• Title/Summary/Keyword: Statistical Difference

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Sensory Difference Testing: The Problem of Overdispersion and the Use of Beta Binomial Statistical Analysis

  • Lee, Hye-Seong;O'Mahony, Michael
    • Food Science and Biotechnology
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    • 제15권4호
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    • pp.494-498
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    • 2006
  • An increase in variance (overdispersion) can occur when a binomial statistical analysis is applied to sensory difference test data in which replicate sensory evaluations (tastings) and multiple evaluators (judges) are combined to increase the sample size. Such a practice can cause extensive Type I errors, leading to serious misinterpretations of the data, especially when traditional simple binomial analysis is applied. Alternatively, the use of beta binomial analysis will circumvent the problem of overdispersion. This brief review discusses the uses and computation methodology of beta binomial analysis and in practice evidence for the occurrence of overdispersion.

Simultaneous outlier detection and variable selection via difference-based regression model and stochastic search variable selection

  • Park, Jong Suk;Park, Chun Gun;Lee, Kyeong Eun
    • Communications for Statistical Applications and Methods
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    • 제26권2호
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    • pp.149-161
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    • 2019
  • In this article, we suggest the following approaches to simultaneous variable selection and outlier detection. First, we determine possible candidates for outliers using properties of an intercept estimator in a difference-based regression model, and the information of outliers is reflected in the multiple regression model adding mean shift parameters. Second, we select the best model from the model including the outlier candidates as predictors using stochastic search variable selection. Finally, we evaluate our method using simulations and real data analysis to yield promising results. In addition, we need to develop our method to make robust estimates. We will also to the nonparametric regression model for simultaneous outlier detection and variable selection.

Assessment and Interpretation of Bioequivalence for Two Drug Formulations using Crossover Design

  • Ko, Seoung-gon;Oh, Hyun-Sook
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.601-610
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    • 1999
  • Crossover design is officially except for special occasions recommended by KFDA and FDA for assessing Bioequivalence between two drugs one for reference and the other for innovator. Such design is regarded as a special case of latin square split-polt or repeated measurement design and its main difference with other designing methods is that each subject in an experiment is exposed two drugs in sequence. Therefore general statistical analysis is not suitable since the model for this experiment includes carryover effect in addition to period and sequence effect. in this paper analysis for crossover model with two drugs and its interpretation are mainly discussed and an example is given for illustration.

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Polynomially Adjusted Normal Approximation to the Null Distribution of Ansari-Bradley Statistic

  • Ha, Hyung-Tae;Yang, Wan-Youn
    • 응용통계연구
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    • 제24권6호
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    • pp.1161-1168
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    • 2011
  • The approximation for the distribution functions of nonparametric test statistics is a significant step in statistical inference. A rank sum test for dispersions proposed by Ansari and Bradley (1960), which is widely used to distinguish the variation between two populations, has been considered as one of the most popular nonparametric statistics. In this paper, the statistical tables for the distribution of the nonparametric Ansari-Bradley statistic is produced by use of polynomially adjusted normal approximation as a semi parametric density approximation technique. Polynomial adjustment can significantly improve approximation precision from normal approximation. The normal-polynomial density approximation for Ansari-Bradley statistic under finite sample sizes is utilized to provide the statistical table for various combination of its sample sizes. In order to find the optimal degree of polynomial adjustment of the proposed technique, the sum of squared probability mass function(PMF) difference between the exact distribution and its approximant is measured. It was observed that the approximation utilizing only two more moments of Ansari-Bradley statistic (in addition to the first two moments for normal approximation provide) more accurate approximations for various combinations of parameters. For instance, four degree polynomially adjusted normal approximant is about 117 times more accurate than normal approximation with respect to the sum of the squared PMF difference.

