• 제목/요약/키워드: Normal limits

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Comparison and Evaluation of Performance for Standard Control Limits and Bootstrap Percentile Control Limits in $\bar{x}$ Control Chart ($\bar{x}$ 관리도의 표준관리한계와 부트스트랩 백분률 관리한계의 수행도 비교평가)

  • 송서일;이만웅
    • Journal of Korean Society of Industrial and Systems Engineering
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    • 제22권52호
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    • pp.347-354
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    • 1999
  • Statistical Process Control(SPC) which uses control charts is widely used to inspect and improve manufacturing process as a effective method. A parametric method is the most common in statistical process control. Shewhart chart was made under the assumption that measurements are independent and normal distribution. In practice, this assumption is often excluded, for example, in case of (equation omitted) chart, when the subgroup sample is small or correlation, it happens that measured data have bias or rejection of the normality test. A bootstrap method can be used in such a situation, which is calculated by resampling procedure without pre-distribution assumption. In this study, applying bootstrap percentile method to (equation omitted) chart, it is compared and evaluated standard process control limit with bootstrap percentile control limit. Also, under the normal and non-normal distributions, where parameter is 0.5, using computer simulation, it is compared standard parametric with bootstrap method which is used to decide process control limits in process quality.

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A Modified Target Costing Technique to Improve Product Quality from Cost Consideration

  • Wu, Hsin-Hung
    • International Journal of Quality Innovation
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    • 제6권2호
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    • pp.31-45
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    • 2005
  • The target costing technique, mathematically discussed by Sauers, only uses the $C_p$ index along with Taguchi loss function and ${\bar{X}}-R$ control charts to set up goal control limits. The new specification limits derived from Taguchi loss function is linked through the $C_p$ value to ${\bar{X}}-R$ control charts to obtain goal control limits. This study further considers the reflected normal loss function as well as the $C_{pk}$ index along with its lower confidence interval in forming goal control limits. With the use of lower confidence interval to replace the point estimator of the $C_{pk}$ index and reflected normal loss function proposed by Spiring to measure the loss to society, this modified and improved target costing technique would become more robust and applicable in practice. Finally, an example is provided to illustrate how this modified and improved target costing technique works.

Normal Physiologic Data of Korean Mongrel Dogs (한국산 잡견의 정상 생리학적 기준치)

  • 김종환
    • Journal of Chest Surgery
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    • 제2권1호
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    • pp.115-132
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    • 1969
  • The normal physiological values of Korean mongrel dogs were studied, comparing them with foreign references, on the basis of control physiological data measured on 110 cases out of the dogs submitted to the experiments in our department. The hemodynamic measurements varied widely between the both limits of reported normal control data, with the mean value of heart rate $140.4{\pm}26.6$/min., and both the systolic and diastolic arterial blood pressures $137.2{\pm}31.7$mmHg and $104.7{\pm}14.4$ mmHg, as well as the venous pressure of $9.11{\pm}2.18$ cm.$H_2O$. Hematologically, the number of red blood cells $4,571,000{\pm}767,000$per cu.mm., the amount of hemoglobin $11.57{\pm}3.74$ gm/dl and the hematocrit $37.3{\pm}7.2$ per cent, were equally the values a little lower than the reported normal means. However, the white blood cells were within the reported normal limits both in number, $10,384{\pm}4,877$ per cu. mm and their differential counts with slightly broader ranges of variation. The platelet count was $149,800{\pm}47,000 $per cu. mm and was also far below the normal, while the coagulation time $9.03{\pm}2.69$min. and the prothrombin time $13.17{\pm}6.52$sec were within normal limits, though a little prolonged. The serum electrolytes, Na $146.6{\pm}10.44$mEq/L.,K $4.46{\pm}0.84$mEq/L., CI $118.3{\pm}7.88$mEq/L. and Ca $11.45{\pm}5.62$mg./dl, and the blood glucose level of $94.9{\pm}31.79$mg./dl were essentially not different from the reported normal values. The serum proteins, total protein $7.15{\pm}1.41$gm/dl., albumin $4.09{\pm}0.77$gm./dl. and globulin $3.18{\pm}0.88$gm/dl. were included near the higher limits of the reported normal levels. The thymol turbidity 0.1-3.04 units were normal in 10 cases, and the cephaline flocculation was within normal range except 2 cases out of 26 dogs, showing two positive in 24 hours. And the nitrogen series, NPN $34.61{\pm}10.29$mg/dl. and BUN $12.77{\pm}6.37$mg./dl. were normal. It may be concluded that from the point of view of hereby measured physiological data compared with the foreign references, the Korean mongrel dogs have a compatible laboratory data with only the special regards to their tendency toward anemia in red blood cell series.

