Tying up the loose ends in simple correspondence analysis
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9 L,. T 11 9, 9 :, , S / = T,,. E,, -,,. I,. I,, --,. O,,,. 5. T M CA, -,. F, R (1995:.45) -,. L (001:. 71),. M,. I I, CA,,, CA. I,. W CA,. B CA,. T CA I CA. B. F, : (0.07%), (0.08%), (0.08%) (0.1%), 9
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11 1 1 + = σ σ (8) T [ 1, ] [ 1, ], σ 1 σ. I : 1 = σ γ 1 1 = σ γ 1 γ 1 γ 1 = σ 1 1 = σ.., γ (1 γ). G (006) γ-. I : () γ = 1,.. ( S ), - (RMP) G (1971); () γ = 0,.., -- (CMP): (RMP): [ 1, ] = [σ 1 1,σ ] [ 1, ] = [ 1, ] (CMP): [ 1, ] = [ 1, ] [ 1, ] = [σ 1 1,σ ] I E M ( RMP ), ( CMP ). W, (A G 00). A,, (.., γ=½), RMP CMP. I,, RMP CMP γ-,, : (RMP & CMP): [ 1, ] = [σ 1 1,σ ] [ 1, ] = [σ 1 1,σ ] T, -- --, : ( σ ) ( ) = σ = σ. W,, --, (,, R ). I, (.., ),, (.., ),. A,,, 11
12 ( ). T ( G O 1990, G 1993, G H 1996). T CA,. T SVD CA, () (7) S, (8), : α +α (9) O (9) /( ) 1; (3) ( = 1,) X Y (6) (7). H, X, F (4), CA, RMP -. O, Y,, CMP -. I, F 1, -,. C, SPSS C, I, F Bé Bé F. N G (00),,. T CA. T CA, ( ): [ ], [ ],. F,,. T CA. T α CA 1, (,, G, 1984). A, 1
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14 ,, (10) : ( α 11)( 1) + ( α )( ) (11) ( - SVD). T (11) [α 1 1, α ] [ 1, ]. T F 5. N, (),,. T CA,, G & O (1990). B F 5,,, (11),. A (10) (11) : 1/ ( )( 1/ ) ( )( 1/ α α ) (1),. T F 6. M, F 6,,, ( - - ). T - (G 1993, 1993, A G 00),. I F 7,, (1): 1/ ( 1/ )( ) ( 1/ 1 α )( α ) (13) I F 6 7. S, CA. I 14
15 () F 6, () F 7. I, CA -. H. N : F 6 F 6 ( ), F 7 F 7 ( ). A,,,,, T T,?. R CA,, : ()? () CA, CA? F,? T,,. T,. I CA,. T,,,. T PCA/ CA. A,, CA, [1... ] : Σ = 1,. R, PCA/,. F - 15
16 . I ( F 3 6). H,,,, MCA. F, F 8 MCA 10. A,. S, -. T,,,? V V (000) V K (005),. I. I (..,, ),,. T (. PCA/ ). T, (). A,, :. T (,, A, 004), - PCA,. A CA, - -. T, :, J : 1 ( ~ ~ ) (14) J 16
17 ~ ~, (, )- Y = YQ, Q. N 1/. S ~ = ( ~ ),, : () 1 /, CA S 6. T. 8. S CA,. I,,, (L 1976, G 1984: S 8.1 ). I, (9), (G H 1986). I,, G (1984). I,,,. H. W ( ),? S. T CA. T λ = α -,,. I,. O :, - S 5. G (1984),. 17
18 E,. I,,. I,,. L,,. M (198) G (1984), N,, N T. H N,. G (1984), - N ; L (006). T, M (198) - CA,, P,, P. F 9 100, 100,. R, :. F 10. S,,. F I F %. T 95%, 5% (, ). T,. C 95% ( ), ( S R 1981: , M C, 1996). F 1 95%. T,. W, (,, G (1993)), 18
19 ,. I,. C. A - S T (1980),. G (1990: ),. T,,. A, (F 13). C F 1,,. T,,. F,, ( ) (). F, F 1,? O 1 1 F 1,,. I, 10000, ( F 1) --,, P< S I CA,,. I I. () C :,, - CA. 19
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21 R ADACHI, K. (004). O P. B 31, 1 1. AITCHISON, J. GREENACRE, M.J. (00). B. A S 51, GABRIEL, K.R. (1971). T -. B 58, GABRIEL, K.R. (00). G. B 89, GABRIEL, K.R. ODOROFF, C.L. (1990). B, S M 9, GIFI, A. (1990). N M A. C, UK: W GILULA, Z. HABERMAN, S J. (1986). C. J A S A 81, GOWER, J.C. HAND, D.J. (1996). B. L: C H. GOWER, J.C. (006). D : -. I M.J. G J. B (), M C A R M, L: C H,. GREENACRE, M.J. (1984). T A C A. L: A P. GREENACRE, M.J. (1993). B. J A S 0, GREENACRE, M.J. (1993). C A P. L: A P. GREENACRE, M.J. (00). C S. G S 16, GREENACRE, M.J. (004). W. W 777, D E E, U P F, B. HILL, M.O. (1974) C :. A S 3,
22 LEBART, L. (1976). T. I J. G P. N (), P C S, P V, V, LEBART, L. (006). V. I M.J. G J. B (), M C A R M, L: C H,. LEGENDRE, P. (001). E. O 19, MEULMAN, J. (198). H A I D. L, T N: DSWO P. MURDOCH, D.J. CHOW, E.D. (1996). A. A S 50, PAGÈS, J. BÉCUE-BERTAUT, M. (006). M. I M.J. G J. B (), M C A R M. L: C H,. R DEVELOPMENT CORE TEAM (005). R: A L E S C. R F S C, V, A. ://.R-. RAO, C.R. (1995). A H. Qüó 19, SILVERMAN, B.W. TITTERINGTON, D.M. (1980). M. SIAM J. S. S. C. 1, SOKAL, R. R. ROHLF, F.J. (1981). B: T P P S B R. E. N Y:W.H. F C. VAN DE VELDEN, M. (000). S T C A. PD T, U A. VAN DE VELDEN, M. KIERS, H.A.L. (005). R. J C,
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