침자(鍼刺) 및 봉독요법(蜂毒療法)이 Carrageenin으로 유발(誘發)된 흰쥐의 슬관절(膝關節) 염증성(炎症性) 부종(浮腫)에 미치는 효능(效能)에 대(對)한 비교(比較) 연구(硏究) (Comparative effects of Apitoxin(Bee Venom) & Regular Acupuncture therapy on the knee joint arthritis induced by carrageenin solution in rats)

  • 김갑성
    • 대한한의학회지
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    • 제16권1호통권29호
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    • pp.379-402
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    • 1995
  • This study was performed to investigate the comparative effects of Apitoxin(0.1% bee venom 0.1cc) & Acupuncture therapy on the knee joint arthritis induced by 0.1% carrageenin solution at Rt. knee joint in rats. After carrageenin injection, the apitoxin was injected for two times (Experimental group I : 1 & 24hours later, Experimental group II : 48 & 72hours later) into the corresponding loci to Rt. $ST_{35}$(Group 3) & $EX-LE_4$(group 4) of the human body in rats. Acupuncture therapy was done same as above. And then the comparative effects of apitoxin and acupuncture therapy on the knee joint arthritis were estimated by the WBC count, RBC count, hemoglobin level, hematocrit level and ASO titer in serum. The results were summerized as follows : 1. The effects of apitoxin & acupuncture on WBC count showed remarkable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 2. The effect of apitoxin on RBC count showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. The acupuncture was not showed decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 3. The effects of apitoxin & acupuncture on hemoglobin level showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 4. The effect of apitoxin on hematocrit level showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. The acupuncture was not showed decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 5. The effect of apitoxin on ASO titer showed noticeable decrease at group 3 & group 4 as compared with the control group only in experimental group I. The apitoxin & acupuncture showed decrease at group 3 & group 4 as compared with the control group in experimental group II. There were significantly statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. The effect of apitoxin showed slightly decrease as compared with the acupuncture therapy by Duncan's multiple range test.

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방사선 투시를 이용한 개폐구 운동에 따른 수직 고경 계측점의 안정성에 관한 연구 (A FLUOROSCOPIC STUDY ON THE STABILITY OF SKIN REFERENCE POINTS DURING JAW OPENING AND CLOSING MOVEMENT)

  • 안형준;김창회;김영수;김용호
    • 대한치과보철학회지
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    • 제37권4호
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    • pp.516-530
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    • 1999
  • The current clinical technique for occlusal vertical dimension recording is based on marking the skin reference points on the patient's face and measuring between these points using caliper-like device. And it is difficult to achieve reliable measurements by this technique because of movable soft tissue. The purpose of this study is to reveal the stability of skin reference points by comparing the relative movement between extra-oral skin reference points and intra-oral reference points using X-ray fluoroscope. 10 test subjects were divided into 2 groups : Group I (natural dentition) and Group II (denture-wearer whose vertical dimension was lost) and Group III consists of identical test subjects to Group II with their upper denture removed and record base inserted. Attaching the 3 mm diameter steel ball to nose tip, lower lip, chin and to existing denture (or record base), fluoroscopic examination and recording were taken during 2 jaw opening and closing movements. After subsequent digitization using personal computer, 1219 still pictures with 0.1 second interval were made. Using the 2 dimensional graphic software, measurements between reference points were executed. Dividing the entire jaw movement into 3 ranges (total, 1st half opening, 2nd half opening), rate of movement and relative movement between extra-oral and intra-oral reference points were calculated and statistically analyzed. The results of this study are as follows. 1 Within the same experimental group, no statistical difference was found in the stability of skin reference between lower lip point and chin point during total range of jaw opening and closing movement (p>.05) 2. In the first half range of jaw opening, statistical difference was found between Group I (natural dentition) and Group II (denture wearer) (p<.05) Group I has greater skin reference stability than Group II. 3. In the first half range of jaw opening, statistical difference was found between Group I and Group III (record base wearer) (p<.05). Group I has greater skin reference stability than Group III. 4. In the first half range of jaw opening, no statistical difference was found in the stability of skin reference between Group II and Group III (p>.05). 5. In the second half range of jaw opening, no statistical difference was found in the stability of skin reference between any experimental groups (p>.05). 6. In patients with their occlusal vertical dimension lost, employing other measuring references rather than skin is recommended because of low stability.

