Technical Notes to Establishment Survey Data


Introduction

BLS collects data each month on employment, hours, and earnings from a sample of nonfarm establishments. The sample includes about 141,000 businesses and government agencies, which cover approximately 486,000 individual worksites drawn from a sampling frame of Unemployment Insurance (UI) tax accounts covering roughly 9 million establishments. The active CES sample includes approximately one-third of all nonfarm payroll employees. From these data, a large number of employment, hours, and earnings series in considerable industry and geographic detail are prepared and published each month. Historical statistics are available at http://www.bls.gov/ces/home.htm, the BLS Internet site.

Data collection

Each month, BLS collects data on employment, payroll, and paid hours from a sample of establishments. BLS has a comprehensive program of new sample unit solicitation in four BLS Regional Data Collection Centers (DCCs). The DCCs perform initial enrollment of each firm via telephone, collect the data for several months via Computer Assisted Telephone Interviewing (CATI), and where possible transfer respondents to a self-reporting mode such as Touchtone Data Entry (TDE), FAX, or Internet collection. In addition, the DCC's conduct an ongoing program of refusal conversion. Very large firms are often enrolled via personal visit and ongoing reporting is established via Electronic Data Interchange (EDI). Offering survey respondents a choice of reporting methods helps sustain response rates to this voluntary survey.

The largest portion of the CES sample is collected via EDI (44 percent), while Internet collection and CATI are used to collect approximately 27 percent and 17 percent of all reports, respectively. Under EDI, the firm provides an electronic file to BLS each month in a prescribed file format. This file includes data for all of the firm's worksites. The file is received, processed, and edited by the BLS operated EDI Center. Internet collection is one of the fastest growing collection methods. Under Internet collection, the respondent links to a secure website that contains an image of the questionnaire and enters their data into the on-line form. The data are subject to a series of edit checks before being transmitted to BLS.

TDE, another self-reporting mode, is used to collect about 4 percent of the monthly reports. Under the TDE system, the respondent uses a touchtone telephone to call a toll-free number and activate an interview session. The questionnaire resides on the computer in the form of prerecorded questions that are read to the respondent. The respondent enters numeric responses by pressing the touchtone phone buttons. Each answer is read back for respondent verification.

FAX collection through the combined Regional BLS DCCs account for most of the remainder of the reports (5 percent). For the few establishments that do not use the above methods, data are collected using mail, transcript, magnetic tape, or computer diskette (3 percent).

Chart 1 shows the percentage of the establishments using different data collection methods.

Chart 1: Distribution of CES Sample by Collection Mode, 2011

Concepts

Industrial classification

All data on employment, hours, and earnings for the Nation and for States and areas are classified in accordance with the 2012 North American Industry Classification System (NAICS), specified by the U.S. Office of Management and Budget. The United States, Canada, and Mexico share this classification system, which allows a direct comparison of economic data across the three countries. For information about the conversion from NAICS 2007 to NAICS 2012, please see http://www.bls.gov/ces/cesnaics12.htm.

Establishments are classified into industries on the basis of their primary activity. Those that use comparable capital equipment, labor, and raw material inputs are classified together. This information is collected on a supplement to the quarterly UI tax reports filed by employers. For an establishment engaging in more than one activity, the entire employment of the establishment is included under the industry indicated by the principal activity.

Industry grouping

CES aggregates estimates for detailed industries into one of 17 major industry sector. Major industry sectors are defined in Table 1 below. All major industry sectors include only privately-owned establishments, except for 90-910000 Federal government, 90-920000 State government, and 90-930000 Local government.

Table 1. Major Industry Sectors
CES Industry Code Major Sector Name NAICS Codes Included / Ownership

10-000000

Mining and logging 1133, 21 / Private

20-000000

Construction 23 / Private

31-000000

Durable goods 33, 32* / Private

32-000000

Nondurable goods 31, 32* / Private

41-420000

Wholesale trade 42 / Private

42-000000

Retail trade 44-45 / Private

43-000000

Transportation and warehousing 48-49 / Private

44-220000

Utilities 22 / Private

50-000000

Information 51 / Private

55-000000

Financial activities 52,53 / Private

60-000000

Professional and business services 54,55,56 / Private

65-000000

Education and health services 61,62 / Private

70-000000

Leisure and hospitality 71,72 / Private

80-000000

Other services 81 / Private

90-910000

Federal government All in-scope NAICS / Federal government

90-920000

State government All in-scope NAICS / State government

90-930000

Local government All in-scope NAICS / Local government

* CES allocates 3-digit NAICS industries to this major industry sector based on industry description.


Aggregate industry sectors group the major industry sectors into higher levels of detail, as defined in Table 2 below.

