• Title/Summary/Keyword: 표본평균

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혼합설계의 교호작용에 대한 여러 검정법들과 결사평균을 이용하여 변형한 검정법들의 강인성 비교

  • 김현철
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.633-644
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    • 1998
  • 혼합설계의 교호작용에 대한 F 검정이 유효하려면 다표본 구형성(multisample sphericity) 가정과 다변량 정규분포 가정이 만족되어야 한다. F 검정을 실시하기 위한 가정들이 위반된 조건하에서 혼합설계의 교호작용에 대한 검정법들의 1종오류가 비교되었다. 비교된 검정법들은 (1) F 검정(F), (2) 절사평균을 사용한 F 검정($F_T$)(3)$\varepsilon$-수정 F 검정($\varepsilon)$(4) 절사평균을 사용한 $\varepsilon$-수정 F 검정$(\varepsilon_T$) (5) CIGA검정(CIGA), (6) 절사평균을 사용한 CIGA검정($CIGA_T$)이었다. 결과는 CIGA와 $CIGA_T$는 1종오류를 대체로 잘 관리하나, F검정들과 ($\varepsilon$)검정들은 일부 조건에서 아주 작은 1종오류나 아주 큰 1종오류를 갖는 것으로 나타났다.

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Estimator of the Mean Residual Life for Some Parametric Families (모수족에서 평균 잔여수명의 추정량)

  • Kuey Chung Choi;Kyung Hyun Nam
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.89-100
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    • 1994
  • In this paper we consider a new estimator of mean residual life (MRL), based on the partial moment of the distribution. The parameters of a partial moment are estimated by its maximum likelihood estimators when the underlying distribution is known. Though the new estimator is not a consistent estimator of the MRL, it is shown to have smaller mean squared error than the well known empirical MRL estimator for certain parametric families. Numerical summaries of the mean squared errors of the new estimator are presented.

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SO2 규제가 미국 석탄발전산업에 미치는 영향 - 일반비용함수를 통한 재고찰 -

  • Lee, Myeong-Heon
    • Environmental and Resource Economics Review
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    • v.4 no.2
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    • pp.267-289
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    • 1995
  • 석탄에 대한 아황산가스 규제가 발전산업에 미치는 제반 효과들을 측정하기 위해서는 생산요소의 왜곡된 분배로 인한 생산비용의 증가 또한 고려하여 암묵요소가격을 이용한 일반비용함수를 추정해야 한다. 아황산가스 규제를 포함한 여러 형태의 규제하에서 생산요소간의 한계기술대체율이 시장가격율과 일치하지 않음으로써 기업들의 생산비용최소화는 이루어지지 않기 때문이다. 1975년부터 1990년까지의 표본기간동안 아황산가스 규제로 인하여 미국 석탄발전소들의 생산비용이 평균적으로 6.1% 증가되었고 아황산가스를 추가적으로 1톤 저감하는데 드는 한계비용을 배출량몫 가중평균치로 측정하면 규제를 받은 기업들은 평균적으로 매년 539달러를 소비하였다. 생산요소인 자본과 노동 그리고 저유황석탄의 수요량은 평균적으로 5.8%, 5.2%, 그리고 29.6% 각각 증가된 반면 고유황석탄 수요량은 0.7% 감소되었으며 규제를 받은 기업들의 연 생산성은 평균적으로 1.52% 감소되었다.

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Statistical methods for testing tumor heterogeneity (종양 이질성을 검정을 위한 통계적 방법론 연구)

  • Lee, Dong Neuck;Lim, Changwon
    • The Korean Journal of Applied Statistics
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    • v.32 no.3
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    • pp.331-348
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    • 2019
  • Understanding the tumor heterogeneity due to differences in the growth pattern of metastatic tumors and rate of change is important for understanding the sensitivity of tumor cells to drugs and finding appropriate therapies. It is often possible to test for differences in population means using t-test or ANOVA when the group of N samples is distinct. However, these statistical methods can not be used unless the groups are distinguished as the data covered in this paper. Statistical methods have been studied to test heterogeneity between samples. The minimum combination t-test method is one of them. In this paper, we propose a maximum combinatorial t-test method that takes into account combinations that bisect data at different ratios. Also we propose a method based on the idea that examining the heterogeneity of a sample is equivalent to testing whether the number of optimal clusters is one in the cluster analysis. We verified that the proposed methods, maximum combination t-test method and gap statistic, have better type-I error and power than the previously proposed method based on simulation study and obtained the results through real data analysis.

