File: factor.at

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dnl PSPP - a program for statistical analysis.
dnl Copyright (C) 2017 Free Software Foundation, Inc.
dnl
dnl This program is free software: you can redistribute it and/or modify
dnl it under the terms of the GNU General Public License as published by
dnl the Free Software Foundation, either version 3 of the License, or
dnl (at your option) any later version.
dnl
dnl This program is distributed in the hope that it will be useful,
dnl but WITHOUT ANY WARRANTY; without even the implied warranty of
dnl MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
dnl GNU General Public License for more details.
dnl
dnl You should have received a copy of the GNU General Public License
dnl along with this program.  If not, see <http://www.gnu.org/licenses/>.
dnl
AT_BANNER([FACTOR procedure])

AT_SETUP([FACTOR extraction=paf method=correlation])
dnl This example is based on data from http://www.ats.ucla.edu/stat/Spss/output/factor1.htm

AT_DATA([factor.sps],
  [set format = F11.3.

data list notable fixed /question13 to question24 1-12.
begin data.
555555535543
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111111111544
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455444444344
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555554545555
444433534434
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334333333333
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122333441413
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555444444455
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333441232233
544433433433
555544343344
344211142124
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433432332223
333424322222
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344321232223
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545555535555
455454434454
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213332443111
555545434433
555554424444
443434443433
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555455545443
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554545443455
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434432232323
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544555544544
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555444440000
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555455554455
454435544255
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121422433111
555554543244
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554445554344
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535444554433
444444444444
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445455554443
555445554433
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554454445444
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334422433422
555554434444
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443432342224
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553434333333
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444443344323
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555554545344
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555342434333
444443333233
444544435444
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555455554354
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554555545545
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555545454344
555555455555
433444444343
454555554444
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444445554444
544455555455
555343434343
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555444434443
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555444534455
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555445533543
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555554555455
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344444434443
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344244434433
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555445545455
444444444444
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344233341155
333334433233
444433434333
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454344544444
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554544434333
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555554555445
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554444445244
555455555555
555555555444
444444444433
555555555444
555555544454
555555555544
444444434444
555555535553
545534543334
554554534533
555555555554
554554544544
454541231221
555555535544
445344334432
444444344333
555555534444
555555545555
443434544232
545544433343
343234434333
444444443233
555454444455
555455535455
554433442243
444444544454
554545554544
454444444444
554455534455
555555544355
555445555555
555444534444
455454534444
555555555544
444444444455
454455554344
443244442233
350554554434
455444535343
344233443433
454444535545
244222232232
245345554344
355344444443
555455555444
444434444233
334323444322
333234443233
455455554454
555554544434
555355555444
444444544443
555554555544
344231224131
444443434433
454344444431
555554555553
454544444443
444443443532
334323423222
455555545554
555542434443
554444444443
554444534344
555443454555
555555534554
444434443343
444234432233
334323311333
444443443233
355424552242
233335323322
234233443333
123353532334
444345555244
332222433422
545445555443
555555555555
555554444443
455445554455
455455555455
555555555555
444443433445
555455555544
355453434232
555555554344
444433433433
434322242112
444444433433
444445444544
555444535444
544444444443
454544344334
454444334333
434433433332
334434423423
444455552233
442442342233
445433433343
555555444355
555555555555
455554555545
555445544444
544444434443
555555535333
554444444344
555554554445
345433334121
555555555554
545444444233
555555544455
555554545555
555555455555
555555545555
555554544455
444444444333
544544544445
555445544544
555455444455
555455555454
554455535444
453423442244
444443444444
454444333333
555555555542
555555555543
555555555544
555555535534
555555555444
444443423333
555444444444
555445544453
444444444443
555555443444
444443444333
554554154344
555543353333
554445443333
555555553455
554534444243
554555554545
555544443443
555554555555
555425552422
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454421121321
555454453433
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244224431223
455444453444
454345544455
344235545044
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555553325554
554554444244
555545544544
454555554545
444444545444
545544444455
454344445443
545555554453
444444444443
545554554453
555453434444
005434434454
455555455544
555555555554
455542444433
545543444555
445545445444
555553325454
555554555554
444544444443
555555444454
443332443222
454444443444
344333433332
555455444455
555555555445
555555534454
445433432343
555554434444
555555545444
544545434455
454435543444
555555555555
555455554555
555555544554
555553554455
555555555555
545454545444
555555445555
554534343444
555545443343
545454334444
554445544544
555455354344
555555555355
554445544354
455554444444
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555554444444
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555554344433
333334441223
543554344434
055541243244
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555445444544
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544434344333
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444444443333
555555555554
555552343233
444444444433
544444434444
555555545555
555555555554
445244434444
445444434444
445555554521
443444543343
444433343434
355444433442
555543444455
555444334544
555555555555
554555545555
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555555555555
454444343445
444444433444
354445443444
555334242132
455445555543
254153343433
354244443333
554455444344
343255535444
455454555553
555455545555
444343433343
343323443323
455444444424
555544444455
343434543444
555555555544
555554534243
555554543344
555455555544
555443344343
444445533133
555543534555
444554444444
444002323320
444232322222
244344424441
555443344334
555555555555
555444534443
555555555555
555555555550
455555554555
555555555555

end data.

missing values
	question13 question14 question15 question16 question17 question18 question19 question20 question21 question22 question23 question24 (0).

factor
 /variables question13 question14 question15 question16 question17 question18 question19 question20 question21 question22 question23 question24
 /analysis all
 /print univariate det correlation
 /format blank(.30)
 /plot eigen
 /criteria factors(3)
 /extraction paf
 /method = correlation.
])

AT_CHECK([pspp -O format=csv factor.sps], [0],
  [Table: Descriptive Statistics
,Mean,Std. Deviation,Analysis N
question13,4.462,.729,1365
question14,4.525,.700,1365
question15,4.445,.732,1365
question16,4.281,.829,1365
question17,4.166,.895,1365
question18,3.930,1.034,1365
question19,4.077,.963,1365
question20,3.777,.909,1365
question21,3.774,.984,1365
question22,3.607,1.116,1365
question23,3.813,.957,1365
question24,3.666,.926,1365

Table: Correlation Matrix
,,question13,question14,question15,question16,question17,question18,question19,question20,question21,question22,question23,question24
Correlation,question13,1.000,.661,.600,.566,.577,.409,.286,.304,.476,.333,.564,.454
,question14,.661,1.000,.635,.500,.552,.433,.320,.315,.449,.333,.565,.443
,question15,.600,.635,1.000,.505,.587,.457,.359,.356,.509,.369,.582,.435
,question16,.566,.500,.505,1.000,.586,.405,.335,.317,.452,.363,.459,.430
,question17,.577,.552,.587,.586,1.000,.555,.449,.417,.595,.450,.613,.521
,question18,.409,.433,.457,.405,.555,1.000,.627,.521,.554,.536,.569,.474
,question19,.286,.320,.359,.335,.449,.627,1.000,.446,.499,.484,.444,.374
,question20,.304,.315,.356,.317,.417,.521,.446,1.000,.425,.383,.410,.357
,question21,.476,.449,.509,.452,.595,.554,.499,.425,1.000,.507,.598,.500
,question22,.333,.333,.369,.363,.450,.536,.484,.383,.507,1.000,.493,.444
,question23,.564,.565,.582,.459,.613,.569,.444,.410,.598,.493,1.000,.705
,question24,.454,.443,.435,.430,.521,.474,.374,.357,.500,.444,.705,1.000
Caption: Determinant: 0.00

Table: Factor Matrix
,Factor,,
,1,2,3
question13,.713,.398,
question14,.703,.339,
question15,.721,,
question16,.648,,
question17,.783,,
question18,.740,-.345,
question19,.616,-.415,
question20,.550,,
question21,.732,,
question22,.613,,
question23,.819,,.345
question24,.695,,.386

Table: Rotated Factor Matrix
,Factor,,
,1,2,3
question13,.771,,
question14,.726,,
question15,.676,,
question16,.591,,
question17,.587,.446,
question18,,.739,
question19,,.727,
question20,,.540,
question21,.402,.533,.321
question22,,.559,
question23,.449,.377,.668
question24,.324,.321,.652
])

AT_CLEANUP

AT_SETUP([FACTOR extraction=pc method=correlation])
dnl This example is from http://www.ats.ucla.edu/stat/spss/whatstat/whatstat.htm