Table 2. Aggregate Industry Sectors
CES Industry Code Aggregate Sector Name Sectors Included

00-000000

Total nonfarm 05-000000 Total private, 90-000000 Government

05-000000

Total private 06-000000 Goods-producing, 08-000000 Private service-providing

06-000000

Goods-producing 10-000000 Mining and logging, 20-000000 Construction, 30-000000 Manufacturing

07-000000

Service-providing 40-000000 Trade, transportation, and utilities, 50-000000 Information, 55-000000 Financial activities, 60-000000 Professional and business services, 65-000000 Education and health services, 70-000000 Leisure and hospitality, 80-000000 Other services, 90-000000 Government

08-000000

Private service-providing 40-000000 Trade, transportation, and utilities, 50-000000 Information, 55-000000 Financial activities, 60-000000 Professional and business services, 65-000000 Education and health services, 70-000000 Leisure and hospitality, 80-000000 Other services

30-000000

Manufacturing 31-000000 Durable goods, 32-000000 Nondurable goods

40-000000

Trade, transportation, and utilities 41-420000 Wholesale trade, 42-000000 Retail trade, 43-000000 Transportation and warehousing, 44-220000 Utilities

90-000000

Government 90-910000 Federal government, 90-920000 State government, 90-930000 Local government

Industry employment

Employment data refer to persons on establishment payrolls who received pay for any part of the pay period that includes the 12th day of the month.

The data exclude proprietors, the unincorporated self-employed, unpaid volunteer or family employees, farm employees, and domestic employees. Salaried officers of corporations are included. Government employment covers only civilian employees; military personnel are excluded. Employees of the Central Intelligence Agency, the National Security Agency, the National Imagery and Mapping Agency, and the Defense Intelligence Agency also are excluded.

Persons on establishment payrolls who are on paid sick leave (for cases in which pay is received directly from the firm), on paid holiday, or on paid vacation, or who work during a part of the pay period even though they are unemployed or on strike during the rest of the period are counted as employed. Not counted as employed are persons who are on layoff, on leave without pay, or on strike for the entire period, or who were hired but have not yet reported during the period.

Production and related employees. This category includes working supervisors and all nonsupervisory employees (including group leaders and trainees) engaged in fabricating, processing, assembling, inspecting, receiving, storing, handling, packing, warehousing, shipping, trucking, hauling, maintenance, repair, janitorial, guard services, product development, auxiliary production for plant's own use (for example, power plant), recordkeeping, and other services closely associated with the above production operations.

Construction employees. This group includes the following employees in the construction sector: Working supervisors, qualified craft employees, mechanics, apprentices, helpers, laborers, and so forth, engaged in new work, alterations, demolition, repair, maintenance, and the like, whether working at the site of construction or in shops or yards at jobs (such as precutting and preassembling) ordinarily performed by members of the construction trades.

Nonsupervisory employees. These are employees (not above the working-supervisor level) such as office and clerical employees, repairers, salespersons, operators, drivers, physicians, lawyers, accountants, nurses, social employees, research aides, teachers, drafters, photographers, beauticians, musicians, restaurant employees, custodial employees, attendants, line installers and repairers, laborers, janitors, guards, and other employees at similar occupational levels whose services are closely associated with those of the employees listed.

Industry hours and earnings

Concurrent with the release of January 2010 data, the CES program began publishing all employee hours and earnings as official BLS series. These series were developed to measure the average hourly earnings and average weekly hours of all nonfarm private sector employees and the average overtime hours of all manufacturing employees. All employee hours and earnings were first released as experimental series in April 2007, and included National level estimates at a Total private sector level and limited industry detail.

Historically, the CES program has published average hours and earnings series for production employees in the Goods-producing industries and for non-supervisory employees in the Service-providing industries. These employees account for about 80 percent of Total private nonfarm employment. The all employee hours and earnings series are more comprehensive in coverage, covering 100 percent of all paid employees in the private sector, thereby providing improved information for analyzing economic trends and for constructing other major economic indicators, including nonfarm productivity and personal income.

All employee average hours and earnings data are derived from reports of payrolls and hours for all employees. Production/nonsupervisory employee average hours and earnings data are derived from reports of production and related employees in Manufacturing and Mining and logging, construction employees in Construction, and nonsupervisory employees in Private-service-providing industries.

Payroll. This refers to the payroll for full- and part-time all employees, production, construction, and nonsupervisory employees who received pay for any part of the pay period that includes the 12th day of the month. The payroll is reported before deductions of any kind, such as those for old-age and unemployment insurance, group insurance, withholding tax, bonds, or union dues; also included is pay for overtime, holidays, and vacation, and for sick leave paid directly by the firm. Excluded from the payroll are bonuses (unless earned and paid regularly each pay period); other pay not earned in the pay period reported (such as retroactive pay); and the value of free rent, fuel, meals, or other payment in kind.

