結果: les1002b.sas

*** proc print の出力 ***

The Print Procedure

Data Set WORK.PREF

Obs PName CName population area density lPName lCName
1 北海道 札幌市 5212462 83424 66 9 9
2 青森県 青森市 1230535 9646 128 9 9
3 岩手県 盛岡市 1212201 15275 79 9 9
4 宮城県 仙台市 2292690 7282 315 9 9
5 秋田県 秋田市 952069 11638 82 9 9
6 山形県 山形市 1064954 9323 114 9 9
7 福島県 福島市 1830114 13784 133 9 9
8 茨城県 水戸市 2854131 6097 468 9 9
9 栃木県 宇都宮市 1932091 6408 302 9 12
10 群馬県 前橋市 1926370 6362 303 9 9
11 埼玉県 さいたま市 7343453 3798 1934 9 15
12 千葉県 千葉市 6281394 5158 1218 9 9
13 東京都 新宿区 13971109 2194 6368 9 9
14 神奈川県 横浜市 9214151 2416 3813 12 9
15 新潟県 新潟市 2199746 12584 175 9 9
16 富山県 富山市 1034670 4248 244 9 9
17 石川県 金沢市 1130159 4186 270 9 9
18 福井県 福井市 762679 4191 182 9 9
19 山梨県 甲府市 806210 4465 181 9 9
20 長野県 長野市 2034145 13562 150 9 9
21 岐阜県 岐阜市 1974142 10621 186 9 9
22 静岡県 静岡市 3618972 7777 465 9 9
23 愛知県 名古屋市 7541123 5173 1458 9 12
24 三重県 津市 1767615 5774 306 9 6
25 滋賀県 大津市 1412415 4017 352 9 9
26 京都府 京都市 2568427 4612 557 9 9
27 大阪府 大阪市 8817372 1905 4628 9 9
28 兵庫県 神戸市 5438891 8401 647 9 9
29 奈良県 奈良市 1322970 3691 358 9 9
30 和歌山県 和歌山市 914055 4725 193 12 12
31 鳥取県 鳥取市 551402 3507 157 9 9
32 島根県 松江市 666941 6708 99 9 9
33 岡山県 岡山市 1882356 7114 265 9 9
34 広島県 広島市 2794862 8480 330 9 9
35 山口県 山口市 1341506 6113 219 9 9
36 徳島県 徳島市 721269 4147 174 9 9
37 香川県 高松市 948801 1877 506 9 9
38 愛媛県 松山市 1326487 5676 234 9 9
39 高知県 高知市 689785 7104 97 9 9
40 福岡県 福岡市 5106774 4987 1024 9 9
41 佐賀県 佐賀市 808821 2441 331 9 9
42 長崎県 長崎市 1310660 4131 317 9 9
43 熊本県 熊本市 1735901 7409 234 9 9
44 大分県 大分市 1124983 6341 177 9 9
45 宮崎県 宮崎市 1063759 7735 138 9 9
46 鹿児島県 鹿児島市 1587342 9187 173 12 12
47 沖縄県 那覇市 1458839 2283 639 9 9
48     . . . 1 1
49     . . . 1 1
50     . . . 1 1

*** proc means の出力 ***

The MEANS Procedure

The Means Procedure

Summary statistics

Variable N Mean Std Dev Minimum Maximum
population
area
density
lPName
lCName
47
47
47
50
50
2676208.57
8042.06
655.0851064
8.7000000
8.8200000
2787248.60
11694.79
1218.36
2.0922598
2.3533736
551402.00
1877.00
66.0000000
1.0000000
1.0000000
13971109.00
83424.00
6368.00
12.0000000
15.0000000

