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2 edition of Estimation of interclass and intraclass correlations in multivariate familial data found in the catalog.

Estimation of interclass and intraclass correlations in multivariate familial data

M. S. Srivastava

Estimation of interclass and intraclass correlations in multivariate familial data

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  • 10 Currently reading

Published by University of Toronto, Dept. of Statistics in Toronto .
Written in English

    Subjects:
  • Asymptotic distribution (Probability theory),
  • Multivariate analysis,
  • Sampling (Statistics)

  • Edition Notes

    StatementM.S. Srivastava, K.J. Keen, and R.S. Katapa.
    SeriesTechnical report / University of Toronto, Dept. of Statistics -- no. 1 (1987)
    ContributionsKatapa, Rosalia Sam, Keen, K. J.
    Classifications
    LC ClassificationsAQ278.2 S75 1987
    The Physical Object
    Pagination30 leaves. --
    Number of Pages30
    ID Numbers
    Open LibraryOL16656324M


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Estimation of interclass and intraclass correlations in multivariate familial data by M. S. Srivastava Download PDF EPUB FB2

Asymptotic distribution, interclass and intraclass correlation matrices interval estimation hypothesis testing multivariate familial data Research supported by the Department of Statistics, the Pennsylvania State University and the Air Force Office of Scientific Research under Grant AFSO A brief review of estimation and tests of hypotheses concerning interclass and intraclass correlations from familial data is given.

A modified likelihood ratio test is proposed for testing the equality of intraclass correlations in two multivariate normal populations. The asymptotic null distribution of the proposed test statistic is ://   interclass and intraclass correlations in the multivariate context of familial data, for which measurements are taken on several characteristics.

This occurs in the analysis of multivariate familial data where one may be interested in assessing the interrelationships among different :// Inferences on interclass and intraclass correlations in multivariate familial data.

Asymptotic distribution, interclass and intraclass correlation matrices, interval estimation, hypothesis testing, multivariate familial data, DOI identifier: /BF Comparison of estimators of interclass and intraclass correlations from familial data Article in Canadian Journal of Statistics 14(1) - 42 December with 15 Reads How we measure 'reads'   The maximum likelihood estimation of sibling correlations (brother-brother, sister-sister, and brother-sister correlations) for unbalanced data from m Estimation of Interclass and Intraclass Correlations in Multivariate Familial Data of interclass and intraclass correlations are derived for more than two quantitative characteristics of   Intraclass and Interclass Correlation Coefficients with Application 59 2 Estimation of the degree of resemblance among family members One of the aims of the analysis of familial data is to estimate the resemblance among the members of a family.

Usually we face two distinct problems: Introduced by C.R. Rao inthe intraclass covariance matrix has seen little use in behavioral genetic research, despite the fact that it was developed to deal with family data.

Here, I reintroduce this matrix, and outline its estimation and basic properties for data sets on pairs of relatives. The intraclass covariance matrix is appropriate whenever the research design or mathematical Estimation and prediction in a multivariate random effects generalized linear model, J.

Amer. Statist. Assoc., 79, [] Roy, S. p-statistics or some generalizations in analysis of variance appropriate to multivariate problems, Sankhya, 4,   Inferences on multivariate measures of interclass and intraclass correlations in familial data (with C. Khatri and C. Rao). Journal of the Royal Statistical Society, Series B, 53 (), In familial data analyses quantifying familial association is scientifically important.

As analogies of the intraclass and interclass correlations of a normally distributed trait, we study intraclass and interclass (log) odds ratios for a binary trait.

We propose non-parametric estimators of the odds ratios and derive the asymptotic variances of the estimators under the assumptions of   The paper deals with the best unbiased estimators of the blocked compound symmetric covariance structure for m-variate observations over u sites under the assumption of multivariate normality.

The free-coordinate approach is used to prove that the quadratic estimation of covariance parameters is equivalent to linear estimation with a properly defined inner product in the space of The intraclass correlation model is well known in the literature of multivariate analysis and it is mainly used in studying familial data.

This model is considered in this paper and the interest is focused on the estimation of the intraclass correlation on the basis of familial data from families which are randomly selected from two or more   This paper considers principal component analysis (PCA) in familial models, where the number of siblings can differ among families.

Konishi and C. Rao (, Biometrika79, –) used the unified estimator of S. Konishi and C. Khatri (, Ann. Inst.–) to develop a PCA derived from the covariance matrix.

However, because of the lack of invariance to We estimate interclass (mom–sib) correlation by maximizing the log-likelihood function of a Kotz-type distribution. The results are illustrated on a real life data set due to ://   Computational Statistics & Data Analysis 15 () North-Holland Estimation of intraclass correlation when family sizes are unequal A.

Bener Department of Community Medicine, United Arab Emirates University, AL-Ain, United Arab Emirates S. Huda Department of Statistics, College of Science, King Saud University, Riyadh, Saudi Arabia Received December Revised Combined Bayesian estimates for equicorrelation covariance matrices are considered.

The case of a common equicorrelation p and possibly different standard deviations σl,σk among k experimental groups is examined first, and the Bayesian estimation of (σ, σ1,σk) is discussed. Secondly, under the assumption of a common standard deviation and possibly different equicorrelations, the Bayesian   Results (sizes of the tests) are provided in Table In the table, the simulation estimates of the sizes of the normal distribution based tests are denoted by LRT N, Wald N, and Score rly those based on Kotz-type distribution are denoted by LRT K, Wald K, and Score values for the non-iterative procedure is denoted by the convenience of presentation, the same The ICC, or Intraclass Correlation Coefficient, can be very useful in many statistical situations, but especially so in Linear Mixed Models.

Linear Mixed Models are used when there is some sort of clustering in the data. Two common examples of clustered data include: individuals were sampled within sites (hospitals, companies, community centers, schools, etc.).

