Inclusion probability with dropout: An operational formula

2015 ◽  
Vol 16 ◽  
pp. 71-76 ◽  
Author(s):  
E. Milot ◽  
J. Courteau ◽  
F. Crispino ◽  
F. Mailly
1987 ◽  
Vol 86 (2) ◽  
pp. 1010-1019
Author(s):  
Gregory J. Gillette ◽  
John J. McCoy

2019 ◽  
Vol 8 (5) ◽  
pp. 932-964 ◽  
Author(s):  
Roderick J A Little ◽  
Brady T West ◽  
Philip S Boonstra ◽  
Jingwei Hu

Abstract With the current focus of survey researchers on “big data” that are not selected by probability sampling, measures of the degree of potential sampling bias arising from this nonrandom selection are sorely needed. Existing indices of this degree of departure from probability sampling, like the R-indicator, are based on functions of the propensity of inclusion in the sample, estimated by modeling the inclusion probability as a function of auxiliary variables. These methods are agnostic about the relationship between the inclusion probability and survey outcomes, which is a crucial feature of the problem. We propose a simple index of degree of departure from ignorable sample selection that corrects this deficiency, which we call the standardized measure of unadjusted bias (SMUB). The index is based on normal pattern-mixture models for nonresponse applied to this sample selection problem and is grounded in the model-based framework of nonignorable selection first proposed in the context of nonresponse by Don Rubin in 1976. The index depends on an inestimable parameter that measures the deviation from selection at random, which ranges between the values zero and one. We propose the use of a central value of this parameter, 0.5, for computing a point index, and computing the values of SMUB at zero and one to provide a range of the index in a sensitivity analysis. We also provide a fully Bayesian approach for computing credible intervals for the SMUB, reflecting uncertainty in the values of all of the input parameters. The proposed methods have been implemented in R and are illustrated using real data from the National Survey of Family Growth.


1984 ◽  
Vol 15 (4) ◽  
pp. 595-600
Author(s):  
Pranesh Kumar ◽  
O.P. Kathuria ◽  
S.K. Agarwal

1993 ◽  
Vol 47 (3) ◽  
pp. 206-208
Author(s):  
Andrew R. Solow

2017 ◽  
Vol 8 (1-2) ◽  
pp. 156
Author(s):  
M. Abdalla

In this paper, we propose to give some operational formula of the generalized Bessel matrix polynomials (GBMPs) using the difference operators. Some special cases of the main results are also established.


1982 ◽  
Vol 36 (4) ◽  
pp. 209-212 ◽  
Author(s):  
M.N. Deshpande ◽  
S.G. Prabhu-Ajgaonkar

1934 ◽  
Vol 41 (2) ◽  
pp. 94
Author(s):  
H. E. Dow
Keyword(s):  

2020 ◽  
Author(s):  
Fanny Mollandin ◽  
Andrea Rau ◽  
Pascal Croiseau

Abstract Background: Technological advances and decreasing costs have led to the rise of increasingly dense genotyping data, making feasible the identification of potential causal or candidate markers. Custom genotyping chips, which represent a cost-effective strategy to combine medium-density genotypes with a custom genotype panel, can capitalize on these candidates to potentially yield improved accuracy and interpretability in genomic prediction. A particularly promising model to this end is BayesR, which divides markers into four effect size classes (null, small, medium, and large). The flexibility of BayesR has been shown to yield accurate predictions and promise for quantitative trait loci (QTL) mapping in real data applications, but an extensive benchmarking in simulated data is currently lacking.Results: Based on a set of real genotypes, we generated simulated data under a variety of genetic architectures, phenotype heritabilities, and polygenic variances, and we evaluated the impact of excluding (50k genotype data) or including (50k custom genotype data) causal markers among the genotypes. We define several statistical criteria for QTL mapping using BayesR output (maximum a posteriori rule, non-null maximum a posteriori rule, posterior variance, weighted cumulative inclusion probability), including several based on sliding windows rather than individual markers to account for linkage disequilibrium. We compare and contrast these statistics and their ability to accurately prioritize known causal markers. Overall, we confirm the strong predictive performance for BayesR in moderately to highly heritable traits, particularly for 50k custom data; in cases of low heritability or weak linkage disequilibrium with the causal marker in 50k genotypes, QTL mapping is a challenge, regardless of the criterion used.Conclusion: BayesR is a promising approach to simultaneously obtain accurate predictions and interpretable classifications of SNPs into effect size classes. Although QTL mapping is unsurprisingly easiest for highly heritable phenotypes and large QTLs, we illustrated the performance of BayesR in a variety of simulation scenarios, and compared the advantages and limitations of each. Among those considered, the weighted cumulative inclusion probability appears to provide the best mapping results, even under less favorable conditions. Finally, we quantify the advantage that can be gained by incorporating causal mutations on a custom genotyping chip.


Sign in / Sign up

Export Citation Format

Share Document