American Community Survey
Accuracy of the Data (2023)
INTRODUCTION
This document describes the accuracy of the 2023 American Community Survey (ACS) 1-year
1 The data contained in these data products are based on the sample interviewed from
estimates.0 F
January 1, 2023 through December 31, 2023.
The ACS sample is selected from all counties and county-equivalents in the United States. In
2006, the ACS began collecting data from sampled persons in group quarters (GQs) – for
example, military barracks, college dormitories, nursing homes, and correctional facilities.
Sampled persons in sample in GQs and persons in sample in housing units (HUs) are included in
all 2023 ACS estimates that are based on the total population.
The ACS, like any other sample survey, is subject to error. The purpose of this document is to
provide data users with a basic understanding of the ACS sample design, estimation
methodology, and the accuracy of the ACS data. The ACS is sponsored by the U.S. Census
Bureau, and is part of the Decennial Census Program.
For additional information on the design and methodology of the ACS, including data collection
and processing, visit: https://www.census.gov/programs-surveys/acs/methodology.html.To
access other accuracy of the data documents, including the 2023 PRCS Accuracy of the Data
document and the 2019-2023 ACS Accuracy of the Data document1 F
https://www.census.gov/programs-surveys/acs/technical-documentation/code-lists.html.
2, visit:
1 The Census Bureau has reviewed this data product to ensure appropriate access, use, and disclosure avoidance
protection of the confidential source data used to produce this product (Data Management System (DMS) number:
P-001-0000001262, Disclosure Review Board (DRB) approval number: CBDRB-FY24-0138).
2 The 2019-2023 Accuracy of the Data document will be available after the release of the 5-year products in
December 2023.
Table of Contents
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INTRODUCTION ........................................................................................................................... 1
DATA COLLECTION ................................................................................................................... 3
Housing Unit Addresses ................................................................................................................. 3
Group Quarters .............................................................................................................................. 3
SAMPLING FRAME ...................................................................................................................... 4
Housing Unit Addresses ................................................................................................................. 4
Group Quarters .............................................................................................................................. 4
SAMPLE DESIGN .......................................................................................................................... 4
Housing Units ................................................................................................................................. 4
Group Quarters .............................................................................................................................. 8
2023 Sample Sizes for Housing Unit Addresses and Group Quarters ............................................. 12
WEIGHTING METHODOLOGY ............................................................................................. 12
Group Quarters Person Weighting ............................................................................................... 13
Housing Unit and Household Person Weighting ........................................................................... 15
CONFIDENTIALITY OF THE DATA ..................................................................................... 19
Title 13, United States Code ......................................................................................................... 19
Disclosure Avoidance ................................................................................................................... 20
Data Swapping ............................................................................................................................. 20
ERRORS IN THE DATA ............................................................................................................. 20
Sampling Error ............................................................................................................................. 20
Nonsampling Error ....................................................................................................................... 20
MEASURES OF SAMPLING ERROR ..................................................................................... 21
Confidence Intervals and Margins of Error ................................................................................... 21
Limitations ................................................................................................................................... 23
CALCULATION OF STANDARD ERRORS .......................................................................... 23
Approximating Standard Errors and Margins of Error ................................................................... 24
TESTING FOR SIGNIFICANT DIFFERENCES ................................................................... 25
CONTROL OF NONSAMPLING ERROR .............................................................................. 25
Coverage Error ............................................................................................................................. 25
Nonresponse Error ....................................................................................................................... 26
Measurement and Processing Error ............................................................................................. 28
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DATA COLLECTION
Housing Unit Addresses
The ACS employs three modes of data collection:
1. Internet
2. Mailout/Mailback
3. Computer Assisted Personal Interview (CAPI)
The general timing of data collection is as follows. Note that we accept mail and internet
responses during all three months of data collection:
Month 1: Mailable addresses in sample are sent an initial mailing package, which contains
information for completing the ACS questionnaire via the internet. If a sample
address has not responded online within approximately two weeks of the initial
mailing, then a second mailing package with a paper questionnaire is sent.
Sampled addresses then have the option of which mode to use to complete the
interview.
Month 2: Continued collection via mail and internet modes.
Month 3: A sample of mailable non-responding addresses and unmailable addresses is
selected and sent to CAPI.
All remote Alaska addresses in sample are sent to CAPI and assigned to one of two data
3 Up to six months is allowed to complete
collection periods: January-June or July-December.2 F
the assigned interviews. As we do not mail to any remote Alaska addresses, CAPI is the only
data collection mode available to the respondents in these addresses.
Group Quarters
Group Quarters data collection generally spans six weeks. However, for remote Alaska and
Federal prisons, the data collection period lasts up to four months. GQs in remote Alaska are
assigned to one of two data collection periods: January-April or July-October. All Federal
prisons in sample are assigned to a September-December data collection period.
Field representatives have several options available to them for data collection. They can
complete the questionnaire with the resident either in person or over the telephone, conduct a
personal interview with a proxy, such as a relative or guardian, or leave a paper questionnaire
for residents to complete. The last option is used for data collection in Federal prisons.
3 Prior to the 2011 sample year, all remote Alaska sample cases were subsampled for CAPI at a rate of 2-in-3.
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SAMPLING FRAME
Housing Unit Addresses
The universe for the ACS consists of all valid, residential housing unit addresses in all county
and county equivalents in the 50 states, including the District of Columbia that are eligible for
data collection. Beginning with the 2018 sample, we restricted the universe of eligible
addresses further to exclude a small proportion of addresses that do not meet a set of minimum
address criteria.
The Master Address File (MAF) is a database maintained by the Census Bureau containing a
listing of residential, group quarters, and commercial addresses in the U.S. and Puerto Rico.
The MAF is updated with the results from various Census Bureau field operations, Geographic
Support System partnership files, and state or local government files. The MAF is also
normally updated twice each year with the Delivery Sequence Files (DSF) provided by the
U.S. Postal Service. These files identify mail drop points and provide the best available source
of changes and updates to the housing unit inventory.
Group Quarters
The universe of group quarters for the ACS consists of all valid GQs in all county and county
equivalents in the U.S. that are eligible for data collection. Due to operational difficulties
associated with data collection, the ACS excludes certain types of GQs from the sampling
universe and data collection operations. The weighting and estimation accounts for this
segment of the population as they are included in the population controls. The following GQ
types are those that are removed from the GQ universe:
• Soup kitchens
• Domestic violence shelters
• Regularly scheduled mobile food vans
• Targeted non-sheltered outdoor locations
• Maritime/merchant vessels
• Living quarters for victims of natural disasters
SAMPLE DESIGN
Housing Units
The ACS employs a two-phase, two-stage sample design. The first-phase sample consists of
two separate address samples: Period 1 and Period 2. These samples are chosen at different
points in time. Both samples are selected in two stages of sampling, a first-stage and a second-
stage. Subsequent to second-stage sampling, the majority of sample addresses are randomly
assigned to one of the twelve months of the sample year (the exception is for addresses in
remote Alaska, which are assigned to either January or July). The second-phase of sampling
occurs when the CAPI sample is selected.
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The Period 1 sample is selected during September and October of the year prior to the sample
year (the 2023 Period 1 sample was selected in September and October of 2022).
