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Modified Confidence Intervals by Broemeling's Method in Two-Factor Nested Variance Components Model
강관중 한국자료분석학회 2008 Journal of the Korean Data Analysis Society Vol.10 No.3
The confidence intervals for (수식) are given in various forms by many authors in two-factor nested variance components model (수식). In this model, the confidence intervals by using Broemeling's method for (수식) are given by an asymptotic confidence intervals. By the simulations results of this confidence coefficients are not fit exactly the given confidence coefficient 1-alpha. Thus, we would like to give one of the improved confidence intervals for (수식)2 by using Broemeling's method in two-factor nested variance components model.
강관중 한국자료분석학회 2010 Journal of the Korean Data Analysis Society Vol.12 No.5
The confidence intervals for [수식] are given in various forms by many authors in two-factor nested variance components model [수식] . In this model, Broemeling's(1969) method confidence intervals for [수식] are given by an asymptotic confidence intervals. By the simulation results of this Broemeling's(1969) method confidence coefficients are not fit exactly for the given confidence coefficients and the ranges are too wide to use for estimation and test. Thus, we would like to give one of the modified Broemeling's(1969) method confidence intervals for [수식] in this model. And by the simulation results, this modified confidence coefficients are better than those obtained by using Broemeling's(1969) method confidence coefficients, and we show that this modified confidence intervals can use for estimation and test.
강관중,이재용 한국자료분석학회 2012 Journal of the Korean Data Analysis Society Vol.14 No.3
The confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are given in various forms by many authors in two-factor nested variance components model y_ijk = mu + A_i + B_ij + C_ijk. In this model, we can find out the confidence intervals for sigma_A^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) and the confidence intervals for sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using Broemeling’s method of the confidence intervals for sigma_A^2 / sigma_C^2 and the confidence intervals for sigma_A^2 / sigma_B^2. And by using those two confidence intervals for sigma_A^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) and sigma_C^2 `/ ( sigma_A^2 + igma_B^2 + sigma_C^2 ), we can find out a confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ). By the simulation results of those confidence intervals are not fit exactly for 100 ( 1 - alpha ) % confidence intervals, and the ranges of width are wide to use for estimation and test. Thus, we gave a new modified confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using those results of confidence intervals. And by the simulation results of the modified confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are better than those obtained by using Broemeling's method of confidence intervals, and we can use for estimation and test.
강관중,박성민 한국자료분석학회 2012 Journal of the Korean Data Analysis Society Vol.14 No.6
The confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are given in various forms by many authors in two-factor nested variance components model Y_ijk = mu + A_i + B_ij + C_ijk. In this model, we can find out the confidence intervals for sigma_A^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) and the confidence intervals for sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using Wang’s methods of the confidence intervals for sigma_A^2 / sigma_C^2 and the confidence intervals for sigma_A^2 / sigma_B^2. And we can find out a confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using those two confidence intervals for sigma_A^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) and sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ). The simulation results show that the results of the confidence intervals are not fit exactly for 100(1-alpha)% confidence intervals, and the ranges of width are wide to use for estimation and test. Thus, we gave a new modified confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using those two results of confidence intervals. And by the simulation results of the modified confidence intervals for sigma_B^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are better than those obtained by using Wang's methods of confidence intervals, and we can use for estimation and test.
강관중 한국자료분석학회 2011 Journal of the Korean Data Analysis Society Vol.13 No.3
The confidence intervals for σ^2_A/(σ^2_A+σ^2_B+σ^2_C) are given in various forms by many authors in two-factor nested variance components model y_ijk = μ + A_i + B_ij + C_ijk. In this model, Graybill-Wang’s (1980) method confidence intervals for σ^2_A/(σ^2_A+σ^2_B+σ^2_C) are given by an asymptotic confidence intervals. By the simulation results of this confidence coefficients are not fit exactly for the given confidence coefficients and the ranges are too wide to use for test and estimation. Thus, we would like to give one of the modified Graybill-Wang’s (1980) method confidence intervals for σ^2_A/(σ^2_A+σ^2_B+σ^2_C) in this model. And the simulation results of this modified confidence coefficients are better than those obtained by using Graybill-Wang's (1980) method confidence coefficients, and we can use for test and estimation.
