• Title/Summary/Keyword: Variance and Standard Deviation

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On Asymptotic Analysis of the MUSIC Null-Spectrum (MUSIC Null-Spectrum의 점근적 해석)

  • 윤진선;김상엽;김선용;박성일;손재철;송익호;최진호
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1991.10a
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    • pp.115-118
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    • 1991
  • In this paper we derived the asymptotic distribution of the MUSIC null-spectrum, from which an exact expression of the asymptotic variance of the MUSIC null-spectrum can be obtained. From this result in addition an explicit expression of the normalized standard deviation (NSD) has been derived and it is shown that the NSD is affected by the number of sensors and the number of signals.

Comparisons of Probability and Statistics Education in Mathematics Textbooks in Korea High School

  • Lee, Sang-Bock
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.523-529
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    • 2004
  • In Korea, mathematics education has been changed according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare 3 kinds of mathematics textbooks for 10-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in textbooks and distributions of sample means with normal population assumption.

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A Comparative Study of Consumers and Providers on Nursing Service Quality, Satisfaction, and Hospital Revisiting Intent (간호서비스 질, 만족 및 병원 재이용 의도에 관한 소비자와 제공자간의 지각차이 비교)

  • Lee, Mi-Aie;Yom, Young-Hee
    • Journal of Korean Academy of Nursing Administration
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    • v.11 no.4
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    • pp.425-437
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    • 2005
  • Purpose: The purposes of this study were to compare the nursing service quality, gap, overall nursing service satisfaction, overall medical service satisfaction and intent to revisit the hospital perceived by consumers and providers. Methods: Data were collected with self-administered questionnaire and analyzed using frequency, %, mean, standard deviation, t-test, Pearson correlation coefficient, and multiple regression analysis. Result: Nursing service gap perceived by consumers was smaller than that of providers. Consumer's overall satisfaction with nursing and medical service was higher than that of nurses. In consumers, nursing service satisfaction alone accounted for 62.9% of the variance in their intent to revisit the hospital, while explained 3% of the variance in providers. Conclusion: There are definitely perception gap between consumers and providers. Therefore nursing and hospital managers must recognize it, and carry out the internal marketing strategies for nurses.

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Stochastic elastic wave analysis of angled beams

  • Bai, Changqing;Ma, Hualin;Shim, Victor P.W.
    • Structural Engineering and Mechanics
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    • v.56 no.5
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    • pp.767-785
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    • 2015
  • The stochastic finite element method is employed to obtain a stochastic dynamic model of angled beams subjected to impact loads when uncertain material properties are described by random fields. Using the perturbation technique in conjunction with a precise time integration method, a random analysis approach is developed for efficient analysis of random elastic waves. Formulas for the mean, variance and covariance of displacement, strain and stress are introduced. Statistics of displacement and stress waves is analyzed and effects of bend angle and material stochasticity on wave propagation are studied. It is found that the elastic wave correlation in the angled section is the most significant. The mean, variance and covariance of the stress wave amplitude decrease with an increase in bend angle. The standard deviation of the beam material density plays an important role in longitudinal displacement wave covariance.

Evaluation and Selection of MEMS-Based Inertial Sensor to Implement Inertial Measurement Unit for a Small-Sized Vessel (소형 선박용 관성측정장치 개발을 위한 MEMS 기반 관성 센서의 평가와 선정)

  • Yim, Jeong-Bin
    • Journal of Navigation and Port Research
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    • v.35 no.10
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    • pp.785-791
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    • 2011
  • This paper describes the evaluation and selection of MEMS(Micro-Elect Mechanical System) based inertial sensor to fit to implement the Inertial Measurement Unit(IMU) for a small-sized vessel at sea. At first, the error model and the noise model of the inertial sensors are defined with Euler's equations and then, the inertial sensor evaluation is carried out with Allan Variance techniques and Monte Carlo simulation. As evaluation results for the five sensors, ADIS16405, SAR10Z, SAR100Grade100, LIS344ALH and ADXL103, the combination of gyroscope and accelerometer of ADIS16405 is shown minimum error having around 160 m/s standard deviation of velocity error and around 35 km standard deviation of position error after 600 seconds. Thus, we select the ADIS16405 inertial sensor as a MEMS-based inertial sensor to implement IMU and, the error reducing method is also considered with the search for reference papers.