AT_DATA([factor2.sps],
  [set format = F11.3.


data list notable list /id female race ses schtyp prog read write math science socst.
begin data.
 70.00      .00  4.00     1.00     1.00     1.00    57.00    52.00    41.00    47.00    57.00
121.00     1.00  4.00     2.00     1.00     3.00    68.00    59.00    53.00    63.00    61.00
 86.00      .00  4.00     3.00     1.00     1.00    44.00    33.00    54.00    58.00    31.00
141.00      .00  4.00     3.00     1.00     3.00    63.00    44.00    47.00    53.00    56.00
172.00      .00  4.00     2.00     1.00     2.00    47.00    52.00    57.00    53.00    61.00
113.00      .00  4.00     2.00     1.00     2.00    44.00    52.00    51.00    63.00    61.00
 50.00      .00  3.00     2.00     1.00     1.00    50.00    59.00    42.00    53.00    61.00
 11.00      .00  1.00     2.00     1.00     2.00    34.00    46.00    45.00    39.00    36.00
 84.00      .00  4.00     2.00     1.00     1.00    63.00    57.00    54.00    58.00    51.00
 48.00      .00  3.00     2.00     1.00     2.00    57.00    55.00    52.00    50.00    51.00
 75.00      .00  4.00     2.00     1.00     3.00    60.00    46.00    51.00    53.00    61.00
 60.00      .00  4.00     2.00     1.00     2.00    57.00    65.00    51.00    63.00    61.00
 95.00      .00  4.00     3.00     1.00     2.00    73.00    60.00    71.00    61.00    71.00
104.00      .00  4.00     3.00     1.00     2.00    54.00    63.00    57.00    55.00    46.00
 38.00      .00  3.00     1.00     1.00     2.00    45.00    57.00    50.00    31.00    56.00
115.00      .00  4.00     1.00     1.00     1.00    42.00    49.00    43.00    50.00    56.00
 76.00      .00  4.00     3.00     1.00     2.00    47.00    52.00    51.00    50.00    56.00
195.00      .00  4.00     2.00     2.00     1.00    57.00    57.00    60.00    58.00    56.00
114.00      .00  4.00     3.00     1.00     2.00    68.00    65.00    62.00    55.00    61.00
 85.00      .00  4.00     2.00     1.00     1.00    55.00    39.00    57.00    53.00    46.00
167.00      .00  4.00     2.00     1.00     1.00    63.00    49.00    35.00    66.00    41.00
143.00      .00  4.00     2.00     1.00     3.00    63.00    63.00    75.00    72.00    66.00
 41.00      .00  3.00     2.00     1.00     2.00    50.00    40.00    45.00    55.00    56.00
 20.00      .00  1.00     3.00     1.00     2.00    60.00    52.00    57.00    61.00    61.00
 12.00      .00  1.00     2.00     1.00     3.00    37.00    44.00    45.00    39.00    46.00
 53.00      .00  3.00     2.00     1.00     3.00    34.00    37.00    46.00    39.00    31.00
154.00      .00  4.00     3.00     1.00     2.00    65.00    65.00    66.00    61.00    66.00
178.00      .00  4.00     2.00     2.00     3.00    47.00    57.00    57.00    58.00    46.00
196.00      .00  4.00     3.00     2.00     2.00    44.00    38.00    49.00    39.00    46.00
 29.00      .00  2.00     1.00     1.00     1.00    52.00    44.00    49.00    55.00    41.00
126.00      .00  4.00     2.00     1.00     1.00    42.00    31.00    57.00    47.00    51.00
103.00      .00  4.00     3.00     1.00     2.00    76.00    52.00    64.00    64.00    61.00
192.00      .00  4.00     3.00     2.00     2.00    65.00    67.00    63.00    66.00    71.00
150.00      .00  4.00     2.00     1.00     3.00    42.00    41.00    57.00    72.00    31.00
199.00      .00  4.00     3.00     2.00     2.00    52.00    59.00    50.00    61.00    61.00
144.00      .00  4.00     3.00     1.00     1.00    60.00    65.00    58.00    61.00    66.00
200.00      .00  4.00     2.00     2.00     2.00    68.00    54.00    75.00    66.00    66.00
 80.00      .00  4.00     3.00     1.00     2.00    65.00    62.00    68.00    66.00    66.00
 16.00      .00  1.00     1.00     1.00     3.00    47.00    31.00    44.00    36.00    36.00
153.00      .00  4.00     2.00     1.00     3.00    39.00    31.00    40.00    39.00    51.00
176.00      .00  4.00     2.00     2.00     2.00    47.00    47.00    41.00    42.00    51.00
177.00      .00  4.00     2.00     2.00     2.00    55.00    59.00    62.00    58.00    51.00
168.00      .00  4.00     2.00     1.00     2.00    52.00    54.00    57.00    55.00    51.00
 40.00      .00  3.00     1.00     1.00     1.00    42.00    41.00    43.00    50.00    41.00
 62.00      .00  4.00     3.00     1.00     1.00    65.00    65.00    48.00    63.00    66.00
169.00      .00  4.00     1.00     1.00     1.00    55.00    59.00    63.00    69.00    46.00
 49.00      .00  3.00     3.00     1.00     3.00    50.00    40.00    39.00    49.00    47.00
136.00      .00  4.00     2.00     1.00     2.00    65.00    59.00    70.00    63.00    51.00
189.00      .00  4.00     2.00     2.00     2.00    47.00    59.00    63.00    53.00    46.00
  7.00      .00  1.00     2.00     1.00     2.00    57.00    54.00    59.00    47.00    51.00
 27.00      .00  2.00     2.00     1.00     2.00    53.00    61.00    61.00    57.00    56.00
128.00      .00  4.00     3.00     1.00     2.00    39.00    33.00    38.00    47.00    41.00
 21.00      .00  1.00     2.00     1.00     1.00    44.00    44.00    61.00    50.00    46.00
183.00      .00  4.00     2.00     2.00     2.00    63.00    59.00    49.00    55.00    71.00
132.00      .00  4.00     2.00     1.00     2.00    73.00    62.00    73.00    69.00    66.00
 15.00      .00  1.00     3.00     1.00     3.00    39.00    39.00    44.00    26.00    42.00
 67.00      .00  4.00     1.00     1.00     3.00    37.00    37.00    42.00    33.00    32.00
 22.00      .00  1.00     2.00     1.00     3.00    42.00    39.00    39.00    56.00    46.00
185.00      .00  4.00     2.00     2.00     2.00    63.00    57.00    55.00    58.00    41.00
  9.00      .00  1.00     2.00     1.00     3.00    48.00    49.00    52.00    44.00    51.00
181.00      .00  4.00     2.00     2.00     2.00    50.00    46.00    45.00    58.00    61.00
170.00      .00  4.00     3.00     1.00     2.00    47.00    62.00    61.00    69.00    66.00
134.00      .00  4.00     1.00     1.00     1.00    44.00    44.00    39.00    34.00    46.00
108.00      .00  4.00     2.00     1.00     1.00    34.00    33.00    41.00    36.00    36.00
197.00      .00  4.00     3.00     2.00     2.00    50.00    42.00    50.00    36.00    61.00
140.00      .00  4.00     2.00     1.00     3.00    44.00    41.00    40.00    50.00    26.00
171.00      .00  4.00     2.00     1.00     2.00    60.00    54.00    60.00    55.00    66.00
107.00      .00  4.00     1.00     1.00     3.00    47.00    39.00    47.00    42.00    26.00
 81.00      .00  4.00     1.00     1.00     2.00    63.00    43.00    59.00    65.00    44.00
 18.00      .00  1.00     2.00     1.00     3.00    50.00    33.00    49.00    44.00    36.00
155.00      .00  4.00     2.00     1.00     1.00    44.00    44.00    46.00    39.00    51.00
 97.00      .00  4.00     3.00     1.00     2.00    60.00    54.00    58.00    58.00    61.00
 68.00      .00  4.00     2.00     1.00     2.00    73.00    67.00    71.00    63.00    66.00
157.00      .00  4.00     2.00     1.00     1.00    68.00    59.00    58.00    74.00    66.00
 56.00      .00  4.00     2.00     1.00     3.00    55.00    45.00    46.00    58.00    51.00
  5.00      .00  1.00     1.00     1.00     2.00    47.00    40.00    43.00    45.00    31.00
159.00      .00  4.00     3.00     1.00     2.00    55.00    61.00    54.00    49.00    61.00
123.00      .00  4.00     3.00     1.00     1.00    68.00    59.00    56.00    63.00    66.00
164.00      .00  4.00     2.00     1.00     3.00    31.00    36.00    46.00    39.00    46.00
 14.00      .00  1.00     3.00     1.00     2.00    47.00    41.00    54.00    42.00    56.00
127.00      .00  4.00     3.00     1.00     2.00    63.00    59.00    57.00    55.00    56.00
165.00      .00  4.00     1.00     1.00     3.00    36.00    49.00    54.00    61.00    36.00
174.00      .00  4.00     2.00     2.00     2.00    68.00    59.00    71.00    66.00    56.00
  3.00      .00  1.00     1.00     1.00     2.00    63.00    65.00    48.00    63.00    56.00
 58.00      .00  4.00     2.00     1.00     3.00    55.00    41.00    40.00    44.00    41.00
146.00      .00  4.00     3.00     1.00     2.00    55.00    62.00    64.00    63.00    66.00
102.00      .00  4.00     3.00     1.00     2.00    52.00    41.00    51.00    53.00    56.00
117.00      .00  4.00     3.00     1.00     3.00    34.00    49.00    39.00    42.00    56.00
133.00      .00  4.00     2.00     1.00     3.00    50.00    31.00    40.00    34.00    31.00
 94.00      .00  4.00     3.00     1.00     2.00    55.00    49.00    61.00    61.00    56.00
 24.00      .00  2.00     2.00     1.00     2.00    52.00    62.00    66.00    47.00    46.00
149.00      .00  4.00     1.00     1.00     1.00    63.00    49.00    49.00    66.00    46.00
 82.00     1.00  4.00     3.00     1.00     2.00    68.00    62.00    65.00    69.00    61.00
  8.00     1.00  1.00     1.00     1.00     2.00    39.00    44.00    52.00    44.00    48.00
129.00     1.00  4.00     1.00     1.00     1.00    44.00    44.00    46.00    47.00    51.00
173.00     1.00  4.00     1.00     1.00     1.00    50.00    62.00    61.00    63.00    51.00
 57.00     1.00  4.00     2.00     1.00     2.00    71.00    65.00    72.00    66.00    56.00
100.00     1.00  4.00     3.00     1.00     2.00    63.00    65.00    71.00    69.00    71.00
  1.00     1.00  1.00     1.00     1.00     3.00    34.00    44.00    40.00    39.00    41.00
