direct: Direct estimators.
In sae: Small Area Estimation
Description
Usage
Arguments
Value
References
See Also
Examples
Description
This function calculates direct estimators of domain means.
Usage
1
Arguments
y
vector specifying the individual values of the variable for which we want to estimate the domain means.
dom
vector or factor (same size as y) with domain codes.
sweight
optional vector (same size as y) with sampling weights. When this argument is not included, by default estimators
are obtained under simple random sampling (SRS).
domsize
D*2 data frame with domain codes in the first column and the corresponding domain population sizes in the second column. This argument is not required when sweight is not included and replace=TRUE (SRS with replacement).
data
optional data frame containing the variables named in y, dom and sweight. By default the variables are taken from the environment from which direct is called.
replace
logical variable with default value FALSE for random sampling without replacement within each domain is considered
and TRUE for random sampling with replacement within each domain.
Value
The function returns a data frame of size D*5 with the following columns:
Domain
domain codes in ascending order.
SampSize
domain sample sizes.
Direct
direct estimators of domain means of variable y.
SD
estimated standard deviations of domain direct estimators. If sampling design is SRS or Poisson sampling, estimated variances are unbiased. Otherwise, estimated variances are obtained under the approximation that second order inclusion probabilities are the product of first order inclusion probabilities.
CV
absolute value of percent coefficients of variation of domain direct estimators.
Cases with NA values in y, dom or sweight are ignored.
References
- Cochran, W.G. (1977). Sampling techniques. Wiley, New York.
- Rao, J.N.K. (2003). Small Area Estimation. Wiley, London.
- Sarndal, C.E., Swensson, B. and Wretman, J. (1992). Model Assisted Survey Sampling. Springer-Verlag.
See Also
pssynt for post-stratified synthetic estimator, ssd for sample size dependent estimator.
In case that the sampling design is known, see packages survey or sampling for more exact variance estimation.
Examples
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# Load data set with synthetic income data for provinces (domains)
data(incomedata)
# Load population sizes of provinces
data(sizeprov)
# Compute Horvitz-Thompson direct estimator of mean income for each
# province under random sampling without replacement within each province.
result1 <- direct(y=income, dom=prov, sweight=weight,
domsize=sizeprov[,2:3], data=incomedata)
result1
# The same but using province labels as domain codes
result2 <- direct(y=incomedata$income, dom=incomedata$provlab,
sweight=incomedata$weight, domsize=sizeprov[,c(1,3)])
result2
# The same, under SRS without replacement within each province.
result3 <- direct(y=income ,dom=provlab, domsize=sizeprov[,c(1,3)],
data=incomedata)
result3
# Compute direct estimator of mean income for each province
# under SRS with replacement within each province
result4 <- direct(y=income, dom=provlab, data=incomedata, replace=TRUE)
result4
Example output
Loading required package: MASS
Loading required package: lme4
Loading required package: Matrix
Domain SampSize Direct SD CV
1 1 96 7121.005 978.9280 13.747049
2 2 173 13091.669 1380.7139 10.546508
3 3 539 13054.001 697.0416 5.339678
