• Title/Summary/Keyword: pooled variance

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Calculating Sample Variance for the Combined Data (두 자료들의 평균과 분산을 이용한 혼합자료의 분산 계산)

  • Shin, Mi-Young;Cho, Tae-Kyoung
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.177-182
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    • 2008
  • There are times when we need more sample to achieve a more accurate estimator. Since these two sets of sample have the information about the same population, it is necessary to treat both as a single combined data. In this paper we present the unpooled sample variance for the combined data when we just know a sample mean and variance for the each data set without the raw data. It is shown that the pooled variance $s^2_p$ is always greater than the exact variance $s^2_t$ when ${\bar{x}}_n\;=\;{\bar{y}}_m$. And the difference of means for two data, ${\bar{x}}_n-{\bar{y}}_m}$, is larger, the difference of $s^2_p$ and $s^2_t$ is larger.

A Note on Disturbance Variance Estimator in Panel Data with Equicorrelated Error Components

  • Seuck Heun Song
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.129-134
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    • 1995
  • The ordinary least square estimator of the disturbance variance in the pooled cross-sectional and time series regression model is shown to be asymptotically unbiased without any restrictions on the regressor matrix when the disturbances follow an equicorrelated error component models.

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Evaluation of Panel Performance by Analysis of Variance, Correlation Analysis and Principal Component Analysis (패널요원 수행능력 평가에 사용된 분산분석, 상관분석, 주성분분석 결과의 비교)

  • Kim, Sang-Sook;Hong, Sung-Hie;Min, Bong-Kee;Shin, Myung-Gon
    • Korean Journal of Food Science and Technology
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    • v.26 no.1
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    • pp.57-61
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    • 1994
  • Performance of panelists trained for cooked rice quality was evaluated using analysis of variance, correlation analysis, and principal component analysis. Each method offered different information. Results showed that panleists with high F ratios (p=0.05) did not always have high correlation coefficient (p=0.05) with mean values pooled from whole panel. The results of analysis of variance for the panelists whose performance were extremely good or extremely poor were consistent with those of correlation analysis. Outliers designated by principal component analysis were different from the panelists whose performance was defined as extremely good or extremely poor by analysis of variance and correlation analysis. The results of principal component analysis descriminated the panelists with different scoring range more than different scoring trends depending on the treatments. Our study suggested combination of analysis of variance and correlation analysis provided valid basis for screening panelists.

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Meta-analysis Study on Microenvironmental Characteristics of Radon Concentration in Korea

  • Lee, Cheol Min;Lee, Jung Sub;Lee, Hye-Won
    • Journal of Environmental Health Sciences
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    • v.46 no.3
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    • pp.245-255
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    • 2020
  • Objective: The present study analyzed domestic and overseas academic journals to understand the research status and characteristics of radon concentration distribution in Korea in accordance with environmental conditions. Methods: As part of the meta-analysis, pooled average concentration was calculated using an inverse variance-weighted average of the arithmetic means and standard deviations among the investigated values. Using the obtained pooled average concentration, a Monte-Carlo simulation was performed to increase the reliability of the occurrence possibility of the calculated concentration distribution. A total of 38 research articles were selected, including 27 articles published in domestic academic journals and 11 articles published in foreign academic journals. Results: The comparison results showed differences in radon concentration distribution in accordance with regional and topographical characteristics. Conclusion: Currently, even though research into radon is steadily picking up the pace in Korea much remains to be done. Additional research is thus needed to establish a baseline for radon emissions in Korea.

Accuracy and Precision of Microwave Oven Digestion/Atomic Absorption Spectrophotometry for Analyzing Airborne Chromium Collected on MCE Filter in Plating Operation (도금공정 크롬시료 분석을 위한 Microwave Oven Digestion/Atomic Absorption Spectrophotometry 방법의 정확도 및 정밀도 평가)

  • Lee, Byung-Kyu;Lee, Ji-Tae;Shin, Yong-Chul
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.11 no.1
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    • pp.48-55
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    • 2001
  • The purpose of this study was to evaluate the analytical accuracy and precision of microwave oven digestion/atomi absorption spectrophotometry (AAS) for analyzing airborne chromium collected on mixed cellulose ester membrane (M filter from the work environment, and to compare the accuracy and the precision with those of the National Institute for Occupational Safety and Health (NIOSH) Method #7024 hot plate digestion/AAS method. For this study, field air sample pairs were collected from a electroplating process, and spiked samples in a laboratory were prepared and using these samples. Two digestion methods were comp; and evaluated in terms of recovery rate and bias as indices of accuracy and coefficient of variation as a index of precision. The results and conclusions are as follows. In spiked samples, the accuracies (% mean recoveries) of hot plate/AAS and microwave oven/AAS method were 97.19%, 97.1%, respectively, and the precisions (pooled respectively, and the precisions (pooled coefficient of variance, $CV_{pooled}$) 6.93% and 3.88%, respectively. The biases of hot plate ani microwave oven methods were 4.56 - 14.7% and 2.22 - 7.42% respectively. There was no statistically significant difference between hot plate and microwave oven methods recovery rates of spiked samples (p>0,05). Also, no statistically significant difference was shown among the concentrations of air samples determined by two method (p>0.05). In conclusion, microwave oven/AAS method h excellent accuracy and precision, and advantages such as time-saving and simple procedure in comparison with the classical NIOSH method. Therefore, this method can be use widely to analyze airborne chromium collected on MCE filter from the work environments.

