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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  null distribution of the Fisher combination test statistic.
9  to approximate the null distribution of the test statistic.
10  test of association and a similar haplotype-test statistic.
11 ement in QoL were assessed by Fisher's exact test statistic.
12 ically derived large deviations rate for the test statistic.
13  used here to calculate the likelihood-ratio test statistic.
14 ds can be efficiently combined in an overall test statistic.
15 ta that is a variant of the likelihood-ratio test statistic.
16 iation test statistic to the expected median test statistic.
17 tain an approximate p-value for the observed test statistic.
18 t, somewhat correlated, or highly correlated test statistics.
19  was correlated with the lesion site using t-test statistics.
20 e inaccurate asymptotic distributions of the test statistics.
21 ion) can greatly improve overall accuracy of test statistics.
22 istic which is the maximum of the univariate test statistics.
23 quire independence or weak dependence of the test statistics.
24 or relationship to ICH by using Fisher exact test statistics.
25 ation of population variances which improves test statistics.
26 d this model is used as the basis of several test statistics.
27 ables simultaneous visualization of multiple test statistics.
28 ach is applicable to any data structures and test statistics.
29 stimation procedure based on the linear rank test statistics.
30 e of five test statistics, including two new test statistics.
31 rates genomic functional annotation and GWAS test statistics.
32  The score statistic comprises two component test statistics.
33 the statistical significance of the observed test statistics.
34 ifference at the 95% confidence level with t-test statistics.
35 such as a table margin that varies among the test statistics.
36 ivated by the above idea, we devised two new test statistics.
37 g Mann-Whitney U, Kruskal-Wallis, and chi(2) test statistics.
38 parisons for independent or weakly dependent test statistics.
39  (CMC) method, and single-marker association test statistics.
40 t test) and nonparametric (Wilcoxon rank sum test) statistics.
41 ociated with lower 25OHD level (n = 2,347, F-test statistic = 49.7, p = 2.4 x 10-12).
42 as strongly associated with 25OHD (n=2347, F-test statistic=49.7, P=2x10(-12)).
43 bled' = 59 [42 to 95]%; Friedman Chi-squared test statistic 6.5, p = 0.04; visit 2 median [IQR] perce
44 bled' = 28 [13 to 63]%; Friedman Chi-squared test statistic 8.4, p= 0.02).
45                         Using a multivariate test statistic, a glutathione S-transferase (GST) gene w
46                      To improve the power of test statistics, a general statistical framework for con
47 limited, and pooling the permutation-derived test statistics across all genes has been proposed.
48  approximating the joint distribution of the test statistics along the genome.
49                           To standardize the test statistic, an empirical variance-covariance estimat
50  estimate that minimizes the variance of the test statistic and (2) maximizing the statistic over a n
51 rametric method based on the direct use of a test statistic and a null statistic.
52 l the three methods depend on constructing a test statistic and a so-called null statistic such that
53  the higher of the two LOD scores as the raw test statistic and corrected for multiple tests.
54                 To plot power curves for the test statistic and determine sample sizes for reasonable
55 nalysis should be avoided as it inflates the test statistic and increases the Type I error.
56           Calculation of the new multiallele test statistic and its P-value is very simple and utiliz
57             Profiles of the likelihood-ratio test statistic and the maximum-likelihood estimates (MLE
58  and exponential mechanisms based on the TDT test statistic and the shortest Hamming distance (SHD) s
59 e the relationship between the entropy-based test statistic and the standard chi2 statistic and show
60                     Correlations between the test statistic and the width of the confidence interval
61 ivariate statistics (i.e., components of the test statistic and their covariance matrix), which are d
62  'T' methods that perform well with discrete test statistics and also assesses how well methods devel
63 wer of multivariate tests depend only on the test statistics and are insensitive to the different nor
64  that proposed interferometry experiments to test statistics and computational ability of the state a
65    We investigate the power of the nonlinear test statistics and demonstrate that under certain condi
66 p of people, leading to potentially inflated test statistics and false positives.
67 f each by examining the relationship between test statistics and linkage disequilibrium (LD).
