Table 1. Components of MMP analysis weights.

COMPONENT	FORMULA	COMMENT
DESIGN WEIGHTING STAGE
Design weight	${\widehat{W}}_{\text{0}\text{j}}=\{\begin{array}{cc}\frac{\text{1}}{{\text{P}}_j}& \text{Project}\text{areas}\\ \frac{\text{1}}{{\text{P}}_i{\text{P}}_j}& \text{National}\hfill \end{array}$	For individual j sampled with probability Pj. National weights additionally incorporate first-stage sampling of state i with probability Pi.
Multiplicity adjustment	${\widehat{W}}_{\text{1j}}=\{\begin{array}{cc}\frac{{\widehat{W}}_{0j}}{2}& \text{if}\text{sampled}\text{more}\text{than}\text{once}\\ {\widehat{W}}_{0j}& \text{if}\text{sampled}\text{only}\text{once}\hfill \end{array}$
NONRESPONSE ADJUSTMENT STAGE
Overall nonresponse weight adjustment factor	$W_{2jk}=\frac{{\sum }_{j\mathrm{ԑ}A}{\widehat{W}}_{1jk}}{{\sum }_{j\mathrm{ԑ}R}{\widehat{W}}_{1jk}}$	Adjustments made within nonresponse classes k, which vary by area as well as nationally. A is all eligible sampled persons; R is respondents only.
Overall nonresponse adjusted weight	${\widehat{W}}_{\text{2j}}={{\widehat{W}}_{\text{1j}}W}_{2j}$
POST-STRATIFICATION AND TRIMMING STAGE
Initial post-stratification factor	$W_{3jh}=\frac{T_h}{\sum _{jԑR}{\widehat{W}}_{2jh}}$	Adjustments made within cells h defined by gender, race/ethnicity, and age, by area and nationally. T is the number of eligible persons on the delayed frame; R is respondents only.
Post-stratified weight	${\widehat{W}}_{\text{3j}}={{\widehat{W}}_{\text{2j}}W}_{3j}$
Trimmed weight	${\widehat{W}}_{4j}=\{\begin{array}{ll}\text{Median}{\widehat{W}}_{3j}+4\left(\text{IQR}\right)& \text{if}{\widehat{W}}_{3j}>\text{Median}{\widehat{W}}_{3j}+4\left(\text{IQR}\right)\\ {\widehat{W}}_{3j}& \text{if}{\widehat{W}}_{3j}\le \text{Median}{\widehat{W}}_{3j}+4\left(\text{IQR}\right)\end{array}$
Final post-stratification factor	$W_{5jh}=\frac{T_h}{{{\displaystyle \sum }}_{j\epsilon R}{\widehat{W}}_{4jh}}$	Within cells h defined by sex, race/ethnicity, and age, by area and nationally.
FINAL WEIGHT STAGE
	${\widehat{W}}_{\text{5}j}={{\widehat{W}}_{\text{4j}}W}_{5j}$