2015 SDR Recipients: Sample Design and Implementation

2017 SDR Attachment B - 2015 SDR Recipients-Sample Design and Implementation Report.pdf

2017 Survey of Doctorate Recipients (SDR)

2015 SDR Recipients: Sample Design and Implementation

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Attachment B
2015 Survey of Doctorate Recipients: Sample
Design and Implementation Report

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2015 SURVEY OF DOCTORATE
RECIPIENTS:

Sample Design and Implementation

PREPARED FOR:
Steve Proudfoot, SDR COTR
National Science Foundation
4201 Wilson Boulevard
Arlington, VA 22230
(703) 292-5111

PREPARED BY:
Michael Yang
Karen Grigorian
NORC at the
University of Chicago
55 East Monroe Street
Chicago, IL 60603
(312) 759-4000

DECEMBER 4, 2015

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Table of Contents
1

Overview of the 2015 SDR Sample Design ................................................. 1

2

Sample Design Changes from the 2013 Cycle............................................ 4

3

Sample Frame Construction ........................................................................ 6

4

3.1

Identifying Frame Cases ................................................................................. 6

3.2

Construction of frame variables ...................................................................... 9

Sample Design ............................................................................................ 23
4.1 Precision Requirements ..................................................................................... 23
4.2 Design Approaches Considered ........................................................................ 24
Dual Frame Design ........................................................................................................... 24
Single Frame with a Fresh New Sample........................................................................... 26

4.3 Sample Allocation .............................................................................................. 26
Step 1 ...................................................................................................................... 27
Step 2 ...................................................................................................................... 28

5.

Sample Selection ........................................................................................ 30

6.

SDR 2017 and Beyond ................................................................................ 33

7.

Concluding Remarks .................................................................................. 34

Appendices
APPENDIX A: Requirements of Sample Expansion and Sample Redesign of the
Survey of Doctorate Recipients and Addendum ..................................................... A-1
Section A1. Requirements of Sample Expansion and Sample Redesign of the Survey of
Doctorate Recipients ........................................................................................................A-1
Section A2. Addendum to Requirements of Sample Expansion and Sample Redesign
of Survey of Doctorate Recipients ...................................................................................A-3

APPENDIX B: Descriptions of 2015 SDR Sample Design Options ...................... B-1
Overview ..........................................................................................................................B-1
Sampling Frame ...............................................................................................................B-1
Two Design Approaches ..................................................................................................B-3
Dual Frame Estimation ....................................................................................................B-4
Fresh New Sample...........................................................................................................B-5
Design Options Considered Under Dual Frame Estimation Approach ............................B-6
Design 1.1: Stratification by FFOD Only, No Oversampling ............................................B-6

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Design 1.2: Stratification by FFOD Only, Oversampling Underrepresented Minorities
(URM) and Women (Not Presented in Tables) ................................................................B-7
Design 1.3: Stratification by FFOD and Cohort, No Oversampling (Not Presented in
Tables) .............................................................................................................................B-8
Design 1.3B: Stratification by FFOD and Cohort, No Oversampling, Adjustment to New
Cohort Allocation ..............................................................................................................B-9
Design 1.4: Stratification by FFOD and Cohort, Oversampling URM and Women,
Adjustment to New Cohort Allocation ............................................................................B-10
Design Options Considered Under Fresh New Sample Approach ................................B-11
Design 2.1: Stratification by FFOD Only, No Oversampling ..........................................B-11
Design 2.1b: Stratification by FFOD Only, Two-Step Sample Allocation ......................B-12
Design 2.2: Stratification by FFOD Only, Two-Step Sample Allocation, Oversampling
URM and Women...........................................................................................................B-13
Design 2.3: Stratification by FFOD Only, Two-Step Sample Allocation, Oversampling
URM, Women, and Panel Cases ...................................................................................B-13
Designs 2.4a – 2.4d: Stratification by FFOD Only, Two-Step Sample Allocation,
Oversampling URM, Women, and Panel Cases ............................................................B-14
Allocation ........................................................................................................................B-14
Sampling ........................................................................................................................B-16
Design 2.5a: Stratification by FFOD Only, Two-Step Sample Allocation with Second Step
Favoring Large FFODs, Oversampling URM, Women, and Panel Cases .....................B-17
Design 2.6a and 2.6c: Stratification by FFOD Only, Two-Step Sample Allocation with
Second Step Favoring Large FFODs, Oversampling URM, Women, and Panel Cases ...B18
Concluding Remarks ......................................................................................................B-20
File Locations .................................................................................................................B-21

APPENDIX C: 2013 and 2015 SDR Comparison Tables ..................................... C-1
APPENDIX D: 2015 SDR Sample Frame Layout ................................................ D-1
APPENDIX E:

2015 SDR Field of Study Coding Taxonomies Crosswalk ............ E-1

APPENDIX F: Geographic Code Frame Information ........................................... F-1
APPENDIX G: 2015 SDR Frame and Sample Distribution Tables ....................... G-1

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Overview of the 2015 SDR Sample Design

1

Since its inception in 1950, the National Science Foundation (NSF) has been charged to provide a central
clearinghouse for the collection, interpretation and analysis of data on scientific and technical resources in
the United States, and provide a source of information for policy formulation by other federal agencies.
The Survey of Doctorate Recipients (SDR) has been an important means for the NSF to accomplish this
objective. Conducted biennially since 1973, the SDR follows a sample of U.S.-trained doctorates in
science, engineering, and health (SEH) fields throughout their careers, from shortly after degree award
through age 75. The SDR is widely used by the U.S. Congress and Federal agencies, universities and
professional societies, and other organizations and individuals interested in the nation’s education, supply,
and employment of doctorate recipients in SEH fields. Employers in universities, industry, and
government sectors also use the SDR to understand and predict trends in employment opportunities and
salaries for SEH doctorates.
The traditional target population of the SDR includes individuals who meet the following requirements:


Received a doctoral degree in an SEH field from a U.S. institution;



Age 75 years or younger on survey reference date; and



Living in a noninstitutionalized setting on the survey reference date.

The SDR has historically featured a stratified systematic sample design, where the strata are defined by
degree field, gender, race and ethnicity, citizenship, disability status, and other relevant demographic
variables. The SDR sample design has undergone some significant modifications over the years in
response to changes in its analytical objectives and budgetary constraints. For example, the number of
strata has been reduced from over 1,000 in the early cycles to 150 as a result of the 2003 redesign. The
target population of the SDR has also been redefined several times over the life course of the survey. For
example, doctorates awarded in humanities were once part of the target population. Furthermore, prior to
the 2003 survey cycle, the SDR restricted data collection to U.S. residents only. SEH doctorates who
resided outside the U.S. on the survey reference date were excluded from the target population of the
survey.

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In addition to the sample redesign, the 2003 SDR included a methodological experiment which showed
that data collection from international residents is operationally feasible.1 From the 2006 cycle, the SDR
sample consisted of two relatively independent components: the national SDR (NSDR) and the
international SDR (ISDR).2 While the NSDR covers doctorates residing in the U.S., the ISDR targets
those residing outside of the U.S. For the 2010 SDR, the NSF decided to integrate the NSDR and ISDR
to create a unified survey of U.S. trained SEH doctorates regardless of residential location.3 The
integrated sample design developed for the 2010 SDR was maintained for the 2013 SDR.4
The 2013 SDR features a total of 194 strata, including 150 NSDR strata and 44 ISDR strata. The NSDR
strata are defined by degree field, gender, race and ethnicity, citizenship at birth, and disability status; the
ISDR strata are defined by degree field, gender, race and ethnicity, and citizenship at birth. These strata
were defined to align with the analytical domains used in official publications as well as those used by
SDR data users.
The 2015 SDR features a substantial sample size expansion and sample redesign in response to a set of
updated analytical objectives and requirements. The sample size is increased from 40,078 cases in 2013
to 120,000 cases in 2015. The main objective of this expansion is to support reliable estimates of
employment outcomes by the fine field of degree (FFOD) taxonomy used in the Survey of Earned
Doctorates (SED). With the marked increase in the overall sample size, the traditional SDR estimation
capabilities are also expected to increase. As directed by the NSF, the overarching 2015 SDR sample
design objectives are twofold:


First, the expanded SDR is required to produce reliable estimates of employment outcomes by the
fine field of degree taxonomy used in the SED;



Second, the expanded sample is expected to maintain the existing estimation capabilities associated
with analytical domains defined by various demographic characteristics and currently used in
National Center for Science and Engineering Statistics (NCSES) publications such as Science and

1

Grigorian, Karen and Tom Hoffer (2005). Non-U.S. Citizen Undercoverage Feasibility Study Report. Report
submitted to the National Science Foundation by the National Opinion Research Center at the University of
Chicago, Chicago, IL.
2
Cox, Brenda G., Karen Grigorian and Michael Yang (2006). The 2006 International Survey of Doctorate
Recipients (ISDR): Sample Design. Report submitted to the National Science Foundation by Battelle under
subcontract to the National Opinion Research Center at the University of Chicago, IL.
3
Cox, Brenda. G., Karen Grigorian, Fang Wang, and Rebecca Wang (2012b). 2010 Survey of Doctorate
Recipients: Sample Design and Implementation. Report submitted to the National Science Foundation by the
National Opinion Research Center at the University of Chicago, Chicago, IL.
4
Cox, B. G., K. Grigorian, Y.M. Yang, M. Sinclair, 2013. 2013 Survey of Doctorate Recipients: Sample Design and
Implementation. Prepared for the National Science Foundation, January 2013. Chicago, IL: NORC.

