• 제목/요약/키워드: ANOVA- test(Analysis of variance)

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

  • 조정환
    • Journal of Pharmaceutical Investigation
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    • 제37권1호
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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.

다중비교를 이용한 선삭가공시 절삭유량에 따른 온도변화분석 (Temperature Analysis of Each Coolant Level by a Multiple Comparison in Turning Process)

  • 박태준;양승한;이영문;김희술
    • 한국정밀공학회지
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    • 제18권12호
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    • pp.110-115
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    • 2001
  • In this paper, a multiple comparison was proposed to minimize the amount of coolant. And new coolant level, called "low level", was suggested to show usefulness of multiple comparison for experiments. The amount of this levee is about 1/4 of conventional coolant amount-called "high level", and dry cutting is called "none level". Using these coolant levels, the cutting temperatures of each coolant level in turning process were analyzed by analysis of variance(ANOYA)-test and a multiple comparison. As the result of ANOVA-test, we have just known that the average of temperature of each coolant level is not equal. However by Tukey's HSD, one of multiple comparison. it was analyzed that the average of temperature of low level is similar to that of high levee and different from that of none level.erent from that of none level.

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다구찌 기법과 요인실험의 실험 데이터의 산포 크기에 따라 결과 변화 고찰 (Study on the Result Changes with the Size of the Variance in Taguchi Method and Factor Experimental)

  • 이상복
    • 품질경영학회지
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    • 제41권1호
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    • pp.119-134
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    • 2013
  • Purpose: The purpose of this paper is to show whether the results are changed with respect to the variance of the data, by analysis of data obtained from the Taguchi experimental techniques and general experiment. Because which cannot be prove by mathematical Formula, through experimental examples will show. Methods: Taguchi experiments were carried out with paper Helicopter experiment. Experimental Data are obtained by special designed Drop Test Equipment. While Experimental value arbitrarily changed, we looked at how Significant control Factor of Taguchi Methods and Factor experiments are changed. This process cannot be expressed as a Mathematical formula, but showed as a numerical example. Results: Saw significant changes in the factors when data is outside a certain range of the experimental data. By Test of Equivalence Variance, Experiment data is verified reliability. To find the Control Factor, Taguchi Method is better than the general experiment. Conclusion: We know that a Significant Factor is changed with the range of Variance of Experiment Data. The value of this paper is verified change process with Numerical Data obtained Experiment.

2003년부터 2005년까지 안이비인후피부과 학회지에 게재된 논문들의 통계적 분석 방법에 대한 고찰 (The consideration for methods of statistical analysis about the thesis published in the journal of korean oriental medical Ophthalmology & Otolaryngology & Dermatology from 2003 to 2005)

  • 김규석;남혜정;박외숙;김희정;차재훈;김윤범
    • 한방안이비인후피부과학회지
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    • 제19권3호통권31호
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    • pp.134-145
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    • 2006
  • Objective : This study was carried out to investigate what type of assumption and conditions are needed for the application of various statistical techniques such as descriptive statistics, t-test, analysis of variance, correlation analysis, regression analysis and chi-square test and to evaluate that they are used correctly in the research process. Methods : One more methods of statistical analysis were used in 91 papers among 162 papers selected from the journal of Korean oriental medical Ophthalmology & Otolaryngology & Dermatology from April 2003 to December 2005. So we analysed the type of statistical analysis method in 91 papers(clinical and experimental study) and assessed the their validity of statistical techniques by the check list consisting of 34 items(3 items for validity assessment of descriptive statistics, 6 items for t-test, 7 items for analysis of variance, correlation analysis and regression analysis, respectively, 4 items for chi-square test) Results : 1. The type of 65(40%) cases is experimental trial, the type of 55(34%) cases is case report, the type of 26(16%) cases is clinical trial and the type of 16(10%) cases is review, in 91 papers using statistical techniques among 162 papers selected from the journal of Korean oriental medical Ophthalmology & Otolaryngology & Dermatol-ogy from April 2003 to December 2005. 2. One more methods of statistical analysis were used in the experimental and clinical study. When we classified 125 units using statistical analysis methods in 91 papers according to statistical techniques such as descriptive statistics, t-test, analysis of variance, correlation analysis, regression analysis and chi-square test, the number of independent sample t-test is 33(26%), the number of only descriptive statistics is 28(22%), the number of independent sample t-test is 33(26%), the number of only descriptive statistics is 28(22%), the number of one way ANOVA is 15(12%), the number of non-parametric test 10(8%). 3. After carrying out one way ANOVA, the number of using multiple comparison methods is 15(Scheffe:6(26%), Duncan:4(17%), Dunnett:3(13%), Tukey:2(9%)) out of 23 (total case carrying out one way ANOVA). 8(35%) out of 23 did not enforce multiple comparison methods after carrying out one way ANOVA. 4. From the assessment of validity about 63 cases using statistical techniques(except descriptive statistics), 5(8%) cases are proper, the other 58(92%) are improper, so we recognized a serious misuse of statistical application in our journal. 5. The number of case below 10 sample size in experimental and clinical study(except descriptive statistics) is 31(34%) and frequent. Also the number of case containing no mention of sample size is 41(45%, including culture study). 6. For example of statistical error, there are wrong choice of statistical technique, lack of check on standard assumption(such as standard distribution, equivariance, independence), and so on. Conclusions : We investigated the validity of statistical analysis methods in our journal by check list consisting of 34 items and suggested correct statistical analysis methods. We should practice the spread of education about statistical analysis methods and precis application, enhance objectivity and reliability of our thesis and further correspond with purpose of scientific study.

