The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 1978 | Sum Observations | 45494 |
Std Deviation | 6.78232998 | Variance | 46 |
Skewness | 0 | Kurtosis | -1.2 |
Uncorrected SS | 89988144 | Corrected SS | 1012 |
Coeff Variation | 0.34288827 | Std Error Mean | 1.41421356 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 1978.000 | Std Deviation | 6.78233 |
Median | 1978.000 | Variance | 46.00000 |
Mode | . | Range | 22.00000 |
Interquartile Range | 12.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 1398.657 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.95918 | Pr < W | 0.4470 |
Kolmogorov-Smirnov | D | 0.07385 | Pr > D | >0.1500 |
Cramer-von Mises | W-Sq | 0.032992 | Pr > W-Sq | >0.2500 |
Anderson-Darling | A-Sq | 0.249845 | Pr > A-Sq | >0.2500 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 1989 |
99% | 1989 |
95% | 1988 |
90% | 1987 |
75% Q3 | 1984 |
50% Median | 1978 |
25% Q1 | 1972 |
10% | 1969 |
5% | 1968 |
1% | 1967 |
0% Min | 1967 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
1967 | 1 | 1985 | 19 |
1968 | 2 | 1986 | 20 |
1969 | 3 | 1987 | 21 |
1970 | 4 | 1988 | 22 |
1971 | 5 | 1989 | 23 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 121.695652 | Sum Observations | 2799 |
Std Deviation | 39.6787495 | Variance | 1574.40316 |
Skewness | -0.0524923 | Kurtosis | -1.0697688 |
Uncorrected SS | 375263 | Corrected SS | 34636.8696 |
Coeff Variation | 32.6049031 | Std Error Mean | 8.2735912 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 121.6957 | Std Deviation | 39.67875 |
Median | 123.0000 | Variance | 1574 |
Mode | . | Range | 137.00000 |
Interquartile Range | 71.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 14.70893 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.961043 | Pr < W | 0.4848 |
Kolmogorov-Smirnov | D | 0.117733 | Pr > D | >0.1500 |
Cramer-von Mises | W-Sq | 0.048675 | Pr > W-Sq | >0.2500 |
Anderson-Darling | A-Sq | 0.312875 | Pr > A-Sq | >0.2500 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 193 |
99% | 193 |
95% | 172 |
90% | 171 |
75% Q3 | 158 |
50% Median | 123 |
25% Q1 | 87 |
10% | 70 |
5% | 57 |
1% | 56 |
0% Min | 56 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
56 | 7 | 159 | 9 |
57 | 10 | 165 | 21 |
70 | 4 | 171 | 19 |
80 | 11 | 172 | 6 |
81 | 12 | 193 | 5 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 53.5652174 | Sum Observations | 1232 |
Std Deviation | 31.9443068 | Variance | 1020.43874 |
Skewness | 0.65354301 | Kurtosis | -0.5109886 |
Uncorrected SS | 88442 | Corrected SS | 22449.6522 |
Coeff Variation | 59.636287 | Std Error Mean | 6.66084841 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 53.56522 | Std Deviation | 31.94431 |
Median | 48.00000 | Variance | 1020 |
Mode | 25.00000 | Range | 110.00000 |
Interquartile Range | 48.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 8.041801 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.926415 | Pr < W | 0.0915 |
Kolmogorov-Smirnov | D | 0.160955 | Pr > D | 0.1229 |
Cramer-von Mises | W-Sq | 0.081034 | Pr > W-Sq | 0.1983 |
Anderson-Darling | A-Sq | 0.579661 | Pr > A-Sq | 0.1214 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 119 |
99% | 119 |
95% | 113 |
90% | 105 |
75% Q3 | 73 |
50% Median | 48 |
25% Q1 | 25 |
10% | 21 |
5% | 18 |
1% | 9 |
0% Min | 9 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
