• 제목/요약/키워드: less than full rank

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불완전계수의 선형모형에서 추정가능함수 (Estimable functions of less than full rank linear model)

  • 최재성
    • Journal of the Korean Data and Information Science Society
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    • 제24권2호
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    • pp.333-339
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    • 2013
  • 본 논문은 불완전계수의 모형행렬을 갖는 선형모형에서 추정가능함수를 다루고 있다. 고정효과 모형의 모수들은 일반적으로 추정가능한 모수가 아니므로 추정가능한 모수들의 함수를 구하기 위한 방법으로 완전계수의 인자분해 방법을 제시하고 있다. 완전계수의 인자분해 방법으로 구해진 추정가능함수의 타당성을 확인하기 위한 사영행렬은 불완전계수의 모형행렬을 구성하는 행벡터로 생성되는 벡터공간으로의 사영행렬과 동일함을 보여주고 있다. 완전계수의 인자분해로 추정가능함수를 구하는 방법과 모수들의 선형함수가 추정가능함수인 가의 확인을 위한 사영행렬의 이용에 관해 벡터공간의 관점에서 다루어지고 있다. 또한, 추정가능함수의 기저 구성에 관한 구체적 논의가 행해지고 있다.

Variable Selection Theorems in General Linear Model

  • 박정수;윤상후
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2006년도 PROCEEDINGS OF JOINT CONFERENCEOF KDISS AND KDAS
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    • pp.171-179
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    • 2006
  • For the problem of variable selection in linear models, we consider the errors are correlated with V covariance matrix. Hocking's theorems on the effects of the overfitting and the underfitting in linear model are extended to the less than full rank and correlated error model, and to the ANCOVA model.

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Variable Selection Theorems in General Linear Model

  • Yoon, Sang-Hoo;Park, Jeong-Soo
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2005년도 추계 학술발표회 논문집
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    • pp.187-192
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    • 2005
  • For the problem of variable selection in linear models, we consider the errors are correlated with V covariance matrix. Hocking's theorems on the effects of the overfitting and the undefitting in linear model are extended to the less than full rank and correlated error model, and to the ANCOVA model

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사영을 이용한 고정효과모형의 추정가능함수 (Estimable Functions of Fixed-Effects Model by Projections)

  • 최재성
    • 응용통계연구
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    • 제27권4호
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    • pp.553-560
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    • 2014
  • 본 논문은 고정효과의 선형모형에서 모수 또는 모수들의 선형함수로 추정가능한 함수를 다루고 있다. 추정할 수 있는 모수들의 수보다 더 많은 모수를 갖는 고정효과모형의 가정에서 관심모수가 추정가능한 모수가 아닌 경우에 최소제곱해는 유일하지 않다. 모형내 모수추정법으로 최소제곱법의 이용은 자료의 벡터공간에서 사영을 구하는 방법과 동일하므로 최소제곱해에 불변인 성질의 추정량을 갖는 추정가능함수의 형태를 사영의 관점에서 파악하고 구성하는 방법을 다루고 있다. 또한, 선형적으로 독립인 추정가능함수들의 기저집합을 구성하는 방법으로 사영공간의 고유벡터들을 활용할 수 있음을 논의하고 있다.

Factors Affecting Breast Cancer Detectability on Digital Breast Tomosynthesis and Two-Dimensional Digital Mammography in Patients with Dense Breasts

  • Soo Hyun Lee;Mi Jung Jang;Sun Mi Kim;Bo La Yun;Jiwon Rim;Jung Min Chang;Bohyoung Kim;Hye Young Choi
    • Korean Journal of Radiology
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    • 제20권1호
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    • pp.58-68
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    • 2019
  • Objective: To compare digital breast tomosynthesis (DBT) and conventional full-field digital mammography (FFDM) in the detectability of breast cancers in patients with dense breast tissue, and to determine the influencing factors in the detection of breast cancers using the two techniques. Materials and Methods: Three blinded radiologists independently graded cancer detectability of 300 breast cancers (288 women with dense breasts) on DBT and conventional FFDM images, retrospectively. Hormone status, histologic grade, T stage, and breast cancer subtype were recorded to identify factors affecting cancer detectability. The Wilcoxon signed-rank test was used to compare cancer detectability by DBT and conventional FFDM. Fisher's exact tests were used to determine differences in cancer characteristics between detectability groups. Kruskal-Wallis tests were used to determine whether the detectability score differed according to cancer characteristics. Results: Forty breast cancers (13.3%) were detectable only with DBT; 191 (63.7%) breast cancers were detected with both FFDM and DBT, and 69 (23%) were not detected with either. Cancer detectability scores were significantly higher for DBT than for conventional FFDM (median score, 6; range, 0-6; p < 0.001). The DBT-only cancer group had more invasive lobular-type breast cancers (22.5%) than the other two groups (i.e., cancer detected on both types of image [both-detected group], 5.2%; cancer not detected on either type of image [both-non-detected group], 7.3%), and less detectability of ductal carcinoma in situ (5% vs. 16.8% [both-detected group] vs. 27.5% [both-non-detected group]). Low-grade cancers were more often detected in the DBT-only group than in the both-detected group (22.5% vs. 10%, p = 0.026). Human epidermal growth factor receptor-2 (HER-2)-negative cancers were more often detected in the DBT-only group than in the both-detected group (92.3% vs. 70.5%, p = 0.004). Cancers surrounded by mostly glandular tissue were detected less often in the DBT only group than in the both-non-detected group (10% vs. 31.9%, p = 0.016). DBT cancer detectability scores were significantly associated with cancer type (p = 0.012), histologic grade (p = 0.013), T and N stage (p = 0.001, p = 0.024), proportion of glandular tissue surrounding lesions (p = 0.013), and lesion type (p < 0.001). Conclusion: Invasive lobular, low-grade, or HER-2-negative cancer is more detectable with DBT than with conventional FFDM in patients with dense breasts, but cancers surrounded by mostly glandular tissue might be missed with both techniques.