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Engineering Indicators , Women, Minorities and People with Disabilities report, and detailed data
tables.
For more detailed discussions of the 2015 SDR sample design objectives, please refer to the attached

document “Requirements of Sample Expansion and Sample Redesign of the Survey of Doctorate
Recipients” and its addendum, both can be found in Appendix A.

The expansion of the SDR, along with its new estimation objectives, required a significant redesign of the
SDR sample. As specified by the NSF, the broad objectives of the SDR redesign include meeting the
newly defined estimation objectives, resolving any longstanding sampling issues to improve efficiency,
creating a more unified sample design which eliminates the NSDR and ISDR distinction, and constructing
a flexible and sustainable design for the growing demands of SDR data.
The NSF and NORC conducted extensive research in order to meet these new requirements. Many design
options were considered, simulated, and reviewed during the course of the research. Appendix B contains
comprehensive discussions of these options. Upon evaluating all these options, the NSF decided to select
a fresh new sample from a new sampling frame constructed from the original Doctorate Record File
(DRF). By so doing, the existing SDR panel will cease to exist after the 2013 cycle and a new panel will
start from the 2015 cycle. The main advantage of a fresh new sample is its unparalleled simplicity as it
eliminates all the sample frame, sample design, and database maintenance complexity accumulated over
the past 40 years under the old design. The drawback of a fresh new sample design, however, is the
interruption of a prominent longitudinal data series.
This report documents the 2015 SDR sample design and selection procedures. Section 2 summarizes the
major sample design changes from the previous cycle. The remaining sections discuss in detail the main
parameters of the 2015 SDR design. Section 3 describes the frame construction process which is
considerably different from the prior cycles because a completely new frame is required under the fresh
new sample approach. Section 4 presents the 2015 SDR sample design, including sample size, sample
stratification, and sample allocation procedures under the new sample design to meet the new analytical
objectives. Section 5 describes the sample selection procedures, including methodical oversampling of
the traditional SDR analysis domains under the new design. Section 6 briefly discusses how the SDR
design will be maintained in 2017 and beyond. Finally, Section 7 provides some concluding remarks
regarding data processing procedures under the 2015 design.

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Sample Design Changes from the 2013 Cycle

2

The changes between the 2013 and 2015 SDR sample designs are substantial. Design changes in a
longitudinal study such as the SDR must be documented so that data users can properly analyze the data
and interpret their findings, especially when they employ SDR data from multiple cycles with different
sample designs. Before presenting the 2015 SDR sample design and implementation in detail, this
section highlights the most significant sample design changes from the 2013 SDR and their implications
for analysts, as follows.


Through the 2013 cycle, the SDR had been a longitudinal survey with a significant panel component.
Well over 90 percent of the previous cycle sample is retained in the current cycle sample. With a
fresh new sample selected from a newly constructed sample frame, the 2015 SDR no longer retains
the previous panel, i.e., no explicit longitudinal panel is automatically carried forward from the 2013
sample. Through oversampling, about one third of the 2013 SDR panel cases is included in the 2015
SDR sample. In general, however, the 2015 sample does not support longitudinal analyses. It
practically represents the starting point of a new panel sample.



The 2015 SDR sample frame is constructed afresh from the most recent version of the DRF. In the
past, the SDR sample frame at each cycle consists of two components: the panel (old cohort frame)
from the previous cycle and the new cohort doctorates awarded after the previous cycle (new cohort
frame). Note that the old cohort frame is a secondary frame because it is a sample itself.
Conceptually, the 2015 SDR frame contains three components: (1) the 2013 SDR sample that remains
eligible for the 2015 SDR (n=45,936); (2) the new cohort cases from the 2012 and 2013 SEDs, and
(3) the 2015 “expansion cohort” (n = 979,526) constructed from the 2013 DRF. The expansion cohort
is made up of the following:
►

Those that were selected into the SDR sample but later dropped from the panel due to ineligibility
discovered during subsequent SDR data collection, including the deceased, no degree earned, and
maintenance cut, i.e., deselection from the sample during the 1995-2013 cycles;



►

Those that were eligible for sample selection but were never selected during the past cycles;

►

Those that had been ineligible for selection based on previous target population definitions.

The 2015 sample size is increased to 120,000 cases from a sample size of 47,078 for the 2013 SDR
cycle.

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

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Instead of defining the sampling strata by degree field and demographics, as had been the case in the
past, the 2015 SDR strata are defined by fine field of degree alone, reflecting the emphasis on the new
analytical objectives at the fine field level.



The 2013 SDR sample allocation is mostly proportional, with additional allocation to small domains
to guarantee a minimum sample size for these domains. The 2015 SDR sample allocation involves a
two-step process to achieve a compromise between the two sets of analytical goals: the first step
allocation to the fine fields is intended to meet the analytical goals at the fine field level; the second
step allocation by the broad field of degree is designed to maintain and improve the existing
analytical capabilities by the traditional analysis domains. The result is a much more disproportional
allocation across the explicit sampling strata. Based on the variation of the base weight, the overall
2015 SDR design effect is 1.59, while the 2013 overall design effect is 1.09.



Under the 2015 design, the traditional analytical capabilities are maintained through oversampling
women and underrepresented minorities (URM). The 2013 panel cases were also oversampled to
support limited longitudinal analysis. For the key traditional SDR domains, a series of tables in
Appendix C compares the coefficient of variation for a typical sample estimate between the 2013 and
2015 SDRs. With rare exceptions, the 2015 SDR is projected to achieve better precision than the
2013 SDR.

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Sample Frame Construction

The 2015 SDR employed a completely new original sample frame constructed from the DRF. This
section discusses the frame construction procedures in detail. The goals of frame construction are
twofold: one is to include all doctorates in the target population so they all have a non-zero probability of
being selected into the sample; the other is to define auxiliary frame variables to support sample design
and survey operations. Subsection 3.1 discusses the identification of frame cases; subsection 3.2
discusses the construction of key frame variables. The layout of the frame file is presented in Appendix
D.
3.1 Identifying Frame Cases
Prior to the current expansion, the SDR sample of each cycle consists of two components: an old cohort
sample and a new cohort sample. While the new cohort sample is selected from the new cohort portion of
the frame, the old cohort sample is selected from the old cohort frame that is composed of the previous
cycle’s sample. That is, the old cohort frame is a so-called secondary frame rather than an original frame
constructed from the DRF. The old cohort frame represents the old cohort population through the base
weight, and the old cohort sample represents the longitudinal panel that gets updated at each cycle
through maintenance cut. Given the sample expansion, however, the 2015 SDR needs to redefine its
sampling frame from the original DRF because a fresh new sample requires a fresh new sampling frame.
The DRF is a database that contains educational information for all doctorate recipients from U.S.
universities since 1920. The DRF is updated annually based on the SED which collects information
annually from all doctorates awarded by U.S. institutions about their educational history, funding sources,
and post-doctoral plans.
The target population for the 2015 SDR remains the same as the previous cycle except for the addition of
the new cohort doctorates awarded in academic years 2012 and 2013. Specifically, it includes individuals
who meet the following requirements regardless of residency location:


Received a doctoral degree in an SEH field from a U.S. institution;



Seventy five years of age or younger on 1 February 2015; and



Living in a noninstitutionalized setting on 1 February 2015.

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The final 2015 SDR sampling frame includes 1,102,985 cases, consisting of six groups of doctorates, as
shown in Table 3.1, based on their historical relationship with the existing SDR design. These six groups
may be combined into three broad categories: the panel, the new cohort, and the expansion cohort, as
described below.

