Random-pairing bootstrap and mutual informational ...

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assess crosstalk in RCT. Xinguang Chen Din Chen. MD, PhD, Professor PhD, Professor. Univ. of Florida Univ. of Rochester. 2014 APHA, Nov 16-19, New ...
Random-pairing bootstrap and mutual informational correlation to assess crosstalk in RCT Xinguang Chen MD, PhD, Professor Univ. of Florida

Din Chen PhD, Professor Univ. of Rochester

2014 APHA, Nov 16-19, New Orleans

RCT as Gold Standard • Strict to evaluate the effect of an intervention – Medicine – Behavioral

• Control potential confounding effects – Background – Attentional – Any other factors

2014 APHA, Nov 16-19, New Orleans

Threats to RCT for Educational/Behavioral Intervention • Fidelity of information delivery – Interventionist bias – Environmental differences

• Contamination through crosstalk – Purposeful information exchange between intervention and control – Incidental exchange

• Within group information exchange 2014 APHA, Nov 16-19, New Orleans

Difficulties in Assessing the Information Exchange • Do not know who exchanged what with whom – Issues related to human subject protection – Costly to collect data

• No methods are directly available to assess the impact – The relationship of information exchange between two persons is complex – Linear correlation is often inadequate 2014 APHA, Nov 16-19, New Orleans

Linear Correlation

X

Y Nov 16-19, New Orleans 2014 APHA,

Mutual Information • Let X and Y be two random variables • The dependence between X and Y:

• MI can take any form • 0 ≤ MI ≤ infinitive

2014 APHA, Nov 16-19, New Orleans

Informational Correlation RI • How to make MI look like R? o A number of researchers attempted various methods

• Method by Mathematics Encyclopedia

• For normal distributed data, we have: www.encyclopediaofmath.org/index.php/information-correlation-coefficient

2014 APHA, Nov 16-19, New Orleans

RPB for Assessing Informational Correlation

2014 APHA, Nov 16-19, New Orleans

The Flowchart for Random PairingBootstrap Informational correlation method for assessing crosstalk

Chen X Univ. Florida

Chen D Univ. Rochester

2014 APHA, Nov 16-19, New Orleans

Simulation Study 1 • Computer-generated data with bivariate normal distribution (n=500) • With known linear relationship – R = 0.00, 0.10, 0.20, 0.50, 0.88

• Varying bootstrap sample sizes – 50, 100, 150, 200, and 250

2014 APHA, Nov 16-19, New Orleans

Estimated RI(95%) CI with the RPB Method

2014 APHA, Nov 16-19, New Orleans

Conclusions for Study 1 • Informational correlation can reflect linear correlation with RPB method • The larger the Bootstrap sample, the close the RI to R, and the narrow the 95% CI of RI • N=250 looks like safe sample size for bootstrap

2014 APHA, Nov 16-19, New Orleans

Simulation Study 2 • Computer generated data with two known relationship (N=500)

• x~N(0, sigma2), -5 ≤ x ≤ 5 • b=2.0, sigma=2.0 2014 APHA, Nov 16-19, New Orleans

Estimated RI(95%) CI with the RPB Methods

2014 APHA, Nov 16-19, New Orleans

Conclusions for Study 2 • RI is a method to measure non-linear correlation which regular linear correlation R cannot with the RPB method • Pearson linear correlation can extract the linear part of the two relationships with the RPB method

2014 APHA, Nov 16-19, New Orleans

Analysis of Empirical Data • Longitudinal data from a 3-arm RCT • Participants: Bahamian youth – Intervention 1: – Intervention 2: – Control:

N=497 N=436 N=427

• Data set – Baseline, 12 months and 24 months

2014 APHA, Nov 16-19, New Orleans

Intervention Variables • HIV knowledge – Scale scores, 0-14

• Self-efficacy in condom use – Scale scores, 0-5

• Condom use skills – Scale scores, 0-8

2014 APHA, Nov 16-19, New Orleans

RI(95%) CI for Within-Group Communication

2014 APHA, Nov 16-19, New Orleans

RI(95%) CI for Between-Group Crosstalk

2014 APHA, Nov 16-19, New Orleans

Conclusions • RPB method is valid to generate data for assess information exchange • Informational correlation can be used to measure nonlinear relationship without assumption of the underlying relationship • Cross-talk is an issue for behavioral intervention

2014 APHA, Nov 16-19, New Orleans

Questions and Future Research • More studies to validate the RPB and informational correlation method in different settings – Experimental, simulation – Observational

• How to adjust the crosstalk in RCT given RI? • Sample size and power in research design

2014 APHA, Nov 16-19, New Orleans

Presenter Disclosures Xinguang Chen

I have no relationships during the past 12 months to disclose