68                  It is well established that test statistics and P-values derived from discrete data,
69  distributions of Hardy-Weinberg equilibrium test statistics and P-values.
70 y samples may cause substantial inflation of test statistics and possibly spurious associations.
71  the effect of differential hybridization on test statistics and provide a solution to this problem i
72                           Therefore, special test statistics and quality control procedures are requi
73  of data, which are based on goodness-of-fit test statistics and standard errors of parameter estimat
74                                          APM test statistics and the Gaussian lod score are shown to
75  variables by a criterion independent of the test statistic, and then only tests variables which pass
76                                    Using a t-test statistics approach, we compared gene expression su
77 To evaluate their performance, the nonlinear test statistics are also applied to three real data sets
78 e evolutionary tree stochastically, and then test statistics are calculated to determine whether a co
79           Type I error rates of the proposed test statistics are calculated to show their robustness.
80 ng methods for exact computation of standard test statistics are computationally impractical for even
81  noncentrality parameter approximations of F-test statistics are derived to make power calculation an
82     The possible choices and usages of these test statistics are discussed.
83 erroni and Holm methods, especially when the test statistics are highly correlated.
84 n of differentially expressed genes in which test statistics are learned from data using a simple not
85       The genes identified or the univariate test statistics are often linked to known biological pat
86            On the basis of the two models, F-test statistics are proposed to test association between
87 centrality parameter approximations of the F-test statistics are provided.
88 ipping genetic markers whose upper bounds on test statistics are small.
89    To check if our model assumptions for the test statistics are valid for various bioinformatics exp
90                                We treat each test statistic as a basic attribute, and model the detec
91       Named SKAT+, this method uses the same test statistic as SKAT but differs in the way the null d
92 ased, can show inflation or deflation of the test statistic attributable to the inclusion of pairs wi
93 alytical derivation, I show that many of the test statistics available in standard linkage analysis p
94  that two individuals are sibs, we propose a test statistic based on the summation, over a large numb
95          In this article, we propose two new test statistics based on a variance-components approach
96                    In this paper we consider test statistics based on individual genotyping.
97           Popular approaches involve using t-test statistics, based on modelling the data as arising
98  then estimates the null distribution of the test statistic by permuting the observations between the
99 ethod that estimates the distribution of the test statistic by using the saddlepoint approximation.
100 Power and significance studies show that the test statistic calculated by use of 50 unlinked markers
101 rrent pathway testing methods use univariate test statistics calculated from individual genomic marke
102                        As a consequence, a W-test statistic can be used for testing the significance
103  approach that focuses on the maximum of the test statistics can significantly improve the power to d
104                                          The testing statistic can be constructed using any genotype-
105 ate the extent of this bias for a variety of test statistics commonly used in qualitative- ("affected
106                           We propose two new test statistics-conditional expected IBD (EIBD) and adju
107 nown parent-fragment pairs, which results in test statistics consistent with the null distribution.
108                                Commonly used test statistics correspond to using least squares to est
109                                          The test statistic crossed the prespecified futility boundar
110 ximum value of this excess similarity as our test statistic Delta(m,n,b).
111 odels and demonstrated that the power of the test statistic depends on the measure of gene-gene inter
112                    Here we introduce a score test statistic derived from a normal likelihood based on
113                                            A test statistic derived from L, the efficient score stati
114                        We apply our proposed test statistic derived using gPCA to simulated data and
115 ate, we derive the joint distribution of the test statistics developed in the two phases and obtain t
116 ose with no measurable exposure (Wald chi(2) test statistic [df] = 6.58 [1], P = 0.01; 95% confidence
117  aims to estimate the null distribution of a test statistic directly.
118 osterior model probabilities by modeling the test statistics directly instead of modeling the full da
119 gorithms based on recently published data of test statistics, disease prevalence, and relevant costs:
120 d populations but allow the determination of test statistic distributions via simulation or data perm
121                     Variation in genome-wide test statistic distributions was noted within studies (l
122 es to detect "ancestry association." The new test statistics do not assume a particular disease model
123 more comprehensively by integrating multiple test statistics, each of which has relatively limited ca
124 esis testing is formulated by defining a new test statistics--energy difference.