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A Study of the Limits of Stability in Hemiplegic Patients (편마비환자의 안정성한계에 대한 연구)

  • Kwon, Oh-Yun
    • Journal of Korean Physical Therapy Science
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    • 제2권4호
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    • pp.739-747
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    • 1995
  • The purpose of this study was to evaluate and compare the Limits of stability(LOS) in hemiplegic patients who can walking independently. The LOS was measured at stable surface, unstable surface with eye open and eye closed. In this study, 18 out-patients were evaluated who were treated at Yonsei University Medical Center Rehabilitation Hospital. In order to determine the statistical significance of results, T-test, paired t-test, and Kruskal-Wallis 1-way ANOVA were applied at 0.05 level of significance. The results were as follows: 1. The mean of lateral limits of stability was 9.89 degree. 2. The mean of anteroposterior limits of stability was 6.43 degree. 3. There was a significant difference of limits of stability between sound side and affected side(p<0.05). 4. The limits of stability was significantly decreased with eye closed(p<0.05) 5. The limits of stability was significantly decreased at unstable surface(p<0.05). 6. The limits of stability was a significant difference as spasticity degree of ankle plantar flexors(p<0.05). These results showed that the limits of stability in hemiplegic patients was more decreased than that of normal adult. In order to improve the balance in hemiplegic patients, we need to increase the limits of stability.

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Prediction of Explosion Limits Using Normal Boiling Points and Flash Points of Alcohols Based on a Solution Theory (용액론에 근거한 표준끓는점과 인화점을 이용한 알코올류의 폭발한계 예측)

  • Ha Dong-Myeong
    • Fire Science and Engineering
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    • 제19권4호
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    • pp.26-31
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    • 2005
  • In order to evaluate the fire and explosion involved and to ensure the safe and optimized operation of chemical processes, it is necessary to know combustion properties. Explosion limit is one of the major combustion properties used to determine the fire and explosion hazards of the flammable substances. In this study, the explosion limits of alcohols were predicted by using the normal boiling points and the flash points based on a solution theory. The values calculated by the proposed equations agreed with literature data within a few percent. From the given results, using the proposed methodology; it is Possible to Predict the explosion limits of the other flammable substances.

Considerations in relationship of open heart surgery and thyroid hormone changes (개심술과 갑상선 호르몬 변화와의 상관관계에 대한 고찰)

  • 차경태
    • Journal of Chest Surgery
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    • 제26권10호
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    • pp.743-748
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    • 1993
  • Alterations in thyroid function test results are frequently seen in patients with nonthyroidal illness & correlate with the severity of the illness & prognosis. We studied thyroid hormone changes in 14 patients received cardiopulmonary bypass[CPB]. All patients were biochemical euthyroidism preoperatively. TSH[Thyroid Stimulating Hormone] level reached its nadir[0.46 $\pm$ 0.11 ulU/ml, P<0.0005] at 12 hours after the start of CPB & showed elevating pattern to the preoperative level thereafter. FT4[Free Thyroxine] reached to its nadir[10.16$\pm$ 1.17 pmol/L, P<0.01] at POD[Post Operative Day] #4 & reached to the preoperative level at POD #7. Mean serum TSH & FT4 concentration were within normal limits[P>0.25] during CPB & thereafter. TT3[Total Triiodothyronine] reached to its nadir[38.6 $\pm$ 8.4 ng/dl, P<0.001] at 30 minutes after the start of CPB & remained low[P<0.05] throughout the study period. The patients whose recovery was uneventful[Group I] had higher serum TSH, TT3 levels[P<0.05] than who had complications or died[Group II]. Group I showed the elevating pattern of TSH, TT3 at POD #4, but Group II failed to show such elevating pattern. In Group I, FT4 was within normal limits[P>0.5] throughout the study period, and also within normal limits[P>0.1] in Group II.