TABLE 3.1 The Six Groups of 2015 SDR Frame
Cohort

Frame
Group

Panel

1
2

Expansion
Cohort

3
4
5

New Cohort

6

Description
2013 SDR sample cases that remain eligible for 2015 SDR
Permanently ineligible cases determined in past cycles of
the SDR accrued since 1973 forward (i.e., deceased, no
degree earned, non-U.S. citizens located abroad 2 cycles in
a row)
Maintenance cut cases removed from the sample during
1995-2013 sample selection (proportionally deselected
regardless of response outcome)
Eligible for primary selection from SED 1960-2011, but not
selected
Not eligible for primary selection from SED 1975-2000 that
are now considered eligible (i.e., new graduates with plans
to leave the U.S. after degree award)
New cohort cases from SED 2012 and 2013
Total

SED
Academic
Years (AY)
1960-2011

Number of
Cases
45,936

1964-2011

2,292

1960-2009

64,532

1959-2011

859,891

1975-2000

52,811

2012-2013

77,523
1,102,985

The panel portion of the frame is identified from the 2013 SDR sample of 47,078 doctorates. Of these
cases, 45,936 meet the target population definition and are included in the 2015 sample frame. There are
893 cases determined to be out of scope for the 2015 frame based on information available in the DRF;
887 cases determined to be out of scope due to age ineligibility and 6 cases classified as double
doctorates. There are an additional 249 cases known to be out of scope for the SDR based on information
available from the 2013 SDR. These 249 cases are transferred to the eligible expansion frame case set
and give a chance at selection. Unlike past cycles, the panel cases on the 2015 frame no longer carry a
base weight; they represent no other cases other than themselves on the frame.
The expansion cohort is constructed from the 2013 DRF. These doctorates are needed on the 2015 frame
because they are no longer represented by the panel cases through the base weight, as it was the case in
prior SDR cycles. The expansion cohort frame consists of four groups of cases:


Permanently ineligible cases (Group 2): These are cases that had been selected into the SDR
sample in a previous cycle but were later dropped from the sample due to ineligibility discovered

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during subsequent SDR cycles. These include the deceased, those with no eligible degree, and nonU.S. citizens located abroad for two consecutive SDR cycles. NSF decided to include these known
ineligible cases on the frame to simplify database maintenance as these cases, if dropped from the
frame, will need to be brought back during post-survey data processing.


Maintenance cut cases (Group 3): These are the cases that have been dropped from the SDR
old cohort sample during 1995-2013 through random subsampling to maintain a stable sample size.
Without such maintenance cut, the SDR sample size would have increased over time due to the
addition of a new cohort sample at each cycle.



Non-selected cases (Group 4): These are doctorates that had been eligible for sample selection
but were never selected into the SDR sample in the previous cycles.



Previously ineligible cases (Group 5): These are doctorates that were not eligible for the SDR
based on previous target population definitions, i.e., new graduates with plans to leave the U.S. after
degree award. These cases are eligible for the 2015 SDR.

The 2015 new cohort frame includes 38,140 cases from the 2012 SED and 39,383 from the 2013 SED.
To ensure that all frame cases in these groups are defined consistently, only data available in the 2013
DRF are used as inputs, with the only exception being that data collected in previous SDR cycles are used
to determine age eligibility.5 The protocols for building the 2015 new cohort frame variables are applied
to all eligible cases in the 2015 SDR sampling frame and are described in Section 3.2.
For each frame component, Table 3.2 shows the frequency of eligible and ineligible cases for all records
in the 2013 DRF. This table accounts for eligible cases as well as cases determined to be ineligible for
inclusion on the 2015 SDR frame. The final 2015 SDR frame contains 1,102,985 cases.

Six cases—5 in the expansion cohort and 1 in the panel—are coded as “age eligible” and included in the 2015
frame based on SDR data although the DRF indicates that they are ineligible.
5

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TABLE 3.2 2015 SDR frame eligibility status for all cases in the 2013 DRF
Sample Frame Component
Expansion
New
2013 Panel*
Cohort
Cohort

2015 SDR Frame Status

Overall

Eligible
00

Frame Eligible

45,936

979,526

77,523

1,102,985

Ineligible
01

Age ineligible

887

222,251

8

223,416

03

Deceased, according to the DRF

0

780

14

794

11

Non-SEH doctoral degree field

0

642,287

26,143

668,430

13b

Double Doc; first SEH doctorate earned before
SED 2012/2013

6

261

49

316

Overall
46,829
1,845,105
103,737
1,995,971
* The 2013 SDR sample included 249 cases determined to be ineligible for the 2015 SDR based on information obtained
during the 2013 survey. Most are known deceased cases. These cases are included in the 2015 SDR eligible frame shown
here in the Expansion cohort case count and are given a chance of selection. If selected, these will be immediately
finalized with an ineligible outcome for the 2015 cycle.

3.2 Construction of frame variables
Frame variables are used to support the sample design, including stratification variables, sorting variables,
and sample selection variables. All frame variables are constructed from DRF data with age as the only
exception. The primary variables used to stratify, sort, or assess eligibility for the 2015 SDR frame are as
follows:


PHDFIELD – doctorate degree field reported in the SED



SDRFLD15 – based on PHDFIELD, aggregated recoding of the doctorate degree field



PHDFY – year of doctorate degree award reported in the DRF



CENTURY – based on PHDFY, the century of doctorate degree award



RACETH15 and RACE15– these are racial group assignment derived from ethnicity and race data
reported in the DRF; the component variables from the DRF are renamed ASIAN15, BLACK15,
HISPANIC15, NATIVE15, PACIFIC15, and WHITE15 in the frame



URM15 – based on RACETH15, underrepresented minority status



BIRCIT15 – citizenship at birth based on data reported in the DRF

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

SEX15 – gender reported in the DRF



LOCSTAT15– predicted residency location based on information provided in the SED at the time of
degree award



AGE15 – age of each frame member relative to the 2015 SDR reference date based on age data
reported in the DRF

When frame variables have missing data in the DRF, they are systematically imputed using a set of
imputation rules. Therefore, constructing the frame variables amounts to imputing missing data on these
variables. Missing data in the following frame variables are imputed: RACETH15, URM15, SEX15,
LOCSTAT15, BIRCIT15, and AGE15. PHDFY and PHDFIELD are key design variables that do not
contain any missing data on the DRF.
The details associated with each of these critical frame variables is described below including the
imputation rules and the amount of missing data for each of the frame variables where applicable.

PHDFIELD and SDRFLD15. PHDFIELD is used to define the 2015 SDR sampling strata, and
SDRFLD15 is used to support sample allocation as well as sample selection. PHDFIELD is never missing
in the DRF, so no imputation is required for this variable. Since SDRFLD15 is derived from PHDFIELD,
no imputation is required for SDRFLD15 either. The NSF required that all PHDFIELDs that represented
fields of degree obtained in the 21st century (i.e. from academic year 2001 and later) be included in the
frame and be used to form sampling strata. There are 36 eligible SEH fine fields of degree that are
recorded in the DRF but were discontinued before academic year 2001. Under the 2015 design, each fine
field of degree is its own sampling stratum, but these “20th century-only” fine fields are grouped together
to form a single composite stratum. These discontinued fields contain a total of 26,825 cases. Table 3.3
details these discontinued fields of degree, displaying their codes, descriptions and period in which
sample-eligible frame members earned degrees in those fields.

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TABLE 3.3 20th Century discontinued fields of studya in 2015 SDR Frame
PHDFIELD
Code
007
032
040
042
045
054
060
065
140
156
171
186
205
219
224
225
235
322
323
354
506
521
545
547
549
554
555
562
563
567
573
575
619
679

Fine field of degree
Years in DRF
Animal Husbandry
1962-1982
Plant Protection/Pest Management
1988-1991
Food Sciences
1969-1989
Food Distribution
1994-1994
Soil Sciences
1968-1988
Fish and Wildlife Science
1964-1982
Wildlife
1983-1988
Forestry Science
1964-1988
Hydrobiology
1964-1979
Microbiology/Bacteriology
1961-1982
Genetics
1961-1982
Animal/Plant Physiology
1960-1960
Dentistry
1968-1968
Public Health/Epidemiology
1966-1982
Hospital Administration
1967-1977
Medical/Surgery
1964-1976
Optometry/Ophthalmology
1966-1966
Electrical Engineering
1961-1985
Electronics Engineering
1961-1983
Naval Architecture/Marine Engineering
1983-1991
Astronomy/Astrophysics
1962-1969
Agricultural/Food
1965-1979
Geophysics, Solid Earth
1962-1976
Fuel Technology/Petroleum Engineering
1967-1979
Mineralogy/Petrology/Geological Chemistry
1963-1969
Applied geology
1969-1991
Applied Geology/Geological Engineering
1965-1968
Electron Physics
1984-1991
Electromagnetism
1961-1979
Mechanics
1961-1976
Thermal Physics
1961-1981
Theoretical Physics
1961-1962
Human Engineering
1966-1966
Political Science/Public Administration
1960-1976
Total of 20th century discontinued fields
Total of 21st century fields
Overall

Number of Cases
565
13
1,720
1
1,284
679
142
1,309
132
4,651
1,918
1
1
973
37
25
1
7,157
1,081
64
147
221
428
70
95
279
18
23
135
50
161
2
1
3,441
26,825
1,076,160
1,102,985

aTwo

additional PHDFIELDS, Textile Engineering (375) and Experimental/Comparative & Physiological Psychology (616) were also
identified as discontinued fields. However, no frame case with these PHDFIELDS was age eligible for selection into the 2015 SDR.