4 4 198 13158.890 1242.0200 9.438638
5 5 58 10592.494 1802.3255 17.015120
6 6 494 13213.102 759.5069 5.748134
7 7 634 14240.291 780.7269 5.482521
8 8 1420 11391.583 387.3791 3.400573
9 9 168 17193.316 1941.0206 11.289391
10 10 282 9173.640 781.1630 8.515301
11 11 398 16590.280 1047.6163 6.314639
12 12 118 7922.602 890.4710 11.239629
13 13 250 13014.733 1069.4094 8.216914
14 14 224 9238.661 756.3274 8.186549
15 15 495 10664.224 640.1909 6.003164
16 16 92 9726.538 1278.6810 13.146311
17 17 142 9631.635 1001.6669 10.399760
18 18 208 9492.997 869.7582 9.162103
19 19 89 10197.979 1532.7710 15.030146
20 20 285 11665.247 942.8695 8.082722
21 21 122 13287.910 1524.2953 11.471295
22 22 115 9105.395 1136.5260 12.481897
23 23 232 12730.452 1085.3034 8.525254
24 24 218 9819.389 873.2891 8.893518
25 25 130 15563.262 2058.6055 13.227339
26 26 510 11836.719 780.5658 6.594444
27 27 173 9444.694 941.5500 9.969090
28 28 944 13057.341 605.1017 4.634187
29 29 379 11662.044 802.1492 6.878290
30 30 885 13259.506 638.0530 4.812042
31 31 564 13735.008 783.8567 5.706999
32 32 129 8942.922 1320.8213 14.769460
33 33 803 11221.799 591.8854 5.274425
34 34 72 9189.167 1385.4011 15.076460
35 35 472 16529.191 1080.7667 6.538534
36 36 448 15337.141 919.5169 5.995361
37 37 164 12020.292 1328.1631 11.049342
38 38 381 9092.715 611.0477 6.720190
39 39 434 9731.450 704.8761 7.243279
40 40 58 8994.437 1470.5287 16.349313
41 41 482 11117.879 617.7463 5.556332
42 42 20 6597.581 1753.4391 26.577001
43 43 134 6204.736 681.4471 10.982694
44 44 72 9677.507 1855.1802 19.170022
45 45 275 14107.708 1136.2947 8.054424
46 46 714 11643.482 553.7125 4.755557
47 47 299 16833.008 1206.8993 7.169837
48 48 524 12607.676 723.4707 5.738336
49 49 104 11360.706 1432.0437 12.605235
50 50 564 15454.577 883.0556 5.713878
51 51 235 14501.279 1307.0182 9.013124
52 52 180 11661.446 1370.2542 11.750295
Domain SampSize Direct SD CV
1 Alava 96 7121.005 978.9280 13.747049
2 Albacete 173 13091.669 1380.7139 10.546508
3 Alicante 539 13054.001 697.0416 5.339678
4 Almeria 198 13158.890 1242.0200 9.438638
5 Avila 58 10592.494 1802.3255 17.015120
6 Badajoz 494 13213.102 759.5069 5.748134
7 Baleares 634 14240.291 780.7269 5.482521
8 Barcelona 1420 11391.583 387.3791 3.400573
9 Burgos 168 17193.316 1941.0206 11.289391
10 Caceres 282 9173.640 781.1630 8.515301
11 Cadiz 398 16590.280 1047.6163 6.314639
12 Castellon 118 7922.602 890.4710 11.239629
51 Ceuta 235 14501.279 1307.0182 9.013124
13 CiudadReal 250 13014.733 1069.4094 8.216914
14 Cordoba 224 9238.661 756.3274 8.186549
15 CorunaLa 495 10664.224 640.1909 6.003164
16 Cuenca 92 9726.538 1278.6810 13.146311
17 Gerona 142 9631.635 1001.6669 10.399760
18 Granada 208 9492.997 869.7582 9.162103
19 Guadalajara 89 10197.979 1532.7710 15.030146
20 Guipuzcoa 285 11665.247 942.8695 8.082722
21 Huelva 122 13287.910 1524.2953 11.471295
22 Huesca 115 9105.395 1136.5260 12.481897
23 Jaen 232 12730.452 1085.3034 8.525254
24 Leon 218 9819.389 873.2891 8.893518
25 Lerida 130 15563.262 2058.6055 13.227339
27 Lugo 173 9444.694 941.5500 9.969090
28 Madrid 944 13057.341 605.1017 4.634187
29 Malaga 379 11662.044 802.1492 6.878290
52 Melilla 180 11661.446 1370.2542 11.750295
30 Murcia 885 13259.506 638.0530 4.812042
31 Navarra 564 13735.008 783.8567 5.706999
32 Orense 129 8942.922 1320.8213 14.769460
33 Oviedo 803 11221.799 591.8854 5.274425
34 Palencia 72 9189.167 1385.4011 15.076460
35 PalmasLas 472 16529.191 1080.7667 6.538534