Approximately half of a year’s sample is selected at this time. Sample addresses that are not in
remote Alaska are randomly assigned to one of the first six months of the sample year; sample
addresses in remote Alaska are assigned to January.
Period 2 sampling occurs in January and February of the sample year (the 2023 Period 2
sample was selected during January and February of 2023). This sample accounts for the
remaining half of the overall first-phase sample. Period 2 sample addresses that are not in
remote Alaska are randomly assigned to one of the last six months of the sample year; Period 2
sample addresses in remote Alaska are assigned to July.3F
4
A sub-sample of non-responding addresses and of any addresses deemed unmailable is selected
for the CAPI data collection mode.4F
5
The following steps are used to select the first-phase and second-phase samples in both
periods.
First-Phase Housing Unit Sample Selection
First-Stage Sampling for Housing Units
First stage sampling defines the universe for the second stage of sampling through three
steps. First, all addresses that were in a first-phase sample within the past four years are
excluded from eligibility. This ensures that no address is in sample more than once in
any five-year period. The second step is to select a 20 percent systematic sample of
“new” units, i.e. those units that have never appeared on a previous MAF extract within
each county. Each new address is systematically assigned either to the current year or to
one of the four back-samples. This procedure maintains five relatively equal partitions
(samples) of the universe. The third step is to randomly assign all eligible addresses to a
period.5 F
6
4 Remote Alaska assignments are made so that the sample addresses are approximately evenly distributed between
the two data collection periods.
5 Beginning with the August, 2011 CAPI sample all non-mailable and non-responding addresses in the following
areas are now sent to CAPI: all Hawaiian Homelands, all Alaska Native Village Statistical areas, American
Indian areas with an estimated proportion of American Indian population ≥ 10%.
6 Most of the period assignments are made during Period 1 sampling. The only assignments in Period 2 sampling
are made for addresses that were not part of the process in Period 1, e.g., new addresses.
Assignment of Blocks to a Second-Stage Sampling Stratum for Housing Units
Second-stage sampling uses 16 sampling strata in the U.S.6 F
in second-stage sampling account for the first-stage selection probabilities. These rates
are applied at a block level to addresses in the U.S. by calculating a measure of size for
each of the following geographic entities:
7 The stratum-level rates used
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• Counties
• Places
• School Districts (elementary, secondary, and unified)
• American Indian Areas
• Tribal Subdivisions
• Alaska Native Village Statistical Areas
• Hawaiian Homelands
• Minor Civil Divisions – in Connecticut, Maine, Massachusetts, Michigan,
Minnesota, New Hampshire, New Jersey, New York, Pennsylvania, Rhode
Island, Vermont, and Wisconsin 7F
8 (the ‘strong” MCD states)
• Census Designated Places – in Hawaii only
The measure of size for all areas except American Indian Areas, Tribal Subdivisions,
Alaska Native Village Statistical Areas, and Hawaiian Homelands is an estimate of the
number of occupied HUs in the area. This is calculated by multiplying the number of
ACS valid addresses by an estimate of the occupancy rate at the block level derived from
the most recent Census. A measure of size for each Census Tract is also calculated in the
same manner.
For American Indian Areas, Tribal Subdivisions, and Alaska Native Village Statistical
Areas, the measure of size is the estimated number of occupied HUs multiplied by the
proportion of people reporting American Indian or Alaska Native (alone or in
combination) in the most recent Census.
For Hawaiian Homelands, the measure of size is the estimated number of occupied HUs
multiplied by the proportion of people reporting Native Hawaiian (alone or in
combination) in the most recent Census.
Each block is then assigned the smallest positive, measure of size from the set of all
entities of which it is a part. The 2023 second-stage sampling strata and the overall first-
phase sampling rates by Period are shown in Table 1 below.
7 Beginning with the 2011 sample the ACS implemented a change to the stratification, increasing the number of
sampling strata and changing how the sampling rates are defined. Prior to 2011 there were seven strata; there are
now 16 sampling strata. Table 1 gives a summary of these strata and the rates.
8 These are the states where MCDs are active, functioning governmental units.
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Calculation of the Second-Stage Sampling Rates for Housing Units
The overall first-phase sampling rates are calculated using the distribution of ACS valid,
eligible addresses by second-stage sampling stratum in such a way as to yield an overall
target sample size for the year of 3,540,000 (1,770,000 for each period) in the U.S. The
first-phase rates are adjusted for the first-stage sample to yield the second-stage selection
probabilities. Note: Since the universe grows over time, the sampling rates must be
adjusted accordingly to meet our pre-designated overall sample size.
Table 1. First-phase Sampling Rate Categories for the United States
Sampling
Stratum #
Type of Area
Rate Definitions
0 < MOS1 < 200
200 ≤ MOS < 400
400 ≤ MOS < 800
800 ≤ MOS < 1200
1200 ≤ MOS and 0 < TRACTMOS2 ≤ 400
1200 ≤ MOS and 0 < TRACTMOS ≤ 400 HR3
1200 ≤ MOS and 400 < TRACTMOS ≤ 1000
1200 ≤ MOS and 400 < TRACTMOS ≤ 1000 HR
1200 ≤ MOS and 1000 < TRACTMOS ≤ 2000
1200 ≤ MOS and 1000 < TRACTMOS ≤ 2000 HR
1200 ≤ MOS and 2000 < TRACTMOS ≤ 4000
1200 ≤ MOS and 2000 < TRACTMOS ≤ 4000 HR
1200 ≤ MOS and 4000 < TRACTMOS ≤ 6000
1200 ≤ MOS and 4000 < TRACTMOS ≤ 6000 HR
1200 ≤ MOS and 6000 < TRACTMOS
1200 ≤ MOS and 6000 < TRACTMOS HR
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1MOS = measure of size (estimated number occupied housing units) of the smallest governmental entity
2TRACTMOS = the measure of size (MOS) at the Census Tract level
3HR = areas where predicted levels of completed mail interviews are > 60%
4BR = base sampling rate
15.00%
10.00%
7.00%
2.80 × BR
3.50 × BR
0.92 × 3.50 × BR
2.80 × BR
0.92 × 2.80 × BR
1.70 × BR
0.92 × 1.70 × BR
BR4
0.92 × BR
0.60 × BR
0.92 × 0.60 × BR
0.35 × BR
0.92 × 0.35 × BR
2023
Sampling
Rates
Period 1
15.00%
10.00%
7.00%
3.92%
4.90%
4.51%
3.92%
3.61%
2.38%
2.19%
1.40%
1.29%
0.84%
0.77%
0.49%
0.45%
2023
Sampling
Rates
Period 2
15.00%
10.00%
7.00%
3.91%
4.89%
4.50%
3.91%
3.60%
2.37%
2.18%
1.40%
1.28%
0.84%
0.77%
0.49%
0.45%
Second-Stage Sample Selection for Housing Units
After each block is assigned to a second-stage sampling stratum in each period, a
systematic sample of addresses is selected from the second-stage universe (first-stage
sample) within each county and county equivalent.
Sample Month Assignment for Housing Units
After the second stage of sampling, addresses selected during Period 1 sampling that are
not in remote Alaska are randomly assigned to one of the first six months of the sample
year. Sample addresses selected during Period 2 sampling that are not in remote Alaska
are randomly assigned to a month from July through December, inclusive. Sample
addresses in remote Alaska are assigned to the January or July panel in Period 1 and
Period 2 sampling, respectively.