Table 3.4 presents the full distribution of SDRFLD15. Please see the field of study coding taxonomies
crosswalk in Appendix E for the collapse of PHDFIELD into SDRFLD15.

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TABLE 3.4 Frame Distribution of SDRFLD15
SDR Field
Chemistry
Physics/Astronomy
Earth/Ocean/Atmospheric Sciences
Mathematics
Computer/Information Sciences
Agricultural Sciences
Medical Sciences
NIH Biological Sciences
Other Biological Sciences
Psychology
Economics
Anthropology/Archaeology/Sociology
Other Social Sciences
Electrical/Electronics/Communications Engineering
Other Engineering
Overall

Total Cases
91,847
65,215
29,405
55,147
31,530
43,898
49,856
112,094
111,123
148,409
45,983
42,754
64,454
59,871
151,399

2013 Panel
3,726
2,587
1,312
2,234
1,434
1,782
2,357
4,651
4,681
6,030
1,916
2,043
2,710
2,545
5,928

Expansion Cohort
83,212
58,284
26,376
48,971
26,358
39,781
42,648
99,048
97,940
134,603
41,396
38,034
57,251
52,410
133,214

New Cohort
4,909
4,344
1,717
3,942
3,738
2,335
4,851
8,395
8,502
7,776
2,671
2,677
4,493
4,916
12,257

1,102,985

45,936

979,526

77,523

PHDFY and CENTURY. PHDFY represents the academic year (called ‘fiscal year’ in the SED) of
doctoral receipt. This variable is used to define the new cohort. It is also used to construct the CENTURY
indicator as one of the sorting variables to support systematic sample selection. For cases earning a degree
in the 20th century (PHDFY<2001), CENTURY is set to “20”; and those earning their degree in the 21st
century (PHDFY≥2001) are set to “21.” Since 1958, when the SED began to field its annual survey,
PHDFY is never missing. Therefore, PHDFY and CENTURY contain no imputed data. Tables 3.5 and
3.6 illustrate the distribution of these variables in the final frame.

TABLE 3.5 PHDFY Distribution by Cohort
PHDFY
1959-1969
1970-1979
1980-1989
1990-1999
2000-2009
2010-2011
2012-2013
Overall

Survey of Doctorate Recpients

2013
Panel
812
5,322
7,174
10,704
17,690
4,234
0

Expansion
Cohort
24,702
153,116
188,901
259,931
285,296
67,580
0

45,936

979,526

New
Cohort
0
0
0
0
0
0
77,523

Total
Cases
25,514
158,438
196,075
270,635
302,986
71,814
77,523

77,523

1,102,985

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TABLE 3.6 CENTURY Distribution by Cohort
PHDFY
20th century
21st century
Overall

2013
Panel
25,218
20,178

Expansion
Cohort
653,166
326,360

45,936

979,526

New
Cohort
0
77,523

Total
Cases
678,384
424,601

77,523

1,102,985

RACETH15, RACE15 and URM15. RACETH15 represents race and ethnicity, and URM15
represents underrepresented minorities. They are constructed from the separate race/ethnicity variables
ASIAN15, BLACK15, HISPANIC15, NATIVE15, PACIFIC15, and WHITE15 after they are imputed.
RACE15 represents racial group independent of ethnicity and collapses individuals selecting more than
one race as multiracial.
There is a considerable amount of imputation in the 2015 SDR racial variables. Data on race and
ethnicity are entirely missing before 1973 since the SED only started collecting this data with the 1973
cycle. In addition, the racial category of “Native Hawaiian/Pacific Islander” did not exist in the SED until
the 2001 survey. The NSF-approved rules for assigning race and ethnicity are as follows:
1. Use reported data from the SED;
2. When ethnicity is missing, use the U.S. Census Bureau Hispanic surname list and impute

any matches as Hispanic ethnicity (if race is also missing and the surname is Hispanic,
impute the race to white);6
3. When race is missing, and ethnicity is either missing or non-Hispanic, use the GENESYS

Asian surname list7, and logically impute any matches as NH Asian;
4. When ethnicity is still missing, but race is reported, use place of birth to logically impute

ethnicity;
5. When race and ethnicity are both still missing, use place of birth to logically impute race

and ethnicity;

6

The 2015 new cohort cases and 2015 panel cases that joined the panel in the 2013 survey round were updated using
the Hispanic surname list based on the 2000 U.S. Census available as of 2011 located at
http://www.census.gov/genealogy/www/data/2000surnames/index.html. The 2015 panel cases that joined the panel
prior to the 2013 survey round were updated using the Hispanic surname list based on the 1990 U.S. Census.
7
Market Systems Group provides the GENESYS Sampling Systems suite of sampling tools, which includes this
algorithm that matches surnames to an Asian surname list for a nominal fee (http://www.m-sg.com/Web/genesys/index.aspx).

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6. When race and ethnicity are both still missing and place of birth is missing, impute to NH

white.
The crosswalk of birth places to race and ethnicity imputation assignments is located in Appendix F,
Table F2. The sources for race and ethnicity data in the 2015 SDR frame are detailed in Tables 3.7 and
3.9.

TABLE 3.7 Race Data Sources: 2015 SDR Frame
Race Data Source
Self-reported
Surname imputation (Asian)
Birthplace imputation
Hot deck imputation
Default imputation (white)
Overall

Total
Cases
947,363
15,588
95,403
0
44,631

2013
Panel
39,825
549
3,854
0
1,708

Expansion
Cohort
836,286
13,601
90,790
0
38,849

New
Cohort
71,252
1,438
759
0
4,074

1,102,985

45,936

979,526

77,523

After all missing data on race are imputed, the variable RACE15 is created to tabulate race classifications
independent of ethnicity. In cases where one race is identified, the value of RACE15 is assigned to that
race. Otherwise, in cases where self-report indicates more than one race, RACE15 is assigned to ‘6’ for
“more than one race”. The frequencies of RACE15 are shown in Table 3.8 below.

TABLE 3.8 Frame Distribution of RACE15
Ethnicity Data Source
Asian
Black
Native
Pacific
White
More than one race
Overall

Survey of Doctorate Recpients

2013
Panel
11,095
2,605
199
84
31,414
539
45,936

Expansion
Cohort
228,920
29,599
2,646
696
712,301
5,364
979,526

New
Cohort
24,727
3,398
287
112
47,263
1,736
77,523

Total
Cases
264,742
35,602
3,132
892
790,978
7,639
,102,985

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TABLE 3.9 Ethnicity Data Sources: 2015 SDR Frame
Ethnicity Data Source
Self-reported
Surname imputation (Hispanic)
Birthplace imputation
Hot deck imputation
Default imputation (non-Hispanic)
Overall

Total
Cases
962,550
3,552
87,032
0
49,851

2013
Panel
40,837
199
3,221
0
1,679

Expansion
Cohort
850,247
3,068
83,279
0
42,932

New
Cohort
71,466
285
532
0
5,240

1,102,985

45,936

979,526

77,523

RACETH15 is defined in the following hierarchical manner:


If a case is Hispanic or Latino, assign the case to the Hispanic value regardless of race;



If a case is not Hispanic (NH) and is black, assign the case to the NH black regardless of other race
selections;



If a case is not Hispanic or black, and is Asian, assign the case to the NH Asian regardless of other
race selections;



If a case is not Hispanic, black, or Asian, and is American Indian or Alaskan Native, assign the case
to the NH American Indian regardless of other race selections;



If a case is not Hispanic, black, Asian, or American Indian, and is Native Hawaiian or other Pacific
Islander, assign the case to the NH Pacific Islander regardless of other race selections; and



Otherwise, assign the case to NH white.

The distribution of the resulting race/ethnicity group assignments is shown in Table 3.10.

