The statistics based on the 5-percent sample of the 1960 Census returns are estimates that have been developed through the use of a Ratio Estimation procedure. This procedure was carried out for each of the following 44 groups of persons in each of the sample weighting areas:
1
Group |
Sex, color, and age |
Relationship and tenure |
|
Male white: |
|
1 |
Under 5 |
|
2 |
5 to 13 |
|
3 |
14 to 24 |
Head of owner household |
4 |
14 to 24 |
Head of renter household |
5 |
14 to 24 |
Not head of household |
6-8 |
25 to 44 |
Same groups as age group 14 to 24 |
9-11 |
45 and over |
Same groups as age group 14 to 24 |
|
Male nonwhite: |
|
12-22 |
Same groups as male white |
|
|
Female white: |
|
23-33 |
Same groups as male white |
|
|
Female nonwhite: |
|
34-44 |
Same groups as male white |
|
The sample weighting areas were defined as those areas within a State consisting of central cities of Urbanized Areas, the remaining portion of Urbanized Areas not in central cities, urban places not in Urbanized Areas, or rural areas.
For each of the groups, the ratio of the complete count to the sample count of the population in the group was determined. Each specific sample person in the group was assigned an integral weight so that the sum of the weights would equal the complete count for the group. For example, if the ratio for a group was 20.1, one-tenth of the persons (selected at random) within the group were assigned a weight of 21, and the remaining nine-tenths a weight of 20. The use of such a combination of integral weights rather than a single fractional weight was adopted to avoid the complications Involved In rounding in the final tables. In order to Increase the reliability, where there were fewer than 275 persons in the complete count in a group, or where the resulting weight was over 80, groups were combined in a specific order to satisfy both of these conditions.
These ratio estimates reduce the component of sampling error arising from the variation in the size of household and achieve some of the gains of stratification in the selection of the sample, with the strata being the groups for which separate ratio estimates are computed. The net effect is a reduction in the sampling error and bias of most statistics below what would be obtained by weighting the results of the 5-percent sample by a uniform factor of twenty. The reduction in sampling error will be trivial for some items and substantial for others.