X-Git-Url: https://pintos-os.org/cgi-bin/gitweb.cgi?a=blobdiff_plain;f=tests%2Flanguage%2Fstats%2Fcrosstabs.at;h=c33857b8f2eaa45805efdc847765b5b4d0fad8ca;hb=ef28191d9249de6ba14312b4faabcb11d382cdb1;hp=b0da517f9828f9dc7f032bc304a64b84082daf9b;hpb=777b94603f5d72d0037bb9a716b1705dd3193b06;p=pspp

diff --git a/tests/language/stats/crosstabs.at b/tests/language/stats/crosstabs.at
index b0da517f98..c33857b8f2 100644
--- a/tests/language/stats/crosstabs.at
+++ b/tests/language/stats/crosstabs.at
@@ -26,14 +26,14 @@ X * Y,1,100.0%,0,0.0%,1,100.0%
 Table: X * Y [count].
 ,Y,,,,,,,
 X,1.00,2.00,3.00,4.00,5.00,6.00,7.00,Total
-1.00,.0,.0,.0,.0,.0,.0,.0,.0
-2.00,.0,.0,.0,.0,.0,.0,.0,.0
-3.00,.0,.0,.0,.0,.0,.0,.0,.0
-4.00,.0,.0,.0,.0,1.0,.0,.0,1.0
-5.00,.0,.0,.0,.0,.0,.0,.0,.0
-6.00,.0,.0,.0,.0,.0,.0,.0,.0
-7.00,.0,.0,.0,.0,.0,.0,.0,.0
-Total,.0,.0,.0,.0,1.0,.0,.0,1.0
+1.00,.00,.00,.00,.00,.00,.00,.00,.00
+2.00,.00,.00,.00,.00,.00,.00,.00,.00
+3.00,.00,.00,.00,.00,.00,.00,.00,.00
+4.00,.00,.00,.00,.00,1.00,.00,.00,1.00
+5.00,.00,.00,.00,.00,.00,.00,.00,.00
+6.00,.00,.00,.00,.00,.00,.00,.00,.00
+7.00,.00,.00,.00,.00,.00,.00,.00,.00
+Total,.00,.00,.00,.00,1.00,.00,.00,1.00
 ]])
 AT_CLEANUP
 
@@ -59,9 +59,9 @@ Variable,Format
 x,F8.0
 y,A18
 
-"crosstabs.sps:4: warning: BEGIN DATA: Missing value(s) for all variables from x onward.  These will be filled with the system-missing value or blanks, as appropriate."
+"crosstabs.sps:4: warning: Missing value(s) for all variables from x onward.  These will be filled with the system-missing value or blanks, as appropriate."
 
-"crosstabs.sps:6: warning: BEGIN DATA: Missing value(s) for all variables from x onward.  These will be filled with the system-missing value or blanks, as appropriate."
+"crosstabs.sps:6: warning: Missing value(s) for all variables from x onward.  These will be filled with the system-missing value or blanks, as appropriate."
 
 Table: Summary.
 ,Cases,,,,,
@@ -72,10 +72,10 @@ x * y,4,66.7%,2,33.3%,6,100.0%
 Table: x * y [count].
 ,y,,,,
 x,one unity         ,three lots        ,two duality       ,zero none         ,Total
-1.00,1.0,.0,.0,1.0,2.0
-2.00,.0,.0,1.0,.0,1.0
-3.00,.0,1.0,.0,.0,1.0
-Total,1.0,1.0,1.0,1.0,4.0
+1.00,1.00,.00,.00,1.00,2.00
+2.00,.00,.00,1.00,.00,1.00
+3.00,.00,1.00,.00,.00,1.00
+Total,1.00,1.00,1.00,1.00,4.00
 ]])
 AT_CLEANUP
 
@@ -131,9 +131,9 @@ y * z,9,100.0%,0,0.0%,9,100.0%
 Table: y * z [count].
 ,z,,
 y,1,2,Total
-1,4.0,3.0,7.0
-2,1.0,1.0,2.0
-Total,5.0,4.0,9.0
+1,4.00,3.00,7.00
+2,1.00,1.00,2.00
+Total,5.00,4.00,9.00
 ]])
 AT_CLEANUP
 
@@ -168,16 +168,16 @@ x * y,4,100.0%,0,0.0%,4,100.0%
 Table: x * y [count].
 ,y,,
 x,1.00,2.00,Total
-2.00,.0,1.0,1.0
-3.00,1.0,.0,1.0
-4.00,1.0,1.0,2.0
-Total,2.0,2.0,4.0
+2.00,.00,1.00,1.00
+3.00,1.00,.00,1.00
+4.00,1.00,1.00,2.00
+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
@@ -203,10 +203,11 @@ SPLIT FILE SEPARATE BY v0.
 
