V. Integrated Weight for the Pooled CPES Data Set
Casespecific population weights had been developed for each CPES component survey (Kessler et al., 2004; Heeringa, 2004; Heeringa et al., 2005). Each project had carefully developed and refined its weight vector to enable robust probability sampling inference ("designbased") to its chosen survey population. NCSR was unique among the three component studies in that it required two final analysis weightsone weight for the full sample of cases who participated in the Part 1 interview and a second for the subsample of cases that also completed Part 2 of the NCSR. Consequently, the CPES combined data set also has two analysis weightsthe first for analysis of common data items and the second for analysis of survey items that NCSR only administered to Part 2 respondents.
The integrated weight development began with the existing final population weights for the NCSR, NSAL, and NLAAS. The integrated weight development then proceeded according to the following steps:
Step 1. Each NLAAS, NSAL, and NCSR case was assigned to a race/ancestry category based on the categories and priority order provided in Table 1 (see Section III).
Step 2. Each NLAAS, NSAL, and NCSR area segment was assigned to a geographic domain based on the definitions and priority order shown in Table 2 (see Section IV). Each NLAAS, NSAL, and NCSR respondent was assigned to a geographic domain based on its area segment classification.
Step 3. The final population weight values for the three data sets were obtained from the NLAAS, NSAL, and NCSR investigators. Since the final NCSR and NSAL weights had been "centered" or "normalized" (mean weight=1.0), they were restored to the original U.S. population scaling based on weighted totals from the March 2002 demographic supplement of the Current Population Survey ( CPS).
Step 4. Notation: each case in the CPES pooled data set was indexed as follows:
Table 3. Subscript notation for weight integration expressions  

Index Subscript  Values  Representing 
i  1,...,n  Individual sample case subscript 
j  1,2,3  Study index, 1=NCSR; 2=NSAL, 3=NLAAS 
k  111  Population index (Table 1), collapsing White, Other 
l  111  Domain index (Table 2) 
Step 5. From the pooled data set, EXCEL spreadsheets were used to compute the sums of nominal cases for each study by race/ancestry population by geographic domain cell. These counts were then aggregated across the three studies to produce CPES pooled case counts for each population x domain cell:
Step 6. The March 2002 CPS data enabled estimation of poststratification control totals for each race/ancestry group, k=1,...,11; however, it did not provide the geographic detail needed to allocate the population total to the l=1,...,11 geographic domains. For this purpose, the weighted population distribution from the CPES study with the most robust estimates of geographic distribution was used. NLAAS was chosen as the basis for allocating the Asian and Hispanic populations to the 11 sample geographic domains. NSAL weighted sample distributions were used to apportion the AfricanAmerican and AfroCaribbean populations to the geographic domains. White and Other population totals were allocated to geographic domains based on the empirical distribution of weights in the NCSR.
where:
= the CPES control total for race/ethnicity population k and domain l,
= the original studyspecific weight for case i, study,
= the CPES study chosen to estimate the domain allocation for population k, and
= the March 2002 CPS population estimate for race/ethnicity category k.
Table 4 provides the final population controls for the race/ethnicity x domains cells of the CPES weight computation array.
Step 7: The original population weights from each study were poststratified to the common race/ethnicity x domain population control totals derived from the March 2002 CPS (see Step 6 and Table 4).
where:
= the study specific weight adjusted to 2002 CPS population totals,
= the original studyspecific population weight for case i, study j,
= the 2002 CPS estimate for race/ethnicity population k allocated to domain l.
Since the original studyspecific weights for the major populations of interest had already included some form of populationbased control, this rescaling to a common poststratification standard did not require major adjustments.
Step 8. Since in Step 7 the individual studyspecific weights were controlled to exact counts for each race/ancestry x geographic domain cell, the remaining step involved rescaling the studyspecific weights to reflect the proportion of nominal cases that each study contributed to the cell in the pooled data set.
where:
= the CPES population weight for case i;
= the standard population weight for case i, study j, (assigned to population k and domain l).
Conditional on the assigned population (k) and domain classification (l), this rescaling provided a "proportionate to sample size" contribution from each study. It linearly rescaled the weights for each individual study. It did not alter the distribution of the studyspecific population weights except to reduce the study specific mean by n+jkl/n++kl and the variance of the study weights (not relvariance) by a factor of (n+jkl/n++kl)2.
Table 4: Standardized Population Control Totals for CPES Weights Based on March 2002 Current Population Survey (Part 1 of 2)  

Race/Ancestry Population Group 
Sample Frame Geographic Domain  
CUBAN >5% 
VIET <5% 
FILIP >5% 
PUERTO RICAN >5% 
CHINESE >5% 
AFROCARIB (see text) 

VIETNAMESE  2480  383349  38422  41222  55101  0 
FILIPINO  9950  94392  289714  10579  25166  0 
CHINESE  48732  54578  240247  132608  541553  0 
OTHER ASIAN  35654  19422  221116  6934  247125  0 
CUBAN  103587  3643  5000  10334  5000  6447 
PUERTO RICAN  48478  19246  39505  1009335  19457  78449 
MEXICAN  3750  287255  70701  509666  69584  0 
OTHER HISPANIC  202542  110127  24934  1109915  164478  111795 
AFROCARIBBEAN  3687  2500  1250  126246  0  577382 
AFRICAMERICAN  102567  68475  242531  1571404  27500  62549 
WHITE AND OTHER  1086796  739518  1210972  2026304  2191741  1250 
Total  1648223  1782505  2384392  6554547  3346705  837872 
Table 4: Standardized Population Control Totals for CPES Weights Based on March 2002 Current Population Survey (Part 2 of 2)  

Race/Ancestry Population Group 
Sample Frame Geographic Domain  
AFRIAMER 60100% 
AFRIAMER 3059.9% 
AFRIAMER 1029.9% 
AFRIAMER 09.9% 
HAWAII  Total  
VIETNAMESE  24555  4348  179945  437448  3403  1170273 
FILIPINO  11442  27032  389766  674184  421617  1953842 
CHINESE  10720  50153  255197  1039660  223468  2596916 
OTHER ASIAN  44172  53381  592307  1749290  360977  3330378 
CUBAN  16347  11412  149585  805628  0  1116983 
PUERTO RICAN  68727  3229  374734  536439  37466  2235065 
MEXICAN  282346  67944  2942722  11529509  0  15763477 
OTHER HISPANIC  165520  203503  759917  2592100  2945  5447776 
AFROCARIBBEAN  288119  220638  198343  12119  0  1430284 
AFRICAMERICAN  10596921  5110387  3545866  721516  0  22049716 
WHITE AND OTHER  1943090  6258727  18867372  118404822  0  152730592 
Total  13451959  12010754  28255754  138502715  1049876  209825302 