*** proc chart の出力 ***

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

*** proc chart の出力 ***

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

*** proc chart の出力 ***

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

*** proc chart の出力 ***

VBAR of population

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

*** proc chart の出力 ***

VBAR of area

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

*** proc chart の出力 ***

VBAR of density

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

*** proc chart の出力 ***

HBAR of density

density                                   Cum.              Cum.              
Midpoint                            Freq  Freq  Percent  Percent              
          |                                                                   
      0   |***********************    23    23    48.94    48.94              
    500   |*****************          17    40    36.17    85.11              
   1000   |**                          2    42     4.26    89.36              
   1500   |*                           1    43     2.13    91.49              
   2000   |*                           1    44     2.13    93.62              
   2500   |                            0    44     0.00    93.62              
   3000   |                            0    44     0.00    93.62              
   3500   |                            0    44     0.00    93.62              
   4000   |*                           1    45     2.13    95.74              
   4500   |*                           1    46     2.13    97.87              
   5000   |                            0    46     0.00    97.87              
   5500   |                            0    46     0.00    97.87              
   6000   |                            0    46     0.00    97.87              
   6500   |*                           1    47     2.13   100.00              
          |                                                                   
          -----+----+----+----+---                                            
               5    10   15   20                                              
                                                                              
                  Frequency

*** proc chart の出力 ***

VBAR of density

Frequency                                                                     
                                                                              
   |  ***                                                                     
   |  ***                                                                     
20 +  ***                                                                     
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
10 +  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***  ***  ***  ***                 ***  ***                 ***    
   -------------------------------------------------------------------------  
       0   500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500    
                                                                              
                                density Midpoint

*** proc chart の出力 ***

HBAR of density

density                                     Cum.              Cum.            
Midpoint                              Freq  Freq  Percent  Percent            
          |                                                                   
      0   |***********************      23    23    48.94    48.94            
    500   |*****************            17    40    36.17    85.11            
   1000   |**                            2    42     4.26    89.36            
   1500   |*                             1    43     2.13    91.49            
   2000   |*                             1    44     2.13    93.62            
   2500   |                              0    44     0.00    93.62            
   3000   |                              0    44     0.00    93.62            
   3500   |                              0    44     0.00    93.62            
   4000   |*                             1    45     2.13    95.74            
   4500   |*                             1    46     2.13    97.87            
   5000   |                              0    46     0.00    97.87            
   5500   |                              0    46     0.00    97.87            
   6000   |                              0    46     0.00    97.87            
   6500   |*                             1    47     2.13   100.00            
          |                                                                   
          -----+----+----+----+----+                                          
               5    10   15   20   25                                         
                                                                              
                   Frequency

*** proc chart の出力 ***

VBAR of density

Frequency                                                                     
                                                                              
25 +                                                                          
   |                                                                          
   |  ***                                                                     
   |  ***                                                                     
20 +  ***                                                                     
   |  ***                                                                     
   |  ***  ***                                                                
   |  ***  ***                                                                
15 +  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
10 +  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***                                                                
 5 +  ***  ***                                                                
   |  ***  ***                                                                
   |  ***  ***  ***                                                           
   |  ***  ***  ***  ***  ***                 ***  ***                 ***    
   -------------------------------------------------------------------------  
       0   500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500    
                                                                              
                                density Midpoint

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: population

The Univariate Procedure

population

Moments

Moments
N 47 Sum Weights 47
Mean 2676208.57 Sum Observations 125781803
Std Deviation 2787248.6 Variance 7.76875E12
Skewness 2.25842727 Kurtosis 5.43703845
Uncorrected SS 6.93981E14 Corrected SS 3.57363E14
Coeff Variation 104.149154 Std Error Mean 406561.993

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 2676209 Std Deviation 2787249
Median 1587342 Variance 7.76875E12
Mode . Range 13419707
    Interquartile Range 1731103

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.582535 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 13971109
99% 13971109
95% 8817372
90% 7343453
75% Q3 2794862
50% Median 1587342
25% Q1 1063759
10% 762679
5% 689785
1% 551402
0% Min 551402

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
551402 31 7343453 11
666941 32 7541123 23
689785 39 8817372 27
721269 36 9214151 14
762679 18 13971109 13

