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V J Vieland

Publications and source records attributed to V J Vieland.

17 recordsLinked to original sources

Further evidence for the increased power of LOD scores compared with nonparametric methods.

In genetic analysis of diseases in which the underlying model is unknown, "model free" methods-such as affected sib pair (ASP) tests-are often preferred over LOD-score methods, although LOD-score methods under the correct or even approximately correct model are more powerful than ASP tests. However, there might be circumstances in which nonparametric methods will outperform LOD-score methods. Recently, Dizier et al. reported that, in some complex two-locus (2L) models, LOD-score methods with segregation analysis-derived parameters had less power to detect linkage than ASP tests. We investigated whether these particular models, in fact, represent a situation that ASP tests are more powerful than LOD scores. We simulated data according to the parameters specified by Dizier et al. and analyzed the data by using a (a) single locus (SL) LOD-score analysis performed twice, under a simple dominant and a recessive mode of inheritance (MOI), (b) ASP methods, and (c) nonparametric linkage (NPL) analysis. We show that SL analysis performed twice and corrected for the type I-error increase due to multiple testing yields almost as much linkage information as does an analysis under the correct 2L model and is more powerful than either the ASP method or the NPL method. We demonstrate that, even for complex genetic models, the most important condition for linkage analysis is that the assumed MOI at the disease locus being tested is approximately correct, not that the inheritance of the disease per se is correctly specified. In the analysis by Dizier et al., segregation analysis led to estimates of dominance parameters that were grossly misspecified for the locus tested in those models in which ASP tests appeared to be more powerful than LOD-score analyses.

Genes, Dominant

Results of a genome-wide genetic screen for panic disorder.

Panic disorder is characterized by spontaneous and recurrent panic attacks, often accompanied by agoraphobia. The results of family, twin, and segregation studies suggest a genetic role in the etiology of the illness. We have genotyped up to 23 families that have a high density of panic disorder with 540 microsatellite DNA markers in a first-pass genomic screen. The thirteen best families (ELOD > 6.0 under the dominant genetic model) have been genotyped with an ordered set of markers encompassing all the autosomes, at an average marker density of 11 cM. Over 110,000 genotypes have been generated on the whole set of families, and the data have been analyzed under both a dominant and a recessive model, and with the program SIBPAIR. No lod scores exceed 2.0 for either parametric model. Two markers give lod scores over 1.0 under the dominant model (chromosomes 1p and 20p), and four do under the recessive model (7p, 17p, 20q, and X/Y). One of these (20p) may be particularly promising. Analysis with SIBPAIR yielded P values equivalent to a lod score of 1.0 or greater (i.e., P < .016, one-sided, uncorrected for multiple tests) for 11 marker loci (2, 7p, 8p, 8q, 9p, 11q, 12q, 16p, 20p and 20q).

Adolescent

Statistical evaluation of age-at-onset anticipation: a new test and evaluation of its behavior in realistic applications.

The discovery that microsatellite repeat expansions can cause clinical disease has fostered renewed interest in testing for age-at-onset anticipation (AOA). A commonly used procedure is to sample affected parent-child pairs (APCPs) from available data sets and to test for a difference in mean age at onset between the parents and the children. However, standard statistical methods fail to take into account the right truncation of both the parent and child age-at-onset distributions under this design, with the result that type I error rates can be inflated substantially. Previously, we had introduced a new test, based on the correct, bivariate right-truncated, age-at-onset distribution. We showed that this test has the correct type I error rate for random APCPs, even for quite small samples. However, in that paper, we did not consider two key statistical complications that arise when the test is applied to realistic data. First, affected pairs usually are sampled from pedigrees preferentially selected for the presence of multiple affected individuals. In this paper, we show that this will tend to inflate the type I error rate of the test. Second, we consider the appropriate probability model under the alternative hypothesis of true AOA due to an expanding microsatellite mechanism, and we show that there is good reason to believe that the power to detect AOA may be quite small, even for substantial effect sizes. When the type I error rate of the test is high relative to the power, interpretation of test results becomes problematic. We conclude that, in many applications, AOA tests based on APCPs may not yield meaningful results.

Age Factors

Investigating the numerical effects of ascertainment bias in linkage analysis: development of methods and preliminary results.