Hours. These are the hours paid for during the pay period that includes the 12th of the month for all employees, production, construction, and nonsupervisory employees. Included are hours paid for holidays and vacations, and for sick leave when pay is received directly from the firm.

Overtime hours. These are hours worked by all employees, production and related employees, and nonsupervisory employees in Manufacturing for which overtime premiums were paid because the hours were in excess of the number of hours of either the straight-time workday or the workweek during the pay period that included the 12th of the month. Weekend and holiday hours are included only if overtime premiums were paid. Hours for which only shift differential, hazard, incentive, or other similar types of premiums were paid are excluded.

Average weekly hours. The workweek information relates to the average hours for which pay was received and is different from standard or scheduled hours. Such factors as unpaid absenteeism, labor turnover, part-time work, and stoppages cause average weekly hours to be lower than scheduled hours of work for an establishment. Group averages further reflect changes in the workweek of component industries.

Indexes of aggregate weekly hours and payrolls. The indexes for all employee aggregate weekly hours are calculated by dividing the current month's aggregate by the average of the 12 monthly figures for 2007. The indexes of aggregate weekly hours for production employees are calculated by dividing the current month's aggregate by the average of the 12 monthly figures for 2002. For basic industries, the hours aggregates are the product of average weekly hours and employment (either all employee or production/nonsupervisory employees). At all higher levels of industry aggregation, hours aggregates are the sum of the component aggregates.

The indexes of aggregate weekly payrolls are calculated by dividing the current month's aggregate by the average of the 12 monthly figures for 2007 for all employees and 2002 for production employees. For basic industries, the payroll aggregates are the product of average hourly earnings and aggregate weekly hours. At all higher levels of industry aggregation, payroll aggregates are the sum of the component aggregates.

Average overtime hours. Overtime hours represent that portion of average weekly hours that exceeded regular hours and for which overtime premiums were paid in the Manufacturing sector. If an employee were to work on a paid holiday at regular rates, receiving as total compensation his holiday pay plus straight-time pay for hours worked that day, no overtime hours would be reported. This applies to both all employee and production and nonsupervisory employee average overtime hours.

Because overtime hours are premium hours by definition, weekly hours and overtime hours do not necessarily move in the same direction from month to month. Such factors as work stoppages, absenteeism, and labor turnover may not have the same influence on overtime hours as on average hours. Diverse trends at the industry group level also may be caused by a marked change in hours for a component industry in which little or no overtime was worked in both the previous and current months.

Average hourly earnings. Average hourly earnings are on a "gross" basis. They reflect not only changes in basic hourly and incentive wage rates, but also such variable factors as premium pay for overtime and late-shift work and changes in output of employees paid on an incentive plan. They also reflect shifts in the number of employees between relatively high-paid and low-paid work and changes in employees' earnings in individual establishments. Averages for groups and divisions further reflect changes in average hourly earnings for individual industries.

Averages of hourly earnings differ from wage rates. Earnings are the actual return to the employee for a stated period; rates are the amount stipulated for a given unit of work or time. The earnings series do not measure the level of total labor costs on the part of the employer because the following are excluded: Benefits, irregular bonuses, retroactive items, payroll taxes paid by employers, and earnings for those employees not covered under production employee, construction employee, or nonsupervisory employee definitions.

Average hourly earnings, excluding overtime. Average hourly earnings, excluding overtime-premium pay, are computed by dividing the total all employee or production employee payroll for the industry group by the sum of total all employee or production employee hours and one-half of total all employee or production employee overtime hours. No adjustments are made for other premium payment provisions, such as holiday pay, late-shift premiums, and overtime rates other than time and one-half.

Average weekly earnings.  These estimates are derived by multiplying average weekly hours estimates by average hourly earnings estimates. Therefore, weekly earnings are affected not only by changes in average hourly earnings but also by changes in the length of the workweek. Monthly variations in such factors as the proportion of part-time employees, stoppages for varying reasons, labor turnover during the survey period, and absenteeism for which employees are not paid may cause the average workweek to fluctuate.

Long-term trends of average weekly earnings can be affected by structural changes in the makeup of the workforce. For example, persistent long-term increases in the proportion of part-time employees in Retail trade and many of the services industries have reduced average workweeks in these industries and have affected the average weekly earnings series.