TABLE 3.10 Race/Ethnicity Assignment: 2015 SDR Frame
Race/ethnicity Group
Hispanic
NH-American Indian
NH-Asian
NH-Black
NH-Pacific Islander
NH-White
Overall

Survey of Doctorate Recpients

Total
Cases
46,114
4,157
266,747
36,046
984
748,937

2013 Panel
3,406
246
11,267
2,628
102
28,287

Expansion
Cohort
37,976
3,494
230,139
29,854
748
677,315

New
Cohort
4,732
417
25,341
3,564
134
43,335

1,102,985

45,936

979,526

77,523

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URM15 is defined in the following manner:


If a case is Hispanic or Latino, assign the case to URM regardless of race;



If a case is not Hispanic (NH) and is American Indian, black, or Pacific Islander, or reports more than
one race, assign the case to URM; and



If a case is not Hispanic or not American Indian, black, or Pacific Islander, and is Asian or White,
assign the case to non-URM.

The distribution of the resulting URM15 variable is shown in Table 3.11.

TABLE 3.11 Frame Distribution of Underrepresented Minority (URM15)
URM
Yes
No

Total
Cases
90,355
1,012,630

2013 Panel
6,616
39,320

Expansion
Cohort
74,171
905,355

New Cohort
9,568
67,955

Overall

1,102,985

45,936

979,526

77,523

BIRCIT15. The BIRCIT15 variable indicates the sample member’s citizenship at birth, defined as
either U.S. or non-U.S. For all cases in the frame, this information is obtained from the SED. Cases that
do not have valid information on birth citizenship are imputed to be non-U.S. The sources for birth
citizenship data in the 2015 SDR frame files are detailed in Table 3.12. The distribution of the resulting
birth citizenship variable is shown in Table 3.13.

TABLE 3.12 Citizenship at Birth Sources: 2015 SDR Frame
Citizenship at Birth Data Source
Self-reported in SED
Citizenship imputed from DRF with
BIRTHPL and PDLOC
Default imputation (non-U.S. born)
Overall

Survey of Doctorate Recpients

Total Cases
1,055,996

2013 Panel
44,329

Expansion
Cohort
938,676

New Cohort
72,991

1,117
45,872

32
1,575

1,048
39,802

37
4,495

1,102,985

45,936

979,526

77,523

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TABLE 3.13 Frame Distribution of Citizenship at Birth
Citizenship at Birth Assignment
U.S. born
Not U.S. born
Overall

Total
Cases
656,847
446,138

2013 Panel
27,839
18,097

Expansion
Cohort
589,281
390,245

New
Cohort
39,727
37,796

1,102,985

45,936

979,526

77,523

SEX15. SEX15 is defined from data in the SED. Cases with missing data on sex are imputed to be
female, giving these cases a higher probability of selection. The data sources for the sex variable in the
2015 frame are shown in Table 3.14. The distribution of the resulting sex variable is shown in Table
3.15.

TABLE 3.14 Data Sources for SEX15
Sex Data Source
Self-reported
Default imputation (female)

Total
Cases
1,101,208
1,777

2013 Panel
45,880
56

Expansion
Cohort
977,859
1,667

New
Cohort
77,469
54

Overall

1,102,985

45,936

979,526

77,523

Total
Cases
749,244
353,741

2013 Panel
29,321
16,615

Expansion
Cohort
675,528
303,998

New
Cohort
44,395
33,128

1,102,985

45,936

979,526

77,523

TABLE 3.15 Frame Distribution of SEX15
Sex Assignment
Male
Female
Overall

LOCSTAT15. The LOCSTAT15 variable indicates the last known residence location of the sample
member prior to the 2015 SDR; it is either in the U.S. or out of the U.S. The 2010 SDR was the first
cycle to use this variable.8 In the past two cycles, this variable was used to distinguish between NSDR and
ISDR cases. Under the 2015 SDR design, it is used as one of the sorting variables. For all cases in the

8

For more details about the LOCSTAT variable development for the 2010 SDR and continued for the 2013 and
2015 SDR, see the memoranda “2010 SDR Sample Frame Development Memo #3 – Sample Member Location
Variable” sent to Daniel Foley and Steve Cohen, NSF, on April 23, 2010 from Karen Grigorian, NORC, and Brenda
Cox, SRA, and “2015 SDR Frame Decisions – Frame File Layout” sent to Steve Proudfoot, NSF, on March 28,
2014 from Karen Grigorian and Lance Selfa, NORC.

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2015 frame, LOCSTAT15 is derived from responses to the SED question about planned post-graduation
location. Any cases with no residency data from the SED are imputed to be in the U.S.
The sources for the location data in the 2015 SDR frame files are detailed in Table 3.16. The distribution
of the resulting location variable is shown in Table 3.17.

TABLE 3.16 Location Data Sources: 2015 SDR Frame
Location Data Source
SED
Default imputation (in the U.S.)
Overall

Total Cases
1,064,194
38,791

2013 Panel
44,297
1,639

Expansion
Cohort
948,386
31,140

New Cohort
71,511
6,012

1,102,985

45,936

979,526

77,523

TABLE 3.17 Frame Distribution of LOCSTAT15
Location Assignment
In the U.S.
Out of the U.S.
Overall

Total Cases
987,174
115,811

2013 Panel
40,832
5,104

Expansion
Cohort
877,149
102,377

New Cohort
69,193
8,330

1,102,985

45,936

979,526

77,523

BIRCIT15. The BIRCIT15 variable indicates the sample member’s citizenship at birth, defined as
either U.S. or non-U.S. For all cases in the frame, this information is obtained from the SED. Cases that
do not have valid information on birth citizenship are imputed to be non-U.S. The sources for birth
citizenship data in the 2015 SDR frame files are detailed in Table 3.18. The distribution of the resulting
birth citizenship variable is shown in Table 3.19.

TABLE 3.18 Citizenship at Birth Sources: 2015 SDR Frame
Citizenship at Birth Data Source
Self-reported in SED
Citizenship imputed from DRF with
BIRTHPL and PDLOC
Default imputation (non-U.S. born)
Overall

Survey of Doctorate Recpients

Total Cases

2013 Panel

Expansion
Cohort

New Cohort

1,055,996

44,329

938,676

72,991

1,117
45,872

32
1,575

1,048
39,802

37
4,495

1,102,985

45,936

979,526

77,523

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TABLE 3.19 Frame Distribution of Citizenship at Birth
Citizenship at Birth Assignment
U.S. born
Not U.S. born

Total Cases
656,847
446,138

2013 Panel
27,839
18,097

Expansion
Cohort
589,281
390,245

New Cohort
39,727
37,796

1,102,985

45,936

979,526

77,523

Overall

AGE15. The AGEYR15variable indicates the sample member’s year of birth and is used to create
AGE15 and IAGE15. The primary sources of AGEYR15 are birth year data reported on the SED,
supplemented with birth year information collected from the SDR. Any missing data on AGEYR15 are
imputed from sample members’ bachelor’s degree year, if known, or from their doctorate degree year,
which is known for all sample members. The birth year imputation rules assume that sample members are
18 when they earned their bachelor’s degree, 21 when they earned their doctoral degree. These age
assumptions may not be realistic; they are intended to minimize frame undercoverage which could arise if
we eliminate those doctorates who are missing birth year but have earned a doctoral degree at a young
age. The sources for age in the 2015 SDR frame files are detailed in Table 3.20. The distribution of the
resulting age variable is shown in Table 3.21.

TABLE 3.20 Age Source: 2015 SDR Frame
Age Data Source
Self-reported in SED
BA Year Imputation
PhD Year Imputation
Overall

Survey of Doctorate Recpients

Total Cases
1,051,578
15,875
35,532

2013 Panel
43,833
652
1,451

Expansion
Cohort
935,485
14,022
30,019

New Cohort
72,260
1,201
4,062

1,102,985

45,936

979,526

77,523

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TABLE 3.21 Frame Distribution of Age
Age Assignment
Under 35
35-39
40-44
45-49
50-54
55-59
60-64
65-75

Total Cases
111,950
129,168
123,227
123,076
127,462
121,617
123,245
243,240

2013 Panel
3,445
6,579
6,872
6,063
5,357
4,887
4,545
8,188

Expansion
Cohort
57,776
106,668
110,924
114,770
120,737
115,755
118,140
234,756

New Cohort
50,729
15,921
5,431
2,243
1,368
975
560
296

1,102,985

45,936

979,526

77,523

Overall

HCAPIN15. The disability status variable, HCAPIN15, is not used in the sampling process, but has
been included on the frame and in this reporting section as disability status is important to future reporting
and analysis. The HCAPIN15 variable indicates the sample member’s disability status – either disabled
or not disabled. For all cases in the 2015 sample, the disability information is obtained from the SED,
which has gathered data on disability since 1985. The historical data on disability in the DRF are
recorded in the variable DISABILITY1. Starting with the 2012 cycle, the SED is using the identical
disability question and code frame (summarized in DISABILITY2) as does the SDR. Therefore, defining
disability status for frame cases requires using both DISABILITY1 and DISABILITY2. Cases that never
reported disability status, including those who completed the SED before the disability questions were
introduced to the SED, are imputed to be non-disabled. This imputation means that the proportion of
disabled doctorates in the population should be much higher than known on the frame because the cases
with unknown disability status have been imputed to be not disabled. The sources for disability status in
the 2015 SDR frame files are presented in Table 3.22. The distribution of the resulting disability status
variable is shown in Table 3.23.

