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1 ion to estimate the null distribution of the test statistic).
2 on of time and (ii) an associated functional test statistic.
3 re variants from the same gene into a single test statistic.
4 e is proposed to reduce the dimension of the test statistic.
5 d stage, a Z-score or P-value is used as the test statistic.
6 covariance mapping method combined with a t-test statistic.
7 ave much higher power than the standard chi2-test statistic.
8 ut also reduce the degrees of freedom of the test statistic.
9 to approximate the null distribution of the test statistic.
10 test of association and a similar haplotype-test statistic.
11 as accurate for the null distribution of the test statistic.
12 ement in QoL were assessed by Fisher's exact test statistic.
13 ically derived large deviations rate for the test statistic.
14 used here to calculate the likelihood-ratio test statistic.
15 es evaluated for each half as an alternative test statistic.
16 null distribution of the Fisher combination test statistic.
17 iation test statistic to the expected median test statistic.
18 tain an approximate p-value for the observed test statistic.
19 ivated by the above idea, we devised two new test statistics.
20 g Mann-Whitney U, Kruskal-Wallis, and chi(2) test statistics.
21 parisons for independent or weakly dependent test statistics.
22 (CMC) method, and single-marker association test statistics.
23 lepoint approximation (SPA) to calibrate the test statistics.
24 ion) can greatly improve overall accuracy of test statistics.
25 istic which is the maximum of the univariate test statistics.
26 quire independence or weak dependence of the test statistics.
27 or relationship to ICH by using Fisher exact test statistics.
28 ation of population variances which improves test statistics.
29 d this model is used as the basis of several test statistics.
30 ables simultaneous visualization of multiple test statistics.
31 ach is applicable to any data structures and test statistics.
32 stimation procedure based on the linear rank test statistics.
33 e of five test statistics, including two new test statistics.
34 The score statistic comprises two component test statistics.
35 performed by using nonparametric and chi(2) test statistics.
36 the statistical significance of the observed test statistics.
37 t, somewhat correlated, or highly correlated test statistics.
38 was correlated with the lesion site using t-test statistics.
39 e inaccurate asymptotic distributions of the test statistics.
40 rates genomic functional annotation and GWAS test statistics.
41 ifference at the 95% confidence level with t-test statistics.
42 such as a table margin that varies among the test statistics.
43 e shrinkage on the estimated effects and the test statistics.
44 t test) and nonparametric (Wilcoxon rank sum test) statistics.
48 bled' = 59 [42 to 95]%; Friedman Chi-squared test statistic 6.5, p = 0.04; visit 2 median [IQR] perce
55 estimate that minimizes the variance of the test statistic and (2) maximizing the statistic over a n
57 l the three methods depend on constructing a test statistic and a so-called null statistic such that
62 wer will depend heavily on the choice of the test statistic and on the underlying genetic architectur
64 and exponential mechanisms based on the TDT test statistic and the shortest Hamming distance (SHD) s
65 e the relationship between the entropy-based test statistic and the standard chi2 statistic and show
66 ivariate statistics (i.e., components of the test statistic and their covariance matrix), which are d
67 'T' methods that perform well with discrete test statistics and also assesses how well methods devel
68 wer of multivariate tests depend only on the test statistics and are insensitive to the different nor
69 that proposed interferometry experiments to test statistics and computational ability of the state a
70 We investigate the power of the nonlinear test statistics and demonstrate that under certain condi
77 the effect of differential hybridization on test statistics and provide a solution to this problem i
79 variables by a criterion independent of the test statistic, and then only tests variables which pass
81 To evaluate their performance, the nonlinear test statistics are also applied to three real data sets
82 e evolutionary tree stochastically, and then test statistics are calculated to determine whether a co
84 ng methods for exact computation of standard test statistics are computationally impractical for even
85 noncentrality parameter approximations of F-test statistics are derived to make power calculation an
88 n of differentially expressed genes in which test statistics are learned from data using a simple not
92 ls (CIs), and Wilcoxon signed-rank two-sided test statistics are shown for MAE (19.61 [95% CI: 18.83,
94 olutions, since theoretical distributions of test statistics are typically unavailable for such desig
95 To check if our model assumptions for the test statistics are valid for various bioinformatics exp
97 reference data, the null distribution of the test statistic as a function of feature length using gen
99 nder the null of no genetic association, the test statistic asymptotically follows a chi-square distr
101 ased, can show inflation or deflation of the test statistic attributable to the inclusion of pairs wi
102 alytical derivation, I show that many of the test statistics available in standard linkage analysis p
105 n, but the evaluation of the significance of test statistics based on asymptotic theory can be imprec
107 ll P-values for a broad range of complicated test statistics based on the principle of the cross-entr
110 then estimates the null distribution of the test statistic by permuting the observations between the
111 ethod that estimates the distribution of the test statistic by using the saddlepoint approximation.
