Thursday, July 30, 2015

Comparing income inequality by FSA's between 2006 and 2011QAAA

Question

A researcher is having difficulties comparing income equality (for economic families or households) by FSA’s between 2006 and 2011. We would like to ask for help finding this information please.

1. Is it possible to get standard error measures for 2011, as there are for 2006 (as shown in purple below)? How would we go about getting this?

2. If that proves difficult, the researcher would like to calculate GINI coefficient, but she needs (by FSA) total income for all economic families &/or all households. The values highlighted in yellow seem too low to represent total income, what do they represent total numbers of economic families/households?

3. If so, how would we go about getting the sum total of all income (of all economic families/households) by FSA (used to calculate medians and averages)?

Illustrations:

In 2006, the Census profile 94-581-XCB2006003 by FSA shows these measures :
Profile of Forward Sortation Areas
E.g. Canada (01)   20000
Family income in 2005 of economic families - 20% sample data
8,782,350
Median family income $
66343
Average family income $
82325
Standard error of average family income $
83
Household income in 2005 of private households - 20% sample data
12,437,470
Median household income $
53634
Average household income $
69548
Standard error of average household income $
63

a. Personal income (not wanted)

In 2011, the NHS Profile by FSA shows these measures - EO1976_ID579862

2011 NHS
Canada ( 26.1%)
Household total income in 2010 of private households
13,319,250
Household income in 2010 of private households
13319255
  Median household total income $
61072
  Average household total income $
79102
Family income in 2010 of economic families
9,254,165
  Median family income $
76511
  Average family income $
94125


Answer

I consulted the responsible subject matter division and they have advised on your questions in red below:

1) The voluntary 2011 NHS replaced the mandatory census long form. As with most voluntary surveys, there are more risks associated with non-response in the NHS. In order to limit the effects of non-response, the systems and methodology normally used for the census long form were changed to introduce new methods at the collection, sampling and estimation stages.

The NHS is now a two-phase sample design, compared to the single-phase sample design in the census. This makes the estimation methodology more complex for the 2011 NHS. A two-phase sample design involves selecting a first-phase sample with data mostly collected via Internet and mail returns. The second phase consists in selecting and following up on a sub-sample of the non‑respondents from the first phase via more effective modes, i.e., telephone and in-person interviews.

Standard errors (SE) released in previous censuses were derived assuming a simple random sample without replacement. The same assumption cannot be made for the 2011 NHS, because of its more complex design.

2) It is the number of economic families or the number of households depending which total line you are looking at. For definitions of Economic Families and Households, they can refer to the Census Dictionaries for the respective years:

<http://www12.statcan.gc.ca/census-recensement/2006/ref/dict/index-eng.cfm>
<http://www12.statcan.gc.ca/census-recensement/2011/ref/dict/index-eng.cfm>

3) We do not have this available via our standard products. Your best bet would be to contact the closest regional office for a possible custom data request.