Real earnings. These earnings are in constant dollars and are calculated from the earnings averages for the current month using a deflator. The Consumer Price Index for All Urban Consumers (CPI-U) is used to deflate the new earnings series for all employees, while the Consumer Price Index for Urban Wage Earners and Clerical employees (CPI-W) is used to deflate the earnings series for production and nonsupervisory employees. The scope for the CPI-W is similar to that of the production employee earnings, both in the type of worker which is covered and the amount of the population that is covered by these series. The CPI-U used to deflate the all employee earnings is more inclusive than the CPI-W. Since the all employee earnings include all private sector employees the more inclusive deflator is used in the calculation. The reference base for the CPI series is the 36-month period covering the years 1982, 1983 and 1984.

Indexes of diffusion of employment change. These indexes measure the dispersion of employment change in industries over the specified time span. The overall indexes are calculated from 266 seasonally adjusted employment series (primarily 4-digit NAICS industries) covering all nonfarm payroll employment in the private sector. The Manufacturing diffusion indexes are based on 81 4-digit NAICS industries.

To derive the indexes, each component industry is assigned a value of 0, 50, or 100 percent, depending on whether its employment showed a decrease, no change, or an increase, respectively, over the time span. The average value (mean) is then calculated, and this percent is the diffusion index number.

The reference point for diffusion analysis is 50 percent, the value indicating that the same number of component industries had increased as had decreased. Index numbers above 50 show that more industries had increasing employment and values below 50 indicate that more had decreasing employment. The margin between the percent that increased and the percent that decreased is equal to the difference between the index and its complement - that is, 100 minus the index. For example, an index of 65 percent means that 30 percent more industries had increasing employment than had decreasing employment (65-(100-65) = 30). However, for dispersion analysis, the distance of the index number from the 50-percent reference point is the most significant observation.

Although diffusion indexes commonly are interpreted as showing the percent of components that increased over the time span, the index reflects half of the unchanged components as well. (This is the effect of assigning a value of 50 percent to the unchanged components when computing the index.)

Estimating methods

The Current Employment Statistics (CES) or establishment survey estimates of employment are generated through an annual benchmark and monthly sample link procedure. Annual universe counts or benchmark levels are generated primarily from administrative records on employees covered by UI tax laws. These annual benchmarks, established for March of each year, are projected forward for each subsequent month based on the trend of the sample employment and an adjustment for the net of business births and deaths. Benchmarks and monthly estimates are computed for each basic estimating cell and summed to create aggregate-level employment estimates.

Benchmarks

For the establishment survey, annual benchmarks are constructed in order to realign the sample-based employment totals for March of each year with the UI-based population counts for March. These population counts are much less timely than sample-based estimates and are used to provide an annual point-in-time census for employment. For National series, only the March sample-based estimates are replaced with UI counts. For State and metropolitan area series, all available months of UI data are used to replace sample-based estimates. State and area series are based on smaller samples and are therefore more vulnerable to both sampling and non-sampling errors than National estimates.

Population counts are derived from the administrative file of employees covered by UI. All employers covered by UI laws are required to report employment and wage information to the appropriate State Workforce Agency four times a year. Approximately 97 percent of Private and Total nonfarm employment within the scope of the establishment survey is covered by UI. A benchmark for the remaining 3 percent is constructed from alternate sources, primarily records from the Railroad Retirement Board (RRB) and County Business Patterns (CBP). The full benchmark developed for March replaces the March sample-based estimate for each basic cell. The monthly sample-based estimates for the year preceding and the year following the benchmark are also then subject to revision.

Monthly estimates for the year preceding the March benchmark are readjusted using a "wedge back"; procedure. The difference between the final benchmark level and the previously published March sample estimate is calculated and spread back across the previous 11 months. The wedge is linear; eleven-twelfths of the March difference is added to the February estimate, ten-twelfths to the January estimate, and so on, back to the previous April estimate, which receives one-twelfth of the March difference. This assumes that the total estimation error since the last benchmark accumulated at a steady rate throughout the current benchmark year.

Estimates for the seven months following the March benchmark also are recalculated each year. These post-benchmark estimates reflect the application of sample-based monthly changes to new benchmark levels for March and the recomputation of business birth/death factors for each month.

Following the revision of basic employment estimates, all other derivative series (such as number of production employees and average hourly earnings) also are recalculated. New seasonal adjustment factors are calculated and all data series for the previous five years are re-seasonally adjusted before full publication of all revised data in February of each year.

Calculating noncovered employment. Noncovered employment results from a difference in scope between the CES program and the Quarterly Census of Employment and Wages (QCEW) program.  QCEW employment counts are derived from UI tax reports that individual firms file with their State Employment Security Agency (SESA). Most firms are required to pay UI tax for their employees; however, there are some types of employees that are exempt from UI tax law, but are still within scope for the CES estimates.  Examples of the types of employees that are exempt are students paid by their school as part of a work study program; interns of hospitals paid by the hospital for which they work; employees paid by State and local government and elected officials; independent or contract insurance agents; employees of non-profits and religious organizations (this is the largest group of employees not covered); and railroad employees covered under a different system of UI administered by the Railroad Retirement Board.  This employment needs to be accounted for in order to set the benchmark level for CES employment.

