, , , (, : 1, 2, 3 ..). , . 2×2, , . . , , , ( ).
75.
5 | 5 10 | > 10 | ||
40 | n111 | n211 | ||
4060 | n112 | n212 | ||
> 60 | n113 | n213 | ||
40 | n121 | n221 | ||
4060 | n122 | n222 | ||
> 60 | n123 | n223 |
(i =1,2,3), (j =1,2), (k =1,2,3).
:
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λ , , ( ).
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STATISTICA . . ()
76.
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77.
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Nonlinear Estimation, Statistics Advanced Linear/Nonlinear Models (/ ). Nonlinear Estimation ( ), LogLinear analysis of Frequency Tables ( ) .
input file Raw Data, , Variables: (). . LogLinear model specification , 1, 2, 3, 4, () 5.
Tests of Marginal and Partial Association ( ), . Results of Fitting all KFactor Interactions, . ( 78).
78.
Results of Fitting all KFactor Interactions These are simultaneous tests that all KFactor Interactions are simultaneously Zero. | |||||
Degrs.of Freedom ( ..) | Max.Lik.Chisqu.( . ) | Probab.p () | Pearson Chisqu ( ) | Probab.p () | |
KFactor | |||||
1 | 5 | 704,4 | 0,000 | 1548 | 0,000 |
2 | 10 | 206,2 | 0,000 | 237 | 0,000 |
3 | 10 | 6,7 | 0,754 | 6 | 0,798 |
4 | 5 | 4,3 | 0,511 | 4 | 0,527 |
5 | 1 | 0,9 | 0,342 | 1 | 0,344 |
=1 2 <0,05, .. , 3, 4 5 .
Tests of Marginal and Partial Association ( ) ( 79). , 9 (<0,05 ).
79.
tests of Marginal and Partial Association | |||||
Effect | Degrs.of Freedom ( ..) | Prt.Ass. Chisqr. ( ., ) | Prt.Ass. P ( ., ) | Mrg.Ass. Chisqr. ( ., ) | Mrg.Ass. P ( ., ) |
1 | 1 | 209,8 | 0,000 | 209,8 | 0,000 |
2 | 1 | 141,4 | 0,000 | 141,4 | 0,000 |
3 | 1 | 178,2 | 0,000 | 178,2 | 0,000 |
4 | 1 | 74,3 | 0,000 | 74,3 | 0,000 |
5 | 1 | 100,7 | 0,000 | 100,7 | 0,000 |
12 | 1 | 69,5 | 0,000 | 69,5 | 0,000 |
13 | 1 | 1,3 | 0,257 | 0,3 | 0,576 |
14 | 1 | 0,0 | 0,874 | 0,8 | 0,383 |
15 | 1 | 0,2 | 0,631 | 0,0 | 0,825 |
23 | 1 | 2,8 | 0,092 | 1,5 | 0,221 |
24 | 1 | 10,6 | 0,001 | 10,9 | 0,001 |
25 | 1 | 0,3 | 0,585 | 0,3 | 0,567 |
34 | 1 | 0,3 | 0,593 | 3,2 | 0,076 |
35 | 1 | 8,5 | 0,004 | 11,7 | 0,001 |
45 | 1 | 106,5 | 0,000 | 109,6 | 0,000 |
123 | 1 | 0,9 | 0,346 | 1,3 | 0,263 |
124 | 1 | 0,1 | 0,758 | 0,3 | 0,577 |
125 | 1 | 1,6 | 0,201 | 2,3 | 0,128 |
134 | 1 | 0,0 | 0,880 | 0,0 | 0,899 |
135 | 1 | 0,6 | 0,440 | 0,8 | 0,384 |
145 | 1 | 0,7 | 0,396 | 0,2 | 0,653 |
234 | 1 | 1,0 | 0,322 | 1,1 | 0,289 |
235 | 1 | 0,0 | 0,873 | 0,3 | 0,615 |
245 | 1 | 0,1 | 0,702 | 0,0 | 0,840 |
345 | 1 | 0,9 | 0,341 | 0,7 | 0,392 |
1234 | 1 | 0,6 | 0,449 | 0,6 | 0,457 |
1235 | 1 | 0,1 | 0,750 | 0,9 | 0,345 |
1245 | 1 | 0,2 | 0,665 | 0,4 | 0,550 |
1345 | 1 | 2,7 | 0,098 | 2,7 | 0,099 |
2345 | 1 | 0,0 | 0,978 | 0,1 | 0,722 |
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( 5) 35 45.
(%) ( 80).
80.
Effect | Degrs.of Freedom | Prt.Ass. Chisqr. | Prt.Ass. p | % |
5 | 1 | 100,7 | 0,000 | 47 |
35 | 1 | 8,5 | 0,004 | 4 |
45 | 1 | 106,5 | 0,000 | 49 |
Σ=215,7 |
.. 49% , 4% 47% , .
LogLinear model specification . ( 81).
81.
Table to be analyzed: (1) (2) (3) (4) (5) . . 2 x 2 x 2 x 2 x 2 Minimum cell frequency: 1, Maximum: 188, Sum: 607, Model to be tested: 21,53,42,54 Delta:,5000; Maximum iterations: 50; Conv. criterion:,0100 Convergence reached after 2 iterations df p Maximum Likelihood Chisquare: 16,269 22,80231 Pearson Chisquare: 15,922 22,81976 |
, 21, 53, 42, 54. . . .. =0,8 (..>0.05) .
, 2×2 . Observed table ( ) , , . 8 , ( 82)
82.
Obs. Freq. (+delta): by () w/in vars: :1 () ..:1 () . .:1 () | |||
1 () | 2 () | Total | |
1 () | 32,5 | 45,5 | 78 |
2 () | 188,5 | 35,5 | 224 |
Total | 221,0 | 81,0 | 302 |
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, , 224/78=2,9 , . 45,5/35,5=1,3 , .
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Fitted table ( ). 83
83.
Fitted Freq.: . . by w/in vars: () :1 ..:1 ():1 | |||
. . 1 () | . . 2 () | Total | |
1 () | 22,1 | 45,0 | 67,1 |
2 () | 38,8 | 9,7 | 48,5 |
Total | 60,9 | 54,7 | 115,6 |
, , , 22,1/60,9*100%=36%, 64%.