마오리族 傳統 服飾과 文身 考察 (A Study on the Traditional Costumes and Tattoo of the Maori)

  • 황춘섭;정현주
    • 복식문화연구
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    • 제3권2호
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    • pp.241-260
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    • 1995
  • The Maori's traditional clothing materials, basic forms of dress, and the pattern and technique of tatoo were examined in the present study in order to deepen the appreciation of the cultural heritage of the Maori. The research method employed was the analysis of written materials. And a fild-trip was also made for the study. The study was limitted to the traditional culture of body adornment of the Maori including the clothing which is preserved and practicing by them at the present day, and the origin and the process of the historical development of those are not included in the scope of the present study. Followings are the results of the study: (1) By far the most widely used fiber for Maori clothing is abtained from what is commonly called New Zealand Flax. The fiber of kiekie(Freycinetia baueriana) and cabbage trees(Cordyline spp.) may also be used. The strong, long-lasting fiber of toi(cordyline indivisa) is used for a prestige warrior's cloak. Flat strips of ti kauka(Cordyline australi) are also used as thatch on rain cloaks. (2) Regardless of technique used, Maori weaving is always worked horizontally from left to right. Traditionally the work was suspended between two upright turuturu or weaving sticks. As the work progressed a second pair of uprights was used to keep the work off the ground. These uprights were moved forward as required. Because the weaver sat on the ground, the working edge was kept at a height that was comfortable to reach. No weaving tools are used, the wefts(aho) being manipulated by the fingers. The two main Maori weaving techniques are whatu aho patahi(single-pair twining) and whatu aho rua(double-pair twining). (3) The Maori wore two basic garments - a waist met and a cloak. The cloth of commoners were of plain manufacture, while those of people of rank were superior, sometimes being decorated with feather or dyed tags and decorated borders. Children ran more-or-less naked until puberty, being dressed only for special events. Some working dress consisted of nothing more than belts with leaves thrust under them. Chiefs and commoners usually went barefoot, using rough sandals on journeys over rough country (4) The adornment of men and women of rank was an important matter of tribal concern as it was in chiefly persons that prestige of the group was centred, The durable items of Maori persons adornment were either worn or carried. Ornaments of various kinds were draped about the neck or suspended from pierced earlobes. Combs decorated the head. Personal decorations not only enhanced the appearance of men and women, but many had protective magical function. The most evident personal ornament was the hei-tiki made of jade or other material. Maori weapons were treasured by their owners. They served on bottle and were also personal regalia. A man of rank was not fully dressed without a weapon in hand. Also weapons were essential to effective oratory. (5) No man or woman of rank went without some tattoo adornment except in extremely rare instances when a person was too sacred to have any blood shed. The untattooed were marked as beeing commoners of no social standing. This indelible mark of rank was begun, with appropriate rite and ritual, at puberty. And tattoo marked the person as being of a marriageable age. Maori tattoo was unlike most traditional tattoo in that its main line were 'engraved' on the face with deep cuts made by miniature bone chisels. The fill-in areas were not tattooed with cuts but with the multiple pricks of small bone 'combs' that only lightly penetrated the skin surface. The instrument of tattoo consisted of small pots of pumice or wood into which was placed a wetted black pigment made from burnt kauri gum, burnt vegetable caterpillars or other sooty materials. A bird bone chisel or comb set at right angles on a short wooden handle was dipped into the gigment, that a rod or stick was used to tap head of this miniature adze, causing penetration of the skin surface. Black pigment lodged under the skin took on a bluish tinge. A full made facial tattoo consisted of major spirals with smaller spirals on each side of the nose and sweeping curved lines radiating out from between the brows over the forehead and from the nose to the chin. The major patterns were cut deep, while the secondary koru patterns were lightly pricked into the skin.

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