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Sample Size

In its Feasibility Study (see table below), Stat Can illustrated the sample sizes necessary to achieve the precision previously described, for estimates pertaining to individuals. The cv's illustrated correspond to a min p of 0.10. It is assumed that this precision is needed at the region level, for the Inuit population only. This requirement is indicated by the shaded cells. For example, a sample size of 677 Inuit people is necessary in Nunavik in order to obtain a cv of 16.5% for a proportion of 0.10 of the Inuit population.

The last two columns of the table show what the total sample size (Inuit persons plus non-Inuit persons) would be if the proposed design of collecting data for both Inuit and non-Inuit people is chosen, and the cv's of the corresponding estimates. Resulting samples and cv's for the three sub-regions of Nunavut are also shown.

All sample sizes in Stat Can's table reproduced below are called basic since they are the minimum sizes needed to meet the requirements at the region level.

Table A: Basic sample sizes by region

Region

Sub-region

Total pop 16+

Inuit pop 16+

Inuit sample

Inuit cv

Total sample

Total cv

Labrador a

2010

1440

431

16.5

580

14.3

Nunavik

4985

4165

635

16.5

803

14.6

Inuvik

3785

1885

545

16.5

1060

11.9

Nunavut

Baffin

8025

5770

355

23.1

492

19.6

 

Keewatin

3980

3265

201

30.7

245

27.8

 

Kitikmeot

2730

2250

139

36.9

170

33.3

Total Nunavut

14735

11285

695

16.5

907

14.4

Total

25515

18775

2305

10.8

3351

9.1

a  due to the low proportion of Inuit in the following communities, they have been excluded from the sample size calculations for Labrador:  Port Hope Simpson; Cartwright; Division No. 10, Subdivision C; Happy Valley-Goose Bay; Labrador City; and Division No. 10, Subdivision E.

The variation in sample frames and regional populations across SLiCA countries means that the above table is only illustrative of the precise sample sizes needed. However, the above illustration was used by the SLiCA team as the basis for a target sample size for each reporting region of approximately 600.

National Differences in Sample Size:

Canada
Alaska
Sweden
Chukotka
Greenland

Canada

Subsequent to this report, Statistics Canada agreed to a proposal by the SLiCA indigenous Steering Committee to combine SLiCA in Canada with Stat Can's Aboriginal People's Survey (APS). APS was designed to provide reliable results (for selected variables) at the community level. Therefore the required sample sizes were much larger in Canada than originally envisioned for SLiCA where regional level results are targeted.

For the on-community portion of 2001 APS (which included the 53 Inuit communities in arctic regions), a targeted minimum proportion of 10% with a maximum CV of 25% were fixed for the adults. The strategy was then to estimate the number of adults required in the sample in order to meet these requirements and apply the same sampling fraction to the children. Note that because the number of children is smaller than the number of adults for most, if not all communities, less precision will be achieved for the children. This means that, for a characteristic present for 10% of the children, the CV will be larger than 25% (less precise). Alternatively, for a CV of 25%, the minimum proportion of children having a specific characteristic will have to be greater than 10%. Note that these calculations were made by community rather than by region, as in the case of the initial Feasibility Study. Therefore the sample sizes required are much larger.

The sample size also considered expected levels of response. Projected response rates ranged from 75% on First Nation reserves to 90% on Inuit communities. These were estimated using what had been obtained in 1991 APS. Since observed response rates were often larger then what had been anticipated, this could lead to smaller CV's in the estimation phase in certain communities.

The total sample size for the 53 Inuit communities combined was 10,775. The following communities were included:

Core and Arctic Supplement

Prov.

Community Name

Newfoundland/Labrador

Happy Valley-Goose Bay

 

Makkovik

 

Nain

 

Postville

 

Rigolet

Québec

Akulivik

 

Aupaluk

 

Chisasibi

 

Inukjuak

 

Ivujivik

 

Kangiqsualujjuaq

 

Kangiqsujuaq

 

Kangirsuk

 

Kuujjuaq

 

Kuujjuarapik

 

Puvirnituq

 

Quaqtaq

 

Salluit

 

Tasiujaq

 

Umiujaq

Northwest Territories

Aklavik

 

Hay River Dene 1

 

Holman

 

Inuvik

 

Paulatuk

 

Sachs Harbour

 

Tuktoyaktuk

Nunavut

Arctic Bay

 

Arviat

 

Baker Lake

 

Bathurst Inlet

 

Cambridge Bay

 

Cape Dorset

 

Chesterfield Inlet

 

Clyde River

 

Coral Harbour

 

Gjoa Haven

 

Grise Fiord

 

Hall Beach

 

Igloolik

 

Iqaluit

 

Kimmirut

 

Kugaaruk

 

Kugluktuk

 

Pangnirtung

 

Pond Inlet

 

Qikiqtarjuaq

 

Rankin Inlet

 

Repulse Bay

 

Resolute

 

Sanikiluaq

 

Taloyoak

 

Umingmaktok

 

Whale Cove

Alaska

Alaska's originally proposed design called for each of the Iņupiat sub-regions to be considered a reporting region. Based on Stat Can's Feasibility Study, this would require samples of approximately 600 in each region. Based on funding constraints, we changed our design to consider the three Iņupiat sub-regions combined as a primary SLiCA reporting region. We therefore designed the sample to yield approximately 600 interviews.

