½ΠΈΠ΅ 1
ΠΠ°ΡΠΈΠ°Π½Ρ 8
ΠΠ»Ρ Π΄ΡΠΎΠ±Π½ΠΎΠ³ΠΎ ΡΠ°ΠΊΡΠΎΡΠ½ΠΎΠ³ΠΎ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ° N=qk ΠΏΡΠΈ N=42:
— Π‘ΠΎΡΡΠ°Π²ΠΈΡΡ ΠΌΠ°ΡΡΠΈΡΡ ΡΠΏΠ΅ΠΊΡΡΠ° ΠΏΠ»Π°Π½Π°.
— Π‘ΠΎΡΡΠ°Π²ΠΈΡΡ ΠΌΠ°ΡΡΠΈΡΡ Π±Π°Π·ΠΈΡΠ½ΡΡ ΡΡΠ½ΠΊΡΠΈΠΉ.
— Π‘ΠΎΡΡΠ°Π²ΠΈΡΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΠΌΠ°ΡΡΠΈΡΡ Π€ΠΈΡΠ΅ΡΠ°.
— ΠΠ°ΠΏΠΈΡΠ°ΡΡ Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌ ΠΏΠ»Π°Π½Π°.
— ΠΠ΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈ ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΡ ΠΎΠ±Π»Π°ΡΡΠΈ ΠΏΠ»Π°Π½ΠΈΡΠΎΠ²Π°Π½ΠΈΡ.
N=42=16 ΠΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΡΠ°ΠΊΡΠΎΡΠΎΠ² k=2
Π§ΠΈΡΠ»ΠΎ ΡΡΠΎΠ²Π½Π΅ΠΉ Π²Π°ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ°ΠΊΡΠΎΡΠΎΠ² q=4, ΡΠ°ΠΊΡΠΎΡΡ ΠΌΠΎΠ³ΡΡ ΠΏΡΠΈΠ½ΠΈΠΌΠ°ΡΡ Π·Π½Π°ΡΠ΅Π½ΠΈΡ -1,+1,+2,+3.
ΠΠ°ΡΡΠΈΡΠ° ΡΠΏΠ΅ΠΊΡΡΠ° ΠΏΠ»Π°Π½Π° N=qk (N=42)
i | x1 | x2 | |
— 1 | — 1 | ||
+1 | — 1 | ||
+2 | — 1 | ||
+3 | — 1 | ||
— 1 | +1 | ||
+1 | +1 | ||
+2 | +1 | ||
+3 | +1 | ||
— 1 | +2 | ||
+1 | +2 | ||
+2 | +2 | ||
+3 | +2 | ||
— 1 | +3 | ||
+1 | +3 | ||
+2 | +3 | ||
+3 | +3 | ||
Π‘ΠΎΡΡΠ°Π²ΠΈΠΌ ΠΌΠ°ΡΡΠΈΡΡ Π±Π°Π·ΠΈΡΠ½ΡΡ ΡΡΠ½ΠΊΡΠΈΠΉ N=42:
i | f (0)=1 | f (1)=x1 | f (2)=x2 | f (3)=x12 | f (4)=x1x2 | f (5)=x22 | f (6)=x13 | f (7)=x12x2 | |
+1 | — 1 | — 1 | +1 | +1 | +1 | — 1 | — 1 | ||
+1 | +1 | — 1 | +1 | — 1 | +1 | +1 | — 1 | ||
+1 | +2 | — 1 | +4 | — 2 | +1 | +8 | — 4 | ||
+1 | +3 | — 1 | +9 | — 3 | +1 | +27 | — 9 | ||
+1 | — 1 | +1 | +1 | — 1 | +1 | — 1 | +1 | ||
+1 | +1 | +1 | +1 | +1 | +1 | +1 | +1 | ||
+1 | +2 | +1 | +4 | +2 | +1 | +8 | +4 | ||
+1 | +3 | +1 | +9 | +3 | +1 | +27 | +9 | ||
+1 | — 1 | +2 | +1 | — 2 | +4 | — 1 | +2 | ||
+1 | +1 | +2 | +1 | +2 | +4 | +1 | +2 | ||
+1 | +2 | +2 | +4 | +4 | +4 | +8 | +8 | ||
+1 | +3 | +2 | +9 | +6 | +4 | +27 | +18 | ||
+1 | — 1 | +3 | +1 | — 3 | +9 | — 1 | +3 | ||
+1 | +1 | +3 | +1 | +3 | +9 | +1 | +3 | ||
+1 | +2 | +3 | +4 | +6 | +9 | +8 | +12 | ||
