• Title/Summary/Keyword: 절사평균

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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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Simulation comparison of standardization methods for interview scores (면접점수 표준화 방법 모의실험 비교)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.2
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    • pp.189-196
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    • 2011
  • In this study, we perform a simulation study to compare frequently used standardization methods for interview scores based on trimmed mean, rank mean, and z-score mean. In this simulation study we assume that interviewer's score is influenced by a weighted average of true interviewee's true score and independent noise whose weight is determined by the professionality of the interviewer. In other words, as interviewer's professionality increases, the observed score becomes closer to the true score and if interviewer's professionality decreases, the observed score becomes closer to the noise instead of the true score. By adding interviewer's tendency bias to the weighed average, final interviewee's score is assumed to be observed. In this simulation, the interviewers's cores for each method are computed and then the method is considered best whose rank correlation between the method's scores and the true scores is highest. Simulation results show that when the true score is from normal distributions, z-score mean is best in general and when the true score is from Laplace distributions, z-score mean is better than rank mean in full interview system, where all interviewers meet all interviewees, and rank mean is better than z-score mean in half split interview system, where the interviewers meet only half of the interviewees. Trimmed mean is worst in general.

A Trimmed Spatial Median Estimator Using Bootstrap Method (붓스트랩을 활용한 최적 절사공간중위수 추정량)

  • Lee, Dong-Hee;Jung, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.23 no.2
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    • pp.375-382
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    • 2010
  • In this study, we propose a robust estimator of the multivariate location parameter by means of the spatial median based on data trimming which extending trimmed mean in the univariate setup. The trimming quantity of this estimator is determined by the bootstrap method, and its covariance matrix is estimated by using the double bootstrap method. This extends the work of Jhun et al. (1993) to the multivariate case. Monte Carlo study shows that the proposed trimmed spatial median estimator yields better efficiency than a spatial median, while its covariance matrix based on double bootstrap overcomes the under-estimating problem occurred on single bootstrap method.

A Low-Error Truncated Booth Multiplier (작은 오차를 갖는 절사형 Booth 승산기)

  • 정해현;박종화;신경욱
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2001.10a
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    • pp.617-620
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    • 2001
  • This paper describes an efficient error-compensation technique for designing a low-error truncated Booth multiplier that receives two N-bit numbers and produces an N-bit product by eliminating the N least-significant bits. Applying the proposed method, a truncated Booth multiplier for area-efficient and low-power applications has been designed, and its performance (truncation error, area) was analyzed. Since the truncated Booth multiplier omits about half the partial product generators and adders, it has an area reduction by about 35%~40%, compared with non-truncated parallel multipliers. Error analysis shows that the proposed approach reduces the average truncation error by approximately 30%~40%, compared with conventional methods.

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A Design of Low-Error Truncated Booth Multiplier for Low-Power DSP Applications (저전력 디지털 신호처리 응용을 위한 작은 오차를 갖는 절사형 Booth 승산기 설계)

  • 정해현;박종화;신경욱
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.2
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    • pp.323-329
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    • 2002
  • This paper describes an efficient error-compensation technique for designing a low-error truncated Booth multiplier which produces an N-bit output from a two's complement multiplication of two N bit inputs by eliminating the N least-significant bits. Applying the proposed method, a truncated Booth multiplier for area-efficient and low-power applications has been designed, and its performance(truncation error, area) was analyzed. Since the truncated Booth multiplier does not have about half the partial product generators and adders, it results an area reduction of about 35%, compared with no-truncated parallel multipliers. Error analysis shows that the proposed approach reduces the average truncation error by approximately 60%, compared with conventional methods. A 16-b$\times$16-b truncated Booth multiplier core is designed on full-custom style using 0.35-${\mu}{\textrm}{m}$ CMOS technology. It has 3,000 transistors on an area of 330-${\mu}{\textrm}{m}$$\times$262-${\mu}{\textrm}{m}$ and 20-㎽ power dissipation at 3.3-V supply with 200-MHz operating frequency.

Bootstrapping trimmed estimator in statistical inference (붓스트랩방법을 활용한 절사추정량의 이론 및 응용연구)

  • 이재창;전명식;강창완
    • The Korean Journal of Applied Statistics
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    • v.9 no.2
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    • pp.1-11
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    • 1996
  • As an estimate of a location parameter for a given data set, $\alpha$-trimmed mean has been studied for a long time by many statisticians because of its nice propoerties including robustness. However, its performance depends on the proportion of trimming say $\alpha$. In this paper, we suggest a data-driven choice of $\alpha$ and study its validity. Also, we suggest a new estimator and consider double-bootstrap to improve its performance. By using simulation study, the proposed method is compared with the exiting one in various cases. Real data sets are also analyzed by using the proposed method.

