CROSSTABS: Fix T values for Spearman's R and Pearson's R.

[pspp] / tests / language / stats / crosstabs.at

diff --git a/tests/language/stats/crosstabs.at b/tests/language/stats/crosstabs.at
index 4492e9a25002be3cbc73a4a0a96bfa5fdb9b501e..ec2d313add8e922eefe7cafb8998725ab0f247f8 100644 (file)
--- a/tests/language/stats/crosstabs.at
+++ b/tests/language/stats/crosstabs.at
@@ -175,9 +175,9 @@ Total,2.00,2.00,4.00
 
 Table: Chi-square tests.
 Statistic,Value,df,Asymp. Sig. (2-tailed)
-Pearson Chi-Square,2.00,2,.37
-Likelihood Ratio,2.77,2,.25
-Linear-by-Linear Association,.27,1,.60
+Pearson Chi-Square,2.00,2,.368
+Likelihood Ratio,2.77,2,.250
+Linear-by-Linear Association,.27,1,.602
 N of Valid Cases,4,,
 ]])
 AT_CLEANUP
@@ -207,6 +207,7 @@ CROSSTABS
     /STATISTICS=CHISQ
     /CELLS=COUNT ROW COLUMN TOTAL.
 ])
+
 AT_CHECK([pspp -O format=csv crosstabs.sps], [0],
   [[Variable,Value,Label
 v0,a ,
@@ -235,10 +236,10 @@ Total,4.00,2.00,6.00
 
 Table: Chi-square tests.
 Statistic,Value,df,Asymp. Sig. (2-tailed),Exact Sig. (2-tailed),Exact Sig. (1-tailed)
-Pearson Chi-Square,.38,1,.54,,
-Likelihood Ratio,.37,1,.54,,
-Fisher's Exact Test,,,,1.00,.60
-Continuity Correction,.00,1,1.00,,
+Pearson Chi-Square,.38,1,.540,,
+Likelihood Ratio,.37,1,.545,,
+Fisher's Exact Test,,,,1.000,.600
+Continuity Correction,.00,1,1.000,,
 N of Valid Cases,6,,,,
 
 Variable,Value,Label
@@ -268,10 +269,10 @@ Total,1.00,3.00,4.00
 
 Table: Chi-square tests.
 Statistic,Value,df,Asymp. Sig. (2-tailed),Exact Sig. (2-tailed),Exact Sig. (1-tailed)
-Pearson Chi-Square,.44,1,.50,,
-Likelihood Ratio,.68,1,.41,,
-Fisher's Exact Test,,,,1.00,.75
-Continuity Correction,.00,1,1.00,,
+Pearson Chi-Square,.44,1,.505,,
+Likelihood Ratio,.68,1,.410,,
+Fisher's Exact Test,,,,1.000,.750
+Continuity Correction,.00,1,1.000,,
 N of Valid Cases,4,,,,
 ]])
 AT_CLEANUP
@@ -343,13 +344,13 @@ Total,,3.00,1.00,4.00
 
 Table: Chi-square tests.
 z,Statistic,Value,df,Asymp. Sig. (2-tailed)
-1,Pearson Chi-Square,5.00,4,.29
-,Likelihood Ratio,5.00,4,.29
-,Linear-by-Linear Association,.01,1,.94
+1,Pearson Chi-Square,5.00,4,.287
+,Likelihood Ratio,5.00,4,.287
+,Linear-by-Linear Association,.01,1,.938
 ,N of Valid Cases,5,,
-2,Pearson Chi-Square,4.00,3,.26
-,Likelihood Ratio,4.50,3,.21
-,Linear-by-Linear Association,1.58,1,.21
+2,Pearson Chi-Square,4.00,3,.261
+,Likelihood Ratio,4.50,3,.212
+,Linear-by-Linear Association,1.58,1,.209
 ,N of Valid Cases,4,,
 