No single source of noncovered data exists; therefore, BLS uses a number of sources to generate the employment counts, including County Business Patterns and the Annual Survey of Public Employment and Payroll (ASPEP) both from the US Census Bureau, the Railroad Retirement Board, and the State Workforce Agencies. 

The majority of noncovered employment is calculated using CBP data. Industries for which noncovered employment is derived from the CBP are provided in Table A. The CBP — which draws from Social Security filings and other records which do include those employees not covered by UI tax laws —  is lagged in its publication by approximately two years (e.g. in 2011 the 2009 CBP data was published).  To adjust for this lag, CES assumes that the noncovered portion of employment grows or declines at the same rate as the covered portion and trends the CPB data forward using the QCEW trend. The current QCEW employment level is subtracted from the trended CBP figure, and the residual is the noncovered employment level.

Noncovered employment for all CBP based industries, with the exception of Religious organizations, is calculated as follows:

where:

= Noncovered employment estimate
= CBP employment data for NAICS
= QCEW employment for NAICS
= Benchmark year

Noncovered employment for Religious organizations is calculated by:

where:

= Noncovered employment estimate
= CBP employment data for NAICS 813110
= QCEW employment for NAICS 813110
= Benchmark year

Table A. Noncovered Industries Calculated Using County Business Patterns Data
NAICS Code Industry Title

524113

Direct life insurance carriers

524114

Direct health and medical insurance carriers

524126

Direct property and casualty insurance carriers

524127

Direct title insurance carriers

524128

Other direct insurance carriers, except life, health & medical

524130

Reinsurance carriers

524210

Insurance agencies and brokerages

611110

Elementary and secondary schools

611210

Junior colleges

611310

Colleges and universities

611410

Business and secretarial schools

611420

Computer training

611430

Management training

611511

Cosmetology and barber schools

611512

Flight training

611513

Apprenticeship training

611519

Other technical and trade schools

611610

Fine arts schools

622110

General medical and surgical hospitals

622210

Psychiatric and substance abuse hospitals

622310

Other hospitals

624310

Vocational rehabilitation services

624410

Child day care services

813110

Religious organizations

813211

Grantmaking foundations

813312

Environment and conservation organizations

813410

Civic and social organizations

813910

Business associations

813940

Political organizations

813990

Other similar organizations

Indicates that noncovered employment is calculated for firms owned both privately and by State and local government.

The estimated employment for industries listed in Table B is calculated from the Annual Survey of Public Employment and Payroll data using the following calculation.   .

where:

= Noncovered employment estimate
= Public employment data for higher education*
= Benchmark year

*Public employment data for higher education is the sum of institutional full time and part time employment, and non-institutional full time and part time employment.

Table B. Noncovered Industries Calculated Using Annual Survey of Public Employment and Payroll Data
NAICS Code Industry Title

611210

Junior colleges

611310

Colleges and universities

Indicates that noncovered employment is calculated only for firms owned by State and local government.

Railroad employment estimates are developed based on data provided by the Railroad Retirement Board. RRB data is broken out by railroad class rather than industry so BLS prorates the class data out to NAICS industry classifications (Table C). These data are lagged by one year and are trended forward using a ratio based on the benchmark year and the previous year for the CES series Rail transportation (NAICS 482). This ratio is applied to the RRB data and then mapped to the corresponding NAICS codes.

Table C. Noncovered Industries Calculated Using Railroad Retirement Board Data
Rail Class NAICS Code Industry Title

Class 1

482111 Line-haul railroads

Class 2

482112 Short line railroads

Class 3

482112 Short line railroads

Class 8

488210 Support activities for rail transportation

532411 Commercial air, rail, and water transportation equipment rental and leasing

Class 9

485111 Mixed mode transit systems

485113 Bus and other motor vehicle transit systems

485999 All other transit and ground passenger transportation

Over time some sources from which BLS draws input data have become unreliable. Where possible BLS has tried to find new sources of input data, but for series that no longer have reliable input data, BLS trends forward the previous year’s noncovered employment levels using a ratio derived from QCEW employment data.  These industries are contained in Table D and are calculated using the following method

where:

= noncovered employment estimate
= QCEW employment
= Benchmark year

Table D. Noncovered Industries Calculated Using QCEW Trend
NAICS Code Industry Title

511110

Newspaper publishers

511120

Periodical publishers

511130

Book publishers

921140

Executive and legislative offices

922190

Other justice, public order, and safety activities

923110

Administration of education programs

924110

Administration of air and water resource and solid waste management programs

925110

Administration of housing programs

926110

Administration of general economic programs

927110

Space research and technology

928110

National security

Indicates that noncovered employment is calculated only for firms owned by State and local government.