125                                          The test statistic explicitly accounts for differences in co
126                         We propose a general test statistic for detecting differences between gene cu
127 he parameters of this model, and introduce a test statistic for differential expression similar to a
128           We validate the performance of our test statistic for finite synthetic samples and experime
129                         We introduce a novel test statistic for genetic association studies that uses
130 trogen plus progestin vs placebo because the test statistic for invasive breast cancer exceeded the s
131 ze loci testing based on approximations of a test statistic for pairs of locus groups.
132 We propose the combination of a Lomb-Scargle test statistic for periodicity and a multiple hypothesis
133                                  An improved test statistic for selection mapping was developed, in w
134  simultaneously calculate the Kruskal-Wallis test statistic for several millions of marker-trait comb
135 an [SD] score, 40.2 [8.9] vs 35.1 [7.1]; the test statistic for the difference in IDS sum score was 2
136                                          The test statistic for the difference in network connectivit
137 multiplied by sample size provides the usual test statistic for the hypothesis of no disequilibrium f
138 erties of the models, and propose a modified test statistic for the Li-Wong model that provides an im
139                 To determine the appropriate test statistic for the new measure and derive a formula
140  models; and derives the optimal interaction test statistic for this class of regression models.
141 n transform any population-based association test statistic for use in family-based association tests
142 tudies, to evaluate the power of alternative test statistics for complex traits, and to examine gener
143                                              Test statistics for genome association studies that cons
144             We show that our novel Wald-type test statistics for interactions with and without constr
145 drial genomic inflation factors (mtGIFs) and test statistics for simulated case-control and continuou
146 ihood ratio test and partial R(2) statistics.Test statistics for the combined inclusion of the 4-mode
147 dering the individual Cochran-Armitage trend test statistics for the genotype markers.
148              The distribution of association test statistics for the single variant and gene burden a
149                                          The test statistics for the Wald test were under-inflated at
150 bining rare mutations and construct suitable test statistics for various biological scenarios.
151     We propose to generate a large number of test statistics from a simulation model which has asympt
152  genetic region are involved in disease, the test statistic gives a closer fit to the null expectatio
153                                          The test statistic has an approximately normal distribution
154                       However, the choice of test statistic has been largely ignored even though it m
155  an analysis prior to the computation of the test statistic has broad and powerful applications in ma
156               Our study shows that nonlinear test statistics have great potential in association stud
157 hat under certain conditions, some nonlinear test statistics have much higher power than the standard
158                                        Three test statistics have recently been proposed in the liter
159  Furthermore, extreme positive values of the test statistic identify sibs as MZ twins.
160  = 0.001) correlation between the Tajima's D test statistic in full resequencing data and Tajima's D
161 hybrid approach to obtain the P-value of the test statistic in linear time.
162          Because of the gene selection step, test statistic in SPCA model can no longer be approximat
163 is likely to lead to inflation in the median test statistic in the absence of population structure.
164 model association tests can produce inflated test statistics in datasets with related individuals, wh
165 ation, can yield an inflated distribution of test statistics in genome-wide association studies (GWAS
166 ccounts for the majority of the inflation in test statistics in many GWAS of large sample size.
167 racterizes the joint distribution of the two test statistics in two-dimensional space.
168 the q-value method by taking the sign of the test statistics, in addition to the P-values, into accou
169       We investigate the properties of these test statistics, including their powers of detecting het
170 we evaluate the relative performance of five test statistics, including two new test statistics.