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TABLE 3.22 Disability Status Source: 2015 SDR Frame
Disability Status Data Source
Self-reported in SED
Default imputation (not disabled)
Overall

Total Cases
679,405
423,580

2013 Panel
30,631
15,305

Expansion
Cohort
579,270
400,256

New Cohort
69,504
8,019

1,102,985

45,936

979,526

77,523

TABLE 3.23 Frame Distribution of Disability Status
Disability Status Assignment
Disabled
Not disabled
Overall

Survey of Doctorate Recpients

Total Cases
13,866
1,089,119

2013 Panel
559
45,377

Expansion
Cohort
9,220
970,306

New Cohort
4,087
73,436

1,102,985

45,936

979,526

77,523

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SUMMARY OF FRAME VARIABLES DATA SOURCES. Table 3.24 summarizes the data
sources for the key frame variables subject to imputation. These results are shown by variable and by the
three main sample frame components.

TABLE 3.24 Data Sources for Sample Frame Variables Subject to Imputation and/or
Derivation: 2015 SDR Frame
2015 SDR Sample Frame Cases
Sample Frame
Component
2013 Panel

Sample Frame Variable
Race (RACE15)
Ethnicity (HISPANIC15)
Sex (SEX15)
Location (LOCSTAT15)
Citizenship at birth (BIRCIT15)
Disability status (HCAPIN15)
Birth year (AGEYR15)

Reported Values in
the Final Frame
39,825
40,837
45,880
44,297
44,329
30,631
43,828

Imputed from a
Non-default Rule
4,403
3,420
n/a
n/a
32
n/a
2,108

Assigned Default
Imputation
1,708
1,679
56
1,639
1,575
15,305
n/a

Expansion Cohort

Race (RACE15)
Ethnicity (HISPANIC15)
Sex (SEX15)
Location (LOCSTAT15)
Citizenship at birth (BIRCIT15)
Disability status (HCAPIN15)
Birth year (AGEYR15)

836,286
850,247
977,859
948,386
938,676
579,270
935,484

104,391
86,347
n/a
n/a
1,048
n/a
44,042

38,849
42,932
1,667
31,140
39,802
400,256
n/a

New Cohort

Race (RACE15)
Ethnicity (HISPANIC15)
Sex (SEX15)
Location (LOCSTAT15)
Citizenship at birth (BIRCIT15)
Disability status (HCAPIN15)
Birth year (AGEYR15)

71,252
71,466
77,469
71,511
72,991
69,504
72,260

2,197
817
n/a
n/a
37
n/a
5,263

4,074
5,240
54
6,012
4,495
8,019
n/a

Overall

Race (RACE15)
Ethnicity (HISPANIC15)
Sex (SEX15)
Location (LOCSTAT15)
Citizenship at birth (BIRCIT15)
Disability status (HCAPIN15)
Birth year (AGEYR15)

947,363
962,550
1,101,208
1,064,194
1,055,996
679,405
1,051,572

110,991
90,584
n/a
n/a
1,117
n/a
51,413

44,631
49,851
1,777
38,791
45,872
423,580
n/a

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Sample Design

4.1 Precision Requirements
The SDR sample design has undergone several major changes since its inception in 1973, reflecting
changing estimation objectives and budgetary situations. For the past few cycles, the SDR was designed
to produce estimates by various analytical domains defined by aggregated field of degree, gender, race
and ethnicity, citizenship at birth, and disability status. The existing SDR sample stratification and
allocation system reflects these estimation goals. A new significant change to the 2015 SDR design is a
major sample size expansion to support employment outcome estimates by fine field of degree (FFOD).
The sample size of the 2013 SDR is 47,078 cases, while the current expansion calls for a sample size
increase to 120,000 cases for the 2015 SDR.
With the marked increase in the overall sample size, the estimation capability of the 2015 SDR is
expected to increase substantially. To guide the SDR sample redesign, the NSF specified general
requirements regarding the analytical objectives of the 2015 sample. The following comes from the
document “Requirements of Sample Expansion and Sample Redesign of the Survey of Doctorate
Recipients” and its addendum (full text in Appendix A):


Specified precision at FFOD level: Producing employment outcome estimates at the SED fine
field of degree (FFOD) level for the entire SDR eligible population regardless of their residential
location and time of receiving doctorates. The precision is required to be within 5% margin of errors
at the 95% confidence level for important outcomes.9



Maintain precision of key 2013 domains: The overall expanded sample should maintain the
existing 2013 estimation capability at the aggregated degree levels and for domains defined by
various demographic characteristics currently used in NCSES publications. This set of requirements
will be examined by comparing the estimates’ precision levels derived under the proposed designs
and the actual 2013 SDR sample results.

The expansion of the SDR, along with its new estimation objectives, calls for a significant redesign of the
SDR sample. The objectives of the SDR redesign include meeting the newly defined estimation
objectives, resolving any longstanding sampling issues to improve efficiency, creating a unified sample
design for NSDR (National SDR) and ISDR (International SDR), and constructing a flexible and

9

This requirement was later relaxed to a 5% margin of error at the 90% confidence level.

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sustainable design for the growing demands of SDR data. The rest of this section describes design
considerations and the final design chosen for the 2015 SDR sample redesign.
4.2 Design Approaches Considered
This subsection briefly discusses the two broad design approached considered for the 2015 SDR design.
More detailed descriptions of these approaches and design options are presented in Appendix B.
Broadly speaking, the 2015 SDR frame may be thought of as consisting of two overlapping frames.
Frame A, which contains the first four frame groups in Table 3.1, covers the portion of the SDR
population that is represented by the existing 2013 SDR sample, or the panel sample. Frame B
encompasses Frame A as well as the population that is not represented by the panel sample, namely,
frame groups 5 and 6 in Table 3.1, including new cohort doctorates awarded in 2012 and 2013 as well as
those that were excluded from the SDR frame prior to 2000. Therefore, Frame A is completely nested
within frame B which includes all six frame groups in Table 3.1
Under the guidance of NCSES, NORC considered two major design approaches for the 2015 SDR
redesign: dual frame design, and single frame design with a fresh new sample, as discussed below.
Dual Frame Design
The main motivation of the dual frame design is to preserve the existing SDR panel, both to reduce data
collection cost and improve data utility. Under this approach, the 2015 SDR sample would include two
independent and partially overlapping samples: the panel sample (i.e., the existing 2013 SDR sample)
from Frame A and an independent expansion sample from Frame B. For estimation, these two samples
would be combined through a dual frame method to derive the overall 2015 estimates.
Let’s designate the existing panel sample from Frame A as sample

a

and the new expansion sample to

be selected from Frame B sample b . The two samples would be first be weighted separately according to
their respective sample design, generating two sets of sampling weights

w(aj )

and

w(bj )

. Then a single set

of weights would be created for the combined sample through a combining factor. For a sample member j
selected into either sample, its sampling weight will be calculated as

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w(jb ) , if j  sample b and not frame A
 (a)
w j , if j  sample a and frame A
wj  
(b )
1   w j , if j  sample b and frame A
 (a)
(b )
w j  1   w j , if j  both sample a and sample b and frame A

The first category includes cases that are in Frame B but not in Frame A, representing the nonoverlapping portion of the frame. For this portion of the population, the estimate will be based only on a
subset of sample b . The other three categories include samples from the overlapping portion of the
population. For this portion of the population, there are two estimates, one based on sample

a and the

other based on a subset of sample b .
The combining factor

 is defined as


In this expression,
b
neff

a
neff

(a)
neff
(a)
(b )
neff
 neff

is the effective sample size associated with sample

a selected from Frame A; and

is the effective sample size associated with sample b selected from Frame A. The effective sample

size is the expected number of complete surveys divided by the design effect due to unequal weighting.
With a single set of weights defined, the usual Horvitz-Thompson estimator can be used to derive point
estimates after proper adjustments for eligibility, nonresponse, and frame coverage.

