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Pushing Forward from BHR through Random Individual- Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research Conference November 7, 2013

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Abt Associates | pg 2 Strengthen multi-level explanatory model using three-way random assignment of individuals in a subset of sites (e.g., Health Profession Opportunity Grants evaluation) _______________________________________ 1. Omitted variable bias in BHR 2. How third experimental arm removes bias for the randomized element 3. How third experimental arm reduces bias for BHR- style cross-site comparisons 4. Implications / next steps Goal and Outline

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Page 1: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study

Stephen H. Bell

APPAM Research Conference

November 7, 2013

Page 2: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 2

Levels and Mechanisms of Program Variation in an RCT Context

MECHANISMLEVEL Random NaturalSite Cluster randomization

Multi-level estimationMulti-level explanatory models (e.g., BHR)

Individual Three-way within-site randomizationStandard experiment-al estimation

Analysis of symmetrically predicted endogenous subgroups (ASPES; Peck, 2003; Bell & Peck, 2013)

Page 3: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 3

Strengthen multi-level explanatory model using three-way random assignment of individuals in a subset of sites (e.g., Health Profession Opportunity Grants evaluation)

_______________________________________

1. Omitted variable bias in BHR

2. How third experimental arm removes bias for the randomized element

3. How third experimental arm reduces bias for BHR-style cross-site comparisons

4. Implications / next steps

Goal and Outline

Page 4: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 4

HPOG and Its Impact Evaluation

Career Pathways framework-based training for TANF and low-income individuals to pursue healthcare sector careers

HPOG-Impact is part of a rich research “portfolio” at ACF

Impact Evaluation involves an experimental design, with randomization of eligibles to control and treatment groups, with randomization to enhanced treatment in some locations

Page 5: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 5

Study Sample and Data Collection

Sample size– Individuals: about 10,500 overall: 7,000 T; 3,500 C– Study sites: 38 study sites programs across 20 grantees– Planned variation sample (TBD)

• Peer support • Emergency financial assistance • Non-cash incentives

Data collection– At baseline (before RA), from PRS & supplement – Quarterly wage data (NDNH)– Follow-up surveys at 15 months post-randomization– Implementation study site visits– Grantee, staff/management and other surveys

Page 6: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 6

T

Estimating this model gives , . . . , as non-experimental estimates of the influence on impact magnitude of the P program features

Two-Level Model of Site-Level Determinants of Intervention Impacts

Page 7: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 7

What if there is an omitted site-level factor, , that

• Influences impact magnitudes

• Is not included in nor in site level covariates

• Correlates with one or more ?

Plug formula for ) into equation:

Omission of biases wherever Cov(

Omitted-Variable Bias Concern

Page 8: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 8

= + + +

where = 1 if person i in site j is assigned to the basic intervention (T1)

= 0 otherwise (T2, C)

and = 1 if person i in site j is assigned to the enhanced intervention (T2)

= 0 otherwise (T1, C)

= +

Two-Level Model with Three-Arm Random Assignment

Page 9: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 9

Add and subtract to expression for :

+ ( + ) + ( - ) +

This replaces with

)

which, unlike, does not depend on F no omitted variable bias on estimate of incremental impact of the enhancement

How the Third Arm Removes Bias

Page 10: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 10

bias

Bias is smaller when and – the site-comparison-based non-experimental (BHR) estimate and the within-site experimental estimate – for the randomized element are closer together

Tweak the model – especially the impact equations – to reduce - reduces all bias

All estimates are distorted by the same F factor “whittle down” this distortion for one and do so for all

Using the Experimental Evidence to REDUCE the Bias Risk in Non-Experimental Estimates

𝜋𝓂∧𝑆 𝜋𝑒∧𝑆 𝜋𝑒∧𝑋

Page 11: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 11

A) Vary as many individual program features as possible through 3-arm random assignment within sites (e.g., HPOG)

B) Better yet . . .

– get many dozens of sites

– randomize program features across sites

Use A to approximate B by adding lots of natural variation sites to a small number of three-arm random assignment sites

______________________________________

Next: Determine statistical power of the design for HPOG Impact

Then: Determine whether site-focused methods can support / enhance individual-focused methods like ASPES . . . or vice versa

Implications for Design / Extensions

Page 12: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Abt Associates | pg 12

Levels and Mechanisms of Program Variation in an RCT Context

MECHANISMLEVEL Random NaturalSite Cluster randomization

Multi-level estimationMulti-level explanatory models (e.g., BHR)

Individual Three-way within-site randomizationStandard experiment-al estimation

Analysis of symmetrically predicted endogenous subgroups (ASPES; Peck, 2003, Bell & Peck, 2013)

Page 13: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research
Page 14: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Further Information

Molly IrwinFederal Project Officer, HPOG HHS/ACF/[email protected]

Stephen BellPrincipal ScientistAbt Associates [email protected]

Page 15: Pushing Forward from BHR through Random Individual-Level Variation in Program Components within Sites: The HPOG Impact Study Stephen H. Bell APPAM Research

Further Information

Molly IrwinFederal Project Officer, HPOG HHS/ACF/[email protected]

Stephen BellPrincipal ScientistAbt Associates [email protected]