36 Pontevedra 448 15337.141 919.5169 5.995361
26 RiojaLa 510 11836.719 780.5658 6.594444
37 Salamanca 164 12020.292 1328.1631 11.049342
39 Santander 434 9731.450 704.8761 7.243279
40 Segovia 58 8994.437 1470.5287 16.349313
41 Sevilla 482 11117.879 617.7463 5.556332
42 Soria 20 6597.581 1753.4391 26.577001
43 Tarragona 134 6204.736 681.4471 10.982694
38 Tenerife 381 9092.715 611.0477 6.720190
44 Teruel 72 9677.507 1855.1802 19.170022
45 Toledo 275 14107.708 1136.2947 8.054424
46 Valencia 714 11643.482 553.7125 4.755557
47 Valladolid 299 16833.008 1206.8993 7.169837
48 Vizcaya 524 12607.676 723.4707 5.738336
49 Zamora 104 11360.706 1432.0437 12.605235
50 Zaragoza 564 15454.577 883.0556 5.713878
Domain SampSize Direct SD CV
1 Alava 96 10105.287 702.3915 6.950732
2 Albacete 173 13265.970 539.9709 4.070346
3 Alicante 539 12179.521 313.9160 2.577409
4 Almeria 198 12059.517 529.6645 4.392088
5 Avila 58 14019.712 963.9689 6.875811
6 Badajoz 494 12511.970 321.8370 2.572233
7 Baleares 634 14882.657 305.4036 2.052077
8 Barcelona 1420 10807.535 177.9112 1.646178
9 Burgos 168 13186.984 608.5386 4.614691
10 Caceres 282 9896.033 354.1848 3.579059
11 Cadiz 398 14529.255 407.9764 2.807965
12 Castellon 118 10823.324 529.4779 4.892009
51 Ceuta 235 12969.666 492.9915 3.801111
13 CiudadReal 250 12674.666 476.8651 3.762348
14 Cordoba 224 10066.604 388.0481 3.854807
15 CorunaLa 495 11127.150 301.6030 2.710514
16 Cuenca 92 11617.417 726.9723 6.257607
17 Gerona 142 11499.240 490.8290 4.268360
18 Granada 208 10351.829 480.7398 4.644008
19 Guadalajara 89 11779.328 718.5038 6.099701
20 Guipuzcoa 285 11579.721 412.5300 3.562521
21 Huelva 122 14799.152 740.0982 5.000950
22 Huesca 115 10636.029 589.6462 5.543856
23 Jaen 232 11180.785 463.7766 4.147979
24 Leon 218 10760.151 387.5303 3.601532
25 Lerida 130 13651.307 702.5331 5.146270
27 Lugo 173 9711.226 408.5270 4.206750
28 Madrid 944 13082.632 250.4293 1.914212
29 Malaga 379 11864.375 364.1834 3.069554
52 Melilla 180 12336.983 546.3280 4.428376
30 Murcia 885 13051.420 251.9265 1.930261
31 Navarra 564 13747.753 353.4242 2.570778
32 Orense 129 10705.264 640.9692 5.987421
33 Oviedo 803 11022.379 240.5450 2.182333
34 Palencia 72 11074.678 713.4901 6.442536
35 PalmasLas 472 14373.607 382.8277 2.663407
36 Pontevedra 448 14104.526 383.2660 2.717326
26 RiojaLa 510 11501.371 322.5749 2.804665
37 Salamanca 164 13143.700 657.6108 5.003239
39 Santander 434 9587.014 310.8231 3.242126
40 Segovia 58 10528.493 817.9002 7.768445
41 Sevilla 482 11751.782 290.6764 2.473466
42 Soria 20 13250.332 1150.4417 8.682361
43 Tarragona 134 8500.723 462.8108 5.444370
38 Tenerife 381 11426.812 333.3318 2.917102
44 Teruel 72 10639.357 937.4045 8.810725
45 Toledo 275 13885.110 457.9127 3.297869
46 Valencia 714 11812.881 255.4532 2.162497
47 Valladolid 299 13652.277 431.5035 3.160671
48 Vizcaya 524 12098.812 321.0908 2.653904
49 Zamora 104 10996.844 649.9185 5.910046
50 Zaragoza 564 14940.941 336.9009 2.254884
Domain SampSize Direct SD CV
1 Alava 96 10105.287 702.5052 6.951858
2 Albacete 173 13265.970 540.0934 4.071270
3 Alicante 539 12179.521 313.9653 2.577813
4 Almeria 198 12059.517 529.7494 4.392791
5 Avila 58 14019.712 964.1403 6.877034
6 Badajoz 494 12511.970 321.9575 2.573196
7 Baleares 634 14882.657 305.5020 2.052738
8 Barcelona 1420 10807.535 177.9358 1.646405
9 Burgos 168 13186.984 608.6834 4.615789
10 Caceres 282 9896.033 354.3085 3.580308
11 Cadiz 398 14529.255 408.0460 2.808444