 Table: Symmetric measures.
@@ -361,7 +362,7 @@ z,Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
 ,,Kendall's tau-c,.00,.32,.00,
 ,,Gamma,.00,.50,.00,
 ,,Spearman Correlation,.00,.22,.00,
-,Interval by Interval,Pearson's R,.04,.22,.18,
+,Interval by Interval,Pearson's R,.04,.22,.07,
 ,N of Valid Cases,,5,,,
 2,Nominal by Nominal,Phi,1.00,,,
 ,,Cramer's V,1.00,,,
@@ -369,8 +370,8 @@ z,Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
 ,Ordinal by Ordinal,Kendall's tau-b,-.71,.20,-1.73,
 ,,Kendall's tau-c,-.75,.43,-1.73,
 ,,Gamma,-1.00,.00,-1.73,
-,,Spearman Correlation,-.77,.17,-6.77,
-,Interval by Interval,Pearson's R,-.73,.18,-5.49,
+,,Spearman Correlation,-.77,.17,-1.73,
+,Interval by Interval,Pearson's R,-.73,.18,-1.49,
 ,N of Valid Cases,,4,,,
 
 Table: Directional measures.
@@ -462,3 +463,504 @@ X1 * X2,0,0.0%,1,100.0%,1,100.0%
 crosstabs.sps:8: warning: CROSSTABS: Crosstabulation X1 * X2 contained no non-missing cases.
 ])
 AT_CLEANUP
+
+
+
+dnl This example comes from http://www.ats.ucla.edu/stat/spss/whatstat/whatstat.htm#chisq
+AT_SETUP([CROSSTABS Fisher Exact Test])
+
+AT_DATA([fisher-exact.sps], [dnl
+SET FORMAT F12.3.
+SET DECIMAL DOT.
+
+DATA LIST notable LIST  /schtyp (F9.2) female (F9.2) ses (F9.2) .
+begin data.
+      1.00       .00      1.00 
+      1.00      1.00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      1.00 
+      1.00       .00      3.00 
+      2.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      2.00       .00      2.00 
+      2.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      2.00       .00      3.00 
+      1.00       .00      2.00 
+      2.00       .00      3.00 
+      1.00       .00      3.00 
+      2.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      2.00       .00      2.00 
+      2.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      1.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      2.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      2.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      2.00       .00      2.00 
+      1.00       .00      2.00 
+      2.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      2.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      1.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      2.00 
+      1.00       .00      1.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      1.00 
+      2.00       .00      2.00 
+      1.00       .00      1.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      3.00 
+      1.00       .00      2.00 
+      1.00       .00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      2.00      1.00      3.00 
+      1.00      1.00      3.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      2.00      1.00      1.00 
+      2.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      2.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      2.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      2.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      2.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      2.00      1.00      3.00 
+      1.00      1.00      2.00 
+      2.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      2.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      1.00 
+      2.00      1.00      2.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      2.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      2.00 
+      1.00      1.00      2.00 
+      2.00      1.00      3.00 
+      1.00      1.00      1.00 
+      1.00      1.00      1.00 
+      2.00      1.00      3.00 
+      2.00      1.00      2.00 
+      1.00      1.00      3.00 
+      2.00      1.00      2.00 
+      2.00      1.00      2.00 
+      1.00      1.00      2.00 
+      2.00      1.00      2.00 
+      1.00      1.00      2.00 
+      1.00      1.00      3.00 
