• Title/Summary/Keyword: standard deviation

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Variable Sampling Interval $\bar{X}$ Control Chart Using Weighted Standard Deviation Method (가중표준편차를 이용한 가변표본채취간격 $\bar{X}$ 관리도)

  • Chang, Youngsoon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.1
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    • pp.1-12
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    • 2014
  • This article proposes a variable sampling interval (VSI) $\bar{X}$ control chart using weighted standard deviation (WSD) method for skewed populations. The WSD method decomposes the standard deviation of a quality characteristic into upper and lower deviations and adjusts control limits and warning limits of a control chart in accordance with the direction and degree of skewness. A control chart constant is derived for estimating the standard deviation of skewed distributions with the mean of sample standard deviations. The proposed chart is compared with the conventional VSI $\bar{X}$ control chart under some skewed distributions. Simulation study shows that the proposed WSD VSI chart can control the in-control average time to signal (ATS) as an adequate level better than the conventional VSI chart, and the proposed chart can detect a decrease in the process mean of a quality characteristic following a positively skewed distribution more quickly than the standard VSI chart.

Gaussian noise estimation using adaptive filtering (적응적 필터링을 이용한 가우시안 잡음 예측)

  • Joh, Beom Seok;Kim, Young Ro
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.8 no.4
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    • pp.13-18
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    • 2012
  • In this paper, we propose a noise estimation method for noise reduction. It is based on block and pixel-based noise estimation. We assume that an input image is contaminated by the additive white Gaussian noise. Thus, we use an adaptive Gaussian filter and estimate the amount of noise. It computes the standard deviation of each block and estimation is performed on pixel-based operation. The proposed algorithm divides an input image into blocks. This method calculates the standard deviation of each block and finds the minimum standard deviation block. The block in flat region shows well noise and filtering effects. Blocks which have similar standard deviation are selected as test blocks. These pixels are filtered by adaptive Gaussian filtering. Then, the amount of noise is calculated by the standard deviation of the differences between noisy and filtered blocks. Experimental results show that our proposed estimation method has better results than those by existing estimation methods.

Character Segmentation in a Grayscale Image using the Standard Deviation (그레이스케일 영상에서 표준 편차를 이용한 문자 분할)

  • Jung, Min Chul
    • Journal of the Semiconductor & Display Technology
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    • v.11 no.2
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    • pp.27-31
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    • 2012
  • This paper proposes a new method of character segmentation in a grayscale image using the standard deviation. Firstly, the proposed method scans vertically the region of interest in an image in order to calculate a standard deviation for each scan line. Characters' standard deviations are much bigger than the background's. Therefore, it is possible to segment characters vertically using the differentiation of those two types of standard deviations. Secondly, the method scans each vertically segmented image horizontally at this time, and then segments each image similarly. The proposed method is implemented using C language in an embedded Linux system for a high-speed real-time image processing. Experiments were conducted by using credit card images. The results show that the proposed algorithm is quite successful for most credit cards. However, the method fails in some credit cards with strong background patterns.

Estimation of Unknown Parameters in Optimum Allocation

  • Park, Hyeonah;Park, Seunghwan;Na, Seongryong
    • Communications for Statistical Applications and Methods
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    • v.20 no.2
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    • pp.137-145
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    • 2013
  • The use of pooled standard deviation can reduce the efficiency loss in optimum allocation when strata standard deviations are estimated and several of them are equal. Also shown is that the pooled standard deviation is useful in optimum allocation under a multivariate setting. In addition to theoretical development, we provide the result of simulation study to support the theory.