12 Castellon 118 10823.324 529.5355 4.892541
51 Ceuta 235 12969.666 493.8096 3.807419
13 CiudadReal 250 12674.666 476.9855 3.763298
14 Cordoba 224 10066.604 388.1045 3.855366
15 CorunaLa 495 11127.150 301.6704 2.711120
16 Cuenca 92 11617.417 727.1344 6.259002
17 Gerona 142 11499.240 490.8820 4.268821
18 Granada 208 10351.829 480.7975 4.644566
19 Guadalajara 89 11779.328 718.6593 6.101021
20 Guipuzcoa 285 11579.721 412.6168 3.563270
21 Huelva 122 14799.152 740.1922 5.001585
22 Huesca 115 10636.029 589.8053 5.545352
23 Jaen 232 11180.785 463.8598 4.148723
24 Leon 218 10760.151 387.6185 3.602352
25 Lerida 130 13651.307 702.6477 5.147109
27 Lugo 173 9711.226 408.6289 4.207800
28 Madrid 944 13082.632 250.4493 1.914365
29 Malaga 379 11864.375 364.2313 3.069957
52 Melilla 180 12336.983 547.0822 4.434489
30 Murcia 885 13051.420 252.0101 1.930902
31 Navarra 564 13747.753 353.5958 2.572026
32 Orense 129 10705.264 641.0954 5.988600
33 Oviedo 803 11022.379 240.6369 2.183167
34 Palencia 72 11074.678 713.6430 6.443916
35 PalmasLas 472 14373.607 382.9173 2.664031
36 Pontevedra 448 14104.526 383.3590 2.717986
26 RiojaLa 510 11501.371 322.8506 2.807062
37 Salamanca 164 13143.700 657.7684 5.004439
39 Santander 434 9587.014 310.9450 3.243397
40 Segovia 58 10528.493 818.0547 7.769913
41 Sevilla 482 11751.782 290.7156 2.473801
42 Soria 20 13250.332 1150.5694 8.683325
43 Tarragona 134 8500.723 462.8547 5.444886
38 Tenerife 381 11426.812 333.3992 2.917692
44 Teruel 72 10639.357 937.6474 8.813008
45 Toledo 275 13885.110 458.0186 3.298631
46 Valencia 714 11812.881 255.4915 2.162821
47 Valladolid 299 13652.277 431.6310 3.161605
48 Vizcaya 524 12098.812 321.1658 2.654523
49 Zamora 104 10996.844 650.0931 5.911633
50 Zaragoza 564 14940.941 337.0070 2.255594
sae documentation built on March 26, 2020, 7:52 p.m.
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Description Usage Arguments Value References See Also Examples
Description
This function calculates direct estimators of domain means.
Usage
1 |
Arguments
y |
vector specifying the individual values of the variable for which we want to estimate the domain means. |
dom |
vector or factor (same size as |
sweight |
optional vector (same size as |
domsize |
|
data |
optional data frame containing the variables named in |
replace |
logical variable with default value |
Value
The function returns a data frame of size D*5 with the following columns:
Domain |
domain codes in ascending order. |
SampSize |
domain sample sizes. |
Direct |
direct estimators of domain means of variable |
SD |
estimated standard deviations of domain direct estimators. If sampling design is SRS or Poisson sampling, estimated variances are unbiased. Otherwise, estimated variances are obtained under the approximation that second order inclusion probabilities are the product of first order inclusion probabilities. |
CV |
absolute value of percent coefficients of variation of domain direct estimators. |
Cases with NA values in y, dom or sweight are ignored.
References
- Cochran, W.G. (1977). Sampling techniques. Wiley, New York.
- Rao, J.N.K. (2003). Small Area Estimation. Wiley, London.
- Sarndal, C.E., Swensson, B. and Wretman, J. (1992). Model Assisted Survey Sampling. Springer-Verlag.
See Also
pssynt for post-stratified synthetic estimator, ssd for sample size dependent estimator.
In case that the sampling design is known, see packages survey or sampling for more exact variance estimation.