It is general practice to have nonsingle ascertainment of pedigrees for linkage studies, along with intrafamilial sampling that is dependent on who among the related individuals was initially ascertained (Proband dependent or PD sampling). Vieland and Hodge [1995; 1996] have shown that under these conditions, the likelihood used in calculating the lod score is not strictly correct and can produce asymptotically biased estimates of the recombination fraction, theta. However they speculated that this bias would be small in most applications. This paper presents preliminary work aimed at quantifying the numerical magnitude of the bias introduced by PD sampling and nonsingle ascertainment in linkage analysis. We considered five generating models where we varied the ascertainment procedure, intrafamilial sampling scheme, and the sample size for each model. In this limited initial set of simulations, asymptotic bias in theta appears to be trivial, while PD sampling procedures can increase the efficiency of theta. These preliminary results support the view that the advantages of unsystematic ascertainment may offset any small estimation bias that may arise.

Bias

New segregation analysis of panic disorder.

We performed simple segregation analyses of panic disorder using 126 families of probands with DSM-III-R panic disorder who were ascertained for a family study of anxiety disorders at an anxiety disorders research clinic. We present parameter estimates for dominant, recessive, and arbitrary single major locus models without sex effects, as well as for a nongenetic transmission model, and compare these models to each other and to models obtained by other investigators. We rejected the nongenetic transmission model when comparing it to the recessive model. Consistent with some previous reports, we find comparable support for dominant and recessive models, and in both cases estimate nonzero phenocopy rates. The effect of restricting the analysis to families of probands without any lifetime history of comorbid major depression (MDD) was also examined. No notable differences in parameter estimates were found in that subsample, although the power of that analysis was low. Consistency between the findings in our sample and in another independently collected sample suggests the possibility of pooling such samples in the future in order to achieve the necessary power for more complex analyses.

Adult

The essence of single ascertainment.

We propose a fundamental new definition of single ascertainment, namely, that single ascertainment is any ascertainment scheme in which P[pedigree is ascertained/true structure of pedigree] alpha p(theta), where p(theta) is some function of genetic parameters theta but is not a function of pedigree structure. Stated in words: Under single ascertainment, all pedigrees have equal (or proportional with respect to genetic parameters) probabilities of being ascertained, independent of pedigree size or structure. This new definition of single ascertainment allows us to show several results: (1) The correct likelihood consists of the probability of the data conditioned on the observed pedigree, divided by the function p(theta), whether sampling is "proband-independent" or "proband-dependent." (2) More-familiar definitions of single ascertainment all represent special cases of our definition. (3) When p(theta) represents the prevalence of the trait being studied, our definition corresponds to "classical" single ascertainment, i.e., ascertainment through a single "proband." However, the concept of p(theta) can also be generalized to represent the population frequency of configurations of affected relatives (such as affected sib pairs); we call this "generalized single ascertainment."

Mathematical Computing

The problem of ascertainment for linkage analysis.

It is generally believed that ascertainment corrections are unnecessary in linkage analysis, provided individuals are selected for study solely on the basis of trait phenotype and not on the basis of marker genotype. The theoretical rationale for this is that standard linkage analytic methods involve conditioning likelihoods on all the trait data, which may be viewed as an application of the ascertainment assumption-free (AAF) method of Ewens and Shute. In this paper, we show that when the observed pedigree structure depends on which relatives within a pedigree happen to have been the probands (proband-dependent, or PD, sampling) conditioning on all the trait data is not a valid application of the AAF method and will result in asymptotically biased estimates of genetic parameters (except under single ascertainment). Furthermore, this result holds even if the recombination fraction R is the only parameter of interest. Since the lod score is proportional to the likelihood of the marker data conditional on all the trait data, this means that when data are obtained under PD sampling the lod score will yield asymptotically biased estimates of R, and that so-called mod scores (i.e., lod scores maximized over both R and parameters theta of the trait distribution) will yield asymptotically biased estimates of R and theta. Furthermore, the problem appears to be intractable, in the sense that it is not possible to formulate the correct likelihood conditional on observed pedigree structure. In this paper we do not investigate the numerical magnitude of the bias, which may be small in many situations. On the other hand, virtually all linkage data sets are collected under PD sampling. Thus, the existence of this bias will be the rule rather than the exception in the usual applications.

Bias

Identification and mapping of Mendelian subtypes of disease.