Corporate officers are one of the largest exemptions outside of the industries listed. In several States, corporate officers are exempt from UI coverage and as a result noncovered employment exists in most NAICS industries in those States. Corporate officers and other State specific employment exemptions outside of those listed above are collected from State offices annually by BLS.

Noncovered employment industries are reviewed and refined periodically. This review is done to identify any changes in state UI coverage, as well as to ensure that BLS captures all exempted employment within the scope of the CES Survey and that our methodology and external data sources are as accurate as possible. When additions and changes are identified during review, they are incorporated with the following March benchmark. 

Changing data ratios for Education and Religious organizations. Due to the small sample in Religious organizations (NAICS 8131) and definitional exclusions in the collection of data for Educational services (NAICS 611), certain ratios for these series are recalculated with each benchmark to allow for the creation of aggregate totals. Production or nonsupervisory employee and women employee ratios, all employee average hourly earnings and average weekly hours, and production employee average hourly earnings and average weekly hours for these series are calculated based on the weighted average of the previous year’s Professional and technical services, Education and health services, Leisure and hospitality, and Other services supersectors' annual averages. This year the March 2011 values were set based on the 2010 annual averages.

The Education services series uses the nonsupervisory employee ratio, average hourly earnings, and average weekly hours calculated from the weighted average. The Religious organizations series uses the production employee ratio, women employee ratio, average hourly earnings, and average weekly hours calculated from the weighted average. In both cases, the ratios, average hourly earnings, and average weekly hours for all employees and production employees are held constant through the next benchmark.

Monthly estimation

CES uses a matched sample concept and weighted link relative estimator to produce employment, hours, and earnings estimates. These methods are described in Table 2-A. A matched sample is defined to be all sample members that have reported data for the reference month and the month prior. Excluded from the matched sample is any sample unit that reports that it is out-of-business. This aspect of the estimation methodology is more fully described in the section on estimation of business births and deaths below.

Stratification. The sample is stratified into 587 basic estimation cells for purposes of computing National employment estimates. Estimating cell structures may differ for hours and earnings due to the expansion of hours and earnings series for all employees and production employees. Cells are defined primarily by detailed industry. In the Construction supersector, geographic stratification is also used. The estimation cells can be defined at the 3-, 4-, 5-, and 6-digit NAICS level.

In addition to the estimation cells mentioned above, there are 37 independently estimated cells which do not aggregate to the summary cell levels.

Weighted link-relative technique. The estimator for the all employee (AE) series uses the sample trend in the cell to move the previous level to the current-month estimated level. A model-based component is applied to account for the net employment resulting from business births and deaths not captured by the sample.

The basic formula for estimating all employees is:

,

where:

i  = matched sample unit;

       = weight associated with the CES report;

     = current-month reported all employees;

  = previous-month reported all employees;

  = current-month estimated all employees; and

 = previous-month estimated all employees.

 

Weighted link and taper technique. The estimator used for all datatypes other than all employees accounts for the over-the-month change in the sampled units, but also includes a tapering feature used to keep the estimates close to the overall sample average over time. The taper is considered to be a level correction. This estimator uses matched sample data; it tapers the estimate toward the sample average for the previous month of the current matched sample before applying the current month's change; and it promotes continuity by heavily favoring the estimate for the previous month when applying the numerical factors.

Current month estimate of production and non-supervisory employees (PE) is defined as

    , where

  

for all i I and j J

Current month estimate of women employees (WE)

Estimation of the series for women employees is identical to that described for production employees with the appropriate substitution of women employees values for the production or nonsupervisory employee values in the previous formulas.

Current month estimate of Hours and Earnings series

The same estimation formulas currently used for the published series on production and nonsupervisory employee hours and earnings are used for the all employee hours and earnings series. Within the formulas, simply substitute all employee references for production employee references.

