• 제목/요약/키워드: The l-level rotation design

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l-STEP GENERALIZED COMPOSITE ESTIMATOR UNDER 3-WAY BALANCED ROTATION DESIGN

  • KIM K. W.;PARK Y. S.;KIM N. Y.
    • Journal of the Korean Statistical Society
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    • 제34권3호
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    • pp.219-233
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    • 2005
  • The 3-way balanced multi-level rotation design has been discussed (Park Kim and Kim, 2003), where the 3-way balancing is done on interview time, in monthly sample and rotation group and recall time. A greater advantage of 3-way balanced design is accomplished by an estimator. To obtain the advantage, we generalized previous generalized composite estimator (GCE). We call this as l-step GCE. The variance of the l-step GCE's of various characteristics of interest are presented. Also, we provide the coefficients which minimize the variance of the l-step GCE. Minimizing a weighted sum of variances of all concerned estimators of interest, we drive one set of the compromise coefficient of l-step GCE's to preserve additivity of estimates.

l/G 교체표본디자인에서의 일반화복합추정량과 평균제곱오차에 관한 연구 (Generalized Composite Estimators and Mean Squared Errors for l/G Rotation Design)

  • 김기환;박유성;남궁재은
    • 응용통계연구
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    • 제17권1호
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    • pp.61-73
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    • 2004
  • 교체표본조사에서는 모든 표본단위를 복수 개(=G)의 교체그룹으로 나누고 일정 횟수만큼 조사한 후 표본단위 의 교체를 하는 경우와 조사기 간 동안 동일한 표본단위를 조사한 후 교체그룹 자체를 교체하는 두 가지 경우가 있다. 본 연구는 후자의 경우를 일반화하는 것으로, 매 조사월에서 하나의 교체그룹이 조사되고 이 교체그룹에 속한 모든 표본단위는 최근 l개월 동안의 정보를 제공하는 l-수준 교체표본설계이다. 표본단위 교체가 오직 교체그룹의 총 개수인 G와 회상 개월 수인 l에 의해 결정되므로 이를 l/G 교체표본설계로 일반화하였으며 일반화복합추정량의 분산과 두 가지 형태의 편향(bias)하에서 MSE를 구하고 절충 GCE(compromise GCE)의 계수를 유도하였다. 또한 GCE의 분산과 MSE를 상관계수, 편향, 표본조사단위의 분산의 형태, 그리고 설계간격(design gap)의 형태에 따라 분석하였다.

Multi-Level Rotation Sampling Designs and the Variances of Extended Generalized Composite Estimators

  • Park, You-Sung;Park, Jai-Won;Kim, Kee-Whan
    • 한국조사연구학회:학술대회논문집
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    • 한국조사연구학회 2002년도 추계학술대회 발표논문집
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    • pp.255-274
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    • 2002
  • We classify rotation sampling designs into two classes. The first class replaces sample units within the same rotation group while the second class replaces sample units between different rotation groups. The first class is specified by the three-way balanced design which is a multi-level version of previous balanced designs. We introduce an extended generalized composite estimator (EGCE) and derive its variance and mean squared error for each of the two classes of design, cooperating two types of correlations and three types of biases. Unbiased estimators are derived for difference between interview time biases, between recall time biases, and between rotation group biases. Using the variance and mean squared error, since any rotation design belongs to one of the two classes and the EGCE is a most general estimator for rotation design, we evaluate the efficiency of EGCE to simple weighted estimator and the effects of levels, design gaps, and rotation patterns on variance and mean squared error.

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Evaluation of an Experimentally Designed Stereotactic Guidance System for Determining Needle Entry Point during Uniplanar Fluoroscopy-guided Intervention

  • Lee, Jae-Heon;Jeon, Gye-Rok;Ro, Jung-Hoon;Byoen, Gyeong-Jo;Kim, Tae-Kyun;Kim, Kyung-Hoon
    • The Korean Journal of Pain
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    • 제25권2호
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    • pp.81-88
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    • 2012
  • Background: In discography performed during percutaneous endoscopic lumbar discectomy (PELD) via the posterolateral approach, it is difficult to create a fluoroscopic tunnel view because a long needle is