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: population

Plots

   Stem Leaf                      #  Boxplot                                  
     14 0                         1     *                                     
     13                                                                       
     12                                                                       
     11                                                                       
     10                                                                       
      9 2                         1     *                                     
      8 8                         1     *                                     
      7 35                        2     0                                     
      6 3                         1     0                                     
      5 124                       3     0                                     
      4                                 |                                     
      3 6                         1     |                                     
      2 0023689                   7  +--+--+                                  
      1 001111223333456788999    21  *-----*                                  
      0 677788899                 9     |                                     
        ----+----+----+----+-                                                 
    Multiply Stem.Leaf by 10**+6

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: population

                       Normal Probability Plot                                
14500000+                                                                     
        |                                               *                     
        |                                                                     
        |                                                                     
        |                                                                     
        |                                           *    +++                  
        |                                         *   +++                     
 7500000+                                      ** ++++                        
        |                                     *+++                            
        |                                  ***                                
        |                              ++++                                   
        |                           +++   *                                   
        |                       ++++  *****                                   
        |                 *************                                       
  500000+   *   * * *******+                                                  
         +----+----+----+----+----+----+----+----+----+----+                  
             -2        -1         0        +1        +2

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: area

area

Moments

Moments
N 47 Sum Weights 47
Mean 8042.06383 Sum Observations 377977
Std Deviation 11694.7852 Variance 136768000
Skewness 6.0640579 Kurtosis 39.5726979
Uncorrected SS 9331043157 Corrected SS 6291327997
Coeff Variation 145.420198 Std Error Mean 1705.85974

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 8042.064 Std Deviation 11695
Median 6097.000 Variance 136768000
Mode . Range 81547
    Interquartile Range 4254

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 4.714376 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
99% 83424
95% 13784
90% 12584
75% Q3 8401
50% Median 6097
25% Q1 4147
10% 2416
5% 2194
1% 1877
0% Min 1877

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1877 37 12584 15
1905 27 13562 20
2194 13 13784 7
2283 47 15275 3
2416 14 83424 1

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: area

Plots

   Stem Leaf                        #  Boxplot                                
      8 3                           1     *                                   
      7                                                                       
      7                                                                       
      6                                                                       
      6                                                                       
      5                                                                       
      5                                                                       
      4                                                                       
      4                                                                       
      3                                                                       
      3                                                                       
      2                                                                       
      2                                                                       
      1 5                           1     0                                   
      1 012344                      6     |                                   
      0 55555666666677777888899    23  +--+--+                                
      0 2222224444444444           16  +-----+                                
        ----+----+----+----+---                                               
    Multiply Stem.Leaf by 10**+4

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: area

                       Normal Probability Plot                                
   82500+                                               *                     
        |                                                                     
        |                                                                     
        |                                                                     
        |                                                                     
        |                                                                     
        |                                                                     
        |                                                                     
   42500+                                                                     
        |                                                 ++                  
        |                                            +++++                    
        |                                        ++++                         
        |                                    ++++                             
        |                               +++++       *                         
        |                           ++++     **** *                           
        |                       *************                                 
    2500+   *   * * ************                                              
         +----+----+----+----+----+----+----+----+----+----+                  
             -2        -1         0        +1        +2

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: density

density

Moments

Moments
N 47 Sum Weights 47
Mean 655.085106 Sum Observations 30789
Std Deviation 1218.36271 Variance 1484407.69
Skewness 3.51652538 Kurtosis 12.7412196
Uncorrected SS 88452169 Corrected SS 68282753.7
Coeff Variation 185.985408 Std Error Mean 177.716466

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 655.0851 Std Deviation 1218
Median 265.0000 Variance 1484408
Mode 234.0000 Range 6302
    Interquartile Range 295.00000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 3.686125 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 6368
99% 6368
95% 3813
90% 1458
75% Q3 468
50% Median 265
25% Q1 173
10% 99
5% 82
1% 66
0% Min 66

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
66 1 1458 23
79 3 1934 11
82 5 3813 14
97 39 4628 27
99 32 6368 13