+1 | +3 | +3 | +9 | +9 | +9 | +27 | +27 | ||
i | f (8)=x1x22 | f (9)=x23 | f (10)=x13x2 | f (11)=x12x22 | f (12)=x1x23 | f (13)=x13x22 | f (14)=x12x23 | f (15)=x13x23 | |
— 1 | — 1 | +1 | +1 | +1 | — 1 | — 1 | +1 | ||
+1 | — 1 | — 1 | +1 | — 1 | +1 | — 1 | — 1 | ||
+2 | — 1 | — 8 | +4 | — 2 | +8 | — 4 | — 8 | ||
+3 | — 1 | — 27 | +9 | — 3 | +27 | — 9 | — 27 | ||
— 1 | +1 | — 1 | +1 | — 1 | — 1 | +1 | — 1 | ||
+1 | +1 | +1 | +1 | +1 | +1 | +1 | +1 | ||
+2 | +1 | +8 | +4 | +2 | +8 | +4 | +8 | ||
+3 | +1 | +27 | +9 | +3 | +27 | +9 | +27 | ||
— 4 | +8 | — 2 | +4 | — 8 | — 4 | +8 | — 8 | ||
+4 | +8 | +2 | +4 | +8 | +4 | +8 | +8 | ||
+8 | +8 | +16 | +16 | +16 | +32 | +32 | +64 | ||
+12 | +8 | +54 | +36 | +24 | +108 | +72 | +216 | ||
— 9 | +27 | — 3 | +9 | — 27 | — 9 | +27 | — 27 | ||
+9 | +27 | +3 | +9 | +27 | +9 | +27 | +27 | ||
+18 | +27 | +24 | +36 | +54 | +72 | +108 | +216 | ||
+27 | +27 | +81 | +81 | +81 | +243 | +243 | +729 | ||
ΠΠ°ΡΡΠΈΡΠ° Π€ΠΈΡΠ΅ΡΠ°:
Π€=FTF
Π Π΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½Π°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ (Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌ 3-Π³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ°):
y = b0 + b1x1 + b2x2 + b11x12 + b12x1x2 + b22x22 + b111x13 + b112x12x2 + b122x1x22 + b222x23 + b1112x13x2 + b1122x22x22 + b1222x1x23 + b11 122x23x22 + b11 222x22x23 + b111 222x13x23
ΠΠ±Π»Π°ΡΡΡ ΠΏΠ»Π°Π½ΠΈΡΠΎΠ²Π°Π½ΠΈΡ:
ΠΠ°Π΄Π°Π½ΠΈΠ΅ 2
ΠΡΠΎΠ²Π΅ΡΡΠΈ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°. ΠΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΡ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½Ρ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΈ, ΠΎΡΠ΅Π½ΠΈΡΡ ΡΠΎΡΠ½ΠΎΡΡΡ ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠΈ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ.
ΠΠΎΡΡΡΠΎΠΈΡΡ Π³ΡΠ°ΡΠΈΠΊ.
Π§ΠΈΡΠ»ΠΎ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ n = 31.