 CROSSTABS
     /TABLES= v1 BY v2
-    /FORMAT=AVALUE LABELS TABLES PIVOT
+    /FORMAT=AVALUE TABLES PIVOT
     /STATISTICS=CHISQ
     /CELLS=COUNT ROW COLUMN TOTAL.
 ])
+
 AT_CHECK([pspp -O format=csv crosstabs.sps], [0],
   [[Variable,Value,Label
 v0,a ,
@@ -220,25 +221,25 @@ v1 * v2,6,100.0%,0,0.0%,6,100.0%
 "Table: v1 * v2 [count, row %, column %, total %]."
 ,v2,,
 v1,e ,f ,Total
-c ,3.0,1.0,4.0
-,75.0%,25.0%,100.0%
-,75.0%,50.0%,66.7%
-,50.0%,16.7%,66.7%
-d ,1.0,1.0,2.0
-,50.0%,50.0%,100.0%
-,25.0%,50.0%,33.3%
-,16.7%,16.7%,33.3%
-Total,4.0,2.0,6.0
-,66.7%,33.3%,100.0%
-,100.0%,100.0%,100.0%
-,66.7%,33.3%,100.0%
+c ,3.00,1.00,4.00
+,75.00%,25.00%,100.00%
+,75.00%,50.00%,66.67%
+,50.00%,16.67%,66.67%
+d ,1.00,1.00,2.00
+,50.00%,50.00%,100.00%
+,25.00%,50.00%,33.33%
+,16.67%,16.67%,33.33%
+Total,4.00,2.00,6.00
+,66.67%,33.33%,100.00%
+,100.00%,100.00%,100.00%
+,66.67%,33.33%,100.00%
 
 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
@@ -253,25 +254,25 @@ v1 * v2,4,100.0%,0,0.0%,4,100.0%
 "Table: v1 * v2 [count, row %, column %, total %]."
 ,v2,,
 v1,e ,f ,Total
-c ,.0,1.0,1.0
-,.0%,100.0%,100.0%
-,.0%,33.3%,25.0%
-,.0%,25.0%,25.0%
-d ,1.0,2.0,3.0
-,33.3%,66.7%,100.0%
-,100.0%,66.7%,75.0%
-,25.0%,50.0%,75.0%
-Total,1.0,3.0,4.0
-,25.0%,75.0%,100.0%
-,100.0%,100.0%,100.0%
-,25.0%,75.0%,100.0%
+c ,.00,1.00,1.00
+,.00%,100.00%,100.00%
+,.00%,33.33%,25.00%
+,.00%,25.00%,25.00%
+d ,1.00,2.00,3.00
+,33.33%,66.67%,100.00%
+,100.00%,66.67%,75.00%
+,25.00%,50.00%,75.00%
+Total,1.00,3.00,4.00
+,25.00%,75.00%,100.00%
+,100.00%,100.00%,100.00%
+,25.00%,75.00%,100.00%
 
 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
@@ -299,7 +300,7 @@ END DATA.
 LIST.
 
