Descriptive Statistics Example 1
** UNIVARIATE PROCEDURE **
Obs Purity H_Carbon
1 90.01 0.99
2 89.05 1.02
3 91.43 1.15
4 93.74 1.29
5 96.73 1.46
6 94.45 1.36
7 87.59 0.87
8 91.77 1.23
9 99.42 1.55
10 93.65 1.40
11 93.54 1.19
12 92.52 1.15
13 90.56 0.98
14 89.54 1.01
15 89.85 1.11
16 90.39 1.20
17 93.25 1.26
18 93.41 1.32
19 94.98 1.43
20 87.33 0.95
^L Descriptive Statistics Example 2
** UNIVARIATE PROCEDURE **
The UNIVARIATE Procedure
Variable: Purity
Moments
N 20 Sum Weights 20
Mean 92.1605 Sum Observations 1843.21
Std Deviation 3.020778 Variance 9.12509974
Skewness 0.50260784 Kurtosis 0.37416781
Uncorrected SS 170044.532 Corrected SS 173.376895
Coeff Variation 3.27773613 Std Error Mean 0.6754665
Basic Statistical Measures
Location Variability
Mean 92.16050 Std Deviation 3.02078
Median 92.14500 Variance 9.12510
Mode . Range 12.09000
Interquartile Range 3.76500
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 136.4398 Pr > |t| <.0001
Sign M 10 Pr >= |M| <.0001
Signed Rank S 105 Pr >= |S| <.0001
Tests for Normality
Test --Statistic--- -----p Value------
Shapiro-Wilk W 0.96805 Pr < W 0.7133
Kolmogorov-Smirnov D 0.101885 Pr > D >0.1500
Cramer-von Mises W-Sq 0.035124 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.242851 Pr > A-Sq >0.2500
Quantiles (Definition 5)
Quantile Estimate
100% Max 99.420
99% 99.420
95% 98.075
90% 95.855
75% Q3 93.695
50% Median 92.145
25% Q1 89.930
10% 88.320
5% 87.460
1% 87.330
0% Min 87.330
^L Descriptive Statistics Example 3
** UNIVARIATE PROCEDURE **
The UNIVARIATE Procedure
Variable: Purity
Extreme Observations
-----Lowest---- ----Highest----
Value Obs Value Obs
87.33 20 93.74 4
87.59 7 94.45 6
89.05 2 94.98 19
89.54 14 96.73 5
89.85 15 99.42 9
Frequency Counts
Percents Percents
Value Count Cell Cum Value Count Cell Cum
87.33 1 5.0 5.0 92.52 1 5.0 55.0
87.59 1 5.0 10.0 93.25 1 5.0 60.0
89.05 1 5.0 15.0 93.41 1 5.0 65.0
89.54 1 5.0 20.0 93.54 1 5.0 70.0
89.85 1 5.0 25.0 93.65 1 5.0 75.0
90.01 1 5.0 30.0 93.74 1 5.0 80.0
90.39 1 5.0 35.0 94.45 1 5.0 85.0
90.56 1 5.0 40.0 94.98 1 5.0 90.0
91.43 1 5.0 45.0 96.73 1 5.0 95.0
91.77 1 5.0 50.0 99.42 1 5.0 100.0
^L Descriptive Statistics Example 4
** UNIVARIATE PROCEDURE **
The UNIVARIATE Procedure
Variable: Purity
Stem Leaf # Boxplot
98 4 1 0
96 7 1 |
94 40 2 |
92 524567 6 +--+--+
90 04648 5 | |
88 058 3 +-----+
86 36 2 |
----+----+----+----+
Normal Probability Plot
99+ *++++++
| +*+++++
| ++*+*+
93+ +****+**
| +*+****
| ++*+*+*
87+ +*++++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2