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Better Confidence Limits for Process Capability Index $C_{pmk}$ under the assumption of Normal Process (정규분포 공정 가정하에서의 공정능력지수 $C_{pmk}$ 에 관한 효율적인 신뢰한계)

  • Cho Joong-Jae;Park Byoung-Sun;Park Hyo-il
    • Journal of Korean Society for Quality Management
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    • 제32권4호
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    • pp.229-241
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    • 2004
  • Process capability index is used to determine whether a production process is capable of producing items within a specified tolerance. The index $C_{pmk}$ is the third generation process capability index. This index is more powerful than two useful indices $C_p$ and $C_{pk}$. Whether a process distribution is clearly normal or nonnormal, there may be some questions as to which any process index is valid or should even be calculated. As far as we know, yet there is no result for statistical inference with process capability index $C_{pmk}$. However, asymptotic method and bootstrap could be studied for good statistical inference. In this paper, we propose various bootstrap confidence limits for our process capability Index $C_{pmk}$. First, we derive bootstrap asymptotic distribution of plug-in estimator $C_{pmk}$ of our capability index $C_{pmk}$. And then we construct various bootstrap confidence limits of our capability index $C_{pmk}$ for more useful process capability analysis.

TOPOLOGICAL ENTROPY OF A SEQUENCE OF MONOTONE MAPS ON CIRCLES

  • Zhu Yuhun;Zhang Jinlian;He Lianfa
    • Journal of the Korean Mathematical Society
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    • 제43권2호
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    • pp.373-382
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    • 2006
  • In this paper, we prove that the topological entropy of a sequence of equi-continuous monotone maps $f_{1,\infty}={f_i}\;\infty\limits_{i=1}$on circles is $h(f_{1,\infty})={\frac{lim\;sup}{n{\rightarrow}\infty}}\;\frac 1 n \;log\;{\prod}\limits_{i=1}^n|deg\;f_i|$. As applications, we give the estimation of the entropies for some skew products on annular and torus. We also show that a diffeomorphism f on a smooth 2-dimensional closed manifold and its extension on the unit tangent bundle have the same entropy.

An Attempt to Model Distributions of Machined Component Dimensions in Production

  • Cogun, Can;Kilinc, Biinyamin
    • Journal of Mechanical Science and Technology
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    • 제16권1호
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    • pp.60-74
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    • 2002
  • In this study, normal, log-normal, triangular, uniform. Weibull, Erlang and unit beta probability density functions are tried to represent the behaviour of frequency distributions of workpiece dimensions collected from various manufacturing firms. Among the distribution functions, the unit beta distribution function is found to be the best fit using the chi-square test of fit. An attempt is made for the adoption of the unit beta model to x-bar charts of quality control in manufacturing. In this direction, upper and lower control limits (UCL and LCL) of x-bar control charts of dimension measurements are estimated for the beta model, and the observed differences between the beta and normal model control limits are discussed for the measurement sets.

Extinction Limits of Low Strain Rate Counterflow Nonpremixed Flames in Normal Gravity (정상 중력장에서 낮은 스트레인율을 갖는 대향류 비예혼합화염의 소화한계)

  • Oh, Chang-Bo;Choi, Byung-Il;Kim, Jeong-Soo;Hamins, Anthony;Park, Jeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제29권9호
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    • pp.997-1005
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    • 2005
  • The extinction characteristics of low strain rate normal gravity (1-g) nonpremixed methane-air flames were studied numerically and experimentally. A time-dependent axisymmetric two-dimensional (2D) model considering buoyancy effects and radiative heat transfer was developed to capture the structure and extinction limits of 1-g flames. One-dimensional (1D) computations were also conducted to provide information on 0-g flames. A 3-step global reaction mechanism was used in both the 1D and 2D computations to predict the measured extinction limit and flame temperature. A specific maximum heat release rate was introduced to quantify the local flame strength and to elucidate the extinction mechanism. Overall fractional contribution by each term in the energy equation to the heat release was evaluated to investigate the multi-dimensional structure and radiative extinction of 1-g flames. Images of flames were taken for comparison with the model calculation undergoing extinction. The two-dimensional numerical model was validated by comparing flame temperature profiles and extinction limits with experiments and ID computation results. The 2D computations yielded insight into the extinction mode and flame structure of 1-g flames. Two combustion regimes depending on the extinction mode were identified. Lateral heat loss effects and multi-dimensional flame structure were also found. At low strain rates of 1-g flame ('Regime A'), the flame is extinguished from the weak outer flame edge, which is attributed to multi-dimensional flame structure and flow field. At high strain rates, ('Regime B'), the flame extinction initiates near the flame centerline due to an increased diluent concentration in reaction zone, which is the same as the extinction mode of 1D flame. These two extinction modes could be clearly explained with the specific maximum heat release rate.