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Second-Phase Housing Unit Sample Selection – CAPI Subsampling
The addresses from which CAPI sub-samples are selected can be divided into two groups.
One group includes addresses that are not eligible for any other data collection operation –
these consist of unmailable addresses and those in remote Alaska areas. The second group
includes addresses that are eligible for the other data collection operations but for which no
response was obtained prior to CAPI sub-sampling – these consist of mailable addresses not
in remote Alaska.
All sample addresses in remote Alaska are sent to the CAPI data collection operation. Most
unmailable addresses are selected for CAPI at a rate of 2-in-3 – the exception is when they
are in a Hawaiian Homeland area (HH), Alaska Native Village Statistical area (ANVSA), or
pre-determined American Indian areas (AI), where all are selected for CAPI with certainty.
With one exception, mailable addresses from which a response was not obtained by the time
of the CAPI operation are sampled at rates of 1-in-2, 2-in-5, and 1-in-3 – these rates are set at
the tract level. The exception is for addresses in HH, ANVSA, and AI areas, where all are
selected for CAPI. Table 2 shows the CAPI sub-sampling rates that are associated with each
group of addresses a prori.
Table 2. Second-Phase (CAPI) Subsampling Rates for the United States
Address and Tract Characteristics
Addresses in Remote Alaska*
Addresses in Hawaiian Homelands, Alaska Native Village Statistical areas and a subset
of American Indian areas*
Unmailable addresses that are not in the previous two categories
Mailable addresses in tracts with predicted levels of completed mail interviews prior to
CAPI subsampling between 0% and 35%, inclusive
Mailable addresses in tracts with predicted levels of completed mail interviews prior to
CAPI subsampling greater than 35% and less than or equal to 50%
Mailable addresses in all other tracts
*The full CAPI follow-up procedure for these two categories began in 2011.
CAPI Subsampling
Rate
Take all (100.0%)
Take all (100.0%)
66.7%
50.0%
40.0%
33.3%
Group Quarters
The 2023 group quarters (GQ) sampling frame was divided into two strata: a small GQ stratum
and a large GQ stratum. Small GQs are defined to have expected populations of fifteen or
fewer residents, while large GQs have expected populations of more than fifteen residents.
Samples were selected in two phases within each stratum. In general, GQs were selected in the
first phase and then persons/residents were selected in the second phase. Both phases differ
between the two strata. GQs were assigned to one or more months in 2023 – it was in these
months that their person samples were selected. See the Group Quarter Sample Month
Assignment Method section below.
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Small GQ Stratum
First Phase of Sample Selection for Small GQs
There are two stages of selecting small GQs for sample.
1.
First stage
The small GQ universe is divided into five groups that are approximately equal
in size, similar to what is done during the HU address sampling. All new small
GQs are systematically assigned to one of these five groups on a yearly basis,
with about the same probability (20 percent) of being assigned to any given
group. Each group represents a second-stage sampling frame, from which GQs
are selected once every five years. The 2023 second-stage sampling frame was
used in 2018 as well, and is currently to be used in 2028, 2033, etc.
2. Second stage
GQs were systematically selected from the 2023 second-stage sampling frame.
Each GQ within a given state had the same second-stage probability of being
selected, where the probabilities vary between states.
Second Phase of Sample Selection for Small GQs
Persons were selected for sample from each GQ that was selected for sample in the first
phase of sample selection. If fifteen or fewer persons were residing at a GQ at the time a
field representative (interviewer) visited the GQ, then all persons were selected for
sample. Otherwise, if more than fifteen persons were residing at the GQ, then the
instrument selected a systematic sample of ten persons from the GQ’s roster.
Target Sampling Rate (Probability of Selection) for Small GQs
The target state-level sampling rates are the overall probabilities of selecting any given
person in a GQ in a given state; it is around these probabilities that the sample design is
based. These probabilities, shown in Table 3, reflect both phases of sample selection.
The sample was designed so that the second-phase sampling rate would be one-hundred
percent for small GQs (i.e., select the entire expected population of fifteen or fewer
persons for sample in every small sampled GQ). This means the probability of selecting
any person in a small GQ was designed to equal the probability of selecting the small GQ
itself.
Table 3. 2023 Group Quarter State Target Sampling Rates for the U.S.
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Target
Rate
State
Target
Rate
State
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
District of
Columbia
Florida
Georgia
Hawaii
Idaho
Illinois
Indiana
Iowa
Kansas
Target
Rate
1.26%
2.93%
1.82%
2.00%
2.32%
1.82%
2.43%
5.18%
2.96%
2.05%
2.34%
3.20%
2.28%
2.57%
2.36%
2.19%
2.35%
State
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
2.35%
2.40%
2.78%
2.54%
2.14%
2.67%
2.38%
2.29%
2.20%
3.45%
2.45%
3.61%
2.66%
North Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Rhode Island
South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont
Virginia
2.84% Washington
2.79% West Virginia
2.20% Wisconsin
4.01%
2.45%
2.29%
2.35%
2.69%
2.42%
1.99%
3.69%
2.33%
2.10%
1.89%
4.54%
2.44%
1.90%
2.18%
2.26%
7.12%
North Carolina
2.03% Wyoming
Large GQ Stratum
First phase of Sample Selection for Large GQs
All large GQs were eligible to be sampled in 2023, as has been the case every year since
the inception of the GQ sampling in 2006. This means there was only a single stage of
sampling in this phase. This stage consists of systematically assigning “hits” to GQs
independently in each state, where each hit represents ten persons to be sampled.
In general, a GQ has either Z or Z+1 hits assigned to it. The value for Z is dependent on
both the GQ’s expected population size and its within-state target sampling rate, shown in
Table 3. When this rate is multiplied by a GQ’s expected population, the result is a GQ’s
expected person sample size. If a GQ’s expected person sample size is less than ten, then
Z = 0; if it is at least ten but less than twenty, then Z = 1; if it is at least twenty but less
than thirty, then Z = 2; and so on. See below for a detailed example.
If a GQ has an expected person sample size that is less than ten, then this method
effectively gives the GQ a probability of selection that is proportional to its size; this
probability is the expected person sample size divided by ten. If a GQ has an expected
person sample size of ten or more, then it is in sample with certainty and is assigned one
or more hits.
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Second Phase of Sample Selection for Large GQs
Persons were selected within each GQ to which one or more hits were assigned in the
first phase of selection. There were ten persons selected at a GQ for every hit assigned to
the GQ. The persons were systematically sampled from a roster of persons residing at the
GQ at the time of an interviewer’s visit. The exception was if there were far fewer
persons residing in a GQ than expected – in these situations, the number of persons to
sample at the GQ would be reduced to reflect the GQ’s actual population. In cases where
fewer than ten persons resided in a GQ at the time of a visit, the interviewer would select
all of the persons for sample.
Target Sampling Rate (Probability of Selection) for Large GQs
As for small GQs, the target state-level sampling rates are the probabilities of selecting
any given person in a GQ in a given state. This probability reflects both phases of sample
selection. The target sampling rate for each state in 2023 are shown in Table 3. Note that
these rates are the same as for persons in small GQs.