194.00     1.00  4.00     3.00     2.00     2.00    63.00    63.00    69.00    61.00    61.00
 88.00     1.00  4.00     3.00     1.00     2.00    68.00    60.00    64.00    69.00    66.00
 99.00     1.00  4.00     3.00     1.00     1.00    47.00    59.00    56.00    66.00    61.00
 47.00     1.00  3.00     1.00     1.00     2.00    47.00    46.00    49.00    33.00    41.00
120.00     1.00  4.00     3.00     1.00     2.00    63.00    52.00    54.00    50.00    51.00
166.00     1.00  4.00     2.00     1.00     2.00    52.00    59.00    53.00    61.00    51.00
 65.00     1.00  4.00     2.00     1.00     2.00    55.00    54.00    66.00    42.00    56.00
101.00     1.00  4.00     3.00     1.00     2.00    60.00    62.00    67.00    50.00    56.00
 89.00     1.00  4.00     1.00     1.00     3.00    35.00    35.00    40.00    51.00    33.00
 54.00     1.00  3.00     1.00     2.00     1.00    47.00    54.00    46.00    50.00    56.00
180.00     1.00  4.00     3.00     2.00     2.00    71.00    65.00    69.00    58.00    71.00
162.00     1.00  4.00     2.00     1.00     3.00    57.00    52.00    40.00    61.00    56.00
  4.00     1.00  1.00     1.00     1.00     2.00    44.00    50.00    41.00    39.00    51.00
131.00     1.00  4.00     3.00     1.00     2.00    65.00    59.00    57.00    46.00    66.00
125.00     1.00  4.00     1.00     1.00     2.00    68.00    65.00    58.00    59.00    56.00
 34.00     1.00  1.00     3.00     2.00     2.00    73.00    61.00    57.00    55.00    66.00
106.00     1.00  4.00     2.00     1.00     3.00    36.00    44.00    37.00    42.00    41.00
130.00     1.00  4.00     3.00     1.00     1.00    43.00    54.00    55.00    55.00    46.00
 93.00     1.00  4.00     3.00     1.00     2.00    73.00    67.00    62.00    58.00    66.00
163.00     1.00  4.00     1.00     1.00     2.00    52.00    57.00    64.00    58.00    56.00
 37.00     1.00  3.00     1.00     1.00     3.00    41.00    47.00    40.00    39.00    51.00
 35.00     1.00  1.00     1.00     2.00     1.00    60.00    54.00    50.00    50.00    51.00
 87.00     1.00  4.00     2.00     1.00     1.00    50.00    52.00    46.00    50.00    56.00
 73.00     1.00  4.00     2.00     1.00     2.00    50.00    52.00    53.00    39.00    56.00
151.00     1.00  4.00     2.00     1.00     3.00    47.00    46.00    52.00    48.00    46.00
 44.00     1.00  3.00     1.00     1.00     3.00    47.00    62.00    45.00    34.00    46.00
152.00     1.00  4.00     3.00     1.00     2.00    55.00    57.00    56.00    58.00    61.00
105.00     1.00  4.00     2.00     1.00     2.00    50.00    41.00    45.00    44.00    56.00
 28.00     1.00  2.00     2.00     1.00     1.00    39.00    53.00    54.00    50.00    41.00
 91.00     1.00  4.00     3.00     1.00     3.00    50.00    49.00    56.00    47.00    46.00
 45.00     1.00  3.00     1.00     1.00     3.00    34.00    35.00    41.00    29.00    26.00
116.00     1.00  4.00     2.00     1.00     2.00    57.00    59.00    54.00    50.00    56.00
 33.00     1.00  2.00     1.00     1.00     2.00    57.00    65.00    72.00    54.00    56.00
 66.00     1.00  4.00     2.00     1.00     3.00    68.00    62.00    56.00    50.00    51.00
 72.00     1.00  4.00     2.00     1.00     3.00    42.00    54.00    47.00    47.00    46.00
 77.00     1.00  4.00     1.00     1.00     2.00    61.00    59.00    49.00    44.00    66.00
 61.00     1.00  4.00     3.00     1.00     2.00    76.00    63.00    60.00    67.00    66.00
190.00     1.00  4.00     2.00     2.00     2.00    47.00    59.00    54.00    58.00    46.00
 42.00     1.00  3.00     2.00     1.00     3.00    46.00    52.00    55.00    44.00    56.00
  2.00     1.00  1.00     2.00     1.00     3.00    39.00    41.00    33.00    42.00    41.00
 55.00     1.00  3.00     2.00     2.00     2.00    52.00    49.00    49.00    44.00    61.00
 19.00     1.00  1.00     1.00     1.00     1.00    28.00    46.00    43.00    44.00    51.00
 90.00     1.00  4.00     3.00     1.00     2.00    42.00    54.00    50.00    50.00    52.00
142.00     1.00  4.00     2.00     1.00     3.00    47.00    42.00    52.00    39.00    51.00
 17.00     1.00  1.00     2.00     1.00     2.00    47.00    57.00    48.00    44.00    41.00
122.00     1.00  4.00     2.00     1.00     2.00    52.00    59.00    58.00    53.00    66.00
191.00     1.00  4.00     3.00     2.00     2.00    47.00    52.00    43.00    48.00    61.00
 83.00     1.00  4.00     2.00     1.00     3.00    50.00    62.00    41.00    55.00    31.00
182.00     1.00  4.00     2.00     2.00     2.00    44.00    52.00    43.00    44.00    51.00
  6.00     1.00  1.00     1.00     1.00     2.00    47.00    41.00    46.00    40.00    41.00
 46.00     1.00  3.00     1.00     1.00     2.00    45.00    55.00    44.00    34.00    41.00
 43.00     1.00  3.00     1.00     1.00     2.00    47.00    37.00    43.00    42.00    46.00
 96.00     1.00  4.00     3.00     1.00     2.00    65.00    54.00    61.00    58.00    56.00
138.00     1.00  4.00     2.00     1.00     3.00    43.00    57.00    40.00    50.00    51.00
 10.00     1.00  1.00     2.00     1.00     1.00    47.00    54.00    49.00    53.00    61.00
 71.00     1.00  4.00     2.00     1.00     1.00    57.00    62.00    56.00    58.00    66.00
139.00     1.00  4.00     2.00     1.00     2.00    68.00    59.00    61.00    55.00    71.00
110.00     1.00  4.00     2.00     1.00     3.00    52.00    55.00    50.00    54.00    61.00
148.00     1.00  4.00     2.00     1.00     3.00    42.00    57.00    51.00    47.00    61.00
109.00     1.00  4.00     2.00     1.00     1.00    42.00    39.00    42.00    42.00    41.00
 39.00     1.00  3.00     3.00     1.00     2.00    66.00    67.00    67.00    61.00    66.00
147.00     1.00  4.00     1.00     1.00     2.00    47.00    62.00    53.00    53.00    61.00
 74.00     1.00  4.00     2.00     1.00     2.00    57.00    50.00    50.00    51.00    58.00
198.00     1.00  4.00     3.00     2.00     2.00    47.00    61.00    51.00    63.00    31.00
161.00     1.00  4.00     1.00     1.00     2.00    57.00    62.00    72.00    61.00    61.00
112.00     1.00  4.00     2.00     1.00     2.00    52.00    59.00    48.00    55.00    61.00
 69.00     1.00  4.00     1.00     1.00     3.00    44.00    44.00    40.00    40.00    31.00
156.00     1.00  4.00     2.00     1.00     2.00    50.00    59.00    53.00    61.00    61.00
111.00     1.00  4.00     1.00     1.00     1.00    39.00    54.00    39.00    47.00    36.00
186.00     1.00  4.00     2.00     2.00     2.00    57.00    62.00    63.00    55.00    41.00
 98.00     1.00  4.00     1.00     1.00     3.00    57.00    60.00    51.00    53.00    37.00
119.00     1.00  4.00     1.00     1.00     1.00    42.00    57.00    45.00    50.00    43.00
 13.00     1.00  1.00     2.00     1.00     3.00    47.00    46.00    39.00    47.00    61.00
 51.00     1.00  3.00     3.00     1.00     1.00    42.00    36.00    42.00    31.00    39.00
 26.00     1.00  2.00     3.00     1.00     2.00    60.00    59.00    62.00    61.00    51.00
 36.00     1.00  3.00     1.00     1.00     1.00    44.00    49.00    44.00    35.00    51.00
135.00     1.00  4.00     1.00     1.00     2.00    63.00    60.00    65.00    54.00    66.00
 59.00     1.00  4.00     2.00     1.00     2.00    65.00    67.00    63.00    55.00    71.00
 78.00     1.00  4.00     2.00     1.00     2.00    39.00    54.00    54.00    53.00    41.00
 64.00     1.00  4.00     3.00     1.00     3.00    50.00    52.00    45.00    58.00    36.00
 63.00     1.00  4.00     1.00     1.00     1.00    52.00    65.00    60.00    56.00    51.00
 79.00     1.00  4.00     2.00     1.00     2.00    60.00    62.00    49.00    50.00    51.00
193.00     1.00  4.00     2.00     2.00     2.00    44.00    49.00    48.00    39.00    51.00
 92.00     1.00  4.00     3.00     1.00     1.00    52.00    67.00    57.00    63.00    61.00
160.00     1.00  4.00     2.00     1.00     2.00    55.00    65.00    55.00    50.00    61.00
 32.00     1.00  2.00     3.00     1.00     3.00    50.00    67.00    66.00    66.00    56.00
 23.00     1.00  2.00     1.00     1.00     2.00    65.00    65.00    64.00    58.00    71.00
158.00     1.00  4.00     2.00     1.00     1.00    52.00    54.00    55.00    53.00    51.00
 25.00     1.00  2.00     2.00     1.00     1.00    47.00    44.00    42.00    42.00    36.00
188.00     1.00  4.00     3.00     2.00     2.00    63.00    62.00    56.00    55.00    61.00
 52.00     1.00  3.00     1.00     1.00     2.00    50.00    46.00    53.00    53.00    66.00
124.00     1.00  4.00     1.00     1.00     3.00    42.00    54.00    41.00    42.00    41.00
175.00     1.00  4.00     3.00     2.00     1.00    36.00    57.00    42.00    50.00    41.00
184.00     1.00  4.00     2.00     2.00     3.00    50.00    52.00    53.00    55.00    56.00
 30.00     1.00  2.00     3.00     1.00     2.00    41.00    59.00    42.00    34.00    51.00
179.00     1.00  4.00     2.00     2.00     2.00    47.00    65.00    60.00    50.00    56.00
 31.00     1.00  2.00     2.00     2.00     1.00    55.00    59.00    52.00    42.00    56.00
145.00     1.00  4.00     2.00     1.00     3.00    42.00    46.00    38.00    36.00    46.00
187.00     1.00  4.00     2.00     2.00     1.00    57.00    41.00    57.00    55.00    52.00
118.00     1.00  4.00     2.00     1.00     1.00    55.00    62.00    58.00    58.00    61.00
137.00     1.00  4.00     3.00     1.00     2.00    63.00    65.00    65.00    53.00    61.00
end data.