A Distcussion on the Size Deviation Test of Raw Silk (生絲纖度檢査規定에 關한 考察)

  • Choi, Jin-Sub
    • Journal of Sericultural and Entomological Science
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    • v.25 no.1
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    • pp.44-50
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    • 1983
  • The study was carried out to suggest on opinion of the standardization of size deviation in the existing raw silk testing method. 1. The present grade A of size deviation stipulates 4.61 to 5.80 of standard deviation for 50 to 69 denier of mean value, however, the 5.80 standard deviation with the mean values of 50 and 69 denier belong to different distribution. 2. It is reasonable that the variation coefficients of grade 2A should be lower than that of grade A. However, the present testing method shows larger variation in grade 2A than in grade A. This is illustrated 9.00 for 69 denier in grade 2A and 8.41 for 70 denier in grade A. 3. The size deviation value compares the quality of raw silk with different mean value. Therefore, the standard deviation is recommended to be replaced by the C.V. value in determining the grade of silk. 4. The C.V. have a tendency to increase with lower grades below 6A for the size deviation below 33 denier with some inconsistencies. The figures should be adjusted so that the C.V. inconsistencies size deviation below 33 denier will be corrected. 5. The standard deviation increases with size under the same grade for the size deviations above 33 denier, however, the C.V. does not vary greatly with size deviation. 6. To rectify the above-mentioned inconsistencies the C.V. conversion and curvilinear regresion correction is recommended to improve the present silk testing method 7. The table of size deviation standard are as follows: Suggested standard of size deviation, unit: C.V. Value

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Result Analysis according to Population Distribution Trends when Reagents are Changed (시약 변경 시 모집단 분포 추이에 따른 결과 분석)

  • Hye-Mi Park;Soo-Yeon Lim;Sun-Hee Yoo;Sun-Ho Lee
    • The Korean Journal of Nuclear Medicine Technology
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    • v.27 no.1
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    • pp.55-61
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    • 2023
  • Purpose In this study, the monthly population distribution was calculated for statistical verification of 10 tests (CA19-9, CA15-3, testosterone, PTH, calcitonin, AFP, CEA, CA72-4, PSA, estradiol) with changed reagents, and the trend of change By comparing and analyzing the results, we want to verify the accuracy of the results and improve the reliability of the test. Materials and Methods From June 2021 to February 2023, for the 10 items in which the reagent was changed, the monthly percentage and standard deviation index before and after the reagent change were compared, respectively. At this time, the reference value was arbitrarily set for the comparison group in consideration of the reference value of the test item, and the groups were subdivided and compared, and the standard deviation index allowed range was -2.0 or more and 2.0 or less. Results For CA19-9, CA15-3, AFP, CEA, and calcitonin 5 test items, the change in monthly ratio in all test sections before and after the reagent change was kept constant. On the other hand, for CA72-4, PSA, testosterone, PTH, and estradiol items, the standard deviation index exceeded the acceptable standard after changing the reagent. CA72-4 test items showed an increasing trend in standard deviation index in the test section exceeding the reference value. In the case of the PSA test item, the maintenance ratio of 0.04 ng/mL was significantly decreased after changing the reagent. The testosterone test item had a standard deviation index of -2.5 in the test section exceeding 10.1 ng/mL after changing the reagent, and the standard deviation index of the PTH test item was out of the acceptable range in all test sections. It was confirmed that the estradiol test item showed an overall increase in the result value. Conclusion Through this study, the continuity and accuracy of the test results could be verified. It is considered that the stability of the test can be secured by analyzing the factors affecting the test result and solving the cause for the test item whose standard deviation index is out of the acceptable standard.

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A Study on the Classification and Prediction of the Chip Type under the Specified Cutting Conditions in Turning (선삭가공시 절삭조건에 의한 Chip형태의 분류와 예측에 관한 연구)

  • Sim, G.J.;Cheong, C.Y.;Seo, N.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.8
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    • pp.53-62
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    • 1995
  • In recent years, the rapid development of the machine tool and tough insert has made metal removal rates increase, and automatic system without human supervision requires a higher degree reliability of machining process. Therefore the control of chips is one of the important topics which deserves much attention. The chip classification was made based upon standard deviation of the mean cutting force measured by a tool dynamometer. STS304was chosen as the workpiece which is known as the difficult-to-cut material and mainly saw-toothed chip produced, and the chip type according to the standard deviation of mean cutting force was classified into five categories in this experiment. Long continuous type chip which interrupts the normal cutting process, and damages the operator, tool and workpiece has low standard deviation value, while short broken type chip, which is favourable chip for disposal, has relatively large standard deviation value. In addition, we investigated the possibility that the chip type can be predicted analyzing the relationship between chip type and cutting condition by the trained neural network, and obtained favourable results by which the chip type can be predicted with cutting conditon before cutting process.