Current month estimate of AWH is defined as

  

for all i I and j J

Current month estimate of AHE is defined as

for all i I and j J

where:

i = a matched CES report

I = the set of all matched CES reports

j = a matched CES report where the current month is atypical

J = the set of all matched CES reports where the current month is atypical (Note: J is a subset of I)

            = weight associated with the CES report;

        = current month reported Production Employees

        = previous month reported Production Employees

      = current month reported Production Employees, atypical record

      = previous month reported Production Employees, atypical record

  = current month reported Production Employees, atypical WH record

  = previous month reported Production Employees, atypical WH record

        = current month estimated Production Employees

       = previous month estimated Production Employees

        = current month reported Weekly Hours

        = previous month reported Weekly Hours

      = current month reported Weekly Hours, atypical record

     = previous month reported Weekly Hours, atypical record

  = current month reported Weekly Hours, atypical PR record

  = previous month reported Weekly Hours, atypical PR record

       = current month estimated Aggregate Employee Hours

      = previous month estimated Aggregate Employee Hours

    = current month estimated Average Weekly Hours

  = previous month estimated Average Weekly Hours

       = current month reported Weekly Payroll

      = previous month reported Weekly Payroll

    = current month reported Weekly Payroll, atypical record

    = previous month reported Weekly Payroll, atypical record

   = current month estimated Average Hourly Earnings

  = previous month estimated Average Hourly Earnings

Current month estimate of overtime hours (OT)

Estimation of overtime hours is identical to that described for weekly hours with the appropriate substitution of overtime hours values for the weekly hours values in the previous formula.

Small domain model. National employment estimates for six industries are produced using the CES Small Domain Model (SDM). Relatively small sample sizes in these industries limit the reliability of the weighted-link-relative estimator for estimates of all employees (see Table 3). Estimation of nonsupervisory employees, average weekly hours, and average weekly and hourly earnings is completed using the standard weighted link relative methodology used for other series. BLS has been using the CES SDM for some State and metropolitan area employment series which have small samples since 2003.

Table 3. Small domain model industries
Industry Title CES Industry Code

Direct health and medical insurance carriers

55524114

Lessors of nonfinancial intangible assets

55533000

Tax preparation services

60541213

Other technical consulting services

60541690

Remediation services

60562910

Recreational and vacation camps

70721214

The CES Small Domain Model (SDM) is a Weighted Least Squares model with two employment inputs: (1) an estimate based on available CES sample for that series, and (2) an ARIMA projection based on trend from ten years of historical QCEW data.

Business birth and death estimation. In a dynamic economy, firms are continually opening and closing. These two occurrences offset each other to some extent. CES uses this fact to account for a large proportion of the employment associated with business births. This is accomplished by excluding business death units from the matched sample definition. Effectively, business deaths are not included in the sample-based link portion of the estimate, and the implicit imputation of their previous month's employment is assumed to offset a portion of the employment associated with births.

There is an operational advantage associated with this approach as well. Most firms will not report that they have gone out of business; rather, they simply cease reporting and are excluded from the link, as are all other nonrespondents. As a result, extensive follow-up with monthly nonrespondents to determine whether a company is out-of-business or simply did not respond is not required.

Employment associated with business births will not exactly equal that associated with business deaths. The amount by which it differs varies by month and by industry. As a result, the residual component of the birth/death offset must be accounted for by using a model-based approach.

With any model-based approach, it is desirable to have five or more years of history to use in developing the models. Due to the absence of reliable counts of monthly business births and deaths, development of an appropriate birth/death residual series assumed the following form:

Birth-death residual = Population - Sample-based estimate + Error

During the net birth/death modeling process, simulated monthly probability estimates over a 5-year period are created and compared with population employment levels. Moving from a simulated benchmark, the differences between the series across time represent a cumulative birth/death component. Those residuals are converted to month-to-month differences and used as input series to the modeling process.

Models are fit using X-12 ARIMA (Auto-Regressive Integrated Moving Average). Outliers, level shifts, and temporary ramps are automatically identified. Five models were tested, and the model exhibiting the lowest average forecast error was selected. Table 2-B shows the net birth/death model figures for the post-benchmark period of April 2011 to October 2011.

Prior to the release of preliminary January 2011 employment estimates in February 2011, birth/death residuals were calculated on an annual basis and then applied each month during development of monthly estimates. With the release of the January 2011 preliminary estimates, BLS began updating the CES net birth/death model component of the estimation process on a quarterly basis instead of annually. This change allows for the incorporation of QCEW data into the birth/death model as soon as it becomes available and reduces the post-benchmark revision in the CES series. This change does not impact the timing or frequency of CES monthly and annual releases or when benchmarking is done. For more information on the CES switch to quarterly net birth/death forecasting, please visit http://www.bls.gov/ces/ces_quarterly_birthdeath.htm.

Residential and Nonresidential specialty trade contractors estimates. Residential and nonresidential employment estimates in Specialty trade contractors (NAICS 238) are produced as breakouts under the standard NAICS coding structure. Benchmarks for these series are developed from the QCEW data and independent estimates for these series are made on a monthly basis and raked to the estimates produced under the standard structure to ensure that the sum of the Residential specialty trade contractors and Non-residential specialty trade contractors series is consistent with the published total for Specialty trade contractors at the 3-digit NAICS level. 