factor
  /variables read write math science socst
  /analysis read write math science socst
  /extraction pc
  /plot eigen
  /criteria mineigen (.557)
  .
])

AT_CHECK([pspp -O format=csv factor2.sps], [0],
  [Table: Communalities
,Initial,Extraction
read,1.000,.736
write,1.000,.704
math,1.000,.750
science,1.000,.849
socst,1.000,.900

Table: Total Variance Explained
,Initial Eigenvalues,,,Extraction Sums of Squared Loadings,,,Rotation Sums of Squared Loadings,,
,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %
1,3.381,67.6%,67.6%,3.381,67.6%,67.6%,2.113,42.3%,42.3%
2,.557,11.1%,78.8%,.557,11.1%,78.8%,1.825,36.5%,78.8%
3,.407,8.1%,86.9%,,,,,,
4,.356,7.1%,94.0%,,,,,,
5,.299,6.0%,100.0%,,,,,,

Table: Component Matrix
,Component,
,1,2
read,.858,.020
write,.824,-.155
math,.844,.195
science,.801,.456
socst,.783,-.536

Table: Rotated Component Matrix
,Component,
,1,2
read,.650,.559
write,.508,.667
math,.757,.421
science,.900,.198
socst,.222,.922
])

AT_CLEANUP



AT_SETUP([FACTOR empty dataset])
dnl Test that something sane happens when the dataset contains no complete observations

AT_DATA([factor-empty.sps],
  [data list notable list /x * y * z *.
begin data.
3.4        .     92.9
.        32.09   34.2
1.00     19.80     .
2.00       .      3.6
end data.

factor /variables = ALL.
])

AT_CHECK([pspp -O format=csv factor-empty.sps], [0], [ignore])
AT_CLEANUP


dnl Fixes a crash reported at
dnl http://lists.gnu.org/archive/html/bug-gnu-pspp/2012-04/msg00001.html
AT_SETUP([FACTOR /ROTATION=NOROTATE])
AT_DATA([factor-norotate.sps], [dnl
DATA LIST FREE / TRAIT1 TO TRAIT5 (F8.2).
BEGIN DATA
1 5 5 1 1
8 9 7 9 8
9 8 9 9 8
9 9 9 9 9
1 9 1 1 9
9 7 7 9 9
9 7 9 9 7
END DATA

SET SMALL=0.
FACTOR /VARIABLES=TRAIT1 TO TRAIT5
    /ROTATION=NOROTATE /* NOROTATE may have caused the problem. */
    /EXTRACTION=PC
    /PRINT=DEFAULT DET UNIVARIATE ROTATION SIG CORRELATION.
])

AT_CHECK([pspp -O format=csv factor-norotate.sps], [0], [dnl
Table: Descriptive Statistics
,Mean,Std. Deviation,Analysis N
TRAIT1,6.57,3.54,7
TRAIT2,7.71,1.39,7
TRAIT3,6.71,2.71,7
TRAIT4,6.71,3.61,7
TRAIT5,7.29,2.66,7