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Application of the full factorial design to modelling of Al2O3/SiC particle reinforced al-matrix composites

  • Altinkok, Necat
    • Steel and Composite Structures
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    • 제21권6호
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    • pp.1327-1345
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    • 2016
  • $Al_2O_3$/SiC particulate reinforced (Metal Matrix Composites) MMCs which were produced by using stir casting process, bending strength and hardening behaviour were obtained using an analysis of variance (ANOVA) technique that uses full factorial design. Factor variables and their ranges were: particle size $2-60{\mu}m$; the stirring speed 450 rpm, 500 rpm and the stirring temperature $620^{\circ}C$, $650^{\circ}C$. An empirical equation was derived from test results to describe the relationship between the test parameters. This model for the tensile strength of the hybrid composite materials with $R^2$ adj = 80% for the bending strength $R^2$ adj = 89% were generated from the data. The regression coefficients of this model quantify the tensile strength and bending strengths of the effects of each of the factors. The interactions of all three factors do not present significant percentage contributions on the tensile strength and bending strengths of hybrid composite materials. Analysis of the residuals versus was predicted the tensile strength and bending strengths show a normalized distribution and thereby confirms the suitability of this model. Particle size was found to have the strongest influence on the tensile strength and bending strength.

추리통계학을 이용한 고속철도 승차감 평가에 대한 고찰 (Discussion for Ride Evaluation of High Speed Train by Using Inferential Statistics)

  • 황희수;김석원;박찬경;목진용;김기환;김영국
    • 한국철도학회논문집
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    • 제11권6호
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    • pp.543-549
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    • 2008
  • 철도 교통은 다른 교통수단에 비해 승객과 화물을 많이 수송할 수 있을 뿐만 아니라 안전성, 정시성(定時性) 및 환경 친화성 등의 장점을 갖고 있다. 철도를 다른 교통수단과의 경쟁력을 강화시키기 위해서는 열차의 속도 및 여객수송의 품질 향상 등이 필요하다. 특히, 승객이 여객수송의 품질에 대해 최종적으로 평가한다는 점을 감안할 때 승차감을 일정한 수준이상으로 향상시키는 것이 필수적이다. 일반적으로 철도차량에 대한 승차감은 차량의 진동 가속도를 측정한 후 인간의 등가 감응량으로 정량화시켜 평가하는 방법을 사용한다. 본 논문에서는 UIC 513R 규격에 따라 측정된 한국형 고속열차의 승차감 지수를 t-검정, 분산분석(ANOVA), 회귀분석 등과 같은 추리통계적인 방법론을 적용하여 분석 및 평가하고자 한다.

다변량 분산분석을 이용한 체인 레스토랑의 재무변수 차이 평가 연구 (Research on the Evaluation of the Differences in Financial Variablesof Chain Restaurants Using Multivariate Analysis of Variance)

  • 강석우
    • 한국조리학회지
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    • 제14권1호
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    • pp.21-38
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    • 2008
  • This research aimed to analyze the differences in financial variables classifying chain restaurants. A total of 126 samples were drawn from financial statements for $2001{\sim}2006$. As a result of analysis, there was a significant difference in Pillai's Trace, Wilks' Lambda, Hotelling's Trace, and Roy's Largest Root values at the significant probability value(p<0.05) based on F value in terms of stability among chain restaurants. Difference was found only in current rate and liabilities in ANOVA. There was a great difference in current rate among institutional restaurants, fast food restaurants, and cafeterias. There was a significant difference in Pillai's Trace, Wilks' Lambda, Hotelling's Trace, and Roy's Largest Root values at the significant probability value(p<0.05) based on F value in terms of restaurants' profitability. In ANOVA, difference was found only in net profits to net sales. It was revealed that all factors showed no significant differences in multiple comparison. All multi-variant test statistics showed a significant difference in growth and turnover. ANOVA showed a significant difference in net sales growth rate, net profit growth rate, and total assets growth rate.