9 | 7 | 75 | 2 |
18 | 11 | 95 | 9 |
21 | 4 | 105 | 19 |
23 | 14 | 113 | 8 |
25 | 17 | 119 | 21 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 131.304348 | Sum Observations | 3020 |
Std Deviation | 61.3473233 | Variance | 3763.49407 |
Skewness | 1.14358226 | Kurtosis | 0.81840945 |
Uncorrected SS | 479336 | Corrected SS | 82796.8696 |
Coeff Variation | 46.7214714 | Std Error Mean | 12.7918012 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 131.3043 | Std Deviation | 61.34732 |
Median | 106.0000 | Variance | 3763 |
Mode | 94.0000 | Range | 232.00000 |
Interquartile Range | 77.00000 |
Note: | The mode displayed is the smallest of 2 modes with a count of 2. |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 10.26473 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.880989 | Pr < W | 0.0105 |
Kolmogorov-Smirnov | D | 0.181744 | Pr > D | 0.0471 |
Cramer-von Mises | W-Sq | 0.158697 | Pr > W-Sq | 0.0179 |
Anderson-Darling | A-Sq | 0.947629 | Pr > A-Sq | 0.0149 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 296 |
99% | 296 |
95% | 231 |
90% | 214 |
75% Q3 | 157 |
50% Median | 106 |
25% Q1 | 80 |
10% | 72 |
5% | 71 |
1% | 64 |
0% Min | 64 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
64 | 10 | 196 | 16 |
71 | 1 | 207 | 2 |
72 | 3 | 214 | 14 |
73 | 17 | 231 | 9 |
78 | 20 | 296 | 4 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 70.8695652 | Sum Observations | 1630 |
Std Deviation | 53.7522129 | Variance | 2889.3004 |
Skewness | 0.88585683 | Kurtosis | -0.4737145 |
Uncorrected SS | 179082 | Corrected SS | 63564.6087 |
Coeff Variation | 75.8466808 | Std Error Mean | 11.2081112 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 70.86957 | Std Deviation | 53.75221 |
Median | 51.00000 | Variance | 2889 |
Mode | 34.00000 | Range | 175.00000 |
Interquartile Range | 88.00000 |
Note: | The mode displayed is the smallest of 2 modes with a count of 2. |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 6.323061 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.872795 | Pr < W | 0.0073 |
Kolmogorov-Smirnov | D | 0.196079 | Pr > D | 0.0216 |
Cramer-von Mises | W-Sq | 0.195544 | Pr > W-Sq | 0.0053 |
Anderson-Darling | A-Sq | 1.127063 | Pr > A-Sq | <0.0050 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 188 |
99% | 188 |
95% | 168 |
90% | 146 |
75% Q3 | 117 |
50% Median | 51 |
25% Q1 | 29 |
10% | 15 |
5% | 14 |
1% | 13 |
0% Min | 13 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
13 | 10 | 142 | 9 |
14 | 22 | 143 | 6 |
15 | 20 | 146 | 16 |
21 | 17 | 168 | 14 |
28 | 1 | 188 | 4 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 122.956522 | Sum Observations | 2828 |
Std Deviation | 67.257631 | Variance | 4523.58893 |
Skewness | 0.7370804 | Kurtosis | -0.0227432 |
Uncorrected SS | 447240 | Corrected SS | 99518.9565 |
Coeff Variation | 54.7003364 | Std Error Mean | 14.0241855 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 122.9565 | Std Deviation | 67.25763 |
Median | 117.0000 | Variance | 4524 |
Mode | 139.0000 | Range | 248.00000 |
Interquartile Range | 89.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 8.767463 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.936031 | Pr < W | 0.1476 |
Kolmogorov-Smirnov | D | 0.155599 | Pr > D | >0.1500 |
Cramer-von Mises | W-Sq | 0.085516 | Pr > W-Sq | 0.1713 |