Table: Correlation Matrix
,,TRAIT1,TRAIT2,TRAIT3,TRAIT4,TRAIT5
Correlation,TRAIT1,1.000,.296,.881,.995,.545
,TRAIT2,.296,1.000,-.022,.326,.837
,TRAIT3,.881,-.022,1.000,.867,.130
,TRAIT4,.995,.326,.867,1.000,.544
,TRAIT5,.545,.837,.130,.544,1.000
Sig. (1-tailed),TRAIT1,,.260,.004,.000,.103
,TRAIT2,.260,,.482,.238,.009
,TRAIT3,.004,.482,,.006,.390
,TRAIT4,.000,.238,.006,,.103
,TRAIT5,.103,.009,.390,.103,
Caption: Determinant: 0.00

Table: Communalities
,Initial,Extraction
TRAIT1,1.00,1.00
TRAIT2,1.00,1.00
TRAIT3,1.00,.99
TRAIT4,1.00,.99
TRAIT5,1.00,.99

Table: Total Variance Explained
,Initial Eigenvalues,,,Extraction Sums of Squared Loadings,,
,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %
1,3.26,65.3%,65.3%,3.26,65.3%,65.3%
2,1.54,30.8%,96.0%,1.54,30.8%,96.0%
3,.17,3.4%,99.4%,.17,3.4%,99.4%
4,.03,.6%,100.0%,.03,.6%,100.0%
5,.00,.0%,100.0%,,,

Table: Component Matrix
,Component,,,
,1,2,3,4
TRAIT1,.97,.23,-.08,.00
TRAIT2,.52,-.81,.28,.00
TRAIT3,.78,.59,.17,.00
TRAIT4,.97,.21,-.04,.00
TRAIT5,.70,-.67,-.23,.00
])
AT_CLEANUP



dnl Fixes a bug in the way that the /CRITERIA = ITERATE option was interpreted.
dnl http://lists.gnu.org/archive/html/bug-gnu-pspp/2013-09/msg00036.html
AT_SETUP([FACTOR /CRITERIA=ITERATE])
AT_DATA([factor-iterate.sps], [dnl
set format = F20.3.
data list notable list /x y z *.
begin data.
1.00    5.00    3.00
2.00    2.00    2.00
3.00    1.00    1.00
4.00    4.00    5.00
5.00    3.00    9.00
6.00    6.00    4.00
7.00    7.00    6.00
8.00    8.00    8.00
9.00    9.00    7.00
end data.

FACTOR
 /VARIABLES= x y z
 /CRITERIA = MINEIGEN (1) ITERATE (25)
 /EXTRACTION =PAF
 /METHOD = CORRELATION
 /PRINT = INITIAL EXTRACTION
 /CRITERIA = ITERATE (0)
 /ROTATION = NOROTATE.
])

AT_CHECK([pspp -O format=csv factor-iterate.sps], [0], [dnl
Table: Communalities
,Initial,Extraction
x,.735,.979
y,.640,.653
z,.514,.523

Table: Total Variance Explained
,Initial Eigenvalues,,,Extraction Sums of Squared Loadings,,
,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %
1,2.404,80.1%,80.1%,2.155,71.8%,71.8%
2,.425,14.2%,94.3%,,,
3,.171,5.7%,100.0%,,,

Table: Factor Matrix
,Factor
,1
x,.990
y,.808
z,.723
])
AT_CLEANUP


AT_SETUP([FACTOR promax])
AT_DATA([factor-promax.sps], [dnl
set decimal=dot.
set format=F22.3.

get file='llz.zsav'.

factor
	/variables pz pn ps nz nn ns tz tn ts oz on os sz sn ss zz zn zs
	/missing listwise
	/print initial extraction rotation
	/criteria mineigen(1) iterate(25)
	/extraction paf
	/method correlation
	/rotation promax (5).
])

AT_CHECK([ln -s $top_srcdir/tests/language/commands/llz.zsav .], [0], [ignore])

AT_CHECK([pspp -O format=csv factor-promax.sps], [0], [dnl
Table: Communalities
,Initial,Extraction
PZ,.191,.375
PN,.042,.102
PS,.458,.623
NZ,.100,.163
NN,.065,.079
NS,.129,.148
TZ,.181,.344
TN,.102,.142
TS,.310,.372
OZ,.097,.158
ON,.323,.410
OS,.469,.617
SZ,.104,.170
SN,.154,.267
SS,.081,.180
ZZ,.123,.192
ZN,.208,.412
ZS,.130,.158

Table: Total Variance Explained
,Initial Eigenvalues,,,Extraction Sums of Squared Loadings,,,Rotation Sums of Squared Loadings,,
,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %
1,2.968,16.5%,16.5%,2.411,13.4%,13.4%,.   ,.  ,.  @&t@
2,2.026,11.3%,27.7%,1.271,7.1%,20.5%,.   ,.  ,-Infinity
3,1.622,9.0%,36.8%,.948,5.3%,25.7%,.   ,.  ,-Infinity
4,1.086,6.0%,42.8%,.283,1.6%,27.3%,.   ,.  ,-Infinity
5,.996,5.5%,48.3%,,,,,,
6,.923,5.1%,53.5%,,,,,,
7,.873,4.9%,58.3%,,,,,,
8,.856,4.8%,63.1%,,,,,,
9,.836,4.6%,67.7%,,,,,,
10,.816,4.5%,72.2%,,,,,,
11,.785,4.4%,76.6%,,,,,,
12,.740,4.1%,80.7%,,,,,,
13,.713,4.0%,84.7%,,,,,,
14,.653,3.6%,88.3%,,,,,,
15,.633,3.5%,91.8%,,,,,,
16,.604,3.4%,95.2%,,,,,,
17,.484,2.7%,97.9%,,,,,,
18,.386,2.1%,100.0%,,,,,,

Table: Factor Matrix
,Factor,,,
,1,2,3,4
PZ,-.276,.154,.510,.124
PN,.096,.129,-.091,.261
PS,.746,-.085,.234,.063
NZ,-.111,.323,.206,-.058
NN,.007,.260,-.083,-.069
NS,.366,.096,.046,.051
TZ,-.228,.172,.509,.059
TN,.131,.345,-.074,.029
TS,.601,-.005,.098,.030
OZ,-.145,.166,.322,-.081
ON,.607,.082,.073,-.173
OS,.757,-.059,.171,-.104
SZ,-.142,.307,.226,-.066
SN,.175,.436,-.183,.115
SS,.199,.206,-.083,.302
ZZ,-.074,.411,-.080,-.104
ZN,.015,.580,-.252,-.114
ZS,.365,.156,-.004,.015

Table: Pattern Matrix
,Factor,,,
,1,2,3,4
PZ,-.063,-.126,.599,.085
PN,-.035,.000,-.033,.325
PS,.762,-.175,.058,.081
NZ,.027,.230,.327,-.044
NN,.008,.289,.008,-.026
NS,.344,.044,.015,.091
TZ,.004,-.074,.589,.020
TN,.097,.307,.033,.103
TS,.585,-.043,-.017,.062
OZ,.046,.067,.382,-.109
ON,.654,.151,-.029,-.145
OS,.803,-.037,-.009,-.092
SZ,.009,.213,.345,-.060
SN,.065,.376,-.036,.227
SS,.054,.042,-.013,.388
ZZ,-.044,.434,.078,-.046
ZN,-.025,.646,-.041,-.006
ZS,.337,.133,-.013,.067

Table: Structure Matrix
,Factor,,,
,1,2,3,4
PZ,-.177,-.058,.598,-.022
PN,.068,.110,-.049,.317
PS,.771,-.138,-.136,.240
NZ,-.060,.236,.339,.019
NN,.000,.281,.027,.076
NS,.368,.080,-.068,.207
TZ,-.127,-.028,.582,-.049
TN,.122,.345,.023,.235
TS,.607,-.018,-.160,.221
OZ,-.074,.055,.384,-.101
ON,.619,.104,-.160,.102
OS,.778,-.064,-.190,.132
SZ,-.086,.215,.361,-.009
SN,.143,.453,-.044,.380
SS,.171,.176,-.052,.420
ZZ,-.073,.422,.120,.085
ZN,-.013,.641,.008,.214
ZS,.361,.158,-.088,.213

Table: Factor Correlation Matrix
Factor,1,2,3,4
1,1.000,.008,-.232,.294
2,.008,1.000,.065,.347
3,-.232,.065,1.000,-.076
4,.294,.347,-.076,1.000
])


AT_CLEANUP






AT_SETUP([FACTOR covariance matrix])