Under this dual frame estimation approach, the effective sample size from sample a
each fine field. Therefore, sample size determination is to estimate

(b )
neff

such that

(a )
neff

, is known for

1.96 * V ( pˆ )  .05

(b )

n
when estimating a population proportion P for a fine field. The quantity eff can then be converted to a
nominal sample size based on the design effect and expected completion rate.

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Single Frame with a Fresh New Sample

Under this design approach, a fresh new sample would be selected from Frame B, and the
existence of the panel sample has no bearing on the 2015 SDR design. The sample will be
stratified by FFOD only. Sample allocation to the strata is determined to balance the competing
estimation goals discussed earlier. For a sample member j , its sampling weight will be

wj 

where

pj

1
pj

is the inclusion probability under the sample design. The Horvitz-Thompson estimator can be

used to derive point estimates after proper adjustments for eligibility, nonresponse, and frame coverage.
4.3 Sample Allocation
We now discuss the Fresh New Sample approach that the NSF decided to adopt. Under this approach, the
SDR sample is stratified by FFOD to 216 sampling strata, including the discontinued 20th century fields
strata. As discussed below, the sample of 120,000 cases is allocated to the strata in two steps. The twostep allocation is implemented to achieve a balance between satisfying the fine field level estimation
requirement and maintaining the existing estimation capabilities of the SDR with regard to the key
analytical domains under the prior design. In particular, the second step is intended to improve the
representation of the population by the 15-category aggregate degree fields.10 This measure is
implemented because, after step one, aggregate fields with a large population but consisting of a small
number of fine fields (e.g., Computer/Information Sciences) are underrepresented, while aggregate fields
with a small population but consisting of a large number of fine fields (e.g., Agricultural Sciences) are
overrepresented. The objective of the two step allocation is to make the representation of aggregate
degree fields more proportional to the population.
NSF decided to allocate 1,000 cases to the stratum that represents the discontinued fields. The remaining
119,000 cases are allocated to the other 215 strata as described in Steps 1 and 2 below.

10

The 15 categories are: Chemistry, Physics/Astronomy, Earth/Ocean/Atmospheric Sciences, Mathematics,
Computer/Information Science, Agricultural Sciences, Medical Sciences, NIH Biological Sciences, Other Biological Sciences,
Psychology, Economics, Anthropology/Archeology/Sociology, Other Social Sciences, Electrical/Electronics/Communications,
and Other engineering.

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Step 1
The first step features an equal allocation to each stratum. For a population proportion centered at 50
percent, the first step allocation is designed to achieve a 5 percent margin of error (MOE) with 90%
confidence. The following summarizes how the first step allocation is derived.


Assume that the population proportion is 𝑃̂ = 0.50 to derive the most conservative sample size
estimate;



2

𝑍90
The number of complete surveys needed per stratum is 𝑛𝑐𝑜𝑚𝑝𝑙𝑒𝑡𝑒𝑑 = (𝑃̂ ∗ (1 − 𝑃̂)) ∗ (𝑀𝑂𝐸
) , where

Z90 is the critical value of the standard normal distribution for a 2-tailed test at a 90% confidence level
(approximately 1.645), and MOE = 5%


Assume that the completion rate is 70%, the number of cases to sample per stratum is 𝑛𝑠𝑎𝑚𝑝𝑙𝑒𝑑 =
𝑛𝑐𝑜𝑚𝑝𝑙𝑒𝑡𝑒𝑑
0.70



In strata where the allocated sample size exceeds the number of cases on the frame, the stratum
sample size is set to equal to the frame size, 𝑛1𝐹𝐹𝑂𝐷 = min(𝑁𝐹𝐹𝑂𝐷 , 𝑛𝑠𝑎𝑚𝑝𝑙𝑒𝑑 ), where 𝑁𝐹𝐹𝑂𝐷 = Total
frame size for the FFOD



The total sample allocated in step one is 𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝1 = ∑𝐹𝐹𝑂𝐷 𝑛1𝐹𝐹𝑂𝐷

The nominal sample size allocated to each stratum is 387, which will produce 271 complete surveys with
an expected completion rate of 70%, enough to satisfy the stratum level precision requirements. Note that
the finite population correction factor (FPC) is not incorporated in the sample size estimation described
above. When sampling from a finite population, the variance of the mean is reduced by a factor
( N  n) / N , called FPC, where N is the population size and

n is the sample size. For sample size

estimation, the application of the FPC helps to reduce the sample size necessary to meet the specified
precision requirement. To be conservative, NCSES and NORC decided not to apply the FPC when
estimating the sample size per stratum. The effect of ignoring the FPC is to overestimate the standard
error of the mean; but it offers additional insurance in case the completion rate is lower than expected.
For fine fields with less than 387 cases in the frame, all frame cases are included in the sample. A total of
77,965 cases, or 65 percent of the total sample, are allocated in the first step. The first step allocation
represents the minimum allocation to each stratum and assures that the final sample will achieve the
required level of precision at the fine field level.

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Step 2
The second step allocates the remaining 35 percent of the sample proportionately to the 15 SDR broad
field categories, as represented by the design variable SDRFLD15. This second step allocation is designed
to allocate the balance of the sample in such a way as to minimize the variation in sampling weights for
the full sample, given the first step allocation. The second step allocation is carried out as follows:


First, calculate the expected proportional allocation to the 15 broad field categories based on the
overall frame distribution across the 15 broad fields. The fine fields within the discontinued 20th
century fields stratum also participate in this calculation. The expected proportional allocation to each
broad field of degree (BFOD) is: 𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛𝐵𝐹𝑂𝐷 = 𝑇𝑜𝑡𝑎𝑙_𝑆𝑎𝑚𝑝𝑙𝑒 ∗

𝑁𝐵𝐹𝑂𝐷
,
𝑁

where

𝑁𝐵𝐹𝑂𝐷 is the total number of frame cases per broad field.


Second, subtract the total first step allocation for each broad field from the expected allocation to get
the second step allocation per broad field category. For those broad field categories (Agricultural
Sciences and Earth/Ocean/Atmospheric Sciences) that have already exceeded the expected allocation
after the first step allocation, allocate 0 cases in the second step. If the step one allocation per broad
field is 𝑆𝑡𝑒𝑝1𝐵𝐹𝑂𝐷 = ∑𝐹𝐹𝑂𝐷∈𝐵𝐹𝑂𝐷 𝑛1𝐹𝐹𝑂𝐷 , then the step two allocation to each broad field is



𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑎𝐵𝐹𝑂𝐷 = max(0, 𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛𝐵𝐹𝑂𝐷 − 𝑆𝑡𝑒𝑝1𝐵𝐹𝑂𝐷 ) . The step two
allocation to the broad field is then adjusted to reflect the fact that two broad fields would not receive
additional allocation in step two. The adjusted step two allocation to the broad field
is: 𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑏𝐵𝐹𝑂𝐷 = 𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑎𝐵𝐹𝑂𝐷 ∗

𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝2
,
𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑎

where

𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝2 = 119,000 − 𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝1, and 𝑇𝑜𝑡𝑎𝑙_𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑎 =
∑ 𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑎𝐵𝐹𝑂𝐷


Third, within each broad field category, proportionately allocate the second step allocation to each
fine field stratum based on the frame count per fine field stratum11. This allocation is calculated as
𝑛2𝐹𝐹𝑂𝐷 = 𝑆𝑡𝑒𝑝2_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛_𝑏𝐵𝐹𝑂𝐷 ∗ (∑

𝑁𝐹𝐹𝑂𝐷

𝐹𝐹𝑂𝐷∈𝐵𝐹𝑂𝐷 𝑁𝐹𝐹𝑂𝐷



)

The final allocation to each fine field stratum is the sum of step one and step two allocations or the
frame size if the sum exceeds the frame size, i.e., 𝐹𝑖𝑛𝑎𝑙_𝐴𝑙𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛𝐹𝐹𝑂𝐷 = min(𝑁𝐹𝐹𝑂𝐷 , 𝑛1𝐹𝐹𝑂𝐷 +
𝑛2𝐹𝐹𝑂𝐷 )

11

The fine fields that make up the discontinued fields stratum do not receive any allocation.

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When a fine field does not have enough cases to support the final allocation, the total allocation is equal
to the frame total. In that situation, the shortage is allocated to the discontinued field stratum. For this
reason, the final allocation to the discontinued stratum is slightly over 1,000. In the final allocation, a total
of 118,916 cases are allocated to the 215 fine field strata, with the remaining 1,084 cases allocated to the
216th stratum representing the 20th century discontinued fields. Appendix Table G.1 shows the step one,
step two, and total allocation by 2015 sampling stratum. For comparison, Appendix Table G.2 shows the
total sample allocation by 2013 sampling stratum.

