結果: les1002.sas

The Print Procedure

Data Set WORK.PREF

Obs PName CName population area density
1 北海 札幌市 5248552 83424.39 66.93
2 青森 青森市 1246138 9645.65 129.19
3 岩手 盛岡市 1226430 15275.01 80.29
4 宮城 仙台市 2303160 7282.29 316.27
5 秋田 秋田市 965968 11637.52 83.00
6 山形 山形市 1077057 9323.15 115.53
7 福島 福島市 1847950 13783.90 134.07
8 茨城 水戸市 2868041 6097.32 470.38
9 栃木 宇都宮市 1942312 6408.09 303.10
10 群馬 前橋市 1937626 6362.28 304.55

The MEANS Procedure

The Means Procedure

Summary statistics

Variable N Mean Std Dev Minimum Maximum
population
area
density
47
47
47
2685449.83
8042.02
656.1510638
2782682.90
11694.86
1216.47
555663.00
1876.79
66.9300000
13942856.00
83424.39
6354.79

The Chart Procedure

HBAR of population

population                                              Cum.              Cum.
 Midpoint                                         Freq  Freq  Percent  Percent
             |                                                                
   1250000   |**********************************    34    34    72.34    72.34
             |                                                                
   3750000   |****                                   4    38     8.51    80.85
             |                                                                
   6250000   |*****                                  5    43    10.64    91.49
             |                                                                
   8750000   |***                                    3    46     6.38    97.87
             |                                                                
  11250000   |                                       0    46     0.00    97.87
             |                                                                
  13750000   |*                                      1    47     2.13   100.00
             |                                                                
             -----+----+----+----+----+----+----                              
                  5    10   15   20   25   30                                 
                                                                              
                          Frequency                                           

HBAR of area

 area                                   Cum.              Cum.                
Midpoint                          Freq  Freq  Percent  Percent                
        |                                                                     
 7500   |***********************    45    45    95.74    95.74                
        |                                                                     
22500   |*                           1    46     2.13    97.87                
        |                                                                     
37500   |                            0    46     0.00    97.87                
        |                                                                     
52500   |                            0    46     0.00    97.87                
        |                                                                     
67500   |                            0    46     0.00    97.87                
        |                                                                     
82500   |*                           1    47     2.13   100.00                
        |                                                                     
        -----+----+----+----+---                                              
             10   20   30   40                                                
                                                                              
                Frequency                                                     

HBAR of density

density                               Cum.              Cum.                  
Midpoint                        Freq  Freq  Percent  Percent                  
          |                                                                   
      0   |*******************    38    38    80.85    80.85                  
          |                                                                   
   1200   |***                     5    43    10.64    91.49                  
          |                                                                   
   2400   |*                       1    44     2.13    93.62                  
          |                                                                   
   3600   |*                       1    45     2.13    95.74                  
          |                                                                   
   4800   |*                       1    46     2.13    97.87                  
          |                                                                   
   6000   |*                       1    47     2.13   100.00                  
          |                                                                   
          -----+----+----+----                                                
               10   20   30                                                   
                                                                              
                Frequency                                                     

VBAR of population

Frequency                                                                     
                                                                              
   |      *****                                                               
   |      *****                                                               
30 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
20 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
10 +      *****                                                               
   |      *****                                                               
   |      *****                 *****                                         
   |      *****      *****      *****      *****                              
   |      *****      *****      *****      *****                 *****        
   -------------------------------------------------------------------------  
         1250000    3750000    6250000    8750000   11250000   13750000       
                                                                              
                              population Midpoint                             

VBAR of area

Frequency                                                                     
                                                                              
   |      *****                                                               
   |      *****                                                               
40 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
30 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
20 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
10 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   -------------------------------------------------------------------------  
           7500      22500      37500      52500      67500      82500        
                                                                              
                                 area Midpoint                                

VBAR of density

Frequency                                                                     
                                                                              
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
30 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
20 +      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
   |      *****                                                               
10 +      *****                                                               
   |      *****                                                               
   |      *****      *****                                                    
   |      *****      *****                                                    
   |      *****      *****      *****      *****      *****      *****        
   -------------------------------------------------------------------------  
            0         1200       2400       3600       4800       6000        
                                                                              
                                density Midpoint                              

The UNIVARIATE Procedure

Variable: population

The Univariate Procedure

population

Moments

Moments
N 47 Sum Weights 47
Mean 2685449.83 Sum Observations 126216142
Std Deviation 2782682.9 Variance 7.74332E12
Skewness 2.25036296 Kurtosis 5.39155057
Uncorrected SS 6.9514E14 Corrected SS 3.56193E14
Coeff Variation 103.620737 Std Error Mean 405896.017

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 2685450 Std Deviation 2782683
Median 1599984 Variance 7.74332E12
Mode . Range 13387193
    Interquartile Range 1735910

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.616103 Pr > |t| <.0001
Sign M 23.5 Pr >= |M| <.0001
Signed Rank S 564 Pr >= |S| <.0001

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 13942856
99% 13942856
95% 8823453
90% 7337330
75% Q3 2807987
50% Median 1599984
25% Q1 1072077
10% 767742
5% 697674
1% 555663
0% Min 555663

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
555663 31 7337330 11
673891 32 7552873 23
697674 39 8823453 27
728633 36 9200166 14
767742 18 13942856 13

Plots for population

Plots for population

The UNIVARIATE Procedure

Variable: area

area

Moments

Moments
N 47 Sum Weights 47
Mean 8042.01936 Sum Observations 377974.91
Std Deviation 11694.8598 Variance 136769746
Skewness 6.06404407 Kurtosis 39.5725925
Uncorrected SS 9331089879 Corrected SS 6291408335
Coeff Variation 145.421931 Std Error Mean 1705.87063

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 8042.019 Std Deviation 11695
Median 6097.320 Variance 136769746
Mode . Range 81548
    Interquartile Range 4254

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 4.71432 Pr > |t| <.0001
Sign M 23.5 Pr >= |M| <.0001
Signed Rank S 564 Pr >= |S| <.0001

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 83424.39
99% 83424.39
95% 13783.90
90% 12584.24
75% Q3 8400.94
50% Median 6097.32
25% Q1 4146.75
10% 2416.30
5% 2194.07
1% 1876.79
0% Min 1876.79

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1876.79 37 12584.2 15
1905.29 27 13561.6 20
2194.07 13 13783.9 7
2281.00 47 15275.0 3
2416.30 14 83424.4 1

Plots for area

Plots for area

The UNIVARIATE Procedure

Variable: density

density

Moments

Moments
N 47 Sum Weights 47
Mean 656.151064 Sum Observations 30839.1
Std Deviation 1216.4745 Variance 1479810.22
Skewness 3.51397568 Kurtosis 12.7164591
Uncorrected SS 88306378.3 Corrected SS 68071270
Coeff Variation 185.395494 Std Error Mean 177.441043

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 656.1511 Std Deviation 1216
Median 265.8500 Variance 1479810
Mode . Range 6288
    Interquartile Range 296.22000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 3.697854 Pr > |t| 0.0006
Sign M 23.5 Pr >= |M| <.0001
Signed Rank S 564 Pr >= |S| <.0001

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 6354.79
99% 6354.79
95% 3807.54
90% 1460.04
75% Q3 470.38
50% Median 265.85
25% Q1 174.16
10% 100.46
5% 83.00
1% 66.93
0% Min 66.93

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
66.93 1 1460.04 23
80.29 3 1932.02 11
83.00 5 3807.54 14
98.21 39 4631.03 27
100.46 32 6354.79 13

Plots for density

Plots for density