AT_DATA([covariance-matrix.sps], [dnl
set format = F10.3.
matrix data
    variables = rowtype_  var01 var02 var03 var04 var05 var06 var07 var08
    / format = lower diagonal .
begin data
mean     24.3  5.4  69.7  20.1  13.4  2.7  27.9  3.7
sd        5.7  1.5  23.5  5.8    2.8  4.5   5.4  1.5
n        92   92    92   92     92   92    92   92
cov   32.490000
cov   1.539000 2.250000
cov   -29.469000 -5.992500 552.250000
cov   11.901600 2.697000 -19.082000 33.640000
cov   4.309200 0.672000 -7.896000 3.572800 7.840000
cov   8.464500 1.012500 -17.977500 6.264000 2.646000 20.250000
cov   15.390000 2.349000 -25.380000 10.022400 1.814400 9.234000 29.160000
cov   1.453500 0.652500 -1.762500 1.740000 1.134000 1.350000 0.324000 2.250000
end data.

factor matrix in (cov = *)
    / method = covariance
    / print = initial covariance
    / extraction = pc
    / rotation = norotate.
])

AT_CHECK([pspp -O format=csv covariance-matrix.sps], [0], [dnl
Table: Covariance Matrix
,var01,var02,var03,var04,var05,var06,var07,var08
var01,32.490,1.539,-29.469,11.902,4.309,8.464,15.390,1.454
var02,1.539,2.250,-5.992,2.697,.672,1.013,2.349,.653
var03,-29.469,-5.992,552.250,-19.082,-7.896,-17.977,-25.380,-1.763
var04,11.902,2.697,-19.082,33.640,3.573,6.264,10.022,1.740
var05,4.309,.672,-7.896,3.573,7.840,2.646,1.814,1.134
var06,8.464,1.013,-17.977,6.264,2.646,20.250,9.234,1.350
var07,15.390,2.349,-25.380,10.022,1.814,9.234,29.160,.324
var08,1.454,.653,-1.763,1.740,1.134,1.350,.324,2.250

Table: Communalities
,Initial
var01,32.490
var02,2.250
var03,552.250
var04,33.640
var05,7.840
var06,20.250
var07,29.160
var08,2.250

Table: Total Variance Explained
,Initial Eigenvalues,,
,Total,% of Variance,Cumulative %
1,556.895,81.9%,81.9%
2,57.963,8.5%,90.4%
3,23.576,3.5%,93.9%
4,16.446,2.4%,96.3%
5,14.603,2.1%,98.4%
6,6.831,1.0%,99.4%
7,2.375,.3%,99.8%
8,1.440,.2%,100.0%

Table: Component Matrix
,Component,,,,,,
,1,2,3,4,5,6,7
var01,1.394,4.388,1.513,-2.851,.849,.396,.033
var02,.269,.460,-.173,.147,-.146,-.213,.872
var03,-23.489,.725,.058,.003,.022,-.012,.006
var04,.926,4.007,-4.068,.241,-.253,.218,-.026
var05,.363,.829,-.172,-.255,.805,-2.492,.058
var06,.843,2.354,.971,2.425,2.649,.392,.046
var07,1.205,3.948,1.926,1.515,-2.450,-.317,-.087
var08,.085,.319,-.157,-.011,.353,-.341,-.816
])

AT_CLEANUP



dnl A more realistic example of factor analysis usage.
AT_SETUP([FACTOR correlation matrix])

AT_DATA([correlation-matrix.sps], [dnl
set format = F10.3.

matrix data
    variables = rowtype_
    cdi_actws_16  cdi_maxzin_16  rdls_passws_16  rdls_actws_16  cdi_actws_20  cdi_maxzin_20  cdi_actws_26  cdi_maxzin_26  rdls_passws_26  rdls_actws_26
    nepsy_passws_36  morf_verv_36  bnt_actws_36  klankgr_id_36  snelnoe_36  letters_36  ppvt_passws_50  morf_verv_50
    nepsy_passws_56  bnt_actws_56  klank_gr_weg_56  snelnoe_56  letters_56
    leesacc_wo_owo_811  leesacc_tekst_811  leesacc_otekst_811  leessne_wo_owo_811  leesvl_tekst_811  leesvl_otekst_811  leessne_wo_811  spel_wo_owo_811
    / format = upper diagonal .
begin data
mean  64.44  1.74  15.30  11.50  269.03  5.37  441.90  8.57  36.59  33.99  11.68  14.74  18.67  6.70  71.57  2.28  70.45  51.82  18.82  34.57  11.68  45.63  12.94  35.08  92.60  79.28  2.78  61.71  29.44  9.46  13.17
sd   74.93  1.36  5.51  4.17  159.26  2.76  128.77  3.50  6.20  6.50  3.55  8.37  5.90  3.01  24.81  4.09  24.44  18.55  2.90  6.46  3.01  14.06  7.69  4.36  7.10  17.57  1.27  25.68  11.75  3.36  4.13
n     150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150
corr    1.00  .784  .397  .862  .692  .625  .490  .374  .406  .371  .260  .257  .306  .118  -.148  .072  .202  .234  .198  .241  .205  -.054  .246  .166  .143  .155  -.122  .144  -.010  .135  .241
corr    1.00  .333  .751  .549  .553  .447  .313  .304  .377  .204  .249  .258  .193  -.158  .119  .150  .216  .127  .209  .242  .046  .233  .120  .155  .107  -.126  .147  -.009  .134  .208
corr    1.00  .469  .433  .381  .442  .307  .462  .391  .378  .293  .369  .191  -.306  .238  .204  .215  .295  .285  .157  .069  .241  .029  .060  .054  -.043  .124  -.069  .054  .136
corr    1.00  .708  .663  .509  .419  .434  .432  .267  .255  .342  .132  -.192  .142  .228  .203  .248  .260  .200  -.051  .254  .136  .156  .109  -.126  .172  -.004  .157  .268
corr    1.00  .787  .710  .567  .402  .511  .274  .285  .332  .154  -.096  .247  .253  .235  .245  .257  .261  -.048  .243  .119  .194  .164  -.108  .184  .011  .157  .235
corr    1.00  .590  .646  .449  .505  .313  .322  .405  .148  -.117  .152  .294  .322  .252  .321  .267  -.055  .255  .118  .178  .137  -.110  .182  .004  .146  .216
corr    1.00  .548  .343  .619  .296  .260  .456  .149  -.098  .252  .279  .267  .342  .361  .186  -.066  .215  .107  .148  .059  -.114  .156  -.035  .095  .220
corr    1.00  .406  .509  .397  .236  .416  .037  -.179  .192  .334  .293  .277  .367  .162  -.150  .306  .171  .307  .173  -.128  .255  .075  .224  .315
corr    1.00  .410  .497  .560  .574  .240  -.301  .204  .508  .351  .457  .428  .242  -.117  .367  .136  .191  .191  -.102  .215  .053  .185  .273
corr    1.00  .328  .258  .534  .236  -.202  .200  .333  .209  .352  .375  .302  -.119  .272  .062  .203  .042  -.092  .220  .020  .158  .227
corr    1.00  .439  .488  .323  -.213  .287  .507  .427  .493  .522  .298  -.142  .371  .109  .215  .213  -.048  .228  .009  .133  .267
corr    1.00  .437  .381  -.158  .153  .403  .430  .383  .379  .150  -.141  .303  .115  .131  .155  -.170  .206  .039  .193  .254
corr    1.00  .247  -.143  .182  .521  .364  .415  .688  .304  -.185  .327  .188  .211  .202  -.111  .272  .122  .226  .301
corr    1.00  -.150  .229  .296  .249  .329  .255  .210  -.036  .252  .141  .230  .112  -.195  .309  .135  .250  .195
corr    1.00  -.132  -.204  -.162  -.284  -.166  -.189  .294  -.339  -.094  -.218  -.144  .153  -.246  -.128  -.192  -.239
corr    1.00  .151  .132  .166  .195  .387  -.214  .476  .154  .187  .167  -.236  .410  .316  .370  .245
corr    1.00  .388  .479  .591  .294  -.171  .351  .102  .245  .180  .003  .274  .059  .178  .236
corr    1.00  .408  .437  .276  -.153  .353  .251  .318  .229  -.111  .263  .042  .203  .349
corr    1.00  .467  .234  -.249  .382  .199  .313  .197  -.117  .263  .047  .215  .318
corr    1.00  .368  -.199  .441  .198  .224  .197  -.099  .329  .105  .256  .322
corr    1.00  -.211  .473  .233  .253  .268  -.198  .397  .229  .309  .277
corr    1.00  -.310  -.217  -.312  -.203  .227  -.296  -.260  -.276  -.321
corr    1.00  .368  .350  .311  -.313  .578  .338  .521  .458
corr    1.00  .415  .580  -.588  .545  .497  .635  .683
corr    1.00  .570  -.386  .494  .340  .538  .524
corr    1.00  -.366  .427  .299  .498  .506
corr    1.00  -.684  -.620  -.746  -.568
corr    1.00  .759  .900  .555
corr    1.00  .814  .400
corr    1.00  .621
corr    1.00
end data .

factor  matrix in (cor = *)
    / analysis = cdi_actws_16 rdls_actws_16 cdi_actws_20 cdi_actws_26 rdls_actws_26 bnt_actws_36 bnt_actws_56
    / format = default
    / criteria = factors (1)
    / extraction = pc
    / rotation = norotate
    / print = initial extraction .

