Estimating and testing the significance of correlation coefficient obtained from truncated bivariate normal distribution
TL;DR: In this paper, the authors have given a methodology to estimate the correlation coefficient be- tween Combined Admission Test (CAT) score and Cumulative Grade Point Average (CGPA) of the students by truncating the CAT score at different cut-off points.
Abstract: In this paper we have given a methodology to estimate the correlation coefficient be- tween Combined Admission Test (CAT) score and Cumulative Grade Point Average (CGPA) of the students by truncating the CAT score at different cut-off points. An expression for asymptotic variance of estimated value of correlation coefficient has been derived for testing the hypothesis H0: ρ = 0 against the alternative H1: ρ > 0.
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01 Jan 2017
TL;DR: In this article, the authors developed a model that is mainly based on the two-period newsvendor problem, but assumes that demand is interdependent, i.e. it is actually a combination of inventory and project management.
Abstract: Article history: Received: July 5, 2017 Received in revised format: August 28, 2017 Accepted: September 7, 2017 Available online: September 7, 2017 The objective of the present study is to determine the start times and ordering plans for twoperiod projects in project-oriented organizations. The following assumptions are made: orders can be placed in either of a project’s two consecutive periods; and the same raw materials are used, which are ordered at the start of the periods according to their interdependent demands. The main innovation of the present research is to develop a model that is mainly based on the two-period newsvendor problem, but assumes that demand is interdependent, i.e. it is actually a combination of inventory and project management. After presenting the model, numerical methods are used to approximate the order quantities for each period. Near-optimal solutions of a numerical example, in a case study on molding industry, are obtained using a genetic algorithm. Results show that the proposed model with interdependent demand provides a better solution than independent demand. The model is applicable to large-scale industrial and construction projects where the majority of raw materials have of the same nature. 2017 Growing Science Ltd.
17 citations
Cites background from "Estimating and testing the signific..."
...Zhang (2010) 1 Independent All-unit Zhang and Du (2010) 1 Independent Zhang and Hua (2010) 1 Independent Chen and Ho (2011) 1 1 Independent Huang et al....
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...The truncated demand distribution function can be defined as (Singh et al., 2016):...
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...The truncated demand distribution function can be defined as (Singh et al., 2016): (13)...
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TL;DR: In this article, an approximate likelihood ratio (ALR) test was proposed to check if there is equality of several partial correlation coefficients or not using several independent multinormal samples.
Abstract: Abstract We develop an approximate likelihood ratio test in this article and this test can be used to check if there is equality of several partial correlation coefficients or not using several independent multinormal samples. We also discuss about large sample χ2-test for the same problem. We compare the two tests based on their power and it is found that the approximate likelihood ratio (ALR) test consistently has more power than χ2-test. The ALR test has size slightly more than alpha level. We strongly recommend the ALR test for data analysis.
1 citations
TL;DR: In this paper, the authors presented reference tables to estimate the values of density and cumulative density functions of truncated normal distribution for practitioners, and they explained how to use the tables for estimating other properties, such as mean, median and variance.
Abstract: The single- and double-sided truncated normal distributions have been used in a wide range of engineering fields. However, most of the previous research works have focused primarily on the non-truncated population distributions. The authors present reference tables to estimate the values of density and cumulative density functions of truncated normal distribution for practitioners. Finally, the authors explain how to use the tables to estimate other properties, such as mean, median and variance. The purpose of this paper is to provide an efficient method to summarize tables, and furthermore, to provide readers with statistical tables on truncated standard normal distribution.,A new methodology is developed to summarize the tables with ordered values. The introduced method allows for the reduction of the number of pages required for such tables into a reasonable level by using linear interpolation. Moreover, it allows for the estimation of the required truncation values accurately with an error value less than 0.005.,The data in the tables can be summarized into a significantly reduced amount. The new summarized table can be designed for any number of pages and/or level of error wanted. However, with reducing the level of error, the number of pages increases and vice versa.,The value of this work is through two major points. First, all provided summarized tables in the literature are for single-sided and symmetry truncation cases. However, there is no attempt to summarize the tables of the asymmetry truncation normal distribution due to the requirement of huge number of pages. In this paper, the case of asymmetry truncation is included. Second, the methodology provided in this research can be used to summarize similar large tables.
1 citations
Cites methods from "Estimating and testing the signific..."
...[28] considered the estimation and testing of correlation coefficient obtained from truncated bivariate normal distribution....
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References
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TL;DR: The correlation in a singly truncated binormal distribution is obtained in terms of Mills' ratio using the Mehler identity and a table of the correlations in the underlying distribution as a function of the correlation in the truncated distribution is presented.
Abstract: The correlation in a singly truncated binormal distribution is obtained in terms of Mills' ratio using the Mehler identity. A table of the correlation in the underlying distribution as a function of the correlation in the truncated distribution is presented, together with a diagram summarizing this relationship.
33 citations
"Estimating and testing the signific..." refers background or methods in this paper
...An expression, similar to (1), has been reported later by Hunter and Schmidt (1990)....
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...1 1 var ( ) r X ρ ρ ρ − − = + ...(1)...
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...…Framework: An estimate for the correlation coefficient ( ρ ) from a singly truncated bivariate normal population has been obtained from the equation (Aitkin, 1964): 1/22 2 1 1 var ( ) r X ρρ ρ − − = + ...(1) An expression, similar to (1), has been reported later by Hunter and Schmidt (1990)....
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