Multiresponse Optimization Through A New Desirability Function Considering Process Parameter Fluctuation (공정변수의 변동을 고려한 호감도 함수를 통한 다중반응표면 최적화)

  • Kwon Jun-Bum;Lee Jong-Seok;Lee Sang-Ho;Jun Chi-Hyuck;Kim Kwang-Jae
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.1
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    • pp.95-104
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    • 2005
  • A desirability function approach to a multiresponse problem is proposed considering process parameter fluctuation which may amplify the variance of response. It is called POE (propagation of error), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. In order to obtain more robust process parameter setting, a new desirability function is proposed by considering POE as well as distance-to-target of response and response variance. The proposed method is illustrated using a rubber product case in Ribeiro et al. (2000).

Multiresponse Optimization Through A New Desirability Function Considering Process Parameter Fluctuation (공정변수의 변동을 고려한 만족도 함수를 통한 다중반응표면 최적화)

  • Gwon Jun-Beom;Lee Jong-Seok;Lee Sang-Ho;Jeon Chi-Hyeok;Kim Gwang-Jae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.39-44
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    • 2004
  • A desirability function approach to a multiresponse problem is proposed considering process parameter fluctuation as well as distance-to-target of response and response variance. The variation of process parameters amplifies the variance of responses. It is called POE (propagation of error), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. In order to obtain more robust process parameters, this variability should be considered in the optimization problem. The proposed method is illustrated using a rubber product case.

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Performance estimation of the noise reduction by window function on a single tone (단일 신호에 대한 창 함수의 잡음 제거 성능 평가)

  • Baek, Moon-Yeol;Kim, Byoung-Sam
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.5
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    • pp.38-43
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    • 1996
  • Windowing routines have as their purpose the reduction of the sidelobes of a spectral output of the FFT or DFT routines. Windowing routines accomplish this by forcing the beginning and end of any sequence to approach each other in value. Since they must work with any sequence they force the beginning and ending samples near zero. To make up for this reduction in power, windowing routines give extra weight to the values near the middle of the sequence. The difference between windows is the way in which they transition from the low weights near the edges to the higher weights neqr the middle of the sequence. Signal-to-noise ratio(SNR) can be determined by the ratio of the output noisy signal variance to the input noisy signal variance of a window. Standard deviation of noise is reduced by windowing. Thus, the windowing operation improved the SNR of the noisy signal. This paper shows a performance estimation of windowing on a single tone with added Gaussian noise and uniform noise.

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Statistical Analysis on the Sources of Variance in Proficiency Test of Quantitative Analysis of Medicines (의약품 함량분석 정도관리에서의 변이 요인에 대한 통계분석)

  • Cho, Jung-Hwan
    • Journal of Pharmaceutical Investigation
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    • v.37 no.1
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    • pp.27-37
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    • 2007
  • Proficiency test is an essential tool far ensuring analytical ability of analytical chemists and analytical institutes. Usually, the standard protocol for proficiency test is focused on acceptability of reported analytical results of participants by calculating z-scores and related diagnostic parameters. The ultimate goal of this process is to reveal the sources of variability of analytical results and to find the way to reduce their influence. In this study, the method of analysis of variance (ANOVA) was applied to the analytical data collected from qualify control departments of pharmaceutical companies in KyungIn province in Korea in the year of 2000. As influencing factors of variability of analytical results, the use of internal standards for liquid and gas chromatograpy, the educational and professional background of participants, geological locations and yearly production sizes of participating companies were evaluated. To evaluate the variability in accuracy of analytical results, absolute differences from sample mean and sample median were used and to evaluate variability in precision of individual participants, the reported standard deviation of each participant was used. As a result, the use of internal standards in gas chromatographic analysis, participants' academic background and the yearly production sizes of pharmaceutical companies showed statistically significant influence to the accuracy and the precision of the reported analytical results used in this study.

Averaging TRIAD Algorithm for Attitude Determination (평균 TRIAD를 이용한 자세 결정)

  • Kim, Dong-Hoon;Lee, Henzeh;Oh, Hwa-Suk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.1
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    • pp.36-41
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    • 2009
  • In general, accurate attitude information is essential to perform the mission. Two algorithms are well-known to determine the attitude through two or more vector observations. One is deterministic method such as TRIAD algorithm, the other is optimal method such as QUEST algorithm. This Paper suggests the idea to improve performance of the TRIAD algorithm and to determine the attitude by combination of different sensors. First, we change the attitude matrix to Euler angle instead of using orthogonalization method and also use covariance in place of variance, then apply an unbiased minimum variance formula for more accurate solutions. We also suggest the methodology to determine the attitude when more than two measurements are given. The performance of the Averaging TRIAD algorithm upon the combination of different sensors is analyzed by numerical simulation in terms of standard deviation and probability.