])

AT_CHECK([pspp -O format=csv correlation-matrix.sps], [0], [dnl
Table: Communalities
,Initial,Extraction
cdi_actws_16,1.000,.614
rdls_actws_16,1.000,.660
cdi_actws_20,1.000,.695
cdi_actws_26,1.000,.650
rdls_actws_26,1.000,.536
bnt_actws_36,1.000,.443
bnt_actws_56,1.000,.316

Table: Total Variance Explained
,Initial Eigenvalues,,,Extraction Sums of Squared Loadings,,
,Total,% of Variance,Cumulative %,Total,% of Variance,Cumulative %
1,3.914,55.9%,55.9%,3.914,55.9%,55.9%
2,1.320,18.9%,74.8%,,,
3,.716,10.2%,85.0%,,,
4,.422,6.0%,91.0%,,,
5,.278,4.0%,95.0%,,,
6,.216,3.1%,98.1%,,,
7,.135,1.9%,100.0%,,,

Table: Component Matrix
,Component
,1
cdi_actws_16,.784
rdls_actws_16,.812
cdi_actws_20,.834
cdi_actws_26,.806
rdls_actws_26,.732
bnt_actws_36,.666
bnt_actws_56,.562
])

AT_CLEANUP


AT_SETUP([FACTOR bad input])

dnl Test for a crash
AT_DATA([bad-input.sps], [dnl
set format = F10.3.
MATRIX DATA VARIABLES S1 ROWTYPE_ V1 TO V3 /SPLIT=S1.
BEGIN DATA
0 MEAN 2 4 3
0 SD 1 2 3
0 N 9 9 9
0 KORR 1
0 CORV .6 1
0 CORR .7 .8 1
1 MEAN 9 8 7
1 SD 5 6 7
1 N 9 9 9
1 CORR 1
X CORR .4 1
1 CORR .3 .2 1
END DATA.

EXECUTE.

FACTOR MATRIX IN (CORR =!*)
       /PRINT = CORRELATION
       .
])

AT_CHECK([pspp -O format=csv bad-input.sps], [1], [ignore])

AT_CLEANUP


AT_SETUP([FACTOR anti-image matrix])

AT_DATA([anti-image-matrix.sps], [dnl
SET FORMAT=F20.3 .
matrix data
 variables = rowtype_ viq piq pa ran piatwr  piatc
 / n = 476
 / format = lower diagonal .
begin data
mean  96.88  100.51  -1.73  -0.94  -2.52 -1.85
sd    10.97   11.19   1.19   0.88   0.85  0.97
corr    1.00
corr    0.38  1.00
corr    0.26  0.24  1.00
corr    0.16  0.17  0.34  1.00
corr    0.25  0.07  0.46  0.38  1.00
corr    0.37  0.22  0.39  0.30  0.59   1.00
end data.

factor matrix = in (cor = *)
 / analysis = viq piq pa ran piatwr piatc
 / format = sort
 / extraction = pc
 / rotation = norotate
 / print = aic
])

AT_CHECK([pspp -O format=csv anti-image-matrix.sps], [0], [dnl
Table: Anti-Image Matrices
,,viq,piq,pa,ran,piatwr,piatc
Anti-image Covariance,viq,.762,-.248,-.048,.008,-.031,-.143
,piq,-.248,.807,-.117,-.081,.108,-.071
,pa,-.048,-.117,.711,-.125,-.173,-.060
,ran,.008,-.081,-.125,.808,-.143,-.035
,piatwr,-.031,.108,-.173,-.143,.551,-.265
,piatc,-.143,-.071,-.060,-.035,-.265,.581
Anti-image Correlation,viq,.741,-.316,-.066,.011,-.048,-.215
,piq,-.316,.624,-.154,-.100,.163,-.103
,pa,-.066,-.154,.811,-.165,-.277,-.093
,ran,.011,-.100,-.165,.825,-.214,-.051
,piatwr,-.048,.163,-.277,-.214,.675,-.469
,piatc,-.215,-.103,-.093,-.051,-.469,.729

Table: Component Matrix
,Component,,,,
,1,2,3,4,5
piatc,.774,.122,-.368,.365,-.322
piatwr,.754,.418,.442,.219,-.115
pa,.707,.124,-.117,-.161,.256
piq,.456,-.733,.122,-.289,-.377
viq,.589,-.539,.033,.298,.457
ran,.592,.262,-.069,-.638,.096
])

AT_CLEANUP


AT_SETUP([FACTOR Kaiser-Meyer-Olkin])

AT_DATA([kmo.sps], [dnl
SET FORMAT=F20.3 .
matrix data
 variables = rowtype_ viq piq pa ran piatwr  piatc
 / n = 476
 / format = lower diagonal .
begin data
mean  96.88  100.51  -1.73  -0.94  -2.52 -1.85
sd    10.97   11.19   1.19   0.88   0.85  0.97
corr    1.00
corr    0.38  1.00
corr    0.26  0.24  1.00
corr    0.16  0.17  0.34  1.00
corr    0.25  0.07  0.46  0.38  1.00
corr    0.37  0.22  0.39  0.30  0.59   1.00
end data.

factor matrix = in (cor = *)
 / analysis = viq piq pa ran piatwr piatc
 / extraction = pc
 / rotation = norotate
 / print = kmo
])

AT_CHECK([pspp -O format=csv kmo.sps], [0], [dnl
Table: KMO and Bartlett's Test
Kaiser-Meyer-Olkin Measure of Sampling Adequacy,,.730
Bartlett's Test of Sphericity,Approx. Chi-Square,602.673
,df,15
,Sig.,.000

Table: Component Matrix
,Component,,,,
,1,2,3,4,5
viq,.589,-.539,.033,.298,.457
piq,.456,-.733,.122,-.289,-.377
pa,.707,.124,-.117,-.161,.256
ran,.592,.262,-.069,-.638,.096
piatwr,.754,.418,.442,.219,-.115
piatc,.774,.122,-.368,.365,-.322
])

AT_CLEANUP

AT_SETUP([FACTOR syntax errors])
AT_DATA([factor.sps], [dnl
DATA LIST LIST NOTABLE /x y.
FACTOR VARIABLES=**.
FACTOR MATRIX=**.
FACTOR MATRIX=IN **.
FACTOR MATRIX=IN(**).
FACTOR MATRIX=IN(CORR **).
FACTOR MATRIX=IN(CORR=**).
FACTOR MATRIX=IN(CORR=* **).
FACTOR **.
FACTOR VARIABLES=x/ANALYSIS=**.
FACTOR VARIABLES=x/PLOT=**.
FACTOR VARIABLES=x/METHOD=**.
FACTOR VARIABLES=x/ROTATION=PROMAX(**).
FACTOR VARIABLES=x/ROTATION=PROMAX(123 **).
FACTOR VARIABLES=x/ROTATION=**.
FACTOR VARIABLES=x/CRITERIA=FACTORS **.
FACTOR VARIABLES=x/CRITERIA=FACTORS(**).
FACTOR VARIABLES=x/CRITERIA=FACTORS(123 **).
FACTOR VARIABLES=x/CRITERIA=MINEIGEN **.
FACTOR VARIABLES=x/CRITERIA=MINEIGEN(**).
FACTOR VARIABLES=x/CRITERIA=MINEIGEN(123 **).
FACTOR VARIABLES=x/CRITERIA=ECONVERGE **.
FACTOR VARIABLES=x/CRITERIA=ECONVERGE(**).
FACTOR VARIABLES=x/CRITERIA=ECONVERGE(123 **).
FACTOR VARIABLES=x/CRITERIA=RCONVERGE **.
FACTOR VARIABLES=x/CRITERIA=RCONVERGE(**).
FACTOR VARIABLES=x/CRITERIA=RCONVERGE(123 **).
FACTOR VARIABLES=x/CRITERIA=**.
FACTOR VARIABLES=x/EXTRACTION=**.
FACTOR VARIABLES=x/FORMAT=BLANK **.
FACTOR VARIABLES=x/FORMAT=BLANK(**).
FACTOR VARIABLES=x/FORMAT=BLANK(123 **).
FACTOR VARIABLES=x/FORMAT=**.
FACTOR VARIABLES=x/PRINT=**.
FACTOR VARIABLES=x/MISSING=**.
FACTOR VARIABLES=x/ **.
FACTOR VARIABLES=x.
])
AT_CHECK([pspp -O format=csv factor.sps], [1], [dnl
"factor.sps:2.18-2.19: error: FACTOR: Syntax error expecting variable name.
    2 | FACTOR VARIABLES=**.
      |                  ^~"