As an example, suppose a GQ in a state had an expected population of 250, and the target
sampling rate in the state was 2.29%, meaning any given person in a GQ in the state had
about a 1-in-43⅔ chance of being selected. This rate, combined with the GQs expected
population of 250, means that the expected number of persons selected for sample in this
GQ would be 5.725 (2.29% × 250). Since this is less than ten, this GQ would have either
0 or 1 hits assigned to it (Z = 0). The probability of it being assigned a hit would be the
GQ’s expected person sample size of 5.725 divided by 10, or 57.25%.
As a second example, suppose a GQ in another state had an expected population of 1,000
and the target sampling rate in the state was 4.30%; this means any given person in a GQ
in this state had about a 1-in-23.26 chance of being selected. This rate, combined with
the GQ’s expected population of 1,000, means that the expected number of persons
selected for sample in the GQ would be 43 (4.30% × 1,000); this GQ would be assigned
either four or five hits (Z = 4).
Group Quarters Sample Month Assignment
All small sample GQs and large sample GQ hits were assigned to a month in which to be
interviewed (interview months) – these were the months in which interviewers would visit a
GQ to select a person sample and conduct interviews. All small GQs, all large GQs that
were assigned only one hit, all remote Alaska GQs, all sampled military facilities, and all
sampled correctional facilities (regardless of how many hits a military or correctional facility
was assigned) were assigned to a single interview month. Remote Alaska GQs were
assigned to either January or July; Federal prisons were assigned to September; all of the
others were randomly assigned one interview month. Most small GQs and large GQ hits,
that were neither in remote Alaska nor a federal prison, could be assigned to any of the
twelve months of the sample year. The exceptions were for college dormitories, whose hits
were randomly assigned to non-summer months only, i.e., January through April and
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September through December; and for military ships, whose hits were randomly assigned to
only the last ten months of the year, i.e., March through December.
Large sample GQs with multiple hits, but that were not in any of the categories above, had
their hits randomly assigned to an interview month. Hits in each GQ were assigned to
different interview months, e.g., a GQ with four hits might have had its hits assigned to
January, April, June, and December. If either a college dormitory had more than eight
assigned hits, a military ship had more than ten assigned hits, or any other large GQ had
more than twelve assigned hits, then the randomization process of assigning hits to interview
months would repeat itself for the excess hits. For example, if a GQ had fifteen hits
assigned to it, and it was neither a college dormitory nor a military ship, then there would be
three interview months in which two hits were assigned and nine interview months in which
one hit was assigned.
Bureau of Prison Group Quarters
Prior to 2016, all GQs were sampled at the same time for a given year. Starting in 2016,
Bureau of Prison GQs (Federal prisons) started to be sampled separately from other GQs.
They are sampled using the same procedure described above, and are all assigned to the
September interview month as before. The one exception is that we receive a complete roster
of names from the Bureau of Prisons, and in this way, we are able to select the sample
persons at headquarters.
2023 Sample Sizes for Housing Unit Addresses and Group Quarters
Counts of sample addresses and GQ persons can be found in two locations on the US Census
Bureau website. On data.census.gov, base tables B98001 and B98002 provide sample size
counts for the nation, states, and counties. Sample size counts for the nation and states are also
available in the Sample Size and Data Quality Section of the ACS website, at
https://www.census.gov/acs/www/methodology/sample-size-and-data-quality/.
WEIGHTING METHODOLOGY
The estimates that appear in this product are obtained from a raking ratio estimation procedure
that results in the assignment of two sets of weights: a weight to each sample person record and a
weight to each sample housing unit record. Estimates of person characteristics are based on the
person weight. Estimates of family, household, and housing unit characteristics are based on the
housing unit weight. For any given tabulation area, a characteristic total is estimated by
summing the weights assigned to the persons, households, families or housing units possessing
the characteristic in the tabulation area. Each sample person or housing unit record is assigned
exactly one weight to be used to produce estimates of all characteristics. For example, if the
weight given to a sample person or housing unit has a value 40, all characteristics of that person
or housing unit are tabulated with the weight of 40.
The weighting is conducted in two main operations: a group quarters person weighting operation
which assigns weights to persons in group quarters, and a household person weighting operation
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which assigns weights both to housing units and to persons within housing units. The group
quarters person weighting is conducted first and the household person weighting second. The
household person weighting is dependent on the group quarters person weighting because
estimates for total population, which include both group quarters and household population, are
controlled to the Census Bureau’s official 2023 total resident population estimates.
Group Quarters Person Weighting
Starting with the weighting for the 2011 1-year ACS estimates, the group quarters (GQ) person
weighting changed in important ways from previous years’ weighting. The GQ population
sample was supplemented by a large-scale whole person imputation into not-in-sample GQ
facilities. For the 2023 ACS GQ data, roughly 1.1 as many GQ persons were imputed as
interviewed. The goal of the imputation methodology was two-fold.
1. The primary objective was to establish representation of county by major GQ type group
in the tabulations for each combination that exists on the ACS GQ sample frame. The
seven major GQ type groups are defined by the Population Estimates Program and are
given in Table 4.
2. A secondary objective was to establish representation of tract by major GQ type group
for each combination that exists on the ACS GQ sample frame.
Table 4: Population Estimates Program Major GQ Type Groups
Major GQ Type Group
Definition
1
2
3
4
5
6
7
Correctional Institutions
Juvenile Detention Facilities
Nursing Homes
Other Long-Term Care Facilities
College Dormitories
Military Facilities
Other Non-Institutional Facilities
Institutional /
Non-Institutional
Institutional
Institutional
Institutional
Institutional
Non-Institutional
Non-Institutional
Non-Institutional
The GQ sampling frame was modified to create an imputation frame from which all imputed
GQs were selected from. The frame was updated with the actual populations and GQ type
changes from ACS interviews, as well as any subsequent information gathered in other
processes since the sampling frame was initially created. The change in populations for ACS
GQ interviews was used to calculate a not-in-sample adjustment factor that was used to update
the population for all GQs on the frame not selected for sample. This adjustment factor was
calculated at the following level:
State × GQ Major Type × GQ Size Stratum
There were three size strata used for this process: GQs in sample with certainty, GQs with 16
or more persons, and GQs with less than 16 persons.
P a g e | 14
For all not-in-sample GQ facilities with an expected population of 16 or more persons (large
facilities), we imputed a number of GQ persons equal to 2.5% of the expected population. For
those GQ facilities with an expected population of fewer than 16 persons (small facilities), we
selected a random sample of GQ facilities as needed to accomplish the two objectives given
above. For those selected small GQ facilities, we imputed a number of GQ persons equal to
20% of the facility’s expected population.
Interviewed GQ person records were then sampled at random to be donors for the imputed
persons of the selected not-in-sample GQ facilities. An expanding search algorithm searched
for donors within the same specific type of GQ facility and the same county. If that failed, the
search included all GQ facilities of the same major GQ type group. If that still failed, the
search expanded to a specific type within state, then a major GQ type group within state. This
expanding search continued through division, region, and the entire nation until suitable donors
were found.