ΠΠ°ΡΠΈΠ°Π½Ρ 8 | |||
n | X | Y | |
ΠΠΎΡΡΡΠΈΡΠΈΠ΅Π½Ρ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΈ:
ΠΡΠ²ΠΎΠ΄Ρ:
— Π‘Π»ΡΡΠ°ΠΉ 0<<1 ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΠ΅Ρ Π½Π°Π»ΠΈΡΠΈΡ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΈ Ρ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΠ΅ΠΌ.
— Π‘Π²ΡΠ·Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΠΏΡΠΈΠ·Π½Π°ΠΊΠ°ΠΌΠΈ ΠΏΠΎ ΡΠΊΠ°Π»Π΅ Π§Π΅Π΄Π΄ΠΎΠΊΠ° — Π·Π°ΠΌΠ΅ΡΠ½Π°Ρ (0.5 — 0.7)
ΠΠ°Π΄Π°Π½ΠΈΠ΅ 3
ΠΡΠΎΠ²Π΅ΡΡΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°. ΠΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΡ ΡΡΠ½ΠΊΡΠΈΡ ΠΎΡΠΈΠ±ΠΊΠΈ, ΡΡΠ΅Π΄Π½Π΅ΠΊΠ²Π°Π΄ΡΠ°ΡΠΈΡΠ½ΠΎΠ΅ ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΠ΅, ΠΌΠ΅ΡΡ ΠΎΡΠΈΠ±ΠΊΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ. ΠΠΎΡΡΡΠΎΠΈΡΡ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΡΡ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΈ ΠΌΠ΅ΡΡ ΠΎΡΠΈΠ±ΠΊΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ.
ΠΠ°ΡΠΈΠ°Π½Ρ 12 | Π²ΡΠΏΠΎΠΌΠΎΠ³Π°ΡΠ΅Π»ΡΠ½ΡΠ΅ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ | |||||||
n | x | y | x.y | x2 | ||||
2,23 | 2,904 | 6,476 | 4,973 | 3.5268 | ?0.1548 | 0.024 | ||
1,60 | 2,546 | 4,074 | 2,560 | 3.4013 | 0.2107 | 0.0444 | ||
1,60 | 2,482 | 3,971 | 2,560 | 3.3898 | 0.4312 | 0.1859 | ||
0,00 | 2,659 | 0,000 | 0,000 | 3.3816 | 0.8294 | 0.6879 | ||
2,87 | 2,593 | 7,442 | 8,237 | 3.4136 | ?0.3146 | 0.099 | ||
0,75 | 2,772 | 2,079 | 0,563 | 3.377 | 0.129 | 0.0166 | ||
0,60 | 2,784 | 1,670 | 0,360 | 3.3802 | ?0.2002 | 0.0401 | ||
3,48 | 2,431 | 8,460 | 12,110 | 3.3512 | 0.3458 | 0.1196 | ||
4,07 | 2,628 | 10,696 | 16,565 | 3.3516 | 0.1064 | 0.0113 | ||
0,88 | 2,598 | 2,286 | 0,774 | 3.3796 | 0.2744 | 0.0753 | ||
0,78 | 2,866 | 2,235 | 0,608 | 3.3589 | 0.1141 | 0.013 | ||
8,80 | 2,832 | 24,922 | 77,440 | 3.3546 | ?0.1246 | 0.0155 | ||
3,60 | 2,825 | 10,170 | 12,960 | 3.3494 | ?0.0444 | 0.002 | ||
1,07 | 2,814 | 3,011 | 1,145 | 3.3494 | 0.0406 | 0.0016 | ||
3,82 | 2,550 | 9,741 | 14,592 | 3.3597 | ?0.5547 | 0.3077 | ||
0,52 | 2,728 | 1,419 | 0,270 | 3.3631 | ?0.1531 | 0.0234 | ||
2,40 | 3,013 | 7,231 | 5,760 | 3.3561 | ?0.0951 | 0.009 | ||
1,73 | 2,614 | 4,522 | 2,993 | 3.3895 | ?0.1245 | 0.0155 | ||
1,87 | 2,544 | 4,757 | 3,497 | 3.3494 | 0.1776 | 0.0315 | ||
2,35 | 2,979 | 7,001 | 5,523 | 3.3618 | ?0.0748 | 0.0056 | ||
1,23 | 2,892 | 3,557 | 1,513 | 3.3494 | ?0.8184 | 0.6697 | ||
5,02 | 2,561 | 12,856 | 25,200 | |||||
51,27 | 59,615 | 138,576 | 200,204 | -; | -; | 2.3988 | ||
ΠΠ΅Π»Π°Π΅ΠΌ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠ΅, ΡΡΠΎ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ° Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π² Π²ΠΈΠ΄Π΅ ΠΏΡΡΠΌΠΎΠΉ Π»ΠΈΠ½ΠΈΠΈ.