Anderson-Darling | A-Sq | 0.543127 | Pr > A-Sq | 0.1485 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 268 |
99% | 268 |
95% | 261 |
90% | 226 |
75% Q3 | 163 |
50% Median | 117 |
25% Q1 | 74 |
10% | 49 |
5% | 41 |
1% | 20 |
0% Min | 20 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
20 | 17 | 166 | 5 |
41 | 7 | 195 | 12 |
49 | 9 | 226 | 6 |
63 | 23 | 261 | 19 |
73 | 8 | 268 | 11 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 65.5652174 | Sum Observations | 1508 |
Std Deviation | 59.0137319 | Variance | 3482.62055 |
Skewness | 1.47712474 | Kurtosis | 1.37180374 |
Uncorrected SS | 175490 | Corrected SS | 76617.6522 |
Coeff Variation | 90.0076813 | Std Error Mean | 12.3052137 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 65.56522 | Std Deviation | 59.01373 |
Median | 38.00000 | Variance | 3483 |
Mode | 11.00000 | Range | 200.00000 |
Interquartile Range | 67.00000 |
Note: | The mode displayed is the smallest of 3 modes with a count of 2. |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 5.328247 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.802399 | Pr < W | 0.0004 |
Kolmogorov-Smirnov | D | 0.201524 | Pr > D | 0.0165 |
Cramer-von Mises | W-Sq | 0.266756 | Pr > W-Sq | <0.0050 |
Anderson-Darling | A-Sq | 1.643992 | Pr > A-Sq | <0.0050 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 211 |
99% | 211 |
95% | 203 |
90% | 172 |
75% Q3 | 89 |
50% Median | 38 |
25% Q1 | 22 |
10% | 17 |
5% | 11 |
1% | 11 |
0% Min | 11 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
11 | 22 | 99 | 14 |
11 | 17 | 110 | 12 |
17 | 10 | 172 | 6 |
21 | 23 | 203 | 19 |
22 | 21 | 211 | 11 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 80.0869565 | Sum Observations | 1842 |
Std Deviation | 37.489287 | Variance | 1405.44664 |
Skewness | 0.39103309 | Kurtosis | 0.94681795 |
Uncorrected SS | 178440 | Corrected SS | 30919.8261 |
Coeff Variation | 46.8107275 | Std Error Mean | 7.81705671 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 80.08696 | Std Deviation | 37.48929 |
Median | 74.00000 | Variance | 1405 |
Mode | 93.00000 | Range | 170.00000 |
Interquartile Range | 44.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 10.24515 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.979106 | Pr < W | 0.8904 |
Kolmogorov-Smirnov | D | 0.08623 | Pr > D | >0.1500 |
Cramer-von Mises | W-Sq | 0.025728 | Pr > W-Sq | >0.2500 |
Anderson-Darling | A-Sq | 0.194298 | Pr > A-Sq | >0.2500 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 177 |
99% | 177 |
95% | 126 |
90% | 125 |
75% Q3 | 101 |
50% Median | 74 |
25% Q1 | 57 |
10% | 31 |
5% | 24 |
1% | 7 |
0% Min | 7 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
7 | 3 | 110 | 6 |
24 | 19 | 113 | 22 |
31 | 9 | 125 | 14 |
46 | 20 | 126 | 15 |
55 | 4 | 177 | 12 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 37.0869565 | Sum Observations | 853 |
Std Deviation | 31.9373151 | Variance | 1019.99209 |
Skewness | 1.67853295 | Kurtosis | 2.21093275 |
Uncorrected SS | 54075 | Corrected SS | 22439.8261 |
Coeff Variation | 86.1146831 | Std Error Mean | 6.65939054 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 37.08696 | Std Deviation | 31.93732 |
Median | 23.00000 | Variance | 1020 |
Mode | 18.00000 | Range | 113.00000 |