171                      Our proposed Quaternary test statistic incorporates all available evidence on th
172              We will show that the penalized test statistics intuitively makes sense and through appl
173                                          The test statistics involve estimating the genewise variance
174  Moreover, the underlying mathematics of our test statistic is a general technique, which can be appl
175 ations, the null distribution for a discrete test statistic is approximated with a continuous distrib
176                                            A test statistic is defined as the dot-product of the vect
177  We show that, under the null, the resulting test statistic is distributed as a weighted sum of Poiss
178 ith the other affected sibs in families, the test statistic is increased by >20%, on average, for add
179                                 Power of the test statistic is investigated under an alternative mode
180  valid, because the null distribution of the test statistic is not standard normal, even in large sam
181 ber of computations required for the maximal test statistic is O(N2), where N is the number of marker
182                          By definition, this test statistic is proportional to the length of the proj
183            A new transmission/disequilibrium-test statistic is proposed for situations in which trans
184 ry-trait-based linkage analysis and that our test statistic is robust with regard to certain paramete
185                 The null distribution of the test statistic is shown to be approximately chi-squared
186                                          Our test statistic is the rate of success that our methods a
187 s of no effect, when the distribution of the test statistic is unknown.
188 how that a class of similarity measure-based test statistics is based on the quadratic function of al
189  some conditions the power of the non-linear test statistics is higher than that of the T2 statistic.
190 Overall, no deviation of the distribution of test statistics is observed from that expected under the
191 y large sample sizes feature selection using test statistics is similar for M and beta-values, but th
192                         In the first step, a test-statistic is computed for each probe based on a hie
193 to low quality; (ii) inflation factor of the test statistics (lambda); (iii) number of false associat
194  is shown to be consistent with a multilocus test statistic, ln RV, proposed for identifying microsat
195                                          The test statistics lnRV and lnRH were used to find regions
196                                 We call this test statistic "MMLS-C." We found that the ELODs for MML
197                                        A few test statistics--most notably the nonparametric linkage
198 We found evidence of inflation in the median test statistics of the likelihood ratio and score tests
199 ies, is introduced by simply adding the chi2 test statistics of the two haplotype blocks together.
200                      In the second step, the test-statistics of probes within a genomic region are us
201 rior weights may also be used when combining test statistics or to informatively weight p values whil
202  include Laplace mechanisms based on the TDT test statistic, P-values, projected P-values and exponen
203              We show that use of some filter/test statistics pairs presented in the literature may, h
204 proximation to linear and quadratic gene set test statistics' permutation distribution.
205                Apart from variant weights in test statistics, prior weights may also be used when com
206                                          The test statistic profiles show some difference between the
207 n of sequences and integration of additional test statistics proposed by other groups.
208 choice of the distribution of the underlying test statistic provide spurious detection of association
209 recombination-fraction estimate, leaving the test statistic quite robust.
210  performed using the likelihood ratio as its test statistic rather than the more commonly used probab
211    Typically, QTL are reported only when the test statistics reach a predetermined critical value.
212                                          All test statistics reached statistical significance at p <
213 as well as affected sibs, we introduce a new test statistic (referred to as TDS), which contrasts the
214 s effect sizes for comparative analyses, yet test statistics require more observations than variables
215 or population structure and inflation of the test statistic, resolved significant associations only w
216                                     Wilcoxon test statistics reveals that a subset of primate LINE-1
217                     The choice of a TD-based test statistic should be dependent on the predominant fa
218 uous data: a continuous chi-square test with test statistic T(CCS) and a test based on Hellinger's di
219 nd a test based on Hellinger's distance with test statistic T(HD).
220 t-Fisher neutral model, and distributions of test statistics (t and Mann-Whitney U) were derived by a
221 ions have a lower fdr for a given value of a test statistic than SNPs in unenriched categories.
222 ults indicated 1.67/1.84 times higher median test statistics than expected under the null hypothesis
223  each marker separately, we propose a single test statistic that follows a chi(2) distribution with 1
224 current report we propose and derive a score test statistic that identifies genes that are associated
225                            This results in a test statistic that is a minor variation of those used i
226                                We describe a test statistic that uses gPCA to test whether a batch ef
227 e affected sib-pair study design and develop test statistics that are variations on the usual allele-
228                                              Test statistics that borrow information from data across
229  a novel empirical Bayes adjustment to the t-test statistics that can be incorporated into the step-d
230 lated graph can be used to compare different test statistics that can be used to analyze the same exp
231                  The objective is to explore test statistics that combine information from haplotype
232 ly observed in the empirical distribution of test statistics that results from the analysis of gene e
233 ts is presented, and two specific non-linear test statistics that use non-linear transformations of m
234 rrays) the same correlation structure as the test statistics that will be calculated from the given d
235                                 We present a test statistic, the quantitative LOD (QLOD) score, for t
236 ardy-Weinberg Equilibrium (HWE) in NGHS, two test statistics, the CCS method [1] and the QS method [2
237                                 For discrete test statistics, the P values come from a discrete distr
238                          Three commonly used test statistics, the sample mean, SAM statistic and Stud
239 n practice the performance of the non-linear test statistics, they are applied to two real datasets.