The weighting procedure made no distinction between sampled and imputed GQ person
records. The initial weights of person records in the large GQ facilities equaled the observed
or expected population of the GQ facility divided by the number of person records. The initial
weights of person records in small GQ facilities equaled the observed or expected population
of the GQ facility divided by the number of records, multiplied by the inverse of the fraction of
small GQ facilities represented in the weighting to the number on the frame of that tract by
major GQ type group combination.
The population totals on the imputation frame are used to ensure that the sub-state distribution
of GQ weighting preserves the distribution from the frame. This is accomplished through a
series of three constraints:
1. Tract Constraint (TRCON) – This factor makes the total weight within each tract by
major type group equal the total population from the imputation frame.
2. County Constraint (CYCON) – This factor makes the total weight within each county by
major type group equal the total population from the imputation frame.
3. State Constraint (STCON) – This factor makes the total weight within each state by major
type group equal the total population from the imputation frame.
As was done in previous years’ weighting, we controlled the final weights to an independent
set of GQ population estimates produced by the Population Estimates Program for each state
by each of the seven major GQ type groups.
Lastly, the final GQ person weight was rounded to an integer. Rounding was performed so
that the sum of the rounded weights were within one person of the sum of the unrounded
weights for any of the groups listed below:
Major GQ Type Group
Major GQ Type Group × County
P a g e | 15
Housing Unit and Household Person Weighting
The housing unit and household person weighting uses two types of geographic areas for
adjustments: weighting areas and subcounty areas. Weighting areas are county-based and have
been used since the first year of the ACS. Subcounty areas are based on incorporated place
and minor civil divisions (MCD). Their use was introduced into the ACS in 2010.
Weighting areas were built from collections of whole counties. 2010 Census data and 2007-
2011 ACS 5-year data were used to group counties of similar demographic and social
characteristics. The characteristics considered in the formation included:
• Percent in poverty (the only characteristic using ACS 5-year data)
• Percent renting
• Density of housing units (a proxy for rural areas)
• Race, ethnicity, age, and sex distribution
• Distance between the centroids of the counties
• Core-based Statistical Area status
Each weighting area was also required to meet a threshold of 400 expected person interviews
in the 2011 ACS. The process also tried to preserve as many counties that meet the threshold
to form their own weighting areas. In total, there are 2,130 weighting areas formed from the
3,147 counties and county equivalents.
Subcounty areas are built from incorporated places and MCDs, with MCDs only being used in
the 20 states where MCDs serve as functioning governmental units. Each subcounty area
formed has a total population of at least 24,000, as determined by the July 1, 2023 Population
Estimates data, which are based on the 2020 Census estimates of the population on April 1,
2020, updated using births, deaths, and migration. The subcounty areas can be incorporated
places, MCDs, place/MCD intersections (in counties where places and MCDs are not
coexistent), ‘balance of MCD,’ and ‘balance of county.’ The latter two types group together
unincorporated areas and places/MCDs that do not meet the population threshold. If two or
more subcounty areas cannot be formed within a county, then the entire county is treated as a
single area. Thus, all counties whose total population is less than 48,000 will be treated as a
single area since it is not possible to form two areas that satisfy the minimum size threshold.
The estimation procedure used to assign the weights is then performed independently within
each of the ACS weighting areas.
Initial Housing Unit Weighting Factors
This process produced the following factors:
Base Weight (BW)
This initial weight is assigned to every housing unit as the inverse of its block’s sampling
rate.
P a g e | 16
CAPI Subsampling Factor (SSF)
The weights of the CAPI selected cases are adjusted to reflect the results of CAPI
subsampling. This factor is assigned to each record as follows:
Completed survey prior to CAPI subsampling: SSF = 1.0
Selected in CAPI subsampling: SSF = 2.0, 2.5, or 3.0 according to Table 2
Not selected in CAPI subsampling but completed survey: SSF = 1.0
Not selected in CAPI subsampling: SSF = 0.0
Some sample addresses are unmailable. A two-thirds sample of these is sent directly to
CAPI and for these cases SSF = 1.5.
Sample addresses in Remote Alaska, Hawaiian Homelands, Alaska Native Village
Statistical areas and a subset of American Indian areas are selected for CAPI at 100%
sampling rate and for these cases SSF = 1.0.
CAPI Subsampling Correction Factor (SSFCORR)
The weights of the CAPI selected cases are adjusted to reflect the possibility that those
records that were eligible for CAPI but not selected can still return an interview.
This factor makes total weight of the CAPI selected and CAPI not selected records equal
to the total base weight of the CAPI subsampling eligible records. For all cases,
SSFCORR is computed based on the following groups:
Weighting Area × Interview Type (Occupied or not occupied)
Not occupied include vacant response, non-interviews, and deleted interviews.
SSFCORR is set equal to 1.0 for unmailable records, HH, ANVSA, or AI areas.
Variation in Monthly Response by Mode (VMS)
This factor makes the total weight of the Mail and CAPI records to be tabulated in a
month equal to the total base weight of all cases originally mailed for that month. For all
cases, VMS is computed and assigned based on the following groups:
Weighting Area × Month
Noninterview Factor (NIF)
This factor adjusts the weight of all responding occupied housing units to account for
nonresponding housing units. The factor is a ratio adjustment that is computed and
assigned to occupied housings units based on the following groups:
Weighting Area × Building Type (single or multi unit) × Tract
P a g e | 17
Vacant housing units are assigned a value of NIF = 1.0. Nonresponding housing units are
assigned a weight of 0.0.
Housing Unit Post-Stratification Factor (HPF)
This factor makes the total weight of all housing units agree with the 2023 independent
housing unit estimates at the subcounty level.
Person Weighting Factors
Initially the person weight of each person in an occupied housing unit is the product of the
weighting factors of their associated housing unit (BW × … × HPF). At this point, everyone
in the household has the same weight. The person weighting is done in a series of three
steps, which are repeated until a stopping criterion is met. These three steps form a raking
ratio or raking process. These person weights are individually adjusted for each person as
described below.
The three steps are as follows:
Subcounty Area Controls Raking Factor (SUBEQRF)
This factor is applied to individuals based on their geography. It adjusts the person
weights so that the weighted sample counts equal independent population estimates of
total population for the subcounty area. Because of later adjustment to the person
weights, total population is not assured of agreeing exactly with the official 2023
population estimates at the subcounty level.
Spouse Equalization/Householder Equalization Raking Factor (SPHHEQRF)
This factor is applied to individuals based on the combination of their status of being in a
married-couple or unmarried-partner household and whether they are the householder.
All persons are assigned to one of four groups:
1. Householder in a married-couple or unmarried-partner household
2. Spouse or unmarried partner in a married-couple or unmarried-partner household
(non-householder)
3. Other householder
4. Other non-householder
The weights of persons in the first two groups are adjusted so that their sums are each
equal to the total estimate of married-couple or unmarried-partner households using the
housing unit weight (BW × … × HPF). At the same time, the weights of persons in the
first and third groups are adjusted so that their sum is equal to the total estimate of
occupied housing units using the housing unit weight (BW × … × HPF). The goal of this
step is to produce more consistent estimates of spouses or unmarried partners and
married-couple and unmarried-partner households while simultaneously producing more
consistent estimates of householders, occupied housing units, and households.
P a g e | 18
Demographic Raking Factor (DEMORF)
This factor is applied to individuals based on their age, race, sex and Hispanic origin. It
adjusts the person weights so that the weighted sample counts equal independent
population estimates by age, race, sex, and Hispanic origin at the weighting area.