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| SDR 2015 Sample Design and Implementation Report

Sample Selection

Within each of the 216 strata, a random sample is selected systematically with probability proportionate
to size (PPS). PPS sampling is adopted as a vehicle to oversample underrepresented racial and ethnic
minorities (URM), women, and the 2013 panel cases. Oversampling of URM and women allows the
sample to sustain the estimation capabilities under the prior SDR design. The addition of a panel
oversample maintains the simplicity of a fresh new sample, but allows for limited longitudinal analysis
using earlier waves of the SDR. The oversampling is achieved by assigning a measure of size to each
frame member and then selecting the sample systematically with PPS within each stratum. Each frame
case is assigned a measure of size (MOS), as follows:


Male URM: 2.0



Female URM: 2.5



Female non-URM: 1.5



Panel cases, regardless of gender or URM status: 5.0



All other cases: 1.0

p  nh * MOSi /
Under PPS sampling, the selection probability for a case i in stratum h is hi

 MOS ,
i

where nh is the stratum sample size, MOSi is the measure of size for case i , and the summation is over
all frame cases within a stratum. For cases with large MOS, the selection probability may be equal to or
greater than 1. Such cases are identified first because they would be selected with certainty into the
sample. For each stratum, the certainty cases are identified as follows:
1. Sort the frame cases in descending order by MOS;
2. Sum MOS across all frame cases to get the total MOS Total_MOS;
3. Denote the total allocated sample size as Total_Allocated ;
4. Carry out the following procedures, starting at the top of the sorted frame

a. If MOS ≥ (Total_MOS/Total_Allocated) then this case is a certainty selection:
i. Set sampling weight = 1;
ii. Move the case to a separate file that contains all certainty cases;

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iii. Recompute Total_MOS = Total_MOS – MOS;
iv. Recompute Total_Allocated = Total_Allocated – 1;
v. Return to 4.a to evaluate the next case on the sorted frame.
b. If MOS < (Total_MOS/Total_Allocated) then this case and all cases following this
case are not certainty cases
i. All non-certainty cases constitute the frame for systematic PPS sampling;
ii. The final sample consists of the certainty cases and those selected from the rest
of the frame through systematic PPS sampling.
Before systematic sampling, the frame is sorted by the following variables to impose an implicit
stratification within each stratum. The sorting variables are:


CENTURY



RACETH15



BIRCIT15



SEX15



LOCSTAT15



SDRFLD15



PHDFY

The purpose of implicit stratification is to improve the representation of the sample with respect to the
sorting variables. Note that sorting by SDRFLD15 (the 15 broad fields) is only effective in the
discontinued stratum because all the other strata represent a single field. The purpose of sorting by
SDRFLD15 within the discontinued fields is to ensure a proportional representation of the broad fields
within the discontinued stratum.
With the certainty cases set aside, the SAS procedure PROC SURVEYSELECT is used to carry out the
systematic sampling within each stratum. Systematic sampling selects cases at a fixed interval throughout
the stratum after a random start. PROC SURVEYSELECT uses a fractional sampling interval to provide
exactly the specified sample size. The interval within a stratum is
(selections) for a case is

𝑛∗ 𝑀𝑂𝑆𝑖
.
∑ 𝑀𝑂𝑆𝑖

∑ 𝑀𝑂𝑆𝑖
𝑛

. The expected number of hits

The sampling weight is the inverse of the expected number of hits. The

final sample includes all the certainty cases and those selected through PROC SURVEYSELECT.

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Subsequent to selection, the selected sample along with the quality assurance procedures were sent to the
NSF for review and approval.12

12

See the memo sent to Emilda Rivers and Steve Proudfoot at the NSF from Michael Yang, Lance Selfa, and Karen
Grigorian at NORC entitled “2015 SDR – Sample Selection Quality Control Procedures and Results” issued on 16
February 2015 as well as the sample review tables in the attachment file named ” 2015 SDR Expansion Sample
Allocation and Review Tables.zip.”

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6.

| SDR 2015 Sample Design and Implementation Report

SDR 2017 and Beyond

The NSF adopted the fresh new sample approach to meet new estimation goals, to simplify the sample
design and estimation procedures, and to resolve longstanding frame and sampling issues accumulated
over time. With a fresh new sample, the 2015 SDR represents a significant turning point in the hitherto
longitudinal sample design dating back to 1973. Although the SDR sample has undergone several major
redesigns, for the first time since the 1975 SDR, the new sample does not include a substantial panel
component. Instead, the 2015 SDR is expected to be the starting point of a new longitudinal data series.
The NSF has not yet provided any guidelines for the 2017 SDR sample design, but it is most likely that
the 2015 SDR sample will form the sampling frame for the old cohort sample for 2017 while a new
cohort sample will be selected from the new cohort frame consisting of SEH doctorates awarded in 2014
and 2015 academic years. Unless the analytical objectives change, we expect the 2017 SDR to follow the
same stratification scheme and sample collection procedures.
Assuming that the 2017 SDR sample size will be kept at the current level, a maintenance cut to the old
cohort sample will be necessary while adding a new cohort sample. To preserve the oversampling of
URM, women, and the 2013 panel cases, we expect the 2017 SDR old cohort sample to be a
straightforward equal probability random sample within each stratum. Like the 2015 SDR, the 2017 new
cohort sample will be stratified by FFOD, and the sample allocation will be guided by the analytical
objectives specified by the NSF. If the analytical objectives stay the same, for example, the 2015
allocation procedures may be adapted to allocate the 2017 new cohort sample.

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| SDR 2015 Sample Design and Implementation Report

Concluding Remarks

The current SDR sample redesign may have significant implications for post-survey data processing
procedures such as weighting adjustment, missing data imputation, and variance estimation. We conclude
this report by discussing these likely implications. Additional research will be needed to modify these
procedures if they turn out to be necessary.
Starting from the 2010 cycle, the SDR has moved from the traditional weighting class method to the
model-based propensity score method for noncontact and nonresponse weighting adjustments. A
propensity score is predicted from a logistic regression model for both eligibility determination and
interview cooperation; these scores are then used, either directly or indirectly, to adjust the original
sampling weight to compensate for noncontact and nonresponse prior to a final poststratification
adjustment. Given the changes to the sample design, the 2015 noncontact and nonresponse models are
likely to be different from the models of the prior rounds. For example, additional predictor variables may
need to be included to capture the noncontact and nonresponse pattern associated with the expansion
cohort cases that appear in the SDR sample for the first time. Furthermore, with the newly defined
estimation goals, the poststratification procedures may also need to be revamped to match the poststrata
with analysis domains. For example, it may be necessary to define the poststrata by fine field of degree,
among other key factors.
The SDR conducts extensive missing data imputation, using basically the same set of imputation
procedures in the past few cycles. With the sample redesign, these imputation procedures may need to be
adapted to the 2015 SDR. For example, many variables are imputed through multivariate regression
models; these models may need to be updated to reflect the new sampling frame and relevant features of
the sample design. The sorting variables under hot deck imputation may also need to be updated by new
variables and new models.
The SDR has used a replication method for variance estimation to account for its complex design features
that cannot be adequately captured with the Taylor Series linearization method. The current successive
difference replication method (SDRM) is designed for systematic samples where implicit stratification
puts similar cases close to each other on the sampling frame. Under the existing strategy initially
developed by the Census Bureau, the replicates are formed as if a systematic sample is selected from a
single large stratum. While this method may effectively account for the reduction in variance resulting

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from implicit stratification within the explicit strata, it may not account for the impact of explicit
stratification on the sampling variance. NORC has proposed to the NSF to explore alternative variance
estimation approaches to improve potentially both statistical and cost efficiency. With the 2015 sample
redesign, it may be a good time to revisit the current procedures. For example, we would like to compare
the SDRM with a simpler and more efficient procedure based on a Taylor Series or Jackknife method. In
case the SDRM does not lead to noticeable reduction in the variances, the Taylor series or Jackknife
methods would make more efficient alternatives.
In addition to SDRM replicate weights, the SDR also provides estimated Generalized Variance Functions
(GVFs) for a set of key NSDR and ISDR domains. The GVFs are valuable because they provide a
mechanism for data users to compute the variance of estimates not directly provided by the SDR. With
the sample redesign, it may be necessary to redefine the GVF definitions so that they match with key
analysis domains.

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Appendices removed

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