240 eses (maximum likelihood ratio) is used as a test statistic to discriminate between true and false id
241                               We introduce a test statistic to select genes with significant dose-res
242 s to compare the observed median association test statistic to the expected median test statistic.
243      Finally, we apply the new entropy-based test statistic to two real data sets, one for the COMT g
244 ected null distribution may cause truly null test statistics to appear nonnull.
245                 The application of different test statistics to biological data reveals that three st
246 result of two simple measures: (i) adjusting test statistics to exploit information from identifiable
247 ng data sequence, it is impossible (with any test statistic) to distinguish perfectly between linear
248 n can bias traditional nonparametric linkage test statistics toward the null hypothesis of no locus e
249  statistical power of five association study test statistics (two haplotype-based tests, two marker-b
250 ype I error was appropriate for nearly every test statistic under all conditions.
251 hm is based on modeling the distributions of test statistics under both null and alternative hypothes
252        However, the null distribution of the test statistics under permutation is not the same for eq
253 nvestigate three one-sided and two two-sided test statistics under Q1 and Q2.
254 Asymptotical distributions of the non-linear test statistics under the null and alternative hypothesi
255 e expectation of a wide range of association test statistics under the null hypothesis that there is
256 ticular, we give an explicit formula for the test statistic used in the regression approach.
257                           Next, we develop a test statistic using cytonuclear disequilibria via the t
258 dividual gene level, we adjusted each gene's test statistic using the square root of transcript lengt
259 lity that a marker has (no) effect given its test statistic value, also called the local false discov
260                                 A weighted t-test statistic was applied to calculate probabilities (p
261                        We found that the new test statistic was more powerful than the traditional lo
262                      Two-sample proportional test statistic was used to evaluate differences between
263                 The null distribution of the test statistics was simulated for the desired false posi
264  part of the significant +11.2% inflation of test statistics we observed in an analysis of 6,322 nons
265                           Using voxel-wise t-test statistics, we showed associations between deterior
266                                    Student t test statistics were applied to report significant findi
267  each participating study, and the resulting test statistics were combined in a meta-analysis.
268                          Standard errors and test statistics were corrected for weighting, clustering
269 ndard conditioning produces a severe drop in test statistics whereas our approach generally performs
270 of two means, a permutation test might use a test statistic which is the difference of the two sample
271     In the multivariate case, it might use a test statistic which is the maximum of the univariate te
272 y to result in under-inflation of the median test statistic which may mask the presence of population
273  the Hamming distance and develop a suitable test statistic, which is expected to be large for a caus
274 the correlation matrix of the single-variant test statistics, which can be estimated from one of the
275  for estimating pi0 developed for continuous test statistics, which depend on a uniform or identical
276 rmine a formula for the probability that the test statistic will reject the null hypothesis and morta
277 information in a region and it can produce a test statistic with an adaptively estimated number of de
278 Ps simultaneously in analysis but produces a test statistic with reduced degrees of freedom compared
279 e-wide association tests is to develop novel test statistics with high power.
280 ayesian framework Smyth formally derived the test statistics with shrinkage using the hierarchical mo
281  noncentrality parameter approximations of F-test statistics work very well.
282 ccept the null hypothesis of futility if the test statistic z < 0.39 (P >/= .348) and reject the null
283     All the methods depend on constructing a test statistic Z and a so-called null statistic z.
284 t first word on chromosome 7q (nonparametric test statistic [Z] 2.98; P=.001), and subsequent linkage

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