 
-CROSSTABS TABLES  x by y by z.
+CROSSTABS TABLES  x BY y BY z/STATISTICS=ALL.
 ]])
 AT_CHECK([pspp -O format=csv crosstabs.sps], [0],
   [[Table: Reading 1 record from INLINE.
@@ -329,17 +330,78 @@ x * y * z,9,100.0%,0,0.0%,9,100.0%
 Table: x * y * z [count].
 z,,y,,
 ,x,1,2,Total
-1,1,1.0,.0,1.0
-,3,1.0,.0,1.0
-,5,.0,1.0,1.0
-,7,1.0,.0,1.0
-,8,1.0,.0,1.0
-Total,,4.0,1.0,5.0
-2,2,.0,1.0,1.0
-,4,1.0,.0,1.0
-,6,1.0,.0,1.0
-,9,1.0,.0,1.0
-Total,,3.0,1.0,4.0
+1,1,1.00,.00,1.00
+,3,1.00,.00,1.00
+,5,.00,1.00,1.00
+,7,1.00,.00,1.00
+,8,1.00,.00,1.00
+Total,,4.00,1.00,5.00
+2,2,.00,1.00,1.00
+,4,1.00,.00,1.00
+,6,1.00,.00,1.00
+,9,1.00,.00,1.00
+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,.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,.261
+,Likelihood Ratio,4.50,3,.212
+,Linear-by-Linear Association,1.58,1,.209
+,N of Valid Cases,4,,
+
+Table: Symmetric measures.
+z,Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+1,Nominal by Nominal,Phi,1.00,,,
+,,Cramer's V,1.00,,,
+,,Contingency Coefficient,.71,,,
+,Ordinal by Ordinal,Kendall's tau-b,.00,.32,.00,
+,,Kendall's tau-c,.00,.32,.00,
+,,Gamma,.00,.50,.00,
+,,Spearman Correlation,.00,.22,.00,
+,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,,,
+,,Contingency Coefficient,.71,,,
+,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,-1.73,
+,Interval by Interval,Pearson's R,-.73,.18,-1.49,
+,N of Valid Cases,,4,,,
+
+Table: Directional measures.
+z,Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+1,Nominal by Nominal,Lambda,Symmetric,.40,.28,1.12,
+,,,x Dependent,.25,,1.12,
+,,,y Dependent,1.00,,1.12,
+,,Goodman and Kruskal tau,x Dependent,.25,,,
+,,,y Dependent,1.00,,,
+,,Uncertainty Coefficient,Symmetric,.47,.18,1.51,
+,,,x Dependent,.31,.15,2.02,
+,,,y Dependent,1.00,.00,2.02,
+,Ordinal by Ordinal,Somers' d,Symmetric,.00,,.00,
+,,,x Dependent,.00,.50,.00,
+,,,y Dependent,.00,.20,.00,
+,Nominal by Interval,Eta,x Dependent,.04,,,
+,,,y Dependent,1.00,,,
+2,Nominal by Nominal,Lambda,Symmetric,.50,.25,2.00,
+,,,x Dependent,.33,,1.15,
+,,,y Dependent,1.00,,1.15,
+,,Goodman and Kruskal tau,x Dependent,.33,,,
+,,,y Dependent,1.00,,,
+,,Uncertainty Coefficient,Symmetric,.58,.17,1.56,
+,,,x Dependent,.41,.17,2.36,
+,,,y Dependent,1.00,.00,2.36,
+,Ordinal by Ordinal,Somers' d,Symmetric,-.67,,-1.73,
+,,,x Dependent,-1.00,.00,-1.73,
+,,,y Dependent,-.50,.29,-1.73,
+,Nominal by Interval,Eta,x Dependent,.73,,,
+,,,y Dependent,1.00,,,
 ]])
 AT_CLEANUP
 
