MAKING IT USEABLE
   Interpreting Estimates

      Sampling Error for Subsets of the NPTS Data
     

As noted in the preceding segment, sampling errors cannot be estimated precisely for subsets of the data if those subsets are not random subsets.

If a subset of data is chosen on the basis of any characteristic in the data, such as household size, geographic location, vehicle ownership, etc. it is by definition nonrandom, unless the subset comprises one or more entire strata from the stratified sample design. Although not recommended it is possible that by selecting geographic regions that comprise specific strata of the original sample, we can estimate some sampling errors for smaller geographic subsamples.

Table 9
Comparison of Sampling Errors by Geographic Level


Measure

Statistics

Nation

South

Louisiana

New Orleans

Sample Size  

42,033

11,121

354

101

Household Size Mean

2.584

2.554

2.606

2.527

Standard
Deviation

1.409

1.371

1.308

1.183

Sampling
Error (SE)

0.010

0.016

0.071

0.118

SE as
% of Mean

0.37%

0.63%

2.71%

4.66%

Vehicles per Household Mean

1.779

1.796

1.746

1.613

Standard
Deviation

1.036

0.993

0.967

0.987

Sampling
Error (SE)

0.007

0.012

0.051

0.098

SE as
% of Mean

0.36%

0.64%

2.91%

6.09%

Work Trips per Household Mean

2.790

2.816

2.628

3.243

Standard
Deviation

3.710

3.760

3.628

4.316

Sampling
Error (SE)

0.025

0.044

0.192

0.429

SE as
% of Mean

0.90%

1.57%

7.31%

13.24%

Workers per Household Mean

1.299

1.282

1.260

1.403

Standard
Deviation

0.959

0.939

0.878

0.874

Sampling
Error (SE)

0.006

0.011

0.047

0.087

SE as
% of Mean

0.50%

0.85%

3.72%

6.20%

Annual Vehicle Miles of Travel per Vehicle Mean

12,226.0

13,108.2

14,308.8

14,003.5

Standard
Deviation

12,286.0

12,977.0

16,507.2

14,581.2

Sampling
Error (SE)

66.3

120.8

727.2

1,219.2

SE as
% of Mean

0.54%

0.92%

5.08%

10.21%

Bicycle Trips per Household Mean

0.082

0.056

0.104

0.086

Standard
Deviation

0.635

0.482

0.721

0.546

Sampling
Error (SE)

0.004

0.006

0.039

0.054

SE as
% of Mean

5.22%

10.13%

37.12%

63.28%


The table above shows that, for most statistics, the means change a little from level to level, largely as a function of geographic differences, while the sampling errors increase with decreasing geography, as one would expect.