While 600 interviews is required to meet Stat Can's original level of reliability, lower sample sizes can nevertheless provide unbiased estimates for sub-populations at a lower level of reliability. We decided that it was important to provide regional Native organizations with separate tabulations and therefore targeted 200 interviews in each of the three Iņupiat sub-regions: North Slope, Northwest Arctic, and Bering Straits.

Applying the sample methods described earlier, the following shows the samples selected for Alaska communities:

Community Sample Size Selected
Deering 28
Kivalina 22
Kotzebue 217
Noorvik 28
Selawik 27
Shungnak 23
NWA Regional Totals 345
Barrow 176
Wainwright 45
Atqasuk 11
Nuiqsut 22
Kaktovik 18
Anaktuvuk Pass 18
Point Lay 16
Point Hope 35
North Slope Regional Totals 341
Nome 342
Savoonga 28
Brevig Mission 23
Koyuk 25
Stebbins 23
Unalakleet 24
Bering Straits Regional Totals 465
Grand Totals 1151

Sweden

The Swedish Saami sample was drawn with a random start and sampling interval from a list ordered by community. There was only one stage of sampling (individuals). Therefore the sample is highly dispersed geographically in proportion to the actual distribution of the Sameting voting list.

Chukotka

Applying the sample design described earlier with adjustments for anticipated non-indigenous households and non-completed interviews, the following is the selected sample:

Region District Community Desired number of interviews Oversample for Non-complete Intw's Oversample for Non-Ind. HH's
Anadyr Anadyr  Anadyr', center of okrug, city 36 42 47
Central Anadyrskij  5. Lamutskoe 10 12 13
Central Anadyrskij  9. Markovo 14 16 18
Central Anadyrskij  8. Tavajvaam 30 35 39
Central Anadyrskij  10. Ust'-Belaja 15 18 20
Central Shmidtovskij 49. Ryrkarpij 17 20 22
Eastern Beringovskij 13. Al'katvaam 14 16 18
Eastern Beringovskij 14. Mejnypil'gyno 14 16 18
Eastern Chukotskij 45. Enurmino 20 24 26
Eastern Chukotskij 44. Uelen 20 24 26
Eastern Chukotskij 40. Lavrentija, center of district, village 10 12 13
Eastern Chukotskij 42. Lorino 30 35 39
Eastern Iul'tinskij 24. Egvekinot, center of district, town 11 13 14
Eastern Iul'tinskij 25. Amguema 11 13 14
Siberian Yupik Iul'tinskij 29. Uel'kal' 32 38 42
Siberian Yupik Providenskij 30. Providenija, center of district, town 32 38 50
Siberian Yupik Providenskij 31. Novoe Chaplino 32 38 42
Siberian Yupik Providenskij 35. Janrakynnot 32 38 42
Siberian Yupik Providenskij 34. Enmelen 32 38 42
Siberian Yupik Providenskij 33. Sireniki 42 49 55
Western Bilibinskij 22. Omolon 30 35 39
Western Bilibinskij 17. Bilibino, center of district, city 11 13 14
Western Chaunskij 37. Rytkuchi 17 20 22
Western Chaunskij 36. Pevek, center of district, city 13 15 20
Totals     525 618 698

Greenland

Applying Greenland's sample design, the following are targeted numbers of respondents by city, settlement, and region:

Regions Population Respondents (Cities) Respondents (Settlements) Respondents (Regions)
       
Northern Greenland 4550 142 188 330
Upernavik 1989 142 188 330
       
Disko Region 9349 352 72 424
Ilulissat 3812 206 48 254
Aasiaat 2621 146 24 170
       
Mid Region 19965 700 86 786
Nuuk 11154 620 58 679
Paamiut 1530 79 28 107
       
Southern Greenland 6068 249 81 330
Qaqortoq 2654 169 19 188
Nanortalik 1827 80 62 142
       
Eastern Greenland 2470 207 123 330
Tasiilaq 2089 207 123 330
       
8 municipalities 27676 1650 550 2200
Whole country 42402 1650 550 2200

Please continue with Interview Methods.