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The Consideration of Consistent Use of Sample Standard Deviation in the Confidence Interval Estimation of Population Mean and Population Ratio (모평균과 모비율의 구간추정에서 표본표준편차의 일관된 사용에 대한 고찰)

  • Park, Sun Yong;Yoon, Hyoung Seok
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.375-385
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    • 2014
  • This study compares the confidence interval estimation of population mean with that of population ratio, and considers whether these two estimations ensures consistency. As a result, this study suggests the following acquisition method of consistency : dealing with population mean and population ratio in the same mode, substituting the observed or experimental value of sample standard deviation for standard deviation in population in setting a confidence interval of both population mean and population ratio, and distinguishing population ratio $\hat{P}$ from its observed vale $\hat{p}$.

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Comparison of Accuracy and Output Waveform of Devices According to Rectification Method (정류방식에 따른 장치의 정확도와 출력 파형의 비교)

  • Lee, In Ja
    • Journal of radiological science and technology
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    • v.41 no.6
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    • pp.603-610
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    • 2018
  • This study examined the following: accuracy of the exposure conditions in the inverter device and three-phase device; output waveform over the exposure conditions; and average and standard deviation of the output waveform. After assessing whether the dose corresponding to the theoretical dose was presented, the following conclusions were obtained: 1. The accuracy of the tube voltage(kVp) and tube current(mA) exposure time(sec) was within the tolerable level prescribed in Korea's Safety Management Standards. In the error, Inverter device was large the tube voltage and exposure time, the three-phase device was large the tube current. 2. In terms of the output waveform of the exposure conditions and the average and standard deviation of the output waveform, the higher tube voltage and larger tube current resulted in greater standard deviation in pulsation. Moreover, the standard deviation of pulsation was shown to be greater in the inverter device than the three-phase device; there was also greater standard deviation in the inverter device considering the exposure time. 3. Regarding the exposure conditions over the output dose, all linearity showed the coefficient of variation which had an allowable limit of error within 0.05. Although the output dose ratio for the inverter device was 1.00~1.10 times no difference that of the three-phase device, there was almost no difference in dose ratio between the tube currents.

A Study on the Application of a Dementia Prevention Program and Its Effect Test (치매예방 프로그램 운영 및 효과검증 연구)

  • Hwang, Ok-Nam;Yoon, Sook-Rye;Hwang, Hye-Yeon;Nam, Ki-Seok
    • The Korean Journal of Rehabilitation Nursing
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    • v.5 no.2
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    • pp.156-165
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    • 2002
  • The objective of this study was to apply a dementia prevention program to the subjects who were suspected of dementia and test its effect. This study was one group pretest-posttest design. The dementia prevention program was applied for 20 weeks to the 19 subjects who were suspected of dementia after a screen test among 638 subjects enrolled in 10 senior citizen's centers in G city. The scores of self-efficacy, cognition, quality of life were measured before and after the program. The data collected were analyzed using a SPSS (statistical analysis system) program, and frequencies, averages and standard deviations were obtained. The differences of the scores of the pretest and posttest were analyzed with Mann-Whitney test and sign test. The results were as follows: 1. After the program, the average score of self-efficacy was increased from 75.31 (standard deviation 11.99) to 84.26 (standard deviation 13.92). 2. There are no differences between the average scores of physical and psychological quality of life, however, the average score of social quality of life was slightly increased from 2.25 (standard deviation 0.40) to 2.53 (standard deviation 0.43), and the overall score of social quality of life was low. 3. The average score of cognition was significantly increased from 21.00 (standard deviation 2.60) to 24.58 (standard deviation 3.37), thus, it was found that the program was effective to improve the cognition level. 4. The score differences of self-efficacy, quality of life, cognition between the pretest and posttest were statistically significant. 5. The score differences of quality of life between the pretest and posttest were found to be dependent on marital status, exercise and regular checkup yes or no. In conclusion, the program was effective to prevent the subjects suspected of dementia from dementia.

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