Because of collapsing of groups in applying this factor, only total population is assured of
agreeing with the official 2023 population estimates at the weighting area level.
This uses the following groups (note that there are 13 Age groupings):
Weighting Area × Race / Ethnicity (non-Hispanic White, non-Hispanic Black, non-
Hispanic American Indian or Alaskan Native, non-Hispanic Asian, non-Hispanic Native
Hawaiian or Pacific Islander, and Hispanic (any race)) × Sex × Age Groups.
These three steps are repeated several times until the estimates at the national level
achieve their optimal consistency with regard to the spouse and householder equalization.
The Person Post-Stratification Factor (PPSF) is then equal to the product
(SUBEQRF × SPHHEQRF × DEMORF) from all of iterations of these three adjustments.
The unrounded person weight is then the equal to the product of PPSF times the housing
unit weight (BW × … × HPF × PPSF).
Rounding
The final product of all person weights (BW × … × HPF × PPSF) is rounded to an
integer.
Rounding is performed so that the sum of the rounded weights is within one person of the
sum of the unrounded weights for any of the groups listed below:
County
County × Race
County × Race × Hispanic Origin
County × Race × Hispanic Origin × Sex
County × Race × Hispanic Origin × Sex × Age
County × Race × Hispanic Origin × Sex × Age × Tract
County × Race × Hispanic Origin × Sex × Age × Tract × Block
For example, the number of White, Hispanic, Males, Age 30 estimated for a county using
the rounded weights is within one of the number produced using the unrounded weights.
P a g e | 19
Final Housing Unit Weighting Factors
This process produces the following factors:
Householder Factor (HHF)
This factor adjusts for differential response depending on the race, Hispanic origin, sex,
and age of the householder. The value of HHF for an occupied housing unit is the PPSF
of the householder. Since there is no householder for vacant units, the value of HHF =
1.0 for all vacant units.
Rounding
The final product of all housing unit weights (BW × … × HHF) is rounded to an integer.
For occupied units, the rounded housing unit weight is the same as the rounded person
weight of the householder. This ensures that both the rounded and unrounded
householder weights are equal to the occupied housing unit weight. The rounding for
vacant housing units is then performed so that total rounded weight is within one housing
unit of the total unrounded weight for any of the groups listed below:
County
County × Tract
County × Tract × Block
CONFIDENTIALITY OF THE DATA
The Census Bureau has modified or suppressed some data on this site to protect confidentiality.
Title 13 United States Code, Section 9, prohibits the Census Bureau from publishing results in
which an individual's data can be identified.
The Census Bureau’s internal Disclosure Review Board sets the confidentiality rules for all data
releases. A checklist approach is used to ensure that all potential risks to the confidentiality of
the data are considered and addressed.
Title 13, United States Code
Title 13 of the United States Code authorizes the Census Bureau to conduct censuses and
surveys. Section 9 of the same Title requires that any information collected from the public
under the authority of Title 13 be maintained as confidential. Section 214 of Title 13 and
Sections 3559 and 3571 of Title 18 of the United States Code provide for the imposition of
penalties of up to five years in prison and up to $250,000 in fines for wrongful disclosure of
confidential census information.
P a g e | 20
Disclosure Avoidance
Disclosure avoidance is the process for protecting the confidentiality of data. A disclosure of
data occurs when someone can use published statistical information to identify an individual
who has provided information under a pledge of confidentiality. For data tabulations, the
Census Bureau uses disclosure avoidance procedures to modify or remove the characteristics
that put confidential information at risk for disclosure. Although it may appear that a table
shows information about a specific individual, the Census Bureau has taken steps to disguise or
suppress the original data while making sure the results are still useful. The techniques used by
the Census Bureau to protect confidentiality in tabulations vary, depending on the type of data.
Data Swapping
Data swapping is a method of disclosure avoidance designed to protect confidentiality in tables
of frequency data (the number or percent of the population with certain characteristics). Data
swapping is done by editing the source data or exchanging records for a sample of cases when
creating a table. A sample of households is selected and matched on a set of selected key
variables with households in neighboring geographic areas that have similar characteristics
(such as the same number of adults and same number of children). Because the swap often
occurs within a neighboring area, there is no effect on the marginal totals for the area or for
totals that include data from multiple areas. Because of data swapping, users should not
assume that tables with cells having a value of one or two reveal information about specific
individuals. Data swapping procedures were first used in the 1990 Census, and were used
again in Census 2000 and the 2010 Census.
ERRORS IN THE DATA
Sampling Error
The data in ACS products are estimates of the actual figures that would be obtained by
interviewing the entire population. The estimates are a result of the chosen sample, and are
subject to sample-to-sample variation. Sampling error in data arises due to the use of
probability sampling, which is necessary to ensure the integrity and representativeness of
sample survey results. The implementation of statistical sampling procedures provides the
basis for the statistical analysis of sample data. Measures used to estimate the sampling error
are provided in the next section.
Nonsampling Error
Other types of errors might be introduced during any of the various complex operations used to
collect and process survey data. For example, data entry from questionnaires and editing may
introduce error into the estimates. Another potential source of error is the use of controls in the
weighting. These controls are based on Population Estimates and are designed to reduce
variance and mitigate the effects of systematic undercoverage of groups who are difficult to
enumerate. However, if the extrapolation methods used in generating the Population Estimates
do not properly reflect the population, error can be introduced into the data. This potential risk
P a g e | 21
is offset by the many benefits the controls provide to the ACS estimates, which include the
reduction of issues with survey coverage and the reduction of standard errors of ACS
estimates. These and other sources of error contribute to the nonsampling error component of
the total error of survey estimates.
Nonsampling errors may affect the data in two ways. Errors that are introduced randomly
increase the variability of the data. Systematic errors, or errors that consistently skew the data
in one direction, introduce bias into the results of a sample survey. The Census Bureau
protects against the effect of systematic errors on survey estimates by conducting extensive
research and evaluation programs on sampling techniques, questionnaire design, and data
collection and processing procedures.
An important goal of the ACS is to minimize the amount of nonsampling error introduced
through nonresponse for sample housing units. One way of accomplishing this is by following
up on mail nonrespondents during the CAPI phase. For more information, please see the
section entitled “Control of Nonsampling Error”.
MEASURES OF SAMPLING ERROR
Sampling error is the difference between an estimate based on a sample and the corresponding
value that would be obtained if the entire population were surveyed (as for a census). Note that
sample-based estimates will vary depending on the particular sample selected from the
population. Measures of the magnitude of sampling error reflect the variation in the estimates
over all possible samples that could have been selected from the population using the same
sampling methodology.
Estimates of the magnitude of sampling errors – in the form of margins of error – are provided
with all published ACS data. The Census Bureau recommends that data users incorporate
margins of error into their analyses, as sampling error in survey estimates could impact the
conclusions drawn from the results.
Confidence Intervals and Margins of Error
Confidence Intervals
A sample estimate and its estimated standard error may be used to construct confidence
intervals about the estimate. These intervals are ranges that will contain the average value of
the estimated characteristic that results over all possible samples, with a known probability.