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모자동실군과 모자별실군 질식분만 산모의 피로도 비교 (A Comparative Study on the Level of Postpartum Women's Fatigue between Rooming-in and Non Rooming-in Groups)

  • 송주은
    • 여성건강간호학회지
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    • 제7권3호
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    • pp.241-255
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    • 2001
  • This is a cross-sectional descriptive study which compares the level of postpartum women's physical, phychological, neurosensory fatigue between rooming-in and non rooming-in groups. The data were collected by using self-report questionnaire from April 1 to May 31, 2001. Subjects were 68 mothers who opted the rooming-in choice and 98 mothers who did not choose the rooming-in at one hospital in Seoul, Korea. They all had NSVD. The research questionnaire consisted of 36 items on general chracteristics and 30 items on postpartum fatigue developed by Pugh (1993). The data were analyzed by using the SPSS 10.0 window program. The results of this study were as follow: 1. There was significant statistical difference in general characteristics between rooming-in and non rooming-in groups in prenatal class attendance ($x^2$=3.935, p=0.047), maternal fetal attachment score (t=2.130, p=0.035), husband attendance during the labor and delivery ($x^2$=9.147, p=0.002), breast feeding ($x^2$=12.503, p=0.000), and self feeding time including bottle feeding (t=4.588, p=0.000). 2. There was no significant statistical difference in the level of total fatigue score between two groups (t=0.282, p=0.780). 3. The physical and neurosensory fatigue scores were slightly higher in rooming-in group ($21.63{\pm}4.92$, $18.53{\pm}4.60$) than those ($20.71{\pm}5.78$, $18.23{\pm}5.39$) of non rooming-in group. And the phychological fatigue score was slightly higher in non rooming-in group ($17.67{\pm}4.95$) than that ($17.04{\pm}4.63$) of rooming-in group. However, there was no significant statistical difference in the level of three sub-dimension fatigue between two groups (t=1.068, p=0.287; t=-0.827, p=0.410; t=0.368, p=0.714). 4. Even after controlling characteristics showed significant differences between two groups, there was no significant statistical difference in the level of fatigue between two groups (F=0.135, p=0.714). According to this study, there was no significant statistical difference in the level of postpartum fatigue whether they were rooming-in or not. Based on this result, the common notion of rooming-in mothers will be more fatigue than non rooming-in mothers is proved to be false. However, it is necessary to develop appropriate nursing interventions to meet the need of mothers who decide to rooming-in.

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대한치과보철학회지에 게재된 논문의 통계적 오류: 국문논문과 영문논문의 비교 (An assessment of statistical errors of articles in the Journal of Korean Academy of Prosthodontics: Comparison between Korean version and English version)

  • 박동규;최용근;김영수;신상완
    • 대한치과보철학회지
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    • 제47권3호
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    • pp.273-285
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    • 2009
  • 연구목적: 대한치과보철학회지에 사용된 통계적 방법의 통계적 오류현황을 파악하여 통계적 방법의 잘못된 활용으로 인한 치의학 연구논문에서의 문제를 검토하고, 또한 통계적 오류의 유형과 빈도를 파악하여 동일문제의 재발 방지 및 효율적 대처의 기회로 삼고자 함이다. 연구 재료 및 방법: 2000년부터 2006년까지의 대한치과보철학회지에 게재된 총 399편의 논문 중 통계적 방법이 사용된 292편의 논문을 조사했고, 이를 위해 1997년 국제의학학술지 편집위원회의 "생의학 학술지에 투고하는 원고의 통일양식의 통계학적 방법론에 관한 서술지침" 15개항을 기초로 하여 1) 통계 프로그램의 불명시, 2) 통계 방법의 부적절한 기술, 3) 통계용어의 오용 등으로 크게 3가지 범주로 구성된 점검표를 사용하여 통계적 방법의 종류 및 통계적 오류부분을 확인하고 이를 한글판과 영문판으로 비교해 보았다. 그 결과는 다음과 같다. 결과 및 결론: 1. 통계 프로그램 명시 오류는 한글판에선 54%가, 영문판에선 59%가 있었으나 통계적으로 유의한 차이를 보이진 않았다 (P = .66). 2. 통계 방법의 부적절한 기술에 관한 오류는 한글판에선 49%가, 영문판에선 33%가 있었으나 통계적으로 유의한 차이를 보이진 않았다 (P = .09). 3. 통계용어의 오용오류는 한글판에선 54%가, 영문판에선 24%가 있었으며 통계적으로도 유의한 차이가 있었다 (P = .01). 상기 결과로 볼 때 통계용어의 오용 오류 이외엔 통계적 유의성을 보이진 않아서 한글판과 영문판의 통계적 오류의 비율은 유사하게 나타난 걸로 추정되며, 전체적으로 대한치과보철학회지의 통계적 타당성은 다소 부족하게 나타났다. 따라서 향후 치의학 연구자는 통계적 방법을 기술하고 적용할 때 통계적 오류를 피하기 위해 주의를 기울여야 할 것이며, 아울러 치의학 논문에서의 통계학적 방법론에 대한 인식의 제고가 필요하다고 보인다.