Examples
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | # Load data set with synthetic income data for provinces (domains)
data(incomedata)
# Load population sizes of provinces
data(sizeprov)
# Compute Horvitz-Thompson direct estimator of mean income for each
# province under random sampling without replacement within each province.
result1 <- direct(y=income, dom=prov, sweight=weight,
domsize=sizeprov[,2:3], data=incomedata)
result1
# The same but using province labels as domain codes
result2 <- direct(y=incomedata$income, dom=incomedata$provlab,
sweight=incomedata$weight, domsize=sizeprov[,c(1,3)])
result2
# The same, under SRS without replacement within each province.
result3 <- direct(y=income ,dom=provlab, domsize=sizeprov[,c(1,3)],
data=incomedata)
result3
# Compute direct estimator of mean income for each province
# under SRS with replacement within each province
result4 <- direct(y=income, dom=provlab, data=incomedata, replace=TRUE)
result4
|
Example output
Loading required package: MASS
Loading required package: lme4
Loading required package: Matrix
Domain SampSize Direct SD CV
1 1 96 7121.005 978.9280 13.747049
2 2 173 13091.669 1380.7139 10.546508
3 3 539 13054.001 697.0416 5.339678
4 4 198 13158.890 1242.0200 9.438638
5 5 58 10592.494 1802.3255 17.015120
6 6 494 13213.102 759.5069 5.748134
7 7 634 14240.291 780.7269 5.482521
8 8 1420 11391.583 387.3791 3.400573
9 9 168 17193.316 1941.0206 11.289391
10 10 282 9173.640 781.1630 8.515301
11 11 398 16590.280 1047.6163 6.314639
12 12 118 7922.602 890.4710 11.239629
13 13 250 13014.733 1069.4094 8.216914
14 14 224 9238.661 756.3274 8.186549
15 15 495 10664.224 640.1909 6.003164
16 16 92 9726.538 1278.6810 13.146311
17 17 142 9631.635 1001.6669 10.399760
18 18 208 9492.997 869.7582 9.162103
19 19 89 10197.979 1532.7710 15.030146
20 20 285 11665.247 942.8695 8.082722
21 21 122 13287.910 1524.2953 11.471295
22 22 115 9105.395 1136.5260 12.481897
23 23 232 12730.452 1085.3034 8.525254
24 24 218 9819.389 873.2891 8.893518
25 25 130 15563.262 2058.6055 13.227339
26 26 510 11836.719 780.5658 6.594444
27 27 173 9444.694 941.5500 9.969090
28 28 944 13057.341 605.1017 4.634187
29 29 379 11662.044 802.1492 6.878290
30 30 885 13259.506 638.0530 4.812042
31 31 564 13735.008 783.8567 5.706999
32 32 129 8942.922 1320.8213 14.769460
33 33 803 11221.799 591.8854 5.274425
34 34 72 9189.167 1385.4011 15.076460
35 35 472 16529.191 1080.7667 6.538534
36 36 448 15337.141 919.5169 5.995361
37 37 164 12020.292 1328.1631 11.049342
38 38 381 9092.715 611.0477 6.720190
39 39 434 9731.450 704.8761 7.243279
40 40 58 8994.437 1470.5287 16.349313
41 41 482 11117.879 617.7463 5.556332
42 42 20 6597.581 1753.4391 26.577001
43 43 134 6204.736 681.4471 10.982694
44 44 72 9677.507 1855.1802 19.170022
45 45 275 14107.708 1136.2947 8.054424
46 46 714 11643.482 553.7125 4.755557
47 47 299 16833.008 1206.8993 7.169837
48 48 524 12607.676 723.4707 5.738336
49 49 104 11360.706 1432.0437 12.605235
50 50 564 15454.577 883.0556 5.713878
51 51 235 14501.279 1307.0182 9.013124
52 52 180 11661.446 1370.2542 11.750295
Domain SampSize Direct SD CV
1 Alava 96 7121.005 978.9280 13.747049
2 Albacete 173 13091.669 1380.7139 10.546508
3 Alicante 539 13054.001 697.0416 5.339678
4 Almeria 198 13158.890 1242.0200 9.438638
