• Title/Summary/Keyword: normal mean

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On the Robustness of Chi-square Test Procedure for a Compounded Multivariate Normal Mean

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.330-335
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    • 1995
  • The rebustness of one sample Chi-square test for multivariate normal mean vector is investigated when the multivariate normal population is mixed with another multivariate normal population with differing in the mean vector. Explicit expressions for the level of significance and power of the test are derived. Some numerical results indicate that the Chi-square test procedure is quite robust against slight mixtures of multivariate normal populations differing in location parameters.

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Iron Status in Female College Students in the Gyeongnam Area (경남 일부지역 여대생의 철 영양상태에 관한 연구)

  • Park, Mi-Young;Kim, Sung-Hee
    • Journal of Nutrition and Health
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    • v.44 no.3
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    • pp.222-230
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    • 2011
  • This study was undertaken to investigate iron status and related factors in female college students residing in Gyeongnam. The subjects were divided into normal (40.8%) and iron deficiency (ID) groups (59.2%) by iron status. Mean height, weight, lean body mass, percent body fat, body mass index, and wrist to hip ratio were not significantly different between the groups, but basic metabolic rate was significantly higher in the normal group than that in the ID group. The levels of hemoglobin, hematocrit, serum ferritin, transferrin saturation, mean corpuscular volume, mean corpuscular hemoglobin, and mean corpuscular hemoglobin concentration were significantly higher in the normal group than those in the ID group. However, total iron binding capacity was significantly lower in the normal group than that in the ID group. Daily intake of protein, heme-Fe, niacin, and vitamin C were significantly higher in the normal group than those in the ID group. The mean intake of protein, Fe, niacin, vitamin $B_{12}$, and vitamin C based on the Korean recommended intake (RI) were significantly higher in the normal group than those in the ID group. The mean intakes of Ca, vitamin $B_{12}$, and folate in both groups were < 75% of the Korean RI. In conclusion, increasing dietary heme-Fe and vitamin C may be helpful for preventing ID anemia in female college students.

SEQUENTIAL CONFIDENCE INTERVALS WITH ${\beta}-PROTECTION$ IN A NORMAL DISTRIBUTION HAVING EQUAL MEAN AND VARIANCE

  • Kim, Sung-Kyun;Kim, Sung-Lai;Lee, Young-Whan
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.479-488
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    • 2007
  • A sequential procedure is proposed in order to construct one-sided confidence intervals for a normal mean with guaranteed coverage probability and ${\beta}-protection$ when the normal mean and variance are identical. First-order asymptotic properties on the sequential sample size are found. The derived results hold with uniformity in the total parameter space or its subsets.

Study on the Erythrocyte Zinc Proctoporphyrin and ZPP/Heme Ratio in Normal Korean (한국인 적혈구 Zinc Protoporphyrin 및 ZPP/Heme Ratio에 관한 연구)

  • 채범석
    • Journal of Nutrition and Health
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    • v.25 no.7
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    • pp.608-616
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    • 1992
  • Using the hematofluiorometer normal values of the erythrocyte zinc protoporphyrin(ZPP) and ZPP/Heme ratio were measured in 312 males and 163 females aged from 6 month to 73 years old and compared with those of anemic persons. The mean$\pm$SD values of ZPP of normal Koreans were 28.5$\pm$6.4($\mu\textrm{g}$/dl) in males and 3.18$\pm$7.7 in females. the mean$\pm$SD of ZPP/Heme ratio were 49.5$\pm$12.3($\mu$mol/mol heme) in males and 62.0$\pm$15.8 in females. The difference in the mean ZPP and ZPP/Heme ratio values between male and female subjects were statistically signficant(p<0.0001) In male subjects the mean ZPP and ZPP/Heme ratio of the age groups less than 15 years old were higher than adult groups and the difference between age groups was significant(p<0.005 and p<0.0001 respecti-vely) The normal upper limit of the mean$\pm$2SD in normal male and female subjects were 41.3 and 47.2 for ZPP and 74.1 and 93.6 for ZPP/Heme ratio respectively. The mean values of ZPP and ZPP/Heme ratio measured in the anemic persons were higher than those of normal subjects and did not show any significant difference by the sex and age groups except in 6-14 years male groups. The test specificity(positivity) analyzed in the anemic persons by the cut-off values calculated from the normal data were 50.6% for ZPP and 73.0% for ZPP/Heme ratio. The correlation analysis between blood hemoglobin and erythrocyte ZPP or ZPP/Heme ratio in the total 801 normal and anemic subjects showed that there are very high logarithmic correlation between the hemoglobin levels and ZPP/Heme ratio (r=-0.8339) and high correla-tion between the hemoglobin levels and ZPP concentrations(r=-0.6372) These results suggested that the measurement of the erythrocyte ZPP and ZPP/Heme ratio with the hematofluorometer can be a usuful screening method for iron deficiency anermin because they provide a reliable immediate results with a small amount of sample and are relatively simple and inexpensive.