강관중,김민규,김흔창,김가영 한국자료분석학회 2014 Journal of the Korean Data Analysis Society Vol.16 No.5
The confidence intervals for sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are given in various forms by many authors in two-factor nested variance components model Y_ijk = mu + A_i + B_ij + C_ijk. In this model, similar to the method of Kang (2014), we can find out the confidence intervals for sigma_B^2 / sigma_C^2 by using Wang’s method of the confidence intervals for sigma_A^2 / sigma_C^2 and sigma_A^2 / sigma_B^2. And we can find out a confidence intervals for sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) by using those of the confidence intervals for sigma_A^2 / sigma_C^2, sigma_A^2 / sigma_B^2 and sigma_B^2 / sigma_C^2. Then, by the simulation results of this confidence intervals for sigma_C^2 / ( sigma_A^2 + sigma_B^2 + sigma_C^2 ) are not fit exactly for 100(1-alpha)% confidence intervals and the ranges of width are wide. Then the confidence intervals are close to 100(1-alpha)% when K is large number from 1,000 to 1,000,000. But this K is too large to use for estimation and test. Thus, we give a new modified confidence intervals for sigma_C^2 / ( sigma_A ^2 + sigma_B^2 + sigma_C^2 ) in this model. The simulation results show that the modified confidence intervals are better than those obtained by using Wang’s method of the confidence intervals, and we can use for estimation and test.
Modified Method on Confidence Intervals for Variance in One-Factor Components-of-Variance Model
강관중 한국자료분석학회 2009 Journal of the Korean Data Analysis Society Vol.11 No.4
The confidence intervals for sigma_A^2 are given in various forms by many authors in one- factor components-of-variance model y_ij = mu + A_i + e_ij. In this model, Howe's(1974) method confidence intervals for sigma_A^2 are given by an asymptotic confidence intervals. By the simulation results of this confidence coefficients are not fit exactly to 1-α/2 confidence coefficients. And this confidence coefficients are close to 1-α/2 when J is large. In this J is too large to use in the simulation. Thus, we would like to give one of the modified Howe's(1974) method confidence intervals for sigma_A^2 in one-factor components-of-variance model. By the simulation results of this modified confidence coefficients are better than those obtained by using Howe's(1974) method confidence coefficients, and we can simulate when J is small.
The Modified Confidence Intervals by Optimal Conditions in One-Factor Component-of-Variance Model
강관중 한국자료분석학회 2006 Journal of the Korean Data Analysis Society Vol.8 No.3
The confidence intervals for sigma_A ^2 are given in various forms by many authors in one-factor component-of-variance model y_ij =mu + A_i +e_ij In this model, Graybill and Wang's(1980) confidence intervals by using Satterthwaite's(1946) method for sigma_A ^2 are given by an asymptotic confidence intervals. The simulations results of confidence coefficients are not fit exactly for the given confidence coefficient. Thus, we would like to give one of the optimal conditions and we can find out the better confidence intervals by the optimal conditions for sigma_A ^2 or the given Graybill and Wang's(1980) confidence intervals using Satterthwaite's(1946) method in one-factor components-of-variance model.
Modified Confidence Intervals by Howe's Method in One-Factor Components-of-Variance Model
강관중 한국자료분석학회 2008 Journal of the Korean Data Analysis Society Vol.10 No.2
The confidence intervals for sigma_A^2 are given in various forms by many authors in one-factor components-of-variance model y_ij =mu + A_i +e_ij. In this model, the confidence intervals by using Howe's(1974) method for sigma_A^2 are given by an asymptotic confidence intervals. By the simulations results of this confidence coefficients are not fit exactly the given confidence coefficient 1-alpha. Thus, we would like to give one of the improved confidence intervals for sigma_A^2 by using Howe's(1974) method in one-factor components-of- variance model.
Modified Method on Confidence Intervals for Variance in Two-Factor Nested Variance Components Model
강관중 한국자료분석학회 2010 Journal of the Korean Data Analysis Society Vol.12 No.2
The confidence intervals for [수식] are given in various forms by many authors in two-factor nested variance components model . In this model, Kimball's(1951) method confidence intervals for are given by an asymptotic confidence intervals. By the simulation results of this confidence coefficients are not fit exactly for the given confidence coefficients and the ranges are too wide to use for test and estimation. Thus, we would like to give one of the modified Kimball's method confidence intervals for [수식] in this model. And the simulation results of this modified confidence coefficients are better than those obtained by using Kimball's method confidence coefficients, and we can use for test and estimation.