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                            Activity Number:
                            
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                            433 
                            	- SPEED: Applications of Advanced Statistical Techniques in Complex Survey Data Analysis: Small Area Estimation, Propensity Scores, Multilevel Models, and More
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                            Type:
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                            Contributed
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                            Date/Time:
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                            Tuesday, July 31, 2018 : 2:00 PM to 2:45 PM
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                            Sponsor:
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                            Survey Research Methods Section
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                            Abstract #332924
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                            Title:
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                            Parameter Estimate Bias Resulting from Level 3 Sample Size Decisions
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                        Author(s):
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                        Tingqiao Chen* and Frank Lawrence and Wenjuan Ma 
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                        Companies:
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                         and Michigan State University and Michigan State University 
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                        Keywords:
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                            3-lvl HLM; 
                            sample size; 
                            simulation; 
                            parameter bias; 
                            absolute relative bias 
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                        Abstract:
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                            Acquiring level 3 units is more expensive than either level 1 or level 2 units (cf. Kalaian & Raudenbush, 1996).  The effect of level 3 sample size decisions on level 1 parameter estimate bias is important but not known (McNeish & Stapleton, 2016).  To address this shortcoming we study the impact of level-three sample size on parameter estimates when the parameters of interest were at level one. The model was a three-level linear model; the target parameter was a level-one predictor. Level-one and level-two sample sizes were fixed at 15 and 30 respectively (e.g., Kreft & de Leeuw, 1998) with variances fixed at 10 and 1. Level-three sample size varied from 5 to 30 by 5. Level-three variance ranged from 0.6 to 2.0 with ICC varying from 0.05 to 0.15 by 0.05 (e.g., Maas & Hox, 2005).  Target parameter estimates were evaluated using absolute relative bias (ARB) and the parameter estimate standard error (SE).  As level 3 sample size increased, both ARB and SE decreased in a non-linear fashion. The value of ARB and SE started to stabilize once the level 3 sample size reached 20.     
                         
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                    Authors who are presenting talks have a * after their name.
                 
                
                
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