@@ -372,9 +434,975 @@ x * y,6,100.0%,0,0.0%,6,100.0%
 Table: x * y [count].
 ,y,,
 x,2.00,1.00,Total
-4.00,.0,1.0,1.0
-3.00,2.0,1.0,3.0
-2.00,2.0,.0,2.0
-Total,4.0,2.0,6.0
+4.00,.00,1.00,1.00
+3.00,2.00,1.00,3.00
+2.00,2.00,.00,2.00
+Total,4.00,2.00,6.00
 ]])
 AT_CLEANUP
+
+# Bug #31260.
+AT_SETUP([CROSSTABS crash when all cases missing])
+AT_DATA([crosstabs.sps], [dnl
+DATA LIST LIST NOTABLE /X1 X2.
+BEGIN DATA.
+1 1
+END DATA.
+
+MISSING VALUES x2 (1).
+
+CROSSTABS /TABLES= X1 by X2.
+])
+AT_CHECK([pspp -O format=csv crosstabs.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+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
+
+AT_SETUP([CROSSTABS Goodman and Kruskal's lambda])
+AT_DATA([lambda.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://www.csupomona.edu/~jlkorey/POWERMUTT/Topics/contingency_tables.html.
+DATA LIST LIST NOTABLE/x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 424
+1 2 213
+1 3 59
+3 1 55
+3 2 188
+3 3 357
+END DATA.
+
+CROSSTABS x BY y/CELLS=NONE/STATISTICS=LAMBDA.
+
+* From http://vassarstats.net.
+DATA LIST LIST NOTABLE/x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 19
+1 2 26
+1 3 8
+2 1 21
+2 2 13
+2 3 5
+3 1 6
+3 2 12
+3 3 27
+END DATA.
+
+CROSSTABS x BY y/CELLS=NONE/STATISTICS=LAMBDA.
+
+* From Goodman, L.A., Kruskal, W.H. (1954) "Measures of association for
+  cross classifications". Part I. Journal of the American Statistical
+  Association, 49, 732-764.
+DATA LIST LIST NOTABLE/x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 1768
+1 2 807
+1 3 189
+1 4 47
+2 1 946
+2 2 1387
+2 3 746
+2 4 53
+3 1 115
+3 2 438
+3 3 288
+3 4 16
+END DATA.
+CROSSTABS x BY y/CELLS=NONE/STATISTICS=LAMBDA.
+])
+AT_CHECK([pspp -O format=csv lambda.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,1296.000,100.0%,.000,0.0%,1296.000,100.0%
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Lambda,Symmetric,.423,.021,16.875,
+,,x Dependent,.497,,15.986,
+,,y Dependent,.370,,16.339,
+,Goodman and Kruskal tau,x Dependent,.382,,,
+,,y Dependent,.198,,,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,137.000,100.0%,.000,0.0%,137.000,100.0%
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Lambda,Symmetric,.259,.081,2.902,
+,,x Dependent,.250,,2.479,
+,,y Dependent,.267,,2.766,
+,Goodman and Kruskal tau,x Dependent,.129,,,
+,,y Dependent,.123,,,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,6800.000,100.0%,.000,0.0%,6800.000,100.0%
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Lambda,Symmetric,.208,.010,18.793,
+,,x Dependent,.224,,16.076,
+,,y Dependent,.192,,14.438,
+,Goodman and Kruskal tau,x Dependent,.089,,,
+,,y Dependent,.081,,,
+])
+AT_CLEANUP
+
+AT_SETUP([CROSSTABS Somers' D, Tau-B, Tau-C, Gamma])
+AT_DATA([somersd.sps], [dnl
+SET FORMAT F8.3.
+
+* From http://stats.stackexchange.com/questions/72203/problem-with-calculating-asymptotic-standard-error-for-somers-d.
+DATA LIST LIST NOTABLE/x y * w (F10.6).
+WEIGHT BY w.
+BEGIN DATA.
+1 1 0.000025
+1 2 0.0001
+1 3 0.001
+1 4 0.0025
+1 5 0.004
+1 6 0.0075
+1 7 0.0125
+2 1 0.049975
+2 2 0.0999
+2 3 0.199
+2 4 0.2475
+2 5 0.196
+2 6 0.1425
+2 7 0.0375
+END DATA.
+CROSSTABS x BY y/STATISTICS=D/CELLS=NONE.
+
+* From http://uregina.ca/~gingrich/gamma.pdf.
+DATA LIST LIST NOTABLE/x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 34
+1 2 24
+1 3 15
+2 1 42
+2 2 74
+2 3 67
+3 1 28
+3 2 111
+3 3 292
+END DATA.
+CROSSTABS x BY y/STATISTICS=BTAU CTAU GAMMA D/CELLS=NONE.
+])
+AT_CHECK([pspp -O format=csv somersd.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,1.000000,100.0%,.000000,0.0%,1.000000,100.0%
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,-.084,,-.149,
+,,x Dependent,-.045,.300,-.149,
+,,y Dependent,-.684,2.378,-.149,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,687.000,100.0%,.000,0.0%,687.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,.372,.033,10.669,
+,Kendall's tau-c,.310,.029,10.669,
+,Gamma,.591,.043,10.669,
+N of Valid Cases,,687.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,.371,,10.669,
+,,x Dependent,.351,.032,10.669,
+,,y Dependent,.394,.035,10.669,
+])
+
+AT_DATA([ordinal.sps], [dnl
+SET FORMAT F8.3.
+
+* From https://www.iup.edu/WorkArea/DownloadAsset.aspx?id=9829, "Case 1".
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 2 40
+2 3 80
+3 4 30
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 2.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 40
+2 3 80
+3 4 30
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 3.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 4 40