5 Avila 58 10592.494 1802.3255 17.015120
6 Badajoz 494 13213.102 759.5069 5.748134
7 Baleares 634 14240.291 780.7269 5.482521
8 Barcelona 1420 11391.583 387.3791 3.400573
9 Burgos 168 17193.316 1941.0206 11.289391
10 Caceres 282 9173.640 781.1630 8.515301
11 Cadiz 398 16590.280 1047.6163 6.314639
12 Castellon 118 7922.602 890.4710 11.239629
51 Ceuta 235 14501.279 1307.0182 9.013124
13 CiudadReal 250 13014.733 1069.4094 8.216914
14 Cordoba 224 9238.661 756.3274 8.186549
15 CorunaLa 495 10664.224 640.1909 6.003164
16 Cuenca 92 9726.538 1278.6810 13.146311
17 Gerona 142 9631.635 1001.6669 10.399760
18 Granada 208 9492.997 869.7582 9.162103
19 Guadalajara 89 10197.979 1532.7710 15.030146
20 Guipuzcoa 285 11665.247 942.8695 8.082722
21 Huelva 122 13287.910 1524.2953 11.471295
22 Huesca 115 9105.395 1136.5260 12.481897
23 Jaen 232 12730.452 1085.3034 8.525254
24 Leon 218 9819.389 873.2891 8.893518
25 Lerida 130 15563.262 2058.6055 13.227339
27 Lugo 173 9444.694 941.5500 9.969090
28 Madrid 944 13057.341 605.1017 4.634187
29 Malaga 379 11662.044 802.1492 6.878290
52 Melilla 180 11661.446 1370.2542 11.750295
30 Murcia 885 13259.506 638.0530 4.812042
31 Navarra 564 13735.008 783.8567 5.706999
32 Orense 129 8942.922 1320.8213 14.769460
33 Oviedo 803 11221.799 591.8854 5.274425
34 Palencia 72 9189.167 1385.4011 15.076460
35 PalmasLas 472 16529.191 1080.7667 6.538534
36 Pontevedra 448 15337.141 919.5169 5.995361
26 RiojaLa 510 11836.719 780.5658 6.594444
37 Salamanca 164 12020.292 1328.1631 11.049342
39 Santander 434 9731.450 704.8761 7.243279
40 Segovia 58 8994.437 1470.5287 16.349313
41 Sevilla 482 11117.879 617.7463 5.556332
42 Soria 20 6597.581 1753.4391 26.577001
43 Tarragona 134 6204.736 681.4471 10.982694
38 Tenerife 381 9092.715 611.0477 6.720190
44 Teruel 72 9677.507 1855.1802 19.170022
45 Toledo 275 14107.708 1136.2947 8.054424
46 Valencia 714 11643.482 553.7125 4.755557
47 Valladolid 299 16833.008 1206.8993 7.169837
48 Vizcaya 524 12607.676 723.4707 5.738336
49 Zamora 104 11360.706 1432.0437 12.605235
50 Zaragoza 564 15454.577 883.0556 5.713878
Domain SampSize Direct SD CV
1 Alava 96 10105.287 702.3915 6.950732
2 Albacete 173 13265.970 539.9709 4.070346
3 Alicante 539 12179.521 313.9160 2.577409
4 Almeria 198 12059.517 529.6645 4.392088
5 Avila 58 14019.712 963.9689 6.875811
6 Badajoz 494 12511.970 321.8370 2.572233
7 Baleares 634 14882.657 305.4036 2.052077
8 Barcelona 1420 10807.535 177.9112 1.646178
9 Burgos 168 13186.984 608.5386 4.614691
10 Caceres 282 9896.033 354.1848 3.579059
11 Cadiz 398 14529.255 407.9764 2.807965
12 Castellon 118 10823.324 529.4779 4.892009
51 Ceuta 235 12969.666 492.9915 3.801111
13 CiudadReal 250 12674.666 476.8651 3.762348
14 Cordoba 224 10066.604 388.0481 3.854807
15 CorunaLa 495 11127.150 301.6030 2.710514
16 Cuenca 92 11617.417 726.9723 6.257607
17 Gerona 142 11499.240 490.8290 4.268360
18 Granada 208 10351.829 480.7398 4.644008
19 Guadalajara 89 11779.328 718.5038 6.099701
20 Guipuzcoa 285 11579.721 412.5300 3.562521
21 Huelva 122 14799.152 740.0982 5.000950
22 Huesca 115 10636.029 589.6462 5.543856
23 Jaen 232 11180.785 463.7766 4.147979
24 Leon 218 10760.151 387.5303 3.601532
25 Lerida 130 13651.307 702.5331 5.146270
27 Lugo 173 9711.226 408.5270 4.206750
28 Madrid 944 13082.632 250.4293 1.914212
29 Malaga 379 11864.375 364.1834 3.069554