Relationship between Household Air Quality and Hearing Loss in Korean Adults: Analysis of Data from The Korea National Health and Nutrition Examination Survey 2020~2021 (우리나라 성인에서 가정 실내공기질과 난청 사이의 관계: 국민건강영양조사 2020~2021)

  • Sang Shin PYO
    • Korean Journal of Clinical Laboratory Science
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    • v.56 no.3
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    • pp.248-256
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    • 2024
  • The purpose of this study was to identify the household air pollutants most significantly impacting hearing loss, using data from the 8th Korea National Health and Nutrition Examination Survey. Of the 1,980 participants, those with missing data were excluded from the study population, resulting in the final inclusion of 298 participants. Mild hearing loss is defined as a unilateral or bilateral pure-tone threshold average (PTA) of 26~40 dB, and moderate hearing loss is defined as a unilateral or bilateral PTA of 41 dB or higher. The mean of the PTAs for both ears is defined as the sum of the PTAs of the left and the right ears divided by 2. Complex samples multiple logistic regression analysis revealed that formaldehyde exposure independently significantly increased the risk of moderate hearing loss (odds ratio=1.050, P<0.001). Additionally, in the complex samples general linear model, toluene exposure (B=0.026, P<0.001) was found to be independently significantly associated with an increase in the mean of PTAs for both ears, where a higher mean of the PTAs for both ears indicates a decrease in hearing ability. These results suggest a strong association between hearing loss and the presence of toluene or formaldehyde in indoor air.

INDIVIDUALIZED RECONSTRUCTION OF THE LOWER OCCLUSAL PLANE ACCORDING TO SKELETAL PATTERN (안면 골격 형태에 따른 하악 교합평면의 재구성)

  • Hyun, Seong-Wook
    • The korean journal of orthodontics
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    • v.25 no.4
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    • pp.465-485
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    • 1995
  • The purpose of this study is to locate the proper position of the lower occlusal plane according to individual skeletal pattern. Cephalometric films of 234 subjects of the control group, 358 of the pretreatment group and 358 of the treated group were analyzed to study proper relationships between vertical dimension ratio(VDR) and lower occlusomandibular plane angle(LOM). The control group was divided into two subgroups by the age. The first subgroup consisted of 113 subjects of the age 14 years and under and with the mean age of 10.82 years. The other subgroup consisted of 113 subjects of the age 18 years and above with the mean age of 23.76 years. The pretreatment group was divided into three subgroups by the age. The first subgroup consisted of 274 subjects of the age 14 years and under with the mean age of 11.36 years. The second subgroup consisted of 54 subjects of the age 14 through 18 years with the mean age of 15.4 years. The last subgroup consisted of 30 subjects of the age 18 years and above with the mean age of 21.35 years. The treated group was also divided into three subgroups by the age. The first subgroup consisted of 145 subjects of the age 14 years and under with the mean age of 12.91 years. The second subgroup consisted of 166 subjects of the age 14 through 18 years with the mean age of 15.64 years. The last subgroup consisted of 47 subjects of the age 18 years and above with the mean age of 21.61 years. Cephalometric films of the sample were traced. Measurements were made to a hundredth using a program specifically prepared for this study, and the results were entered into a 486DX PC. Means and Standard deviations of all the veriables were calculated for each group. Correlation coefficients between pertinent variables were calculated. Significance tests on those coefficients, one-way ANOVA and t-tests between variables or groups were performed. On the basis of the results studied above, certain subjects were selected from the control and the treated groups to locate the proper position of the occlusal plane, and designated as the optimal occluaion group. The subjects of this optimal occlusion group had 1-3 mm overbite, 1-3 mm of overjet and less than 1.75 mm of curve of Spee. A total subjects of 187 in this group consisted 104 treated subjects and 83 control group. Regression analysis was carried out between VDR and LOM, and regression equations were tabulated for this optimal occlusion group. The results were as follows : 1. Highly significant correlations were observed between various variables useful for identifying vertical component of skeletal frame, but any one particular variable did not accurately indicate the magnitude of anterior vertical overbite. 2. Of the variables useful identifying vertical component of skeletal frame, The VDR showed the highest correlation to the LOM. 3. Of the total sample, 80 percent had overbite within the normal range, irrespective of VDR. 4. The optimal occlusion group was divided into 9 subgroups by the age and the anteroposterior skeletal pattern, and correlation coefficient and determination coefficient between VDR and LOM of each group were calculated. Correlation coefficients and determination coefficients were found to be significantly high in all groups. 5. Regression equation was induced for each of the optimal occlusion group to find proper LOM according to the VDR. 6. It was found that the mean value of the cant of occlusal plane itself is not enough for a diagnosis and a treatment plan. Rather, It is very important to locate the proper occlusal plane for an Individual skeletal pattern.

