nsf.gov - NCSES Comparison of the National Science Foundation's Scientists and Engineers Statistical Data System (SESTAT) with the Bureau of Labor Statistics' Current Population Survey (CPS) - US National Science Foundation (NSF)
text-only page produced automatically by LIFT Text
Transcoder Skip all navigation and go to page contentSkip top navigation and go to directorate navigationSkip top navigation and go to page navigation
National Science Foundation National Center for Science and Engineering Statistics
Comparison of the National Science Foundation's Scientists and Engineers Statistical Data System (SESTAT) with the Bureau of Labor Statistics' Current Population Survey (CPS)

Appendix C. Standard Errors of SESTAT and CPS Estimates

 

Computational Procedures

The procedures used to compute the approximate variance of the SESTAT and CPS estimates presented in this report are based on procedures described in two technical reports: Cox et al. (2000) and U.S. Census Bureau (2000). In both reports, similar generalized variance function (GVF) models are used to approximate standard errors for estimates of characteristics of the target population. Using the GVF, the standard error (SE) of an estimated total can be obtained by inserting the value of the estimated total, Y hat., into the following formula:

Standard Error of y hat equals the square root of the sum of b sub zero times y hat squared plus b sub one times y hat.    (C.1)


where B sub zero. and B sub one. are appropriate constants.

The coefficient of variation (or relative standard error) of an estimated total is defined as the standard error of the estimate divided by the estimate, that is,

Coefficient of Variation of y hat equals the square root of the sum of b sub one divided by y hat plus b sub zero.  .    (C.2)


Functions of the form (C.1) and (C.2) are referred to as GVFs and are derived empirically using standard errors computed for a large number of survey estimates. For the SESTAT data, GVFs have been developed for the overall population and for subgroups defined by sex, race/ethnicity, and occupation. To obtain approximate standard errors of estimates presented in this report, see Cox et al. (2000), appendix B, tables B-1 to B-4. To obtain the standard errors of the corresponding CPS estimates, the GVF provided in U.S. Department of Labor, Bureau of Labor Statistics (1997) is used.

Because the two survey systems are independent, the standard error of a difference between CPS and SESTAT estimates, Y hat sub CPS minus Y hat sub SESTAT., can be computed as

Standard Error of Y hat sub CPS minus Y hat sub SESTAT equals the square root of the sum of the squared standard error of y hat sub CPS plus the squared standard error of y hat sub SESTAT.   .    (C.3)

Top of page. Back to Top

Standard Errors of Estimated Totals and Differences

The following tables summarize the estimates, standard errors, CVs, and corresponding sample sizes of the estimates presented in the section "Coverage Issues" of this report. Tables C-1 to C-8 correspond to SESTAT estimates, tables C-9 to C-28 correspond to CPS estimates, and tables C-29 to C-32 and figure C-1Figure. correspond to differences between the SESTAT and CPS estimates.

Appendix C Tables Excel PDF
C-1 SESTAT estimated number of individuals with bachelor's or higher degree employed in S&E occupations, by highest degree attained, employment status, and occupational group: 1997 view Excel. view PDF.
C-2 SESTAT unweighted number of individuals for estimates, by highest degree attained, employment status, and occupational group: 1997 view Excel. view PDF.
C-3 SESTAT standard error for estimated number of individuals, by highest degree attained, employment status, and occupational group: 1997 view Excel. view PDF.
C-4 SESTAT coefficient of variation of estimated number of individuals, by highest degree attained, employment status, and occupational group: 1997 view Excel. view PDF.
C-5 SESTAT estimated number of individuals with bachelor's or higher degree employed in S&E occupations, by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.
C-6 SESTAT unweighted number of individuals for estimates, by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.
C-7 SESTAT standard error of estimated number of individuals, by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.
C-8 SESTAT coefficient of variation of estimated number of individuals, by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.
C-9 CPS estimated number of individuals with bachelor's or higher degree employed in S&E occupations, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-10 CPS unweighted number of individuals for estimates, by hightest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-11 CPS standard error of estimated number of individuals, by highest degree attained and employment status: 1997 (April) view Excel. view PDF.
C-12 CPS coefficient of variation of estimated number of individuals, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-13 CPS estimated number of individuals with a bachelor's or higher degree employed in S&E occupations, by sex, race/ethnicity, age, and occupational group: 1997 (April) view Excel. view PDF.
C-14 CPS unweighted number of individuals for estimates, by sex, race/ethnicity, age, and occupational group: 1997 (April) view Excel. view PDF.
C-15 CPS standard error of estimated number of individuals for estimates, by sex, race/ethnicity, age, and occupational group: 1997 (April) view Excel. view PDF.
C-16 CPS coefficient of variation of estimated number of individuals, by sex, race/ethnicity, age, and occupational group: 1997 (April) view Excel. view PDF.
C-17 CPS estimated number of individuals with high school diploma or associate's degree employed in S&E occupations, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-18 CPS unweighted number of individuals for estimates, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-19 CPS standard error of estimated number of individuals, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-20 CPS coefficient of variation of estimated number of individuals, by highest degree attained, employment status, and occupational group: 1997 (April) view Excel. view PDF.
C-21 CPS estimated number of individuals with bachelor's or higher degree employed in S&E occupations, by entry year to United States and highest degree attained: 1997 (April) view Excel. view PDF.
C-22 CPS unweighted number of individuals for estimates, by entry year to United States and highest degree attained: 1997 (April) view Excel. view PDF.
C-23 CPS standard error of estimated number of individuals, by entry year to United States and highest degree attained: 1997 (April) view Excel. view PDF.
C-24 CPS coefficient of variation of estimated number of individuals for estimates, by entry year to United States and highest degree attained: 1997 (April) view Excel. view PDF.
C-25 CPS individuals with bachelor's or higher degree employed in S&E occupations, by entry year to United States and occupational group: 1997 (April) view Excel. view PDF.
C-26 CPS unweighted number of individuals for estimates, by entry year to United States and occupational group: 1997 (April) view Excel. view PDF.
C-27 CPS standard error of estimated number of individuals for estimates, by entry year to United States and occupational group: 1997 (April) view Excel. view PDF.
C-28 CPS coefficient of variation of estimated number of individuals for estimates, by entry year to United States and occupational group: 1997 (April) view Excel. view PDF.
C-29 Estimated difference between SESTAT and CPS in number of individuals with bachelor's or higher degree employed in S&E occupations, by highest degree attained and occupational group: 1997 view Excel. view PDF.
C-30 SESTAT and CPS standard error of estimated difference, by highest degree attained, employment status, and occupational group: 1997 view Excel. view PDF.
C-31 Estimated difference between SESTAT and CPS in number of individuals with a bachelor's or higher degree employed in S&E occupations by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.
C-32 Standard error of estimated difference between SESTAT and CPS, by sex, race/ethnicity, age, and occupational group: 1997 view Excel. view PDF.

 
Comparison of the National Science Foundation's Scientists and Engineers Statistical Data System (SESTAT) with the Bureau of Labor Statistics' Current Population Survey (CPS)
Working Paper | SRS 07-205 | August 2007