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A statistical model for interview score based on projection (사영에 근거한 면접 점수의 통계적 모형)

  • Park, Cheol-Yong;Kim, Hyun-Wook
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.3
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    • pp.495-504
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    • 2012
  • In this study, we propose a statistical model based on projection that generates interview scores. In this model, each interviewee's true score and its related variable are viewed as X, Y values respectively in the two dimensional plane, and each interviewer's score is the projected score of true score X to the axis rotated by some angle, which reflects the interviewer's perspective. Each interviewer's observed interview score is obtained by adding personal bias and observed error to this projected score. We compared commonly used standardizing methods of interview scores such as trimmed mean method, rank method, and z-score method based on the proposed statistical model. In this simulation, two types of interview methods, two numbers of interviewers, two degrees of interviewers' expertise and two distributions and three correlations between actual score and its related variable are all considered.

A Comparison of Representative Beat Extraction Algorithms in ECG (심전도 신호에서의 대표 비트 설정에 관한 알고리즘 비교)

  • 김동석;전대근;윤형로
    • Journal of Biomedical Engineering Research
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    • v.20 no.3
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    • pp.299-305
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    • 1999
  • In thls paper, the representative beal textraction algorIthms for the diagnostic parameter extraction in noisy signal were compared. We used the avernge, median, mode, and trmmed mean to calculale the central tendency. In our experimenl, we have restricted to four kinds of noises -EMG noise, 60Hz powerline inlerference, ahrupl baseline shift, and baselme drift due to respimtion-which were commonly occurred in ECG mgnal, then we have calculated signal-to-noise ratios(SNRs) for the ECG corrupted with each noise and all noises together. As the result of this paper, we have proved that the average method has super lor performance than the others in the ECG corrupted wilh EMG noise. When the signal mcludes extreme value such as abrupt baseline shIft, the median, mode, trimmed mean methods have supenor performance in the SNR ratios. Especially when the ECG corrupted with baseline drift due to respirallon, the trimmed mean method was most efficient because ST level change was 0 V.

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Design of a Truncated Floating-Point Multiplier for Graphic Accelerator of Mobile Devices (모바일 그래픽 가속기용 부동소수점 절사 승산기 설계)

  • Cho, Young-Sung;Lee, Yong-Hwan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.3
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    • pp.563-569
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    • 2007
  • As the mobile communication and the semiconductor technology is improved continuously, mobile contents such as the multimedia service and the 2D/3D graphics which require high level graphics are serviced recently. Mobile chips should consume small die area and low power. In this paper, we design a truncated floating-point multiplier that is useful for the 2D/3D vector graphics in mobile devices. The truncated multiplier is based on the radix-4 Booth's encoding algorithm and a truncation algorithm is used to achieve small area and low power. The average percent error of the multiplier is as small as 0.00003% and neglectable for mobile applications. The synthesis result using 0.35um CMOS cell library shows that the number of gates for the truncated multiplier is only 33.8 percent of the conventional radix-4 Booth's multiplier.

A Comparative Study on Spatial Lattice Data Analysis - A Case Where Outlier Exists - (공간 격자데이터 분석에 대한 우위성 비교 연구 - 이상치가 존재하는 경우 -)

  • Kim, Su-Jung;Choi, Seung-Bae;Kang, Chang-Wan;Cho, Jang-Sik
    • Communications for Statistical Applications and Methods
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    • v.17 no.2
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    • pp.193-204
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    • 2010
  • Recently, researchers of the various fields where the spatial analysis is needed have more interested in spatial statistics. In case of data with spatial correlation, methodologies accounting for the correlation are required and there have been developments in methods for spatial data analysis. Lattice data among spatial data is analyzed with following three procedures: (1) definition of the spatial neighborhood, (2) definition of spatial weight, and (3) the analysis using spatial models. The present paper shows a spatial statistical analysis method superior to a general statistical method in aspect estimation by using the trimmed mean squared error statistic, when we analysis the spatial lattice data that outliers are included. To show validation and usefulness of contents in this paper, we perform a small simulation study and show an empirical example with a criminal data in BusanJin-Gu, Korea.