ΠΡΠΊΠΎΠΌΠΎΠ΅ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠ΅ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΈ ΠΈΠΌΠ΅Π΅Ρ Π²ΠΈΠ΄:
ΠΡΠΈΠ±ΠΊΠ° ei, Π΄Π»Ρ ΠΊΠ°ΠΆΠ΄ΠΎΠΉ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠΎΡΠΊΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ ΠΊΠ°ΠΊ ΡΠ°ΡΡΡΠΎΡΠ½ΠΈΠ΅ ΠΏΠΎ Π²Π΅ΡΡΠΈΠΊΠ°Π»ΠΈ ΠΎΡ ΡΡΠΎΠΉ ΡΠΎΡΠΊΠΈ Π΄ΠΎ Π»ΠΈΠ½ΠΈΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΈ
ei = =
Π€ΡΠ½ΠΊΡΠΈΡ ΠΎΡΠΈΠ±ΠΊΠΈ:
ΠΠ±ΡΡΠ½ΠΎ ΠΌΠ΅ΡΠΎΠΉ ΠΎΡΠΈΠ±ΠΊΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠ»ΡΠΆΠΈΡ ΡΡΠ΅Π΄Π½Π΅Π΅ ΠΊΠ²Π°Π΄ΡΠ°ΡΠΈΡΠ½ΠΎΠ΅ ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΠ΅:
ΠΠ»Ρ Π½ΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΡ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΡΠΈΠ±Π»ΠΈΠ·ΠΈΡΠ΅Π»ΡΠ½ΠΎ 80% ΡΠΎΡΠ΅ΠΊ Π½Π°Ρ ΠΎΠ΄ΠΈΡΡΡ Π² ΠΏΡΠ΅Π΄Π΅Π»Π°Ρ ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΡ ΡΠ΅ ΠΎΡ Π»ΠΈΠ½ΠΈΠΈ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΈ ΠΈ 90% - Π² ΠΏΡΠ΅Π΄Π΅Π»Π°Ρ 2ΡΠ΅
ΠΠ°Π΄Π°Π½ΠΈΠ΅ 4
ΠΡΠΎΠ²Π΅ΡΡΠΈ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°. ΠΠ°Π½Π° ΡΠ΅ΡΠΈΡ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ Π½Π° k ΡΡΠΎΠ²Π½ΡΡ (k = 12). Π§ΠΈΡΠ»ΠΎ ΠΏΠΎΠ²ΡΠΎΡΠ½ΡΡ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ nj Π΄Π»Ρ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΡΡΠΎΠ²Π½Ρ ΡΠ°ΠΊΡΠΎΡΠ° Π½Π΅ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²ΠΎ (nj = 17 Ρ 31). ΠΠ±ΡΠ΅Π΅ ΡΠΈΡΠ»ΠΎ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ N = 346. ΠΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΡ ΠΎΠ±ΡΡΡ Π²ΡΠ±ΠΎΡΠΎΡΠ½ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΡ, ΠΎΡΠ΅Π½ΠΊΡ Π³Π΅Π½Π΅ΡΠ°Π»ΡΠ½ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ, ΠΎΡΠ΅Π½ΠΊΡ ΡΠ°ΠΊΡΠΎΡΠ½ΠΎΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ. Π Π°ΡΡΡΠΈΡΠ°ΡΡ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠ΅. ΠΡΠΏΠΎΠ»ΡΠ·ΡΡ ΡΠ°Π±Π»ΠΈΡΡ Π€ΠΈΡΠ΅ΡΠ°, ΠΎΠΏΡΠΎΠ²Π΅ΡΠ³Π½ΡΡΡ ΠΈΠ»ΠΈ ΠΏΡΠΈΠ½ΡΡΡ Π½ΡΠ»Π΅Π²ΡΡ Π³ΠΈΠΏΠΎΡΠ΅Π·Ρ ΠΏΡΠΈ ΡΡΠΎΠ²Π½Π΅ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ Π³ = 5%.
