[fpr 2154] Principals Analysisについて

SK PARK


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前回の質問内容が明確ではなかったので迷惑をかけました。

Principals Analysis(SPSSではPRINSCAL)と書きましたが,
正式な名称は,Principal Components Analysis (by means of alternating least
squares analysis)で,
F.W.Young et. al. (1978) 「The Principal Components of Mixed Measurement
Level Multivariate Data」に
その内容の大体が書いてありましたが,私は数学的の概念が苦手で,
それを見ても,それが主座標分析や一般のPCAとの差は何かが理解できませんでし
た。
また,SPSSのPRINSCAL出力結果を見ると図が原点(0点)を通って直線状でカテゴリー
尺度の距離も現していると思いましたので
他の主成分とは?と考えてみました。あまりにも不勉強で,失礼しました。

<参照>
Principal Components Analysis(主成分分析)
Principal Components Analysis (by means of alternating least squares
analyzes)(Principals)― F.W.Young & Y.Takane & Jan de Leeuw(1978)
Principal Coordinate Analysis(主座標分析) ― Gower (1966)
Nonlinear PCA(非線形主成分分析)  ― Gifi (1990)
Constrained PCA(CPCA,制約つき主成分分析) − 高根(1995)

質問:SPSSで主座標分析ができますか?
SKPARK

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mso-bidi-font-size:10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'>Principal</span></font><font
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"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>Principal Components =
Analysis (by means of alternating least squares =
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New";color:black'>F.W.Young</span></font><font
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10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'> et. al. (1978) </span></font><font
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"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>The Principal Components of =
Mixed Measurement Level Multivariate Data</span></font><font
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<font size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre><pre><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B$^$?!$=1B(B</span></font><font =
size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>SPSS</span></font><font =
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B$N=1B(B</span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'>PRINSCAL</span></font><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B=3DPNO7k2L$r8+$k$H?^$,86E@=1B(B</sp=
an></font><font size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>(</span></font><font =
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B#0E@=1B(B</span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'>)</span></font><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B$rDL$C$FD>@~>u$G%+%F%4%j!<<\EY$N5wN=
%$b8=3D$7$F$$$k$H;W$$$^$7$?$N$G=1B(B</span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre><pre><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$BB>$N<g@.J,$H$O!)$H9M$($F$_$^$7$?!#$=
"$^$j$K$bITJY6/$G!$<:Ni$7$^$7$?!#=1B(B</span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre><pre><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$B%4%7%C%/=1B(B"><span =
lang=3DEN-US style=3D'font-size:11.0pt;
mso-bidi-font-size:10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'><![if =
!supportEmptyParas]>&nbsp;<![endif]></span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre><pre><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$B%4%7%C%/=1B(B"><span =
lang=3DEN-US style=3D'font-size:11.0pt;
mso-bidi-font-size:10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'>&lt;</span></font><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B;2>H=1B(B</span></font><font =
size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>&gt;</span></font><font =
size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre>

<p class=3DMsoNormal><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:9.5pt;font-family:"Times =
New Roman";
color:black;mso-font-kerning:0pt'>Principal Components =
Analysis</span></font><font
size=3D2 color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:
11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times New =
Roman";color:black'>(</span></font><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"Times New =
Roman";mso-hansi-font-family:
"Times New Roman";color:black'>=1B$B<g@.J,J, (at) O=1B(B</span></font><font =
size=3D2 color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"Times New Roman";color:black'>)</span></font><font =
size=3D2
color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;
mso-bidi-font-size:9.5pt;font-family:"Times New =
Roman";color:black;mso-font-kerning:
0pt'><o:p></o:p></span></font></p>

<p class=3DMsoNormal><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:9.5pt;font-family:"Times =
New Roman";
color:black;mso-font-kerning:0pt'>Principal Components Analysis (by =
means of
alternating least squares analyzes)</span></font><font size=3D2 =
color=3Dblack
face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:9.5pt;font-family:
"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";mso-ascii-font-family:"Times New =
Roman";mso-hansi-font-family:"Times New Roman";
color:black;mso-font-kerning:0pt'>=1B$B!J=1B(B</span></font><font =
size=3D2 color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
9.5pt;font-family:"Times New =
Roman";color:black;mso-font-kerning:0pt'>Principals</span></font><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
9.5pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"Times New =
Roman";mso-hansi-font-family:
"Times New =
Roman";color:black;mso-font-kerning:0pt'>=1B$B!K!=3D!!=1B(B</span></font>=
<font
size=3D2 color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:
11.0pt;mso-bidi-font-size:9.5pt;font-family:"Times New =
Roman";color:black;
mso-font-kerning:0pt'>F.W.Young &amp; Y.Takane &amp; Jan de =
Leeuw(1978)</span></font><font
size=3D2 color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:
11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times New =
Roman";color:black'><o:p></o:p></span></font></p>