미국의 통계소양교육 분석을 통한 우리나라 교사교육 방향의 탐색 (A study of the policy change of teacher' education in Korea with an analysis of America statistical literacy education)

  • 김정란;김응환
    • 한국학교수학회논문집
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    • 제20권2호
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    • pp.163-186
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    • 2017
  • 본 연구에서는 미국의 통계소양교육에 관한 내용과 우리나라 2015교육과정 수학교과에서 반영한 통계소양 성취를 위한 교육환경을 분석하였다. 이 분석 연구를 통해 미국과 우리나라는 사회적 교육적 환경의 차이점이 있음을 발견할 수 있었다. 이를 바탕으로 우리나라 수학교사들에게 통계교사교육 방향의 전환이 시급함을 발견 할 수 있었다. 첫째, 통계교육은 우선 교사가 수학과 통계학의 차이를 분명히 인식하는 것이 필요하다. 그리고 통계교육의 방법과 평가영역에서도 특별한 변화가 필요하다. 절차적 계산을 질문하는 것과 함께 개념과 과정을 이해했는지도 물어야 한다. 또한 통계적 사고를 할 수 있는지 그리고 통계적 문제해결방법인 '문제구성-데이터수집-분석-결과해석' 과정으로 프로젝트를 수행할 수 있도록 하는 교사교육이 필요하다. 둘째, 현재는 예비수학교사들이 임용고사라는 확률론 중심의 이론적 시험에 합격해야하는 필요에 의해 이론 공부에 치중하고 있다. 그러나 학교수학에서는 확률론 영역의 이론 강조도 중요하지만 자료 분석을 기초로 한 문제해결과정인 통계적 사고력 신장에 초점이 맞추어져야 하는 것이 더 중요하다고 생각한다. 특히 학교수업을 통해 학생들에게 미래에 필요한 통계소양을 지식으로 습득할 수 있도록 지도할 수 있는 수학교사들의 전문성향상을 위한 통계교육담당 수학교사로서의 직업교육의 준비가 되어 있어야 함을 탐색하고 제언하였다.

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정상군과 요통환자군의 시각변화에 따른 자세 균형 조절에 관한 연구 (A Study of Sitting Balance Control between Normal group and with Low Back Pain group According to Eyes Condition Change)

  • 김병선;이석민
    • 대한물리치료과학회지
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    • 제10권1호
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    • pp.109-121
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    • 2003
  • The purpose of this study was to test the difference of sitting balance control between a normal group and a group of patients with low back pain when their eyes were opened or closed. The 30 subjects of the control group had been chosen from healthy individuals who fit into the pre-designed criteria, and the 30 subjects of the experimental group were composed of the patients with LBP who had their treatment from S hospital from september 1, 2002, to October 30, 2002, and the subjects were measured by static balance test by using a balance performance monitor(BPM). Static balance test was done twice for each subject with his or her eyes opened and closed. Collected data were statistically analyzed by SPSS/PC using unpaired T-Test, Pained T-Test and multiple regression. The results were as follows: 1. In static balance test, normal group did not show statistical significance in sway angle(Anterior, Posterior, left and Right), sway path, sway area and maximal sway velocity, but showed statistical significance in mean balance with eyes opened and eyes dosed(P<.05) 2. In static balance test, LBP group did not show statistical significance in sway angle(Anterior, Posterior, left and Right), mean balance, sway path, sway area and maximal sway velocity with eyes opened and eyes dosed 3. With eyes opened, the comparison between the normal group and the LBP group showed statistical significance in sway angle(Anterior, Posterior, left and Right), mean valance, sway path, sway area and maximal sway velocity(p<.05). With eyes closed, normal group and LBP group did not show statistical significance in sway angle(Anterior and Right), sway area, but showed statistical significance in sway angle(Posterior and Left), mean balance, sway path, sway area and maximal sway velocity(p<.05) In conclusion, there was a significant difference in static sitting balance between normal group and LBP patients group. For future studies, I strongly suggest that researches be done on the treatment with LBP by predicting changes of postures and manipulating them.

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