Interquartile Range | 25.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 5.569122 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.779372 | Pr < W | 0.0002 |
Kolmogorov-Smirnov | D | 0.209166 | Pr > D | <0.0100 |
Cramer-von Mises | W-Sq | 0.305686 | Pr > W-Sq | <0.0050 |
Anderson-Darling | A-Sq | 1.854732 | Pr > A-Sq | <0.0050 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 120 |
99% | 120 |
95% | 116 |
90% | 92 |
75% Q3 | 43 |
50% Median | 23 |
25% Q1 | 18 |
10% | 9 |
5% | 7 |
1% | 7 |
0% Min | 7 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
7 | 17 | 52 | 23 |
7 | 9 | 54 | 11 |
9 | 7 | 92 | 15 |
13 | 8 | 116 | 14 |
18 | 19 | 120 | 12 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 63.1304348 | Sum Observations | 1452 |
Std Deviation | 40.595907 | Variance | 1648.02767 |
Skewness | 1.51718287 | Kurtosis | 2.64224611 |
Uncorrected SS | 127922 | Corrected SS | 36256.6087 |
Coeff Variation | 64.3048114 | Std Error Mean | 8.46483177 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 63.13043 | Std Deviation | 40.59591 |
Median | 53.00000 | Variance | 1648 |
Mode | 38.00000 | Range | 170.00000 |
Interquartile Range | 45.00000 |
Note: | The mode displayed is the smallest of 2 modes with a count of 2. |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 7.457967 | Pr > |t| | <.0001 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.867502 | Pr < W | 0.0057 |
Kolmogorov-Smirnov | D | 0.191391 | Pr > D | 0.0271 |
Cramer-von Mises | W-Sq | 0.171359 | Pr > W-Sq | 0.0115 |
Anderson-Darling | A-Sq | 0.983709 | Pr > A-Sq | 0.0114 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 186 |
99% | 186 |
95% | 134 |
90% | 107 |
75% Q3 | 82 |
50% Median | 53 |
25% Q1 | 37 |
10% | 20 |
5% | 19 |
1% | 16 |
0% Min | 16 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
16 | 22 | 99 | 9 |
19 | 5 | 106 | 15 |
20 | 11 | 107 | 4 |
31 | 19 | 134 | 12 |
36 | 21 | 186 | 8 |
The SAS System |
Moments | |||
---|---|---|---|
N | 23 | Sum Weights | 23 |
Mean | 62.5217391 | Sum Observations | 1438 |
Std Deviation | 120.140777 | Variance | 14433.8063 |
Skewness | 4.14687933 | Kurtosis | 18.439424 |
Uncorrected SS | 407450 | Corrected SS | 317543.739 |
Coeff Variation | 192.158406 | Std Error Mean | 25.0510837 |
Basic Statistical Measures | |||
---|---|---|---|
Location | Variability | ||
Mean | 62.52174 | Std Deviation | 120.14078 |
Median | 21.00000 | Variance | 14434 |
Mode | 19.00000 | Range | 581.00000 |
Interquartile Range | 38.00000 |
Tests for Location: Mu0=0 | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Student's t | t | 2.49577 | Pr > |t| | 0.0206 |
Sign | M | 11.5 | Pr >= |M| | <.0001 |
Signed Rank | S | 138 | Pr >= |S| | <.0001 |
Tests for Normality | ||||
---|---|---|---|---|
Test | Statistic | p Value | ||
Shapiro-Wilk | W | 0.438561 | Pr < W | <0.0001 |
Kolmogorov-Smirnov | D | 0.341098 | Pr > D | <0.0100 |
Cramer-von Mises | W-Sq | 0.867235 | Pr > W-Sq | <0.0050 |
Anderson-Darling | A-Sq | 4.595135 | Pr > A-Sq | <0.0050 |
Quantiles (Definition 5) | |
---|---|
Quantile | Estimate |
100% Max | 588 |
99% | 588 |
95% | 139 |
90% | 122 |
75% Q3 | 55 |
50% Median | 21 |
25% Q1 | 17 |
10% | 12 |
5% | 10 |
1% | 7 |
0% Min | 7 |
Extreme Observations | |||
---|---|---|---|
Lowest | Highest | ||
Value | Obs | Value | Obs |
7 | 3 | 58 | 14 |
10 | 7 | 104 | 15 |
12 | 22 | 122 | 12 |
12 | 13 | 139 | 8 |
14 | 17 | 588 | 5 |