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Using the Sample IQR for Calculating Sample Size (표본크기 결정을 위한 IQR의 활용방법)

  • 홍종선;김현태;윤상호;정민정
    • The Korean Journal of Applied Statistics
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    • v.16 no.1
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    • pp.181-193
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    • 2003
  • Without a sample standard deviation for an estimator of the population standard deviation u in a sample size computations, we often use some functions of a sample range (R) or interquartile range (IQR) by an estimator of $\sigma$. In order to avoid under-powered studies, these estimates must have a high probability of being greater than or equal to $\sigma$. In this paper, these probabilities of being greater than or equal to $\sigma$ are estimated for IQR for various parents distributions, and are compared with the probabilities for R/4 (Browne 2001). Alternative divisors (K) are explored and discussed for which the probabilities of R/K and IQR/K being greater than or equal to $\sigma$ is at least 95%.

Analysis of Spatial Variability for Infiltration Rate of Field Soil -I. Variogram (토양(土壤)중 물의 침투속도(浸透速度)의 공간변이성(空間變異性) 분석(分析) -I. Variogram)

  • Park, Chang-Seo;Kim, Jai-Joung;Cho, Seong-Jin
    • Korean Journal of Soil Science and Fertilizer
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    • v.16 no.4
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    • pp.305-310
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    • 1983
  • Spatial variability of infiltration rates of 96 samples from Hwadong SiCL was studied by using geostatistical concepts. The measurement was made at the nodes of the regular grid consisting of 12 rows and 8 columns. Sample spacing within rows and columns was 3 and 2 meters, respectively. This study illustrated the use of variogram as a tool to identify the degree of dependency of the infiltration rate on the distance between pairs of measurements and how to take advantage of this dependency. Fractile diagram showed that the distribution of observation was approximately normal. The range of the variogram was about 7.4 meters. The minimum number of samples necessary to reproduce the results similar to the 96 measured values was 8 to 10. Coefficients of theoretical variogram function for computing kriged values and kriged varionces of nuogget effect, slope, and range were 0.444 cm/day, 0.003 cm/day, and 7.4 m, respectively.

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Assessment on Forest Resources Change using Permanent Plot Data in National Forest Inventory (국가산림자원조사 고정표본점 자료를 활용한 산림자원변화 평가에 관한 고찰)

  • Yim, Jong-Su;Kim, Eun Sook;Kim, Chel Min;Son, Yeong Mo
    • Journal of Korean Society of Forest Science
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    • v.104 no.2
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    • pp.239-247
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    • 2015
  • Since 2006, new national forest inventory in Korea has been restructured to assess current status and and monitor the changes in forest resources based on permanent sample plots. The objective of estimate this study is to assess changes in forest resources such as land use/cover categories and forest stand variables. For this study, permanent plot data were collected between 2006-2008 and 2011-2013 in Chungcheongbuk-do, respectively. In order to produce land use/cover change matrix which plays an important role as an activity data for estimating GreenHouse Gas inventory, permanent plots were classified into six land use/cover categories. Additionally, matrixes for assessing the changes in age class and dominant tree species can provide more detailed information. For forest stand variables(tree density, basal area, growing stock, mean diameter at breath height, and mean height), their growth and change were assessed. The periodic annual growth ratios for tree density and basal area were slightly declined whereas that of growing stock was estimated to be about 3.7%. The uncertainty of changes in forest stand variables is less than 5%, except for tree density (RSE: 58%). The variation of tree density is relatively high compared to the other variables.

Application of Synthetic Estimator for Estimating Forest Growing Stock Volumes at the Small-Area Level (소면적의 산림축적량 추정을 위한 합성추정법의 적용)

  • Yim, Jong-Su;Han, Won-Sung;Jung, Il-Bin;Kim, Sung-Ho;Shin, Man-Yong
    • Journal of Korean Society of Forest Science
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    • v.99 no.3
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    • pp.285-291
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    • 2010
  • Since 2006, the $5^{th}$ National Forest Inventory (NFI) has been implemented to provide forest resources statistics at the national level and at the county level as well. However, it needs a small-area estimator for estimating forest statistics at the county-level due to a small number of samples collected within a county. This study was conducted to evaluate the applicability of a geographical-based synthetic estimator for estimating forest growing stock volumes at the county level. The NFI-field plots surveyed were post-stratified into three forest cover types. In the synthetic estimator, field plots within a geographical-based super-county for each county were used to estimate stratum weights and stratum mean volumes. It was resulted that estimated stratum weights using the synthetic estimation were significantly differ from forest cover maps. The standard errors of estimated mean by the synthetic estimation that ranged from ${\pm}3.5\;m^3$/ha to ${\pm}7.7\;m^3$/ha were more smaller than those (${\pm}7.8\;m^3/ha{\sim}{\pm}24.7\;m^3/ha$) by the direct estimation. This means that the synthetic estimation is possible to provide more precise estimates of mean volumes.