n | k1 | k2 | k3 | k4 | k5 | k6 | k7 | k8 | k9 | k10 | k11 | k12 | |
0,715 | 1,641 | 2,111 | 0,923 | 0,555 | 2,281 | 1,032 | 1,826 | 1,304 | 1,975 | 1,864 | 0,988 | ||
0,985 | 1,868 | 2,256 | 2,136 | 0,875 | 1,154 | 1,985 | 1,922 | 1,727 | 1,980 | 1,717 | 0,689 | ||
1,121 | 1,959 | 1,253 | 2,162 | 0,970 | 1,055 | 1,625 | 1,799 | 1,609 | 1,773 | 0,864 | 1,552 | ||
0,933 | 1,017 | 1,143 | 2,194 | 0,880 | 1,887 | 1,844 | 1,028 | 1,535 | 1,839 | 0,771 | 1,679 | ||
1,061 | 0,892 | 1,931 | 2,292 | 0,848 | 1,902 | 1,855 | 0,922 | 1,715 | 1,818 | 0,910 | 2,011 | ||
0,999 | 1,728 | 2,217 | 2,188 | 0,784 | 2,038 | 1,919 | 1,694 | 2,150 | 0,883 | 1,686 | 1,736 | ||
0,987 | 2,016 | 2,363 | 1,135 | 0,437 | 1,812 | 1,164 | 1,716 | 2,078 | 0,769 | 1,841 | 1,810 | ||
0,994 | 2,195 | 0,940 | 1,257 | 0,571 | 2,073 | 0,946 | 1,864 | 2,418 | 1,853 | 1,533 | 0,954 | ||
1,274 | 1,924 | 0,970 | 1,931 | 0,884 | 2,117 | 1,758 | 1,633 | 2,062 | 1,640 | 1,633 | 0,674 | ||
1,967 | 2,135 | 1,139 | 2,028 | 0,805 | 1,276 | 1,888 | 1,763 | 2,083 | 1,980 | 0,909 | 1,883 | ||
1,690 | 1,182 | 1,752 | 2,122 | 0,900 | 0,984 | 1,711 | 0,996 | 2,164 | 1,744 | 0,950 | 1,692 | ||
1,806 | 1,101 | 2,025 | 2,144 | 0,872 | 1,060 | 1,844 | 0,773 | 1,991 | 1,832 | 1,853 | 1,818 | ||
1,946 | 1,939 | 2,046 | 2,196 | 0,775 | 1,870 | 1,793 | 1,818 | 1,880 | 1,960 | 1,826 | 1,498 | ||
1,103 | 2,058 | 2,117 | 1,191 | 0,802 | 1,850 | 1,018 | 1,848 | 1,551 | 1,904 | 1,711 | 1,420 | ||
1,097 | 1,817 | 2,161 | 1,084 | 0,838 | 2,162 | 1,073 | 1,740 | 1,792 | 1,784 | 1,842 | 0,777 | ||
2,103 | 1,996 | 2,131 | 2,210 | 0,935 | 1,170 | 1,717 | 1,870 | 1,069 | 1,794 | 1,677 | 0,859 | ||
2,067 | 1,764 | 0,994 | 2,165 | 0,877 | 1,317 | 1,815 | 1,906 | 1,014 | 1,948 | 1,176 | 1,721 | ||
2,211 | 1,160 | 0,992 | 2,106 | 0,951 | 1,915 | 1,785 | 1,403 | 1,064 | 0,729 | 1,678 | |||