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Work-Family Conflict, Depression, and Burnout Among Jail Correctional Officers: A 1-Year Prospective Study

  • Jaegers, Lisa A.;Vaughn, Michael G.;Werth, Paul;Matthieu, Monica M.;Ahmad, Syed Omar;Barnidge, Ellen
    • Safety and Health at Work
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    • v.12 no.2
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    • pp.167-173
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    • 2021
  • Background: Correctional officers (COs) experience elevated rates of mental and physical ill-health as compared with other general industry and public safety occupations. The purpose of this study was to investigate demographic, mental health, job tenure, and work-family characteristics and their prospective association to burnout within and between jail officers during one year of new employment. Methods: In 2016, newly hired jail officers (N = 144) completed self-reported surveys across four time points in a one-year prospective study at a Midwestern United States urban jail. Linear mixed-effects and growth modeling examined how work-family conflict (W-FC) and depressive symptoms relate to perceptions of burnout over time. Results: Jail officer burnout increased and was related to rises in W-FC and depression symptoms. Within-person variance for W-FC (Bpooled = .52, p < .001) and depression symptoms (Bpooled = .06, p < .01) were significant predictors of burnout. Less time on the job remained a significant predictor of burnout across all analyses (Bpooled = .03, p < .001). Conclusions: Results from this study indicate that burnout increased during the first year of new employment; and increased W-FC, higher depression, and brief tenure were associated with burnout among jail COs. Future study of correctional workplace health is needed to identify tailored, multilevel interventions that address burnout and W-FC prevention and early intervention among COs.

Party Organizations in Multiethnic and Homogenous Societies: Comparing India and Japan

  • Banerjee, Vasabjit
    • Journal of Contemporary Eastern Asia
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    • v.13 no.2
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    • pp.57-68
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    • 2014
  • How do party organizations respond to newly evolving social groups? Research on Indian party organizations reveals that in multiethnic societies with uneven modernization between social groups, internally competitive parties respond better to newly evolving groups. Moreover, it is claimed: the same dynamic works vis-$\grave{a}$-vis homogenous societies with cleavages based on economic differences; and, the pattern holds regardless of differences in electoral institutions. This study examines these claims by testing whether factional competition correlated with recruitment into Japan's Liberal Democratic Party in 1972 and 1983. Japan had a single-nontransferable-vote system with multi-member districts, while the research on India assumes a first-past-the-post system with single-member districts. This study conducts a difference of means test on the population of new and old politicians in the LDP in 1972 and 1983 with a pooled variance adjustment to account for differences in populations' size. The findings show that intra-party competition and recruitment are not correlated in Japan, thus tentatively rejecting both claims.

Studies on the Computerization of Design of Experiments (III) (실험계획법의 전산화에 관한 연구 (III))

  • 정수일
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.16 no.28
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    • pp.103-107
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    • 1993
  • This paper studies computer programming for the analysis of data obtained by experiments using Orthogonal Arrays. The following items are considered in the computer programming : * significant digits in the computation of Sum of Squares, Mean Squares and Variance Ratios * containing the necessary F-distribution values in the program. * matching the rules of KS A 0021 and 3251 in the digit treatments etc. The running results of ANOVA Table and Pooled ANOVA Table of a fictitious example is added with the parts of a program. It should be mentioned that the main purpose of this paper is in the arousing of the discussion about significant digits concept in the computer programming for various kinds of Statistical Methods.

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Stability Analysis for Grain Yield of Lowland Rice for the Largest Rice-Growing Region of Eastern india

  • Bose, L.K.;Mohanty, A.;Kar, M.K.;Nagaraju, M.
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.49 no.2
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    • pp.136-140
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    • 2004
  • Twenty-one lowland rice genotypes were evaluated for their stability parameters with respect to grain yield in a multi locational trial at five different sites of Eastern India viz. CRRI, Cuttack (Orissa); OUAT, Bhubaneswar (Orissa); CRS, Masodha (UP); RAU, Pusa (Bihar) and RARS, North Lakhimpur (Assam). Pooled analysis of variance reflects existence of genotype x environment interactions and contribution of both linear and nonlinear components to genotype (G) x environment (E) interactions. Through stability parameter analysis it was found that Rayda $\textrm{B}_3$, CR 778-95 and CR 661-236 were suitable for over all environments where as Sabita, OR 1334-16 and OR 1358-RGA-4 were suitable for rich environments. PSR 1209-2-3-2, CR 780-1937, Ambika, OR 877-ST-4-2 and CR 662-2211 were identified for poor environments.

Two tests using more assumptions but lower power

  • Sang Kyu Lee;Hyoung-Moon Kim
    • Communications for Statistical Applications and Methods
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    • v.30 no.1
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    • pp.109-117
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    • 2023
  • Intuitively, a test with more assumptions has greater power than a test with fewer assumptions. This kind of examples are abundant in the nonparametric tests vs corresponding parametric ones. In general, the nonparametric tests are less efficient in terms of asymptotic relative efficiency (ARE) compared to corresponding parametric tests (Daniel, 1990). However, this is not always true. To test equal means under independent normal samples, the usual test involves using the t-distribution with the pooled estimator of the common variance. Adding the assumption of equal sample size, we may derive another test. In this case, two tests using more assumptions were performed for univariate (multivariate) cases. For these examples, it was found that the power function of a test with more assumptions is less than or equal to that of a test with fewer assumptions. This finding can be used as an expository example in master's mathematical statistics courses.