For example, if all possible samples that could result under the ACS sample design were
independently selected and surveyed under the same conditions, and if the estimate and its
estimated standard error were calculated for each of these samples, then:
P a g e | 22
1. Approximately 68 percent of the intervals from one estimated standard error below
the estimate to one estimated standard error above the estimate would contain the
average result from all possible samples.
2. Approximately 90 percent of the intervals from 1.645 times the estimated standard
error below the estimate to 1.645 times the estimated standard error above the
estimate would contain the average result from all possible samples.
3. Approximately 95 percent of the intervals from two estimated standard errors below
the estimate to two estimated standard errors above the estimate would contain the
average result from all possible samples.
The intervals are referred to as 68 percent, 90 percent, and 95 percent confidence intervals,
respectively.
Margins of Error
In lieu of providing upper and lower confidence bounds in published ACS tables, the margin
of error is listed. All ACS published margins of error are based on a 90 percent confidence
level. The margin of error is the difference between an estimate and its upper or lower
confidence bound. Both the confidence bounds and the standard error can easily be
computed from the margin of error:
Standard Error = Margin of Error / 1.645
Lower Confidence Bound = Estimate - Margin of Error
Upper Confidence Bound = Estimate + Margin of Error
Note that for 2005 and earlier estimates, ACS margins of error and confidence bounds were
calculated using a 90 percent confidence level multiplier of 1.65. Starting with the 2006 data
release, and for every year after 2006, the more accurate multiplier of 1.645 is used. Margins
of error and confidence bounds from previously published products will not be updated with
the new multiplier. When calculating standard errors from margins of error or confidence
bounds using published data for 2005 and earlier, use the 1.65 multiplier.
When constructing confidence bounds from the margin of error, users should be aware of any
“natural” limits on the bounds. For example, if a characteristic estimate for the population is
near zero, the calculated value of the lower confidence bound may be negative. However, as
a negative number of people does not make sense, the lower confidence bound should be
reported as zero. For other estimates such as income, negative values can make sense; in
these cases, the lower bound should not be adjusted. The context and meaning of the
estimate must therefore be kept in mind when creating these bounds. Another example of a
natural limit is 100 percent as the upper bound of a percent estimate.
If the margin of error is displayed as ‘*****’ (five asterisks), the estimate has been controlled
to be equal to a fixed value and so it has no sampling error. A standard error of zero should
be used for these controlled estimates when completing calculations, such as those in the
following section.
P a g e | 23
Limitations
Users should be careful when computing and interpreting confidence intervals.
Nonsampling Error
The estimated standard errors (and thus margins of error) included in these data products do
not account for variability due to nonsampling error that may be present in the data. In
particular, the standard errors do not reflect the effect of correlated errors introduced by
interviewers, coders, or other field or processing personnel or the effect of imputed values
due to missing responses. The standard errors calculated are only lower bounds of the total
error. As a result, confidence intervals formed using these estimated standard errors may not
meet the stated levels of confidence (i.e., 68, 90, or 95 percent). Some care must be
exercised in the interpretation of the data based on the estimated standard errors.
Very Small (Zero) or Very Large Estimates
By definition, the value of almost all ACS characteristics is greater than or equal to zero.
The method provided above for calculating confidence intervals relies on large sample
theory, and may result in negative values for zero or small estimates for which negative
values are not admissible. In this case, the lower limit of the confidence interval should be
set to zero by default. A similar caution holds for estimates of totals close to a control total
or estimated proportion near one, where the upper limit of the confidence interval is set to its
largest admissible value. In these situations, the level of confidence of the adjusted range of
values is less than the prescribed confidence level.
CALCULATION OF STANDARD ERRORS
Direct estimates of margin of error were calculated for all estimates reported. The margin of
error is derived from the variance. In most cases, the variance is calculated using a replicate-
based methodology known as successive difference replication (SDR) that takes into account the
sample design and estimation procedures.
The SDR formula as well as additional information on the formation of the replicate weights, see
Chapter 12 of the Design and Methodology documentation at:
https://www.census.gov/programs-surveys/acs/methodology/design-and-methodology.html.
P a g e | 24
Beginning with the 2011 ACS 1-year estimates, a imputation-based methodology was
incorporated into processing (see the description in the Group Quarters Person Weighting
Section). An adjustment was made to the production replicate weight variance methodology to
account for the non-negligible amount of additional variation being introduced by the new
technique.8 F
9
Excluding the base weights, replicate weights were allowed to be negative in order to avoid
underestimating the standard error. Exceptions include:
1. The estimate of the number or proportion of people, households, families, or housing
units in a geographic area with a specific characteristic is zero. A special procedure is
used to estimate the standard error.
2. There are either no sample observations available to compute an estimate or standard
error of a median, an aggregate, a proportion, or some other ratio, or there are too few
sample observations to compute a stable estimate of the standard error. The estimate is
represented in the tables by “-” and the margin of error by “**” (two asterisks).
3. The estimate of a median falls in the lower open-ended interval or upper open-ended
interval of a distribution. If the median occurs in the lowest interval, then a “-” follows
the estimate, and if the median occurs in the upper interval, then a “+” follows the
estimate. In both cases, the margin of error is represented in the tables by “***” (three
asterisks).
Approximating Standard Errors and Margins of Error
Previously, this document included formulas for approximating the standard error (SE) and
margin of error (MOE) for various types of estimates. For example, summing estimates or
calculating a ratio of two or more estimates. These formulas are also found in the Instruction
for Statistical Testing documents, which is located at https://www.census.gov/programs-
surveys/acs/technical-documentation/code-lists.html. In addition, the worked examples have
also been placed in the same location in the document called “Worked Examples for
Approximating Margins of Error”.
9 For more information regarding this issue, see Asiala, M. and Castro, E. 2012. Developing Replicate Weight-
Based Methods to Account for Imputation Variance in a Mass Imputation Application. In JSM proceedings,
Section on Survey Research Methods, Alexandria, VA: American Statistical Association.
P a g e | 25
TESTING FOR SIGNIFICANT DIFFERENCES
Users may conduct a statistical test to see if the difference between an ACS estimate and any
other chosen estimate is statistically significant at a given confidence level. “Statistically
significant” means that it is not likely that the difference between estimates is due to random
chance alone.
To perform statistical significance testing, data users will need to calculate a Z-statistic. The
equation is available in the Instructions for Statistical Testing, which is located at
https://www.census.gov/programs-surveys/acs/technical-documentation/code-lists.html.
Users completing statistical testing may be interested in using the ACS Statistical Testing Tool.
This automated tool allows users to input pairs and groups of estimates for comparison. For
more information on the Statistical Testing Tool, visit https://www.census.gov/programs-
surveys/acs/guidance/statistical-testing-tool.html.
CONTROL OF NONSAMPLING ERROR
As mentioned earlier, sample data are subject to nonsampling error. Nonsampling error can
introduce serious bias into the data, increasing the total error dramatically over that which would
result purely from sampling. While it is impossible to completely eliminate nonsampling error
from a survey operation, the Census Bureau attempts to control the sources of such error during
the collection and processing operations. Described below are the primary sources of
nonsampling error and the programs instituted to control for this error.9 F
10
Coverage Error
It is possible for some sample housing units or persons to be missed entirely by the survey
(undercoverage). It is also possible for some sample housing units and persons to be counted
more than once (overcoverage). Both undercoverage and overcoverage of persons and housing
units can introduce bias into the data. Coverage error can also increase both respondent burden
and survey costs.