The [ ] ICC(R1, class, type, lab, alpha): outputs a column range consisting of the intraclass correlation coefficient ICC(class, type) of R1 where R1 is formatted as in the data range of Figure 1 of Intraclass Correlation, plus the lower and upper bound of the 1 – alpha confidence interval of Assuming a multivariate linear regression model with one random factor, we consider the parameters defined as exponentials of mixed effects, i.e., linear combinations of fixed and random effects.

Such parameters are of particular interest in prediction problems where the dependent variable is the logarithm of the variable that is the object of In order to do that, we can introduce the transformation used by Srivastava for interclass correlations in familial data.

Let e m = (1,1) T, 0 m = (0, ,0) T be constant m × 1 vectors. I m denotes the m × m identity matrix and 0 m is an m × m zero :// In this paper, we consider a Bayesian model selection for the intraclass correlation coefficient in familiar data.

In particular, we compare two nested models such as the independence and intraclass models using the reference prior.

A criterion for testing is the Bayesian Reference Criterion by Bernardo () and the Intrinsic Bayes Factor by Berger and Pericchi ()?cn=GCGHC8__v13n3_ Request PDF | Bayes estimation of intraclass correlation coefficient | Bayes estimation of the intraclass correlation coefficient, rho, based on improper prior distribution of the eigen values of Inferences for familial (intraclass and interclass) correlations are considered for unbalanced familial data from multivariate normal populations.

The most commonly used familial correlation is that between siblings (without regard to gender), called intraclass or sib-sib correlation :// Estimation of familial correlations under autoregressive circular covariance Article in Communication in Statistics- Theory and Methods 30(8&9)() August with 8 Reads ().

Application of multivariate regression to small domain estimation. Small Area Statistics (). Best linear unbiased estimation and prediction under a selection model. Comparison of estimators of interclass and intraclass correlations from familial :// Comparison of estimators of interclass and intraclass correlations from familial data.

La Revue Canadienne de Statistique 14 29– Zentralblatt MATH: Digital Object Identifier: doi/?verb=Display&version=&service=UI&handle= [文献書誌] Konishi,S.: "Inferences interclass and intraclass correlations in multivariate familial data" Annal of the Inshitute Statistical Mathematics.

() Srivastava, M.S. and Katapa, R.S., Comparison of estimators of interclass and intraclass correlations from familial data. The Canadian Journal of Statistics. v Google Scholar [13]. Bhandary, M. and Alam, M.K., Test for the equality of intraclass correlation coefficients under unequal family sizes for several :// Sadanori Konishi & C.

Khatri, "Inferences on interclass and intraclass correlations in multivariate familial data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages, Chengcheng & Liang, Yuli & Roy, Anuradha, "Equivalency between vertices and centers-coupled-with-radii principal component Estimation of the mean vector of a multivariate normal distribution: Subspace hypothesis.

Journal of Multivariate Analysis Srivastava, M. S., Kubokawa, T. Minimax multivariate empirical Bayes estimators under multicollinearity. Journal of Multivariate Analysis Kubokawa, T., Srivastava, M.

:// Ann. Inst. Stat. Math., 37, 87– Konishi,S. et al. () Inferences on multivariate measures of interclass and n m XX 1 1 intraclass correlations in familial data. Stat. Soc. B, 53, – ^ ¼ x ; ð21Þ x ij n m Lee,H.K. et al. () Coexpression analysis of human genes across j¼1 i¼1 many microarray data ://   A two sample test in high dimensional data.

Multivariate Analysis,Srivastava, M.S., and Reid, N. Testing the structure of the covariance matrix with fewer observations than the ~srivasta/  Web view.

Inferences on multivariate measures of interclass and intraclass correlations in familial data. Journal of the Royal Statistical Society ; - Google Scholar   where r I is the intraclass correlation and r ii' denotes the interclass correlation between ith and i'th group.

For constant class size (as in seen in regular pedigrees eg parents and twin offspring), r I = [S 2 b /S 2 w - 1]/[k-1 + S 2 b /S 2 w].

The intraclass correlation then is the common correlation between members of the same class, and the interclass correlation represents the common In general, the correlations observed with our pedometer data appear to be of a similar magnitude when compared to other familial outcomes or traits, either behavioral or physiological.

Behavioral outcomes such as energy intake have been found to aggregate in families with weak to moderate parent-child correlations (r = –) [34], [35]. Intraclass correlation coefficients are designed to assess consistency or conformity between two or more quantitative measurements.

When multistage cluster sampling is implemented, no methods are readily available to estimate intraclass correlations of binomial‐distributed outcomes within a cluster. Because statistical distribution of the intraclass correlation coefficients could be Konishi, Sadanori; Khatri, C.

G.; Rao, C. Radhakrishna () Inferences on multivariate measures of interclass and intraclass correlations in familial data Journal of the Royal Statistical Society - Series B: Statistical Methodology, 53 (3). ISSN =3ACalyampudi_Radhakrishna_=3A=.

Methods to unravel the genetic determinants of non‐Mendelian diseases lie at the next frontier of statistical approaches for human genetics. It is generally agreed that, before proceeding with segregation or linkage analysis, the trait under study ought to be shown to exhibit familial correlation.

By coding dichotomous traits as binary variables, a single robust approach in the estimation of Title: The Effect of Mother’s Age and Other Related Factors On Neonatal Survival Associated With First And Second Birth In Rural, Tanzania: Evidence From Ifakara   She has written many books and articles such as Comparison of estimators of interclass and intraclass correlations from familial data (), Estimation of interclass and intraclass correlation in multivariate familial data (), A test of hypothesis on familial correlations (), Gender differences in school performance: Evidence from the