The Distribution of the Sample Correlation Coefficient With One Variable Fixed
نویسنده
چکیده
For the usual st raight·line model, in whic h the independent variable ta kes on a fixed, kno wn se t of va lues, it is shown that the sample corre lation coeffi cie nt is distributed as Q with (n-2) degrees of freedom and noncentralit y O=({3 /CT) V~(Xi X)2. The Q variate has been defin ed and studied e lse· where by Hogben et al. It is noted that the square of the correlation coeffi cient is di stributed as a noncentral beta variab le.
منابع مشابه
Model Selection for Mixture Models Using Perfect Sample
We have considered a perfect sample method for model selection of finite mixture models with either known (fixed) or unknown number of components which can be applied in the most general setting with assumptions on the relation between the rival models and the true distribution. It is, both, one or neither to be well-specified or mis-specified, they may be nested or non-nested. We consider mixt...
متن کاملبررسی ارتباط متغیرهای اقلیمی و بروز حملات آسم منجر به بستری در بیمارستان کودکان شهر خرمآباد از سال 1379 لغایت 1387
Background : Asthma is one of the commonest chronic childhood diseases and one of the main factors of hospital admission at these ages. The main causes of increasing death due to asthma are inability in the diagnosis and piddling the severity of the diseases, delay in the recourse and inappropriate treatment. Therefore the early diagnosis of children at risk for urgent admission in special care...
متن کاملFlux Distribution in Bacillus subtilis: Inspection on Plurality of Optimal Solutions
Linear programming problems with alternate solutions are challenging due to the choice of multiple strategiesresulting in the same optimal value of the objective function. However, searching for these solutions is atedious task, especially when using mixed integer linear programming (MILP), as previously applied tometabolic models. Therefore, judgment on plurality of optimal m...
متن کاملComparison between Frequentist Test and Bayesian Test to Variance Normal in the Presence of Nuisance Parameter: One-sided and Two-sided Hypothesis
This article is concerned with the comparison P-value and Bayesian measure for the variance of Normal distribution with mean as nuisance paramete. Firstly, the P-value of null hypothesis is compared with the posterior probability when we used a fixed prior distribution and the sample size increases. In second stage the P-value is compared with the lower bound of posterior probability when the ...
متن کاملEconomic Statistical Design of Multivariate T^2 Control Chart with Variable Sample Sizes
Today, quality improvement and cost reduction are key factors for achieving business success, growth and position. One of the primary tools for quality improvement and cost reduction in online activities of statistical process control is control charts. As the need for monitoring several correlated quality characteristics is extensively growing, the use of multivariate control charts become...
متن کامل