Notes on Numberical Reliability of Several Statistical Analysis
Programs--USGS Open-File Report 99-95
Table 3. Pair-wise Pearson correlations for ANASTY, for theortetical values and the results given by statisical routines. [Correlations use nine pairs of observations, except those with MIX use only eight observations. Note that SAS, and MINITAB produce pair-wise correlations with single command for the dataset, Excel and KaleidaGraph require multiple commands by variable-pair, and STATIT and S-PLUS require multiple commands by subsets of variables. The "available" option for S-PLUS produces pair-wise statistics with a single command for the dataset, but introduces a potentially unexpected "correction" in the case of a variable with a missing observation.]
Variable: | X | BIG | LITTLE | HUGE | TINY | ROUND | XTRA | MIX | ZERO | MISS | |
Theoretical | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1 |
1 1 1 1 1 1 -0.2713.. 0.10762.. na na |
1 1 1 1 1 1 -0.2713.. 0.10762.. na na |
1 1 1 1 1 1 -0.2713.. 0.10762.. na na |
1 1 1 1 1 1 -0.2713.. 0.10762.. na na |
1 1 1 1 1 1 -0.2713.. 0.10762.. na na |
-0.2713... -0.2713... -0.2713... -0.2713... -0.2713... -0.2713... 1 0.10762.. na na |
0.10762.. 0.10762.. 0.10762.. 0.10762.. 0.10762.. 0.10762 0.10762 1 na na |
na na na na na na na na 1 na |
na na na na na na na na na na |
|
SAS PROC_CORR for DG V6.0701 and for Window NT v6.12 | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -0.27132 0.10762 . * |
-0.27132 -0.27132 -0.27132 -0.27132 -0.27132 -0.27132 1 0.10762 . |
0.10762 0.10762 0.10762 0.10762 0.10762 0.10762 0.10762 1.00000 . * |
. . . . . . . . . * |
* * * * * * * * * * |
|
STATIT DG | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1.00000 0.86603 0.83551 1.00000 1.00000 1.00000 -0.27132 0.10762 99.00000 * |
0.86603 1.00000 0.61394 0.86603 0.86603 0.86603 -0.27132 0.37796 99.00000 * |
0.83551 0.61394 1.00000 0.83551 0.83551 0.83551 -0.27132 -0.07881 99.00000 * |
1.00000 0.86603 0.83551 1.00000 1.00000 1.00000 -0.27132 0.10762 99.00000 * |
1.00000 0.86603 0.83551 1.00000 1.00000 1.00000 -0.27132 0.10762 99.00000 * |
1.00000 0.86603 0.83551 1.00000 1.00000 1.00000 -0.27132 0.10762 99.00000 * |
-0.27132 -0.27132 -0.27132 -0.27132 -0.27132 -0.27132 1.00000 0.10762 99.00000 * |
0.10762 0.37796 -0.07881 0.10762 0.10762 0.10762 0.10762 1.00000 99.00000 * |
99.00000 |
* * * * * * * * * |
|
Excel PowerPC Mac V5.0a | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1 |
1 1 1 1 1 1 -0.27132 27 0.1076225 8 * * |
1 1 1 1 1 1 -0.27132 27 0.1076225 8 * * |
1 1 1 1 1 1 -0.27132 27 0.1076225 8 * * |
1 1 1 1 1 1 -0.27132 27 0.1076225 8 * * |
1 1 1 1 1 1 -0.27132 27 0.1076225 8 * * |
-0.2713227 |
0.10762258 0.10762258 0.10762258 0.10762258 0.10762258 0.10762258 0.10762258 1 * * |
* * * * * * * * * * |
* * * * * * * * * * |
|
MINITAB PowerPC Mac V10.51x | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
* 0.866 0.836 1.000 1.000 1.000 -0.271 0.108 * * |
* * 0.614 0.866 0.866 0.866 -0.314 0.378 * * |
* |
* * * * 1 1 -0271 0.108 * * |
* * * * * 1 -0271 0.108 * * |
* * * * * * -0271 0.108 * * |
* * * * * * * 0.108 * * |
* * * * * * * * * * |
* * * * * * * * * * |
* * * * * * * * * * |
|
KaleidoGraph PowerPC Mac V3.08d | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
* 1 1 1 1 1 0.27132 0.10762 * * |
1 * 0.87896 1 1 1 1 0 * * |
1 1 * 0.7082 0.88921 0.7082 -0.12964 0.40825 * * |
1 1 1 * 1 1 0.27132 0.10762 * * |
1 1 1 1 * 1 0.27132 0.10762 * * |
1 1 1 1 1 * 0.27132 0.10762 * * |
0.27132 0.27132 0.27132 0.27132 0.27132 0.27132 * 0.10762 * |
0.10762 0.10762 0.10762 0.10762 0.10762 0.10762 0.10762 * * * |
0 0 0 0 0 0 0 0 * * |
* * * * * * * * * * |
|
S-PLUS WindowsNT v4.5 | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 -0.27132 27 0.1076226 * * |
-0.2713227 -0.2713227 -0.2713227 -0.2713227 -0.2713227 -0.2713227 1.0000000 0.1076226 * * |
0.1076226 0.1076226 0.1076226 0.1076226 0.1076226 0.1076226 0.1076226 1.0000000 * * |
* * * * * * * * * * |
* * * * * * * * * * |
|
S-PLUS WindowsNT v4.5 using the "available" option | |||||||||||
X BIG LITTLE HUGE TINY ROUND XTRA MIX ZERO MISS |
1 |
1 1 1 1 1 1 -0.27132 27 0.1106548 * * |
1 1 1 1 1 1 -0.27132 27 0.1106548 * * |
1 1 1 1 1 1 -0.27132 27 0.1106548 * * |
1 1 1 1 1 1 -0.27132 27 0.1106548 * * |
1 1 1 1 1 1 -0.27132 27 0.1106548 * * |
-0.2713227 -0.2713227 -0.2713227 -0.2713227 -0.2713227 -0.2713227 1 0.003035708 * * |
0.1106548 0.1106548 0.1106548 0.1106548 0.1106548 0.1106548 0.1106548 0.003035708 1 * * |
* * * * * * * * * * |
* * * * * * * * * * |