"factor.sps:3.15-3.16: error: FACTOR: Syntax error expecting `IN('.
    3 | FACTOR MATRIX=**.
      |               ^~"

"factor.sps:4.15-4.19: error: FACTOR: Syntax error expecting `IN('.
    4 | FACTOR MATRIX=IN **.
      |               ^~~~~"

"factor.sps:5.18-5.19: error: FACTOR: Matrix input for FACTOR must be either COV or CORR.
    5 | FACTOR MATRIX=IN(**).
      |                  ^~"

"factor.sps:6.23-6.24: error: FACTOR: Syntax error expecting `='.
    6 | FACTOR MATRIX=IN(CORR **).
      |                       ^~"

"factor.sps:7.23-7.24: error: FACTOR: Syntax error expecting a file name or handle name.
    7 | FACTOR MATRIX=IN(CORR=**).
      |                       ^~"

"factor.sps:8.25-8.26: error: FACTOR: Syntax error expecting `)'.
    8 | FACTOR MATRIX=IN(CORR=* **).
      |                         ^~"

"factor.sps:10.29-10.30: error: FACTOR: Syntax error expecting variable name.
   10 | FACTOR VARIABLES=x/ANALYSIS=**.
      |                             ^~"

"factor.sps:11.25-11.26: error: FACTOR: Syntax error expecting EIGEN.
   11 | FACTOR VARIABLES=x/PLOT=**.
      |                         ^~"

"factor.sps:12.27-12.28: error: FACTOR: Syntax error expecting COVARIANCE or CORRELATION.
   12 | FACTOR VARIABLES=x/METHOD=**.
      |                           ^~"

"factor.sps:13.36-13.37: error: FACTOR: Syntax error expecting integer.
   13 | FACTOR VARIABLES=x/ROTATION=PROMAX(**).
      |                                    ^~"

"factor.sps:14.40-14.41: error: FACTOR: Syntax error expecting `)'.
   14 | FACTOR VARIABLES=x/ROTATION=PROMAX(123 **).
      |                                        ^~"

"factor.sps:15.29-15.30: error: FACTOR: Syntax error expecting DEFAULT, VARIMAX, EQUAMAX, QUARTIMAX, PROMAX, or NOROTATE.
   15 | FACTOR VARIABLES=x/ROTATION=**.
      |                             ^~"

"factor.sps:16.37-16.38: error: FACTOR: Syntax error expecting `('.
   16 | FACTOR VARIABLES=x/CRITERIA=FACTORS **.
      |                                     ^~"

"factor.sps:17.37-17.38: error: FACTOR: Syntax error expecting integer.
   17 | FACTOR VARIABLES=x/CRITERIA=FACTORS(**).
      |                                     ^~"

"factor.sps:18.41-18.42: error: FACTOR: Syntax error expecting `)'.
   18 | FACTOR VARIABLES=x/CRITERIA=FACTORS(123 **).
      |                                         ^~"

"factor.sps:19.38-19.39: error: FACTOR: Syntax error expecting `('.
   19 | FACTOR VARIABLES=x/CRITERIA=MINEIGEN **.
      |                                      ^~"

"factor.sps:20.38-20.39: error: FACTOR: Syntax error expecting number.
   20 | FACTOR VARIABLES=x/CRITERIA=MINEIGEN(**).
      |                                      ^~"

"factor.sps:21.42-21.43: error: FACTOR: Syntax error expecting `)'.
   21 | FACTOR VARIABLES=x/CRITERIA=MINEIGEN(123 **).
      |                                          ^~"

"factor.sps:22.39-22.40: error: FACTOR: Syntax error expecting `('.
   22 | FACTOR VARIABLES=x/CRITERIA=ECONVERGE **.
      |                                       ^~"

"factor.sps:23.39-23.40: error: FACTOR: Syntax error expecting number.
   23 | FACTOR VARIABLES=x/CRITERIA=ECONVERGE(**).
      |                                       ^~"

"factor.sps:24.43-24.44: error: FACTOR: Syntax error expecting `)'.
   24 | FACTOR VARIABLES=x/CRITERIA=ECONVERGE(123 **).
      |                                           ^~"

"factor.sps:25.39-25.40: error: FACTOR: Syntax error expecting `('.
   25 | FACTOR VARIABLES=x/CRITERIA=RCONVERGE **.
      |                                       ^~"

"factor.sps:26.39-26.40: error: FACTOR: Syntax error expecting number.
   26 | FACTOR VARIABLES=x/CRITERIA=RCONVERGE(**).
      |                                       ^~"

"factor.sps:27.43-27.44: error: FACTOR: Syntax error expecting `)'.
   27 | FACTOR VARIABLES=x/CRITERIA=RCONVERGE(123 **).
      |                                           ^~"

"factor.sps:28.29-28.30: error: FACTOR: Syntax error expecting FACTORS, MINEIGEN, ECONVERGE, RCONVERGE, ITERATE, or DEFAULT.
   28 | FACTOR VARIABLES=x/CRITERIA=**.
      |                             ^~"

"factor.sps:29.31-29.32: error: FACTOR: Syntax error expecting PAF, PC, PA1, or DEFAULT.
   29 | FACTOR VARIABLES=x/EXTRACTION=**.
      |                               ^~"

"factor.sps:30.33-30.34: error: FACTOR: Syntax error expecting `('.
   30 | FACTOR VARIABLES=x/FORMAT=BLANK **.
      |                                 ^~"

"factor.sps:31.33-31.34: error: FACTOR: Syntax error expecting number.
   31 | FACTOR VARIABLES=x/FORMAT=BLANK(**).
      |                                 ^~"

"factor.sps:32.37-32.38: error: FACTOR: Syntax error expecting `)'.
   32 | FACTOR VARIABLES=x/FORMAT=BLANK(123 **).
      |                                     ^~"

"factor.sps:33.27-33.28: error: FACTOR: Syntax error expecting SORT, BLANK, or DEFAULT.
   33 | FACTOR VARIABLES=x/FORMAT=**.
      |                           ^~"

"factor.sps:34.26-34.27: error: FACTOR: Syntax error expecting one of the following: UNIVARIATE, DET, AIC, SIG, CORRELATION, COVARIANCE, ROTATION, EXTRACTION, INITIAL, KMO, ALL, DEFAULT.
   34 | FACTOR VARIABLES=x/PRINT=**.
      |                          ^~"

"factor.sps:35.28-35.29: error: FACTOR: Syntax error expecting INCLUDE, EXCLUDE, LISTWISE, PAIRRWISE, or MEANSUB.
   35 | FACTOR VARIABLES=x/MISSING=**.
      |                            ^~"

"factor.sps:36.21-36.22: error: FACTOR: Syntax error expecting one of the following: ANALYSIS, PLOT, METHOD, ROTATION, CRITERIA, EXTRACTION, FORMAT, PRINT, MISSING.
   36 | FACTOR VARIABLES=x/ **.
      |                     ^~"

"factor.sps:37.18: warning: FACTOR: Factor analysis on a single variable is not useful.
   37 | FACTOR VARIABLES=x.
      |                  ^"

error: FACTOR: At end of input: Syntax error expecting `BEGIN DATA'.
])
AT_CLEANUP