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대한침구학회지 논문의 통계적 오류에 관한 연구 (An Assessment of Statistical Validity of Articles Published in the Journal of Korean Acupuncture & Moxibusition Society - from 1984 to 2002 -)

  • 이승덕
    • Journal of Acupuncture Research
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    • 제21권1호
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    • pp.176-188
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    • 2004
  • This study was carried out to investigate statistical validity of medical articles that used various statistical techniques such as t-test, analysis of variance, correlation analysis, regression analysis and chi-square test. For study 429 original articles using those statistical methods were selected from Journal of Korean Acupuncture & Moxibusition Society published from 1984 to 2002. 429 original articles were reviewed to analyzed the statistical procedures. Results are summarized as follows : 1. In this study 93 articles(21.68%) of 429 ones didn't report statement of statistical method in detail. 2. 53 articles(12.53%) didn't report p-value in correctly, and 245 articles(57.11 %) used mean${\pm}$standard error (Mean${\pm}$SEM.) and 109 articles used mean${\pm}$standard deviation(Mean${\pm}$SD.). All of 23 articles using nonparametric statistical techniques made an error to central tendency or dispersion. 3. 175 articles(59.93%) and 14 articles(4.79%) of 292 ones made an error to description of equal variances and normal distribution. 4. 99 articles(50%) of 185 ones misused t-test and 4 articles of 5 ones misused chi-square test. 5. 28 articles(73.68%) of 38 ones using discrete variable misused parametric technique such as t-test or ANOVA. 2 articles and 1 article of 125 ones choosing paired samples misused independent t-test and Mann-Whitney U test. 6. 20 articles using analysis of variance didn't use multiple comparison.

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투자신탁 이용 고객의 저축 상품에 관한 지식과 영향변수 (The Knowledge about Savings of Customers Who Utilize Investiment Trust Company and Related Factors)

  • 이연숙;강연아
    • 가족자원경영과 정책
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    • 제4권1호
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    • pp.15-28
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    • 2000
  • The purpose of this study was to examine the knowledge about savings of customers who utilize Investment Trust Company and to analyze the factors affecting it. The data for the analysis were collected by structured questionnaires and consisted of 191 customers who utilize Investment Trust Company. Descriptive. Descriptive Statistics including percentage, frequency, means, and standard derivation, t-test, one-way ANOVA with Scheffe test, multiple regression analysis were used to analyze the data. The following is a summary of major findings. 1) The customers knowledge about savings showed generally low-level. Especially the knowledge about tax and regulation of savings were the areas shown the lowest level. 2) The age, marital status, education and occupation of customers and total period of utilizing company were the factors affecting the knowledge of customers in the one-way ANOVA analysis. 3) The result of regression analysis indicated that age of customers and total periods of utilizing company were the significant predictors of customers’knowledge. These two variables explained 25.77% of variance of customers’knowledge about savings.

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대학 강의평가 수행에 관한 연구 (A Study on the Accomplishment of Lecture Evaluation in University)

  • 정진식
    • 한국비블리아학회지
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    • 제10권1호
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    • pp.93-115
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    • 1999
  • 본 연구는 1990년 초부터 현재까지 대학에서 개설되고 있는 모든 교과목을 대상으로 강의 평가를 수행하여 오고있는 H대학을 중심으로 이 대학에서 수행된바 있는 강의평가 분석 내용가운데 1998학년도 평가 결과만을 발췌하여 요약한 것이다. 강의평가 결과는 전체적으로 어떠한 경향을 보이고 있으며, 개별강의 평가결과는 어떠한가? 또 영역별 평가에서는 어떠한 차이를 나타내고 있는가? 등을 구명하기 위하여 7개 영역 10개 항목으로 구성된 설문 내용을 OMR용 카드를 통하여 작성하게 하였다. 강의 만족도에 가장 큰 영향을 미치는 변수를 분석하고 측정도구의 타당성을 검증하기 위하여 T-test와 Anova변량분석, 회귀분석 등의 통계분석 기법을 적용하였다.

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