<p class=3DMsoNormal><span class=3DEmailStyle18><font size=3D2 =
color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"Times New =
Roman";mso-fareast-font-family:"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";
mso-bidi-font-family:Arial'>Principal Coordinate =
Analysis(</span></font></span><span
class=3DEmailStyle18><font size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman"'>=1B$B<g:BI8J, (at) O=1B(B</span></font></span><span
class=3DEmailStyle18><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times =
New Roman";
mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-bidi-font-family:Arial'>)</span></font></span><span
class=3DEmailStyle18><font size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman"'>=1B$B!!!=3D=1B(B</span></font></span><font
size=3D2 color=3Dblack face=3D"Times New Roman"><span =
style=3D'font-size:11.0pt;
mso-bidi-font-size:10.0pt;font-family:"Times New =
Roman";color:black;mso-font-kerning:
0pt'> <span lang=3DEN-US>Gower (1966)</span></span></font><font size=3D2
color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;
mso-bidi-font-size:12.0pt;font-family:"Times New =
Roman";color:black;mso-color-alt:
windowtext'><o:p></o:p></span></font></p>

<p class=3DMsoNormal><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times =
New Roman";
color:black'>Nonlinear PCA(</span></font><font size=3D2 color=3Dblack =
face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman";
color:black'>=1B$BHs@~7A<g@.J,J, (at) O=1B(B</span></font><font size=3D2 =
color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"Times New Roman";color:black'>)</span></font><font =
size=3D2
color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;
mso-bidi-font-size:10.0pt;font-family:"Times New =
Roman";color:black;mso-font-kerning:
0pt'> </span></font><font size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman";
color:black;mso-font-kerning:0pt'>=1B$B!!!=3D!!=1B(B</span></font><font =
size=3D2 color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"Times New =
Roman";color:black;mso-font-kerning:0pt'>Gifi
(1990)</span></font><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times =
New Roman";
color:black;mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<p class=3DMsoNormal><font size=3D2 color=3Dblack face=3D"Times New =
Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times =
New Roman";
color:black'>Constrained</span></font><font size=3D2 color=3Dblack =
face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman";
color:black'>=1B$B!!=1B(B</span></font><font size=3D2 color=3Dblack =
face=3D"Times New Roman"><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times =
New Roman";
color:black'>PCA(CPCA</span></font><font size=3D2 color=3Dblack =
face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;font-family:"=1B$B#M#=
S=1B(B =1B$BL (at) D+=1B(B";
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New =
Roman";
color:black'>=1B$B!$@)Ls$D$-<g@.J,J, (at) O=1B(B</span></font><font size=3D2 =
color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"Times New Roman";color:black'>)</span></font><font =
size=3D2
color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:12.0pt;
font-family:"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";mso-ascii-font-family:"Times =
New Roman";mso-hansi-font-family:
"Times New Roman";color:black'>=1B$B!!!]!!9b:,=1B(B</span></font><font =
size=3D2 color=3Dblack
face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
12.0pt;font-family:"Times New =
Roman";color:black'>(1995)</span></font><font
size=3D2 color=3Dblack face=3D"Times New Roman"><span lang=3DEN-US =
style=3D'font-size:
11.0pt;mso-bidi-font-size:12.0pt;font-family:"Times New =
Roman";color:black;
mso-color-alt:windowtext'><o:p></o:p></span></font></p>

<pre><font size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B"><span lang=3DEN-US style=3D'font-size:
11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black'><![if =
!supportEmptyParas]>&nbsp;<![endif]></span></font><font
size=3D2 color=3Dblack><span lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;mso-fareast-font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";color:black;mso-color-alt:windowtext'><o:p></o:p></span><=
/font></pre><pre><font
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span =
style=3D'font-size:11.0pt;mso-bidi-font-size:
10.0pt;font-family:"=1B$B#M#S=1B(B =
=1B$BL (at) D+=1B(B";mso-ascii-font-family:"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";mso-hansi-font-family:
"=1B$B#M#S=1B(B =
=1B$B%4%7%C%/=1B(B";color:black'>=1B$B<ALd!'=1B(B</span></font><font =
size=3D2 color=3Dblack><span
lang=3DEN-US =
style=3D'font-size:11.0pt;mso-bidi-font-size:10.0pt;mso-fareast-font-fami=
ly:
"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B";color:black'>SPSS</span></font><font =
size=3D2 color=3Dblack face=3D"=1B$B#M#S=1B(B =1B$BL (at) D+=1B(B"><span
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