To avoid coverage error in a survey, the frame must be as complete and accurate as possible.
For the ACS, the frame is an address list in each state, the source of which is the Master
Address File (MAF). An attempt is made to assign each MAF address to the appropriate
geographic codes via an automated procedure using the Census Bureau TIGER (Topologically
Integrated Geographic Encoding and Referencing) files. A manual coding operation based in
10 The success of these programs is contingent upon how well the instructions were carried out during the survey.
P a g e | 26
the appropriate regional offices is attempted for addresses that could not be automatically
coded.
In 2023, the MAF was used as the source of addresses for selecting sample housing units and
mailing questionnaires. TIGER produced the location maps for CAPI assignments.
Sometimes the MAF contains duplicates of addresses. This could occur when there is a slight
difference in the address such as 123 Main Street versus 123 Maine Street, and can introduce
overcoverage.
In the CAPI nonresponse follow-up phases, efforts were made to minimize the chances that
housing units that were not part of the sample were mistakenly interviewed instead of units in
sample. During the CAPI follow-up, the interviewer had to locate the exact address for each
sample housing unit. If the interviewer could not locate the exact sample unit in a multi-unit
structure, or found a different number of units than expected, the interviewers were instructed
to list the units in the building and follow a specific procedure to select a replacement sample
unit. Person overcoverage can occur when an individual is included as a member of a housing
unit but does not meet ACS residency rules.
Coverage rates give a measure of undercoverage or overcoverage of persons or housing units
in a given geographic area. Rates below 100 percent indicate undercoverage, while rates above
100 percent indicate overcoverage. Coverage rates are released concurrent with the release of
estimates on data.census.gov in the B98 series of detailed tables (table IDs B98011, B98012,
B98013, and B98014). Coverage rate definitions and coverage rates for total population for
nation and states are also available in the Sample Size and Data Quality Section of the ACS
website, at https://www.census.gov/acs/www/methodology/sample-size-and-data-quality/.
Nonresponse Error
Survey nonresponse is a well-known source of nonsampling error. There are two types of
nonresponse error – unit nonresponse and item nonresponse. Nonresponse errors affect survey
estimates to varying levels depending on amount of nonresponse and the extent to which the
characteristics of nonrespondents differ from those of respondents. The exact amount of
nonresponse error or bias on an estimate is almost never known. Therefore, survey researchers
generally rely on proxy measures, such as the nonresponse rate, to indicate the potential for
nonresponse error.
Unit Nonresponse
Unit nonresponse is the failure to obtain data from housing units in the sample. Unit
nonresponse may occur because households are unwilling or unable to participate, or because
an interviewer is unable to make contact with a housing unit. Unit nonresponse is
problematic when there are systematic or variable differences in the characteristics of
interviewed and non-interviewed housing units. Nonresponse bias is introduced into an
P a g e | 27
estimate when differences are systematic; the nonresponse error of an estimate evolves from
variable differences between interviewed and non-interviewed households.
The ACS made every effort to minimize unit nonresponse, and thus, the potential for
nonresponse error. First, the ACS used a combination of mail and CAPI data collection
modes to maximize response. The mail phase included a series of three to four mailings to
encourage housing units to return the questionnaire. Subsequently, a subsample of the mail
nonrespondents were contacted by personal visit to attempt an interview. Combined, these
efforts resulted in a very high overall response rate for the ACS.
ACS response rates measure the percent of units with a completed interview. The higher the
response rate (and, consequently, the lower the nonresponse rate), the lower the chance that
estimates are affected by nonresponse bias. Response and nonresponse rates, as well as rates
for specific types of nonresponse, are released concurrent with the release of estimates on
data.census.gov in the B98 series of detailed tables (table IDs B98021 and B98022). Unit
response rate definitions and unit response rates by type for the nation and states are also
available in the Sample Size and Data Quality Section of the ACS website, at
https://www.census.gov/acs/www/methodology/sample-size-and-data-quality/.
Item Nonresponse
Nonresponse to particular questions on the survey can introduce error or bias into the data, as
the unknown characteristics of the nonrespondents may differ from those of respondents. As
a result, any imputation procedure using respondent data may not completely reflect
difference either at the elemental level (individual person or housing unit) or on average.
Some protection against the introduction of large errors or biases is afforded by minimizing
nonresponse. In the ACS, item nonresponse for the CAPI operation was minimized by
requiring that the automated instrument receive a response to each question before the next
question could be asked. Questionnaires returned by mail were reviewed by computer for
content omissions and population coverage and edited for completeness and acceptability. If
necessary, a telephone follow-up was made to obtain missing information. Potential
coverage errors were included in this follow-up.
Allocation tables provide the weighted estimate of persons or housing units for which a value
was imputed, as well as the total estimate of persons or housing units that were eligible to
answer the question. The smaller the number of imputed responses, the lower the chance that
the item nonresponse is contributing a bias to the estimates. Allocation tables are released
concurrent with the release of estimates on data.census.gov in the B99 series of detailed
tables with the overall allocation rates across all person and housing unit characteristics in the
B98 series of detailed tables (table IDs B98031 and B98032). Allocation rate definitions and
allocation rates by characteristic at the nation, and states are also available in the Sample Size
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and Data Quality Section of the ACS website, at
https://www.census.gov/acs/www/methodology/sample-size-and-data-quality/.
Measurement and Processing Error
Measurement error can arise if the person completing the questionnaire or responding an
interviewer’s questions responds incorrectly. However, to mitigate this risk, the phrasing
survey questions underwent cognitive testing and households were provided detailed
instructions on how to complete the questionnaire.
Processing error can be introduced in numerous areas during data collection and capture,
including during interviews, during data processing and during content editing.
Interviewer monitoring
An interviewer could introduce error by:
1. Misinterpreting or otherwise incorrectly entering information given by a
respondent.
2. Failing to collect some of the information for a person or household.
3. Collecting data for households that were not designated as part of the sample.
To control for these problems, the work of interviewers was monitored carefully. Field staff
was prepared for their tasks by using specially developed training packages that included
hands-on experience in using survey materials. A sample of the households interviewed by
CAPI interviewers was also reinterviewed to control for the possibility that interviewers
may have fabricated data.
Processing Error
The many phases involved in processing the survey data represent potential sources for the
introduction of nonsampling error. The processing of the survey questionnaires includes the
keying of data from completed questionnaires, automated clerical review, follow-up by
telephone, manual coding of write-in responses, and automated data processing. The
various field, coding and computer operations undergo a number of quality control checks to
ensure their accurate application.
Content Editing
After data collection was completed, any remaining incomplete or inconsistent information
was imputed during the final content edit of the collected data. Imputations, or computer
assignments of acceptable codes in place of unacceptable entries or blanks, were most often
needed either when an entry for a given item was missing or when information reported for
a person or housing unit was inconsistent with other information for the same person or
housing unit. As in other surveys and previous censuses, unacceptable entries were
allocated entries for persons or housing units that was consistent with entries for persons or
housing units with similar characteristics. Imputing acceptable values in place of blanks or
unacceptable entries enhances the usefulness of the data.
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