2,080 | 0,849 | 2,237 | 2,055 | 0,875 | 1,904 | 1,787 | 1,236 | 0,807 | 1,934 | 1,715 | |||
2,055 | 1,858 | 2,144 | 2,379 | 0,799 | 1,751 | 1,914 | 1,854 | 2,099 | 1,865 | 1,777 | |||
1,067 | 2,023 | 2,167 | 1,250 | 1,805 | 1,902 | 1,171 | 2,060 | 2,173 | 1,763 | 2,031 | |||
1,088 | 2,042 | 2,277 | 1,264 | 1,912 | 1,955 | 1,437 | 1,926 | 1,157 | 1,736 | 1,078 | |||
1,871 | 1,283 | 2,032 | 2,049 | 1,873 | 1,144 | 1,713 | 1,846 | 1,673 | 1,667 | 0,823 | |||
2,040 | 1,774 | 1,218 | 2,232 | 2,318 | 0,956 | 1,859 | 1,749 | 1,919 | 0,950 | 1,591 | |||
1,891 | 1,188 | 0,901 | 2,000 | 1,930 | 2,041 | 1,821 | 1,100 | 0,888 | 1,783 | ||||
1,857 | 1,568 | 2,070 | 2,050 | 1,284 | 1,819 | 1,931 | 1,023 | 1,552 | 1,816 | ||||
2,123 | 1,895 | 2,078 | 2,344 | 0,877 | 2,068 | 1,921 | 1,795 | 1,751 | 1,885 | ||||
1,098 | 1,956 | 2,188 | 2,122 | 2,047 | 1,877 | 0,791 | 1,952 | 1,720 | 1,852 | ||||
1,056 | 1,610 | 2,224 | 0,668 | 1,997 | 1,936 | 0,939 | 1,694 | 1,928 | 1,804 | ||||
1,870 | 2,128 | 0,488 | 1,749 | 1,035 | 1,790 | 1,975 | 1,690 | 1,174 | |||||
1,817 | 1,052 | 2,093 | 1,687 | 1,980 | 0,840 | ||||||||
Π‘ΠΠ = 10,319
Π‘ΠΠ = 68,014
(ΠΡΠ΅Π½ΠΊΠ° ΡΠ°ΠΊΡΠΎΡΠ½ΠΎΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ)
(ΠΡΠ΅Π½ΠΊΠ° Π³Π΅Π½Π΅ΡΠ°Π»ΡΠ½ΠΎΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ) ΠΠ±ΡΠ°Ρ Π²ΡΠ±ΠΎΡΠΎΡΠ½Π°Ρ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΡ Π²ΡΠ΅Ρ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ ΡΠ°Π²Π½Π° ΠΠΈΡΠΏΠ΅ΡΡΠΈΠΎΠ½Π½ΠΎΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠ΅:
(ΠΡΠΈΡΠ΅ΡΠΈΠΉ ΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ)
FΡΠ΅ΠΎΡ (0,05;11;334) = 2,498 FΡΠ°ΡΡΠ΅ΡΠ½ΠΎΠ΅ > FΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅,
ΠΡΠ²ΠΎΠ΄: Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ°ΠΊΡΠΎΡΠ° Π½Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π±ΡΠ΄Π΅Ρ Π·Π½Π°ΡΠΈΠΌΡΠΌ, Π½ΡΠ»Π΅Π²ΡΡ Π³ΠΈΠΏΠΎΡΠ΅Π·Ρ H0 ΠΎΡΠ²Π΅ΡΠ³Π°Π΅ΠΌ.