+end data.
+
+VARIABLE LABEL schtyp 'type of school'.
+ADD VALUE LABELS female 0 male 1 female.
+ADD VALUE LABELS ses 1 low 2 middle 3 high.
+ADD VALUE LABELS schtyp 1 public 2 private.
+
+crosstabs /tables = schtyp by female /statistic = chisq.
+crosstabs /tables = female by ses  /statistic = chisq.
+])
+
+AT_CHECK([pspp -O format=csv fisher-exact.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+type of school * female,200,100.0%,0,0.0%,200,100.0%
+
+Table: type of school * female [[count]].
+,female,,
+type of school,male,female,Total
+public,77.000,91.000,168.000
+private,14.000,18.000,32.000
+Total,91.000,109.000,200.000
+
+Table: Chi-square tests.
+Statistic,Value,df,Asymp. Sig. (2-tailed),Exact Sig. (2-tailed),Exact Sig. (1-tailed)
+Pearson Chi-Square,.047,1,.828,,
+Likelihood Ratio,.047,1,.828,,
+Fisher's Exact Test,,,,.849,.492
+Continuity Correction,.001,1,.981,,
+Linear-by-Linear Association,.047,1,.829,,
+N of Valid Cases,200,,,,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+female * ses,200,100.0%,0,0.0%,200,100.0%
+
+Table: female * ses [[count]].
+,ses,,,
+female,low,middle,high,Total
+male,15.000,47.000,29.000,91.000
+female,32.000,48.000,29.000,109.000
+Total,47.000,95.000,58.000,200.000
+
+Table: Chi-square tests.
+Statistic,Value,df,Asymp. Sig. (2-tailed)
+Pearson Chi-Square,4.577,2,.101
+Likelihood Ratio,4.679,2,.096
+Linear-by-Linear Association,3.110,1,.078
+N of Valid Cases,200,,
+])
+
+AT_CLEANUP
+
+AT_SETUP([CROSSTABS Pearson's R])
+# Test 1.
+AT_DATA([pearson.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://www.statisticslectures.com/topics/pearsonr/.
+DATA LIST FREE/x y.
+BEGIN DATA.
+1 4
+3 6
+5 10
+5 12
+6 13
+END DATA.
+CROSSTABS x BY y/STATISTICS=CORR.
+])
+AT_CHECK([pspp -O format=csv pearson.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,5,100.0%,0,0.0%,5,100.0%
+
+Table: x * y [[count]].
+,y,,,,,
+x,4.000,6.000,10.000,12.000,13.000,Total
+1.000,1.000,.000,.000,.000,.000,1.000
+3.000,.000,1.000,.000,.000,.000,1.000
+5.000,.000,.000,1.000,1.000,.000,2.000
+6.000,.000,.000,.000,.000,1.000,1.000
+Total,1.000,1.000,1.000,1.000,1.000,5.000
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Spearman Correlation,.975,.022,7.550,
+Interval by Interval,Pearson's R,.968,.017,6.708,
+N of Valid Cases,,5,,,
+])
+
+# Test 2.
+AT_DATA([pearson2.sps], [dnl
+SET FORMAT F8.3.
+
+* Checked with http://www.socscistatistics.com/tests/pearson/Default2.aspx.
+DATA LIST FREE/x y.
+BEGIN DATA.
+1 1.5
+2 1.5
+3 4
+4 6
+5 5
+6 7
+7 6.5
+8 9
+9 10.5
+10 11
+END DATA.
+CROSSTABS x BY y/STATISTICS=CORR.
+])
+AT_CHECK([pspp -O format=csv pearson2.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,10,100.0%,0,0.0%,10,100.0%
+
+Table: x * y [[count]].
+,y,,,,,,,,,
+x,1.500,4.000,5.000,6.000,6.500,7.000,9.000,10.500,11.000,Total
+1.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+2.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+3.000,.000,1.000,.000,.000,.000,.000,.000,.000,.000,1.000
+4.000,.000,.000,.000,1.000,.000,.000,.000,.000,.000,1.000
+5.000,.000,.000,1.000,.000,.000,.000,.000,.000,.000,1.000
+6.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,1.000
+7.000,.000,.000,.000,.000,1.000,.000,.000,.000,.000,1.000
+8.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,1.000
+9.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,1.000
+10.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,1.000
+Total,2.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,10.000
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Spearman Correlation,.973,.015,11.844,
+Interval by Interval,Pearson's R,.971,.017,11.580,
+N of Valid Cases,,10,,,
+])
+
+# Test 3.
+AT_DATA([pearson3.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://learntech.uwe.ac.uk/da/Default.aspx?pageid=1442.
+DATA LIST FREE/x y.
+BEGIN DATA.
+56 87
+56 91
+65 85
+65 91
+50 75
+25 28