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A Study on the Blood Chemical Values of the Infertile Dairy Cattle Raised in the High-land (고지사육 번식장해 유우의 혈액화학치에 관한 연구)

  • Kim Doo;Goh Gwang-Du;Park Choon-Keun;Kim Hyun-Ki
    • Journal of Veterinary Clinics
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    • v.6 no.1
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    • pp.193-198
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    • 1989
  • This study was performed to determine the blood chemical values of the 50 normal multiparous and 98 infertile dairy cattle which were raised in the high-land of kangweon area. The results obtained in this study were summerized as follow. 1. The mean values of the serum total protein, albumin and A/G ratio the infertile dairy cattle were lower than those of the normal multiparous dairy cattle. 2. The mean value of the serum globulin of the infertile dairy cattle was higher than that of the normal multiparous dairy cattle. 3. The mean values of the serum total cholesterol, glucose, calcium and inorganic phosphorus of the infertile dairy cattle were lower than those of the normal multiparous dairy cattle. 4. The mean value of the SGOT of the Infertile dairy cattle was higher than that of the normal multiparous dairy cattle.

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Effects to the Growth after Administration of Seongjangbojunggeonatang (성장보중건아탕(成長補中健兒湯) 투여가 소아의 신장 성장에 미치는 효과)

  • Yu, Hyun-Young;Kim, Ki-Bong;Min, Sang-Hyun;Kim, Jang-Hyun
    • The Journal of Pediatrics of Korean Medicine
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    • v.23 no.2
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    • pp.103-115
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    • 2009
  • Objectives : The purpose of this study is to determine the effects of Seongjangbojunggeonatang treatment on the growth of children. Methods : This study was conducted with the 121 children in age of 6 to 14 years old who visited the Department of Pediatrics, Oriental Hospital in Seongnam-si, Gyeonggi-do, Korea. We measured height at the first time visit, and after 12 months. The data we collected were analyzed based on the standards growth chart, 2007. Results : 1. The mean heights of 6 to 11 year-old boys after administration of Seongjangbojunggeonatang were significantly higher compared to normal average height (p < 0.01). The mean heights of 12 to 13 year-old boys after administration of Seongjangbojunggeonatang were significantly higher than normal average height (p < 0.01). The mean heights of 14 year-old boys after administration of Seongjangbojunggeonatang were significantly higher than normal average height (p < 0.05). 2. The mean heights of 6 to 9 year-old girls after administration of Seongjangbojunggeonatang were significantly higher than normal average height (p < 0.01). The mean heights of 10 to 11 year-old girls after administration of Seongjangbojunggeonatang were significantly higher than normal average height (p < 0.05). The mean heights of 12 to 14 year-old girls after administration of Seongjangbojunggeonatang were significantly higher than normal average height (p < 0.05).

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A Study on a Measure for Non-Normal Process Capability (비정규 공정능력 측도에 관한 연구)

  • 김홍준;김진수;조남호
    • Proceedings of the Korean Reliability Society Conference
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    • 2001.06a
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    • pp.311-319
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    • 2001
  • All indices that are now in use assume normally distributed data, and any use of the indices on non-normal data results in inaccurate capability measurements. Therefore, $C_{s}$ is proposed which extends the most useful index to date, the Pearn-Kotz-Johnson $C_{pmk}$, by not only taking into account that the process mean may not lie midway between the specification limits and incorporating a penalty when the mean deviates from its target, but also incorporating a penalty for skewness. Therefore we propose, a new process capability index $C_{psk}$( WV) applying the weighted variance control charting method for non-normally distributed. The main idea of the weighted variance method(WVM) is to divide a skewed or asymmetric distribution into two normal distribution from its mean to create two new distributions which have the same mean but different standard distributions. In this paper we propose an example, a distribution generated from the Johnson family of distributions, to demonstrate how the weighted variance-based process capability indices perform in comparison with another two non-normal methods, namely the Clements and the Wright methods. This example shows that the weighted valiance-based indices are more consistent than the other two methods In terms of sensitivity to departure to the process mean/median from the target value for non-normal process.s.s.s.

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An Empiricla Bayes Estimation of Multivariate nNormal Mean Vector

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.15 no.2
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    • pp.97-106
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    • 1986
  • Assume that $X_1, X_2, \cdots, X_N$ are iid p-dimensional normal random vectors ($p \geq 3$) with unknown covariance matrix. The problem of estimating multivariate normal mean vector in an empirical Bayes situation is considered. Empirical Bayes estimators, obtained by Bayes treatmetn of the covariance matrix, are presented. It is shown that the estimators are minimax, each of which domainates teh maximum likelihood estimator (MLE), when the loss is nonsingular quadratic loss. We also derive approximate credibility region for the mean vector that takes advantage of the fact that the MLE is not the best estimator.

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Likelihood Ratio Test for the Equality of Two Order Restricted Normal Mean Vectors

  • Jeon Hyojin;Choi Sungsub
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.159-164
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    • 2000
  • In the study of the isotonic regression problem, several procedures for testing the homogeneity of a normal mean vector versus order restricted alternatives have been proposed since Barlow's trial(1972). In this paper, we consider the problem of testing the equality of two order restricted normal mean vectors based on the likelihood ratio principle.

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Noninformative priors for the common mean in log-normal distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1241-1250
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    • 2011
  • In this paper, we develop noninformative priors for the log-normal distributions when the parameter of interest is the common mean. We developed Jeffreys' prior, th reference priors and the first order matching priors. It turns out that the reference prior and Jeffreys' prior do not satisfy a first order matching criterion, and Jeffreys' pri the reference prior and the first order matching prior are different. Some simulation study is performed and a real example is given.