52 Melilla 180 12336.983 546.3280 4.428376
30 Murcia 885 13051.420 251.9265 1.930261
31 Navarra 564 13747.753 353.4242 2.570778
32 Orense 129 10705.264 640.9692 5.987421
33 Oviedo 803 11022.379 240.5450 2.182333
34 Palencia 72 11074.678 713.4901 6.442536
35 PalmasLas 472 14373.607 382.8277 2.663407
36 Pontevedra 448 14104.526 383.2660 2.717326
26 RiojaLa 510 11501.371 322.5749 2.804665
37 Salamanca 164 13143.700 657.6108 5.003239
39 Santander 434 9587.014 310.8231 3.242126
40 Segovia 58 10528.493 817.9002 7.768445
41 Sevilla 482 11751.782 290.6764 2.473466
42 Soria 20 13250.332 1150.4417 8.682361
43 Tarragona 134 8500.723 462.8108 5.444370
38 Tenerife 381 11426.812 333.3318 2.917102
44 Teruel 72 10639.357 937.4045 8.810725
45 Toledo 275 13885.110 457.9127 3.297869
46 Valencia 714 11812.881 255.4532 2.162497
47 Valladolid 299 13652.277 431.5035 3.160671
48 Vizcaya 524 12098.812 321.0908 2.653904
49 Zamora 104 10996.844 649.9185 5.910046
50 Zaragoza 564 14940.941 336.9009 2.254884
Domain SampSize Direct SD CV
1 Alava 96 10105.287 702.5052 6.951858
2 Albacete 173 13265.970 540.0934 4.071270
3 Alicante 539 12179.521 313.9653 2.577813
4 Almeria 198 12059.517 529.7494 4.392791
5 Avila 58 14019.712 964.1403 6.877034
6 Badajoz 494 12511.970 321.9575 2.573196
7 Baleares 634 14882.657 305.5020 2.052738
8 Barcelona 1420 10807.535 177.9358 1.646405
9 Burgos 168 13186.984 608.6834 4.615789
10 Caceres 282 9896.033 354.3085 3.580308
11 Cadiz 398 14529.255 408.0460 2.808444
12 Castellon 118 10823.324 529.5355 4.892541
51 Ceuta 235 12969.666 493.8096 3.807419
13 CiudadReal 250 12674.666 476.9855 3.763298
14 Cordoba 224 10066.604 388.1045 3.855366
15 CorunaLa 495 11127.150 301.6704 2.711120
16 Cuenca 92 11617.417 727.1344 6.259002
17 Gerona 142 11499.240 490.8820 4.268821
18 Granada 208 10351.829 480.7975 4.644566
19 Guadalajara 89 11779.328 718.6593 6.101021
20 Guipuzcoa 285 11579.721 412.6168 3.563270
21 Huelva 122 14799.152 740.1922 5.001585
22 Huesca 115 10636.029 589.8053 5.545352
23 Jaen 232 11180.785 463.8598 4.148723
24 Leon 218 10760.151 387.6185 3.602352
25 Lerida 130 13651.307 702.6477 5.147109
27 Lugo 173 9711.226 408.6289 4.207800
28 Madrid 944 13082.632 250.4493 1.914365
29 Malaga 379 11864.375 364.2313 3.069957
52 Melilla 180 12336.983 547.0822 4.434489
30 Murcia 885 13051.420 252.0101 1.930902
31 Navarra 564 13747.753 353.5958 2.572026
32 Orense 129 10705.264 641.0954 5.988600
33 Oviedo 803 11022.379 240.6369 2.183167
34 Palencia 72 11074.678 713.6430 6.443916
35 PalmasLas 472 14373.607 382.9173 2.664031
36 Pontevedra 448 14104.526 383.3590 2.717986
26 RiojaLa 510 11501.371 322.8506 2.807062
37 Salamanca 164 13143.700 657.7684 5.004439
39 Santander 434 9587.014 310.9450 3.243397
40 Segovia 58 10528.493 818.0547 7.769913
41 Sevilla 482 11751.782 290.7156 2.473801
42 Soria 20 13250.332 1150.5694 8.683325
43 Tarragona 134 8500.723 462.8547 5.444886
38 Tenerife 381 11426.812 333.3992 2.917692
44 Teruel 72 10639.357 937.6474 8.813008
45 Toledo 275 13885.110 458.0186 3.298631
46 Valencia 714 11812.881 255.4915 2.162821
47 Valladolid 299 13652.277 431.6310 3.161605
48 Vizcaya 524 12098.812 321.1658 2.654523
49 Zamora 104 10996.844 650.0931 5.911633
50 Zaragoza 564 14940.941 337.0070 2.255594
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