+87 122
+44 66
+35 58
+END DATA.
+CROSSTABS x BY y/STATISTICS=CORR.
+])
+AT_CHECK([pspp -O format=csv pearson3.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,9,100.0%,0,0.0%,9,100.0%
+
+Table: x * y [[count]].
+,y,,,,,,,,
+x,28.000,58.000,66.000,75.000,85.000,87.000,91.000,122.000,Total
+25.000,1.000,.000,.000,.000,.000,.000,.000,.000,1.000
+35.000,.000,1.000,.000,.000,.000,.000,.000,.000,1.000
+44.000,.000,.000,1.000,.000,.000,.000,.000,.000,1.000
+50.000,.000,.000,.000,1.000,.000,.000,.000,.000,1.000
+56.000,.000,.000,.000,.000,.000,1.000,1.000,.000,2.000
+65.000,.000,.000,.000,.000,1.000,.000,1.000,.000,2.000
+87.000,.000,.000,.000,.000,.000,.000,.000,1.000,1.000
+Total,1.000,1.000,1.000,1.000,1.000,1.000,2.000,1.000,9.000
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Spearman Correlation,.911,.068,5.860,
+Interval by Interval,Pearson's R,.966,.017,9.915,
+N of Valid Cases,,9,,,
+])
+
+# Test 4.
+AT_DATA([pearson4.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://psychology.ucdavis.edu/faculty_sites/sommerb/sommerdemo/correlation/hand/pearson_hand.htm.
+DATA LIST FREE/x y.
+BEGIN DATA.
+5 5
+10 20
+6 4
+8 15
+4 11
+4 9
+3 12
+10 18
+2 7
+6 2
+7 14
+9 17
+END DATA.
+CROSSTABS x BY y/STATISTICS=CORR.
+])
+AT_CHECK([pspp -O format=csv pearson4.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,12,100.0%,0,0.0%,12,100.0%
+
+Table: x * y [[count]].
+,y,,,,,,,,,,,,
+x,2.000,4.000,5.000,7.000,9.000,11.000,12.000,14.000,15.000,17.000,18.000,20.000,Total
+2.000,.000,.000,.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+3.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,.000,.000,1.000
+4.000,.000,.000,.000,.000,1.000,1.000,.000,.000,.000,.000,.000,.000,2.000
+5.000,.000,.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+6.000,1.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,2.000
+7.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,.000,1.000
+8.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,1.000
+9.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,1.000
+10.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,1.000,2.000
+Total,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,12.000
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Spearman Correlation,.657,.140,2.758,
+Interval by Interval,Pearson's R,.667,.132,2.830,
+N of Valid Cases,,12,,,
+])
+
+# Test 5.
+AT_DATA([pearson5.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://www.statisticslectures.com/topics/pearsonr/.
+DATA LIST FREE/x y.
+BEGIN DATA.
+18 15000
+25 29000
+57 68000
+45 52000
+26 32000
+64 80000
+37 41000
+40 45000
+24 26000
+33 33000
+END DATA.
+CROSSTABS x BY y/STATISTICS=CORR.
+])
+AT_CHECK([pspp -O format=csv pearson5.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,10,100.0%,0,0.0%,10,100.0%
+
+Table: x * y [[count]].
+,y,,,,,,,,,,
+x,15000.000,26000.000,29000.000,32000.000,33000.000,41000.000,45000.000,52000.000,68000.000,80000.000,Total
+18.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+24.000,.000,1.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000
+25.000,.000,.000,1.000,.000,.000,.000,.000,.000,.000,.000,1.000
+26.000,.000,.000,.000,1.000,.000,.000,.000,.000,.000,.000,1.000
+33.000,.000,.000,.000,.000,1.000,.000,.000,.000,.000,.000,1.000
+37.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,.000,1.000
+40.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,.000,1.000
+45.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,.000,1.000
+57.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,.000,1.000
+64.000,.000,.000,.000,.000,.000,.000,.000,.000,.000,1.000,1.000
+Total,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,1.000,10.000
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Spearman Correlation,1.000,.000,+Infinity,
+Interval by Interval,Pearson's R,.992,.004,22.638,
+N of Valid Cases,,10,,,
+])
+AT_CLEANUP