We took as our working hypothesis the premise that there could be a single locus of major effect underlying a subset of cases in the simulated Problem 2 data set, and took as our primary goal the task of mapping that locus. Treating the disease as dichotomous and using discriminant function analysis, we were able to separate affected individuals into two disease categories: Disease Type I (DT-I) cases, whose disease was by hypothesis caused by the major locus; and Disease Type II (DT-II) cases, whose disease was by hypothesis produced by other causes. Segregation analysis showed evidence of simple recessive inheritance among the DT-I individuals. Linkage analysis under the best-fitting recessive model gave clear evidence of linkage to D1G2. In the generating model, this marker is linked to a major gene for disease with recombination fraction theta = 0, and the mode of inheritance at that locus is recessive (when the trait is considered as a dichotomy). We conclude that when the true model is complex, focussing on subtypes of disease that show evidence of simple Mendelian inheritance may be a useful first step in determining the underlying model and mapping major genes.

Algorithms

Inherent intractability of the ascertainment problem for pedigree data: a general likelihood framework.

The problem of ascertainment in segregation analysis arises when families are selected for study through ascertainment of affected individuals. In this case, ascertainment must be corrected for in data analysis. However, methods for ascertainment correction are not available for many common sampling schemes, e.g., sequential sampling of extended pedigrees (except in the case of "single" selection). Concerns about whether ascertainment correction is even required for large pedigrees, about whether and how multiple probands in the same pedigree can be taken into account properly, and about how to apply sequential sampling strategies have occupied many investigators in recent years. We address these concerns by reconsidering a central issue, namely, how to handle pedigree structure (including size). We introduce a new distinction, between sampling in such a way that observed pedigree structure does not depend on which pedigree members are probands (proband-independent [PI] sampling) and sampling in such a way that observed pedigree structure does depend on who are the probands (proband-dependent [PD] sampling). This distinction corresponds roughly (but not exactly) to the distinction between fixed-structure and sequential sampling. We show that conditioning on observed pedigree structure in ascertained data sets obtained under PD sampling is not in general correct (with the exception of "single" selection), while PI sampling of pedigree structures larger than simple sibships is generally not possible. Yet, in practice one has little choice but to condition on observed pedigree structure. We conclude that the problem of genetic modeling in ascertained data sets is, in most situations, literally intractable. We recommend that future efforts focus on the development of robust approximate approaches to the problem.

Family Characteristics

Adequacy of single-locus approximations for linkage analyses of oligogenic traits.

When a disease is controlled by two or more mendelian loci acting epistatically, it can be modeled in a linkage analysis as a single-locus mendelian disease with reduced penetrance. However, the reliability of such an approximation has not yet been demonstrated. This study evaluates the adequacy of such single-locus approximations, when the disease under investigation is determined by two loci, one of which is tightly linked to a genetic marker. A wide range of two-locus models were simulated, and analyzed under both the correct two-locus model and under a single-locus approximation to that model. In general, the single-locus approximations yielded lod scores very close to the correct ones, but estimates of theta tended to be upwardly biased. We conclude that a single-locus linkage analysis will, in general, provide an excellent approximation to a correct (two-locus) linkage analysis of epistatic two-locus diseases. This enables researchers to continue to use single-locus linkage analyses when two-locus disease transmission is a possibility, and it validates linkage findings already obtained under single-locus analysis, even if the disease under investigation proves ultimately to be governed by two mendelian loci. We also examine alternative methods for obtaining parameter estimates for the single-locus approximations, and we discuss both generalizations and limitations of our findings.

Chromosome Mapping

Adequacy of single-locus approximations for linkage analyses of oligogenic traits: extension to multigenerational pedigree structures.

When a disease is controlled by two or more mendelian loci acting epistatically, it can be modeled in a linkage analysis as a single-locus mendelian disease with reduced penetrance. Previous work has demonstrated the reliability of such approximation for nuclear families, but not for extended pedigrees. We simulated extended pedigrees under two-locus models, in which one of the two disease loci was linked to a marker, and analyzed them both under the correct two-locus models and under single-locus approximations. The single-locus approximations provided results that were very close to the correct two-locus results. This held true, whether we ascertained pedigrees based on the presence of at least one affected individual, or based on the presence of at least five affected individuals. While a simulation study cannot guarantee that extrapolation of the results to models other than those examined is justified, our findings strongly suggest that single-locus linkage analysis can be reliably used in analyzing two-locus disorders in extended pedigrees. We also found striking confirmation of the importance of performing linkage analyses under both dominant and recessive models when the mode of inheritance is unknown, for extended pedigrees ascertained through multiple affected individuals.

Chromosome Mapping