### Table 4. Sample sizes in Bayesian analysis with proper analysis prior.

"... In PAGE 10: ... Sample sizes will be reduced further if we incorporate prior information also into the analysis stage. Table4 results when we make the analysis prior the same as the design prior. K 4,000 5,000 7,000 10,000 20,000 n1 = n2 901 513 348 279 224 Table 4.... ..."

### Table 8.4 The variables excluded from the Bayesian discriminant analysis

2000

Cited by 1

### Table 3. Summary from the analysis of data by Bayesian modeling

### Table 3: Summaries for 3 class model. Bayesian Analysis.

### Table 9: Sampling results for the Bayesian analysis of a VECM

2004

"... In PAGE 21: ...l2 are less than 0.005, 0.005 and 0.05, respectively. Table9 shows the results. Note that IS and MH with Student t candidate density again require very large amounts of drawings to reach convergence.... ..."

### Table 1: Average number of genes out of the 120 with the smallest p-values identified in common based on analyzing sub- samples of the IHF data set.

"... In PAGE 12: ... With the exception of the two statistics based on ratios of means (standard deviation for the ratio of raw means for 2 by 2, ratio of raw means for 3 by 3, ratio of mean of logs for 2 by 2 and ratio of mean of logs for 3 by 3 were 25, 32, 26, and 13 respectively), standard deviations over comparisons were generally small and between 7 and 13. The different combinations of window size and hyperparameter seemed to have little effect on the consistency of the Bayesian approach so only outcomes corresponding to the best and worst parameter combinations are presented in Table1 . The comparisons among statistical approaches presented in Table 2 were generated in a similar manner to those described above.... In PAGE 18: ... Similarly, in the case of the comparisons of size three, 36 measures of consistency were made from comparisons having one replicate in common. Table1 summarizes the consistency of the different statistical approaches. As might be expected additional replications of an experiment result in greater consistency at identifying the same set of genes as being up- or down-regulated.... In PAGE 20: ...The Bayesian approach allows the identification of more true positives with fewer replicates The data in Table1 show that additional experimental replications result in the identification of a more consistent set of up- or down- regulated genes, and that the Bayesian statistical approach identifies a more consistent set than a simple t-test. The natural question that arises is whether these genes are true positives.... ..."

### Table A-3- 1 Predictions of Hierarchical Bayesian Analysis for Overall Accidents, Part-I Prediction from Hierarchical Bayesian Analysis

2006

### Table A-3- 2 Predictions of Hierarchical Bayesian Analysis for Overall Accidents, Part-II Prediction from Hierarchical Bayesian Analysis

2006

### Table A-3- 3 Predictions of Hierarchical Bayesian Analysis for Overall Accidents, Part-III Prediction from Hierarchical Bayesian Analysis

2006