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: density

Plots

   Stem Leaf                                   #  Boxplot                     
      6 4                                      1     *                        
      5                                                                       
      5                                                                       
      4 6                                      1     *                        
      4                                                                       
      3 8                                      1     *                        
      3                                                                       
      2                                                                       
      2                                                                       
      1 59                                     2     *                        
      1 02                                     2     0                        
      0 555666                                 6  +--+--+                     
      0 1111111112222222222222233333333344    34  *-----*                     
        ----+----+----+----+----+----+----                                    
    Multiply Stem.Leaf by 10**+3

*** proc univariate の出力(その1) ***

The UNIVARIATE Procedure

Variable: density

                       Normal Probability Plot                                
    6250+                                               *                     
        |                                                                     
        |                                                                     
        |                                           *                         
        |                                                                     
        |                                         *       ++                  
    3250+                                             ++++                    
        |                                         ++++                        
        |                                     ++++                            
        |                                +++++  *                             
        |                            ++++    ***                              
        |                        ++++     ***                                 
     250+   *   * * **********************                                    
         +----+----+----+----+----+----+----+----+----+----+                  
             -2        -1         0        +1        +2

*** proc univariate の出力(その2) ***

The UNIVARIATE Procedure

Variable: population

The Univariate Procedure

population

Moments

Moments
N 47 Sum Weights 47
Mean 2676208.57 Sum Observations 125781803
Std Deviation 2787248.6 Variance 7.76875E12
Skewness 2.25842727 Kurtosis 5.43703845
Uncorrected SS 6.93981E14 Corrected SS 3.57363E14
Coeff Variation 104.149154 Std Error Mean 406561.993

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 2676209 Std Deviation 2787249
Median 1587342 Variance 7.76875E12
Mode . Range 13419707
    Interquartile Range 1731103

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.582535 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 13971109
99% 13971109
95% 8817372
90% 7343453
75% Q3 2794862
50% Median 1587342
25% Q1 1063759
10% 762679
5% 689785
1% 551402
0% Min 551402

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
551402 31 7343453 11
666941 32 7541123 23
689785 39 8817372 27
721269 36 9214151 14
762679 18 13971109 13

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

Plots for population

Plots for population

*** proc univariate の出力(その2) ***

The UNIVARIATE Procedure

Variable: area

area

Moments

Moments
N 47 Sum Weights 47
Mean 8042.06383 Sum Observations 377977
Std Deviation 11694.7852 Variance 136768000
Skewness 6.0640579 Kurtosis 39.5726979
Uncorrected SS 9331043157 Corrected SS 6291327997
Coeff Variation 145.420198 Std Error Mean 1705.85974

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 8042.064 Std Deviation 11695
Median 6097.000 Variance 136768000
Mode . Range 81547
    Interquartile Range 4254

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 4.714376 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
99% 83424
95% 13784
90% 12584
75% Q3 8401
50% Median 6097
25% Q1 4147
10% 2416
5% 2194
1% 1877
0% Min 1877

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1877 37 12584 15
1905 27 13562 20
2194 13 13784 7
2283 47 15275 3
2416 14 83424 1

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

Plots for area

Plots for area

*** proc univariate の出力(その2) ***

The UNIVARIATE Procedure

Variable: density

density

Moments

Moments
N 47 Sum Weights 47
Mean 655.085106 Sum Observations 30789
Std Deviation 1218.36271 Variance 1484407.69
Skewness 3.51652538 Kurtosis 12.7412196
Uncorrected SS 88452169 Corrected SS 68282753.7
Coeff Variation 185.985408 Std Error Mean 177.716466

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 655.0851 Std Deviation 1218
Median 265.0000 Variance 1484408
Mode 234.0000 Range 6302
    Interquartile Range 295.00000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 3.686125 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 6368
99% 6368
95% 3813
90% 1458
75% Q3 468
50% Median 265
25% Q1 173
10% 99
5% 82
1% 66
0% Min 66

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
66 1 1458 23
79 3 1934 11
82 5 3813 14
97 39 4628 27
99 32 6368 13

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 3 6.00 100.00

Plots for density

Plots for density