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Table 3

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
-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
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
99.00000
99.00000
99.00000
99.00000
99.00000
99.00000
99.00000
1.00000
*

*
*
*
*
*
*
*
*
*
Excel PowerPC Mac V5.0a
X
BIG
LITTLE
HUGE
TINY
ROUND
XTRA

MIX

ZERO
MISS

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
*
*
1
1
1
1
1
1
-0.27132
27
0.1076225
8
*
*

-0.2713227
-0.2713227
-0.2713227
-0.2713227
-0.2713227
-0.2713227
1

0.10762258

*
*

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
*
*

*
*
*
0.836
0.836
0.836
-0.067
-0.079
*
*

*
*
*
*
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
-0.2713
227
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
*
*
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
*
*
*
*
*
*
*
*
*

*
*
*
*
*
*
*
*
*
*

*
*
*


Table of Contents
Report
Table 1
Table 2

Webversion by: Genevieve Comfort
Last Modified: Thursday, 10-Jan-2013 23:08:46 EST