112 rrent pathway testing methods use univariate test statistics calculated from individual genomic marke
113 he significance of virtually any association test statistic can be evaluated based on simulations or
115 approach that focuses on the maximum of the test statistics can significantly improve the power to d
117 ate the extent of this bias for a variety of test statistics commonly used in qualitative- ("affected
119 nown parent-fragment pairs, which results in test statistics consistent with the null distribution.
123 odels and demonstrated that the power of the test statistic depends on the measure of gene-gene inter
126 ate, we derive the joint distribution of the test statistics developed in the two phases and obtain t
127 ose with no measurable exposure (Wald chi(2) test statistic [df] = 6.58 [1], P = 0.01; 95% confidence
129 osterior model probabilities by modeling the test statistics directly instead of modeling the full da
130 gorithms based on recently published data of test statistics, disease prevalence, and relevant costs:
132 es to detect "ancestry association." The new test statistics do not assume a particular disease model
133 more comprehensively by integrating multiple test statistics, each of which has relatively limited ca
136 ived a non-centrality parameter for the Wald test statistic for association, which allows analytical
138 he parameters of this model, and introduce a test statistic for differential expression similar to a
141 trogen plus progestin vs placebo because the test statistic for invasive breast cancer exceeded the s
143 We propose the combination of a Lomb-Scargle test statistic for periodicity and a multiple hypothesis
145 simultaneously calculate the Kruskal-Wallis test statistic for several millions of marker-trait comb
146 an [SD] score, 40.2 [8.9] vs 35.1 [7.1]; the test statistic for the difference in IDS sum score was 2
148 multiplied by sample size provides the usual test statistic for the hypothesis of no disequilibrium f
149 erties of the models, and propose a modified test statistic for the Li-Wong model that provides an im
152 n transform any population-based association test statistic for use in family-based association tests
153 lepoint approximation (SPA) to calibrate the test statistics for analysis of phenotypes with unbalanc
154 tudies, to evaluate the power of alternative test statistics for complex traits, and to examine gener
157 drial genomic inflation factors (mtGIFs) and test statistics for simulated case-control and continuou
158 ihood ratio test and partial R(2) statistics.Test statistics for the combined inclusion of the 4-mode
163 We propose to generate a large number of test statistics from a simulation model which has asympt
166 an analysis prior to the computation of the test statistic has broad and powerful applications in ma
168 hat under certain conditions, some nonlinear test statistics have much higher power than the standard
170 = 0.001) correlation between the Tajima's D test statistic in full resequencing data and Tajima's D
173 is likely to lead to inflation in the median test statistic in the absence of population structure.
174 tion of local ancestry and admixture mapping test statistics in admixed populations with contribution
175 model association tests can produce inflated test statistics in datasets with related individuals, wh
176 ation, can yield an inflated distribution of test statistics in genome-wide association studies (GWAS
178 as used to estimate the null distribution of test statistics in order to achieve the desired false po
180 the q-value method by taking the sign of the test statistics, in addition to the P-values, into accou
182 we evaluate the relative performance of five test statistics, including two new test statistics.
184 rare-variant-tailored methodology to reduce test statistic inflation, we identify 64 statistically s
187 Moreover, the underlying mathematics of our test statistic is a general technique, which can be appl
188 ations, the null distribution for a discrete test statistic is approximated with a continuous distrib
190 We show that, under the null, the resulting test statistic is distributed as a weighted sum of Poiss
191 ith the other affected sibs in families, the test statistic is increased by >20%, on average, for add
192 valid, because the null distribution of the test statistic is not standard normal, even in large sam
193 ber of computations required for the maximal test statistic is O(N2), where N is the number of marker
196 ry-trait-based linkage analysis and that our test statistic is robust with regard to certain paramete
199 how that a class of similarity measure-based test statistics is based on the quadratic function of al
200 some conditions the power of the non-linear test statistics is higher than that of the T2 statistic.