+2 3 80
+3 2 30
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 4.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 20
+1 2 20
+2 3 80
+3 4 30
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 5.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 2 40
+2 2 80
+3 2 29
+3 3 1
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 6.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 3
+1 2 6
+1 3 28
+1 4 61
+2 1 4
+2 2 5
+2 3 21
+2 4 20
+END DATA.
+CROSSTABS x BY y/STATISTICS=GAMMA D BTAU/CELLS=NONE.
+
+* Same site, case 7.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 38
+1 2 6
+1 3 3
+1 4 51
+2 1 4
+2 2 20
+2 3 21
+2 4 5
+END DATA.
+CROSSTABS x BY y/STATISTICS=LAMBDA D PHI GAMMA/CELLS=NONE.
+
+* Same site, case 8.
+DATA LIST LIST NOTABLE /x y w.
+WEIGHT BY w.
+BEGIN DATA.
+1 1 2
+1 2 3
+1 3 5
+1 4 1
+2 1 2
+2 2 16
+2 3 3
+2 4 6
+3 1 3
+3 2 10
+3 3 35
+3 4 27
+4 1 6
+4 2 15
+4 3 33
+4 4 45
+END DATA.
+CROSSTABS x BY y/STATISTICS=LAMBDA D PHI BTAU/CELLS=NONE.
+])
+AT_CHECK([pspp -O format=csv ordinal.sps], [0], [dnl
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,150.000,100.0%,.000,0.0%,150.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,1.000,.000,24.841,
+,Gamma,1.000,.000,24.841,
+N of Valid Cases,,150.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,1.000,,24.841,
+,,x Dependent,1.000,.000,24.841,
+,,y Dependent,1.000,.000,24.841,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,150.000,100.0%,.000,0.0%,150.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,1.000,.000,24.841,
+,Gamma,1.000,.000,24.841,
+N of Valid Cases,,150.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,1.000,,24.841,
+,,x Dependent,1.000,.000,24.841,
+,,y Dependent,1.000,.000,24.841,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,150.000,100.0%,.000,0.0%,150.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,-1.000,.000,-24.841,
+,Gamma,-1.000,.000,-24.841,
+N of Valid Cases,,150.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,-1.000,,-24.841,
+,,x Dependent,-1.000,.000,-24.841,
+,,y Dependent,-1.000,.000,-24.841,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,150.000,100.0%,.000,0.0%,150.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,.972,.007,24.841,
+,Gamma,1.000,.000,24.841,
+N of Valid Cases,,150.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,.971,,24.841,
+,,x Dependent,.944,.013,24.841,
+,,y Dependent,1.000,.000,24.841,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,150.000,100.0%,.000,0.0%,150.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,.119,.059,1.009,
+,Gamma,1.000,.000,1.009,
+N of Valid Cases,,150.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,.035,,1.009,
+,,x Dependent,.805,.032,1.009,
+,,y Dependent,.018,.017,1.009,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,148.000,100.0%,.000,0.0%,148.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Kendall's tau-b,-.208,.078,-2.641,
+,Gamma,-.381,.130,-2.641,
+N of Valid Cases,,148.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Ordinal by Ordinal,Somers' d,Symmetric,-.206,,-2.641,
+,,x Dependent,-.182,.069,-2.641,
+,,y Dependent,-.237,.089,-2.641,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,148.000,100.0%,.000,0.0%,148.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Phi,.731,,,
+,Cramer's V,.731,,,
+Ordinal by Ordinal,Gamma,-.110,.107,-1.022,
+N of Valid Cases,,148.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Lambda,Symmetric,.338,.059,4.743,
+,,x Dependent,.640,,4.875,
+,,y Dependent,.174,,3.248,
+,Goodman and Kruskal tau,x Dependent,.534,,,
+,,y Dependent,.167,,,
+Ordinal by Ordinal,Somers' d,Symmetric,-.074,,-1.022,
+,,x Dependent,-.060,.059,-1.022,
+,,y Dependent,-.096,.094,-1.022,
+
+Table: Summary.
+,Cases,,,,,
+,Valid,,Missing,,Total,
+,N,Percent,N,Percent,N,Percent
+x * y,212.000,100.0%,.000,0.0%,212.000,100.0%
+
+Table: Symmetric measures.
+Category,Statistic,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Phi,.432,,,
+,Cramer's V,.249,,,
+Ordinal by Ordinal,Kendall's tau-b,.209,.062,3.338,
+N of Valid Cases,,212.000,,,
+
+Table: Directional measures.
+Category,Statistic,Type,Value,Asymp. Std. Error,Approx. T,Approx. Sig.
+Nominal by Nominal,Lambda,Symmetric,.102,.067,1.473,
+,,x Dependent,.027,,.302,
+,,y Dependent,.165,,2.349,
+,Goodman and Kruskal tau,x Dependent,.051,,,
+,,y Dependent,.068,,,
+Ordinal by Ordinal,Somers' d,Symmetric,.209,,3.338,
+,,x Dependent,.202,.060,3.338,
+,,y Dependent,.217,.064,3.338,
+])
+AT_CLEANUP