The raking adjustment uses the following methodology: 

Estimates are derived independently for the residential and nonresidential groups at the 4-digit NAICS level for each region. The regional estimates are rounded and summed to the 4-digit NAICS level for both the residential and non-residential groups. Within each 4-digit NAICS series, ratios of residential-to-total employment and nonresidential-to-total employment are calculated. 

At the 4-digit NAICS level, the sum of the Residential/Nonresidential series is subtracted from the official industry-region cell structure total to determine the amount that must be raked. The total amount that must be raked is multiplied by the ratios to determine what percentage of the raked amount should be applied to the residential group and what percentage should be applied to the nonresidential group. 

Once the residential and nonresidential groups receive their proportional amount of raked employment, the two groups are aggregated again to the 4-digit NAICS level. At this point they are equal to the 4-digit NAICS total derived from the official industry-region cell structure. This raking process also forces additivity at the 3-digit NAICS level. 

Only estimates of all employees are made for the Residential and Nonresidential specialty trade contractor series. Estimates of construction employees, women employees, and hours and earnings are not produced.

Aggregation procedures

CES estimates at the basic estimating level and then aggregates these estimates to higher industry levels. Aggregation procedures are specific to the data type and published level of precision (i.e. the degree of rounding).

Publication Precision. For employment data types, CES publishes estimates for major industry and aggregate industry sectors in thousands, rounded to the thousands, except for major industry sectors 41-420000 Wholesale trade, 42-000000 Retail trade, 43-000000 Transportation and warehousing, and 44-220000 Utilities, which are published in thousands, rounded to the hundreds. More detailed employment estimates are published in thousands, rounded to the hundreds.

For hours and earnings data types, estimates are published using the same procedures for all levels of detail. Hours data types are published in hours, rounded to the tenths. Earnings data types are published in dollars, rounded to the cent.

Employment (AE, PE, and WE). All employment data types use the same method for aggregation. Basic level estimates, rounded to the hundreds, are aggregated to summary level estimates up to and including major industry sectors and then rounded to the published precision. Aggregate industry sector estimates are then calculated by summing the rounded major industry and aggregate industry sector estimates that make up the aggregate industry sector and then rounded according to the published precision.

Average weekly hours (AE and PE). The aggregation method for average weekly hours of all employees and production employees is identical, with the appropriate substitution of all employee values or production employee values in the following formulas. Average weekly hours are estimated at the basic level and combined with employment estimates for the same basic level to calculate aggregate employee hours. Aggregate Employee Hours (AH) are rounded to the tenths at the basic estimating level and calculated as shown:

AH = AWH * Emp

where:

AH = current month aggregate employee hours calculation for the basic level , rounded to the tenths;

AWH = current month AWH estimate for the basic level, rounded as published; and

Emp = current month employment estimate for the basic level, rounded as published.

Next, aggregate employee hours are added up to the summary levels. Average weekly hours, rounded to the tenths, are calculated for the summary level by:

AWH =

where:

AWH = current month average weekly hours estimate for the summary level, rounded to the tenths;

AH = current month aggregate employee hours calculation for the summary level, rounded to the tenths; and

Emp = current month employment estimate for the summary level, rounded according to published precision.

Average hourly earnings (AE and PE). The aggregation method for average hourly earnings of all employees and production employees is identical, with the appropriate substitution of all employee values or production employee values in the following formulas. Average hourly earnings are estimated at the basic level and combined with employment estimates for the same basic level to calculate aggregate employee hours. Calculation of aggregate employee hours (AH) is identical to that described for average weekly hours.

Aggregate payroll (PR) is calculated using basic level average weekly hours, average hourly earnings, and employment. Basic level aggregate payroll calculations are rounded to the cent and are defined as:

PR = AHE * AWH * Emp

where:

PR = current month aggregate payroll calculation for the basic level, rounded to the cent;

AHE = current month average hourly earnings estimate for the basic level, rounded as published;

AWH = current month average weekly hours estimate for the basic level, rounded as published; and

Emp = current month employment estimate for the basic level, rounded according to published precision.

To calculate the summary level estimates, summarize the aggregate employee hours and aggregate payroll to the summary level. Average hourly earnings, rounded to the cent, are calculated for the summary level by:

AHE =

where:

AHE = current month average hourly earnings estimate for the summary level, rounded to the cent;

AH = current month aggregate employee hours calculation for the summary level, rounded to the tenths; and

PR = current month aggregate payroll calculation for the summary level, rounded to the cent.

 

Last Modified Date: May 8, 2012