201 Overall, no deviation of the distribution of test statistics is observed from that expected under the
202 y large sample sizes feature selection using test statistics is similar for M and beta-values, but th
204 to low quality; (ii) inflation factor of the test statistics (lambda); (iii) number of false associat
205 is shown to be consistent with a multilocus test statistic, ln RV, proposed for identifying microsat
209 We found evidence of inflation in the median test statistics of the likelihood ratio and score tests
211 ies, is introduced by simply adding the chi2 test statistics of the two haplotype blocks together.
213 rior weights may also be used when combining test statistics or to informatively weight p values whil
214 include Laplace mechanisms based on the TDT test statistic, P-values, projected P-values and exponen
215 uantified as a continuous score-fold-change, test-statistic, P-value-comparing biological classes.
220 choice of the distribution of the underlying test statistic provide spurious detection of association
222 performed using the likelihood ratio as its test statistic rather than the more commonly used probab
225 as well as affected sibs, we introduce a new test statistic (referred to as TDS), which contrasts the
226 s effect sizes for comparative analyses, yet test statistics require more observations than variables
227 or population structure and inflation of the test statistic, resolved significant associations only w
230 enables our approach to also evaluate other test statistics such as SKATs, higher criticism approach
232 t-Fisher neutral model, and distributions of test statistics (t and Mann-Whitney U) were derived by a
234 ults indicated 1.67/1.84 times higher median test statistics than expected under the null hypothesis
235 each marker separately, we propose a single test statistic that follows a chi(2) distribution with 1
236 current report we propose and derive a score test statistic that identifies genes that are associated
239 e affected sib-pair study design and develop test statistics that are variations on the usual allele-
240 ncrease can be achieved by using alternative test statistics that average enrichment scores calculate
242 a novel empirical Bayes adjustment to the t-test statistics that can be incorporated into the step-d
243 lated graph can be used to compare different test statistics that can be used to analyze the same exp
245 ly observed in the empirical distribution of test statistics that results from the analysis of gene e
246 ts is presented, and two specific non-linear test statistics that use non-linear transformations of m
247 rrays) the same correlation structure as the test statistics that will be calculated from the given d
249 ardy-Weinberg Equilibrium (HWE) in NGHS, two test statistics, the CCS method [1] and the QS method [2
252 n practice the performance of the non-linear test statistics, they are applied to two real datasets.
253 eses (maximum likelihood ratio) is used as a test statistic to discriminate between true and false id
255 s to compare the observed median association test statistic to the expected median test statistic.
256 Finally, we apply the new entropy-based test statistic to two real data sets, one for the COMT g
259 result of two simple measures: (i) adjusting test statistics to exploit information from identifiable
260 n can bias traditional nonparametric linkage test statistics toward the null hypothesis of no locus e
261 statistical power of five association study test statistics (two haplotype-based tests, two marker-b
263 hm is based on modeling the distributions of test statistics under both null and alternative hypothes
266 Asymptotical distributions of the non-linear test statistics under the null and alternative hypothesi
267 e expectation of a wide range of association test statistics under the null hypothesis that there is
269 dividual gene level, we adjusted each gene's test statistic using the square root of transcript lengt
270 especially those that enable exploration of test statistics using auxiliary information (covariates)
271 lity that a marker has (no) effect given its test statistic value, also called the local false discov
277 part of the significant +11.2% inflation of test statistics we observed in an analysis of 6,322 nons
282 rovide approximations to the distribution of test statistics when the Newcomb-Benford law does not ho
283 ndard conditioning produces a severe drop in test statistics whereas our approach generally performs
284 of two means, a permutation test might use a test statistic which is the difference of the two sample
285 In the multivariate case, it might use a test statistic which is the maximum of the univariate te
286 y to result in under-inflation of the median test statistic which may mask the presence of population
287 the Hamming distance and develop a suitable test statistic, which is expected to be large for a caus
288 cept of mutual information to derive a novel test statistic, which we can evaluate by computing Jense
289 the correlation matrix of the single-variant test statistics, which can be estimated from one of the
290 for estimating pi0 developed for continuous test statistics, which depend on a uniform or identical
292 rmine a formula for the probability that the test statistic will reject the null hypothesis and morta
293 information in a region and it can produce a test statistic with an adaptively estimated number of de
294 Ps simultaneously in analysis but produces a test statistic with reduced degrees of freedom compared
296 ayesian framework Smyth formally derived the test statistics with shrinkage using the hierarchical mo
298 ccept the null hypothesis of futility if the test statistic z < 0.39 (P >/= .348) and reject the null
300 t first word on chromosome 7q (nonparametric test statistic [Z] 2.98; P=.001), and subsequent linkage