(PCA: Pricipal Copoet Aalysis Ver.4. 0.70.3 weight 0.5 0.5 (Pricipal Copoet Aalysis.. "datb_jigyosho.txt'". (00 datb_jigyosho.txt 5 6 5 6 0,000 x-x6..6
x x x3 x4 x5 x6
SAS. ( 6 x x x x z z x x z l x + l...(. x l l A: z...(. B: l + l...(.3 A z (Pricipal Copoet ( z v z v z ( z z (( lx + l x ( lx + l x ( + l( x x l ( x x l ( x x + l ( x x + ll ( x x( x x 3
l +...(.4 v + l v llv v x v x v x x v ( x x v ( x x v ( x x( x x...(.5 z v z (.4l + l (.3 l l W ( l v + l v + l l v λ ( l + l λ W ( v λ l + vl 0...(.6 l W vl + ( v λ l 0...(.7 l W λ ( l + l 0 3...(.8 (.6 (.7 v l + v l λ...(.9 v l l vl λl +...(.0 v v l l λ...(. v v l l v v l V, l...(. v v l Vl λl...(.3 V x x λ V l λ (.8 λ l l λ (.3 l' l, l ( l' Vl l' λl...(.4 l' Vl l v + l v + l l v v ( z...(.5 z l' λ l λl' l λ ( Q l' l...(.6 Q λ vz...(.7 4
λ z v z (3 x x z l x + l...(. x l l A: ( z...(. B: l + l...(.3 x x V V λ z v z A λ λ l B l + l (. λ V λ λ λ λ SAS pricop (4 pricop SAS SAS.3.4 5
6.3SAS ( pricop data SAS idus cov cov out : SAS pri pri pri var x x
7.4SAS (
(5 Observatios Variables Siple Statistics ae STD Covariace atrix v v V v v Total Variace x x v + v Eigevalue V (.3λ v.7 444.9 V λ + λ v + v...(.8 Proportio λ /( v + v...(.9 λ /( v + v...(.0 00% % 95.7% 95.7% Cuulative 70% 70% 60% 40% Eigevectors z lx + lx l l l 0.39 l 0. 950 z z 8
9 950 0..39 0 x x z +...(. z Pri Pri 78.5 8. z 95.7% z SAS
3. 3. x x x x 3. 3. 3. x x X 3.3 X x, ( x 3. 3.3 O 0
3.3 P z cosθ x o x cos(90 θ Q X x O x B A 3. x x z l x + l...(. x θ l l o l cosθ, l cos(90 θ si θ...(3. (. o z x cosθ + x cos(90 θ OQ + QP OP...(3. X P z OP X P z OP...(3.3 3. C'...(3.4 C...(3.5
3.3 θ X P X A OXP OXA OX OX XP + OP XP + z...(3.6 XA + OA x + x...(3.7 XP XP x + x z...(3.8 XP x + x z...(3.9 d v x v 3 z v z d v + v v...(3.0 ( z v + d v vz C d A z v z...(3. A C x
4. 4. g c g g 0 6 c /0000 / 0000 00 00.4 00 Kg c...(4....(4. x x s s ~x ~x ~ x x ~ x x...(4.3 s s ~x ~x z l ~ x + l ~ x...(4.4 ~x ~x...(4.5 3
~x ~x x x...(4.6 x x...(4.7 x x r R...(4.8 r ( r r x x Rl λl l + l...(4.9 4. ( pricop cov x x SAS 4. pricop data SAS idus cov out : SAS pri pri pri var x x 4
5 4.SAS ( ( 4.
6 4.SAS (
Observatios Variables Siple Statistics ae STD Correlatio atrix r R r "Total Variace"...(4.0 v + v +...(4. Eigevalue (4.9λ v R (a...(4.a (b...(4.b λ + λ v + v +...(4.3 Proportio λ /( v + v...(4.4 λ /( v + v...(4.5 00% % Cuulative 70% 60% 40% z 7
8 Eigevectors ~ ~ x l x l z +...(4.4 l l ~x ~x 4.3 l x x 3 (4.4 z Pri Pri
5. 5. p x, x, L, x ( p z, z, L, z p ( 5. i p x i xi xi xi i,, L,...(5. xip ' x x x L x ' p x x x L x ' p X ( p O x' x x L xp x i ( x i...(5. p...(5.3 p 9
0 p p p L O L L ' ' ' ( p...(5.4 ( X X' ' X X' ' X ' X' X X' X ' X V ~ ( ( ( ( +...(5.5 ' X ' X' ~ p p p p p p L O L L...(5.6 p σ p σ σ L O L L 0 0 0 0 0 0 S...(5.7 ( S X X S ( p...(5.8
R X S' X S S ( X ' ( X S S VS...(5.9 5.3 ( p x' x, x, L, x ( p z z l x + l x + L + l x p p...(5.0 l' ( l, l, L, l p p z l...(5. l z l l + L + l l' l...(5. + p z l l' l Var( z ax...(5.3 s. t. l' l ( i z i l x + l x + L l x p...(5.4 z + p z l x l x l x + + + p p L...(5.4 L z l x + l x + L + l x p p...(5.4 z' z, z, L, z l X ( z Xl...(5.5
Var( z ( Xl l ' ( Xl l l' ( X ' ( X l...(5.6 l'vl V x W l' Vl λ( l' l...(5.7 W l'v λl' 0'...(5.8 l W ( l' l 0...(5.9 λ Vl λl...(5.0 V l Var (z l'vl λ l' l λ...(5. z V z...(5. l...(5.3 z z l λ i z i z ' z, z, L, z...(5.4 ( l ' l, l, L, l...(5.5 ( p X z Xl...(5.6 Vl λl...(5.7 Var ( z λ...(5.8 (3 z z
z Var ( ax...(5.9 z s.t. l ' l l ' 0 ( j,, L, ( j l µ, µ, L, µ, λ W l'vl j W l'v µ jl ' λl l l ' l µ l ' l λ ( l ' l...(5.30 j j j j ' 0'...(5.3a...(5.3b l ' 0 ( j,, L,...(5.3c j l W / l 0' l ( r,, L, r l'vlr µ jl j' lr λl' lr 0...(5.3a j l ' ( λ l 0 0...(5.3b r r µ r r λrlr r Q Vl λ V l ' 0 ( j r l j' l r ( j r l ' 0 l r j l r 0 µ r 0 0...(5.33c Q l ' 0 l r µ 0 ( j,, L, W / l 0' Vl j λ l...(5.34 V λ z l (4 V R 3
Rl λl...(5.35 λ l R x~ i l z l x ~ + l x ~ + L l ~...(5.35a + p x p 4
5 5.4 ( pricop cov x x 3 x 4 x 5 x 6 x 6 5. pricop data SAS idus cov out : SAS pri 6 pri pri pri6 var x x x6 5.SAS 6 (
6 ( 5.SAS 6 (
7 Observatios Variables Siple Statistics ae STD Correlatio atrix R "Total Variace"
p...(5.36 Eigevalue (5.35λ v R p (a.....(5.37a (b...(5.37b λ + λ + L + λ + + + p...(5.38 p L Proportio λ / p...(5.39a λ / p...(5.39b 00% % Cuulative 70% 40% 35% Eigevectors l z l x ~ l x ~ l x ~ + + L + p p...(5.35a l l l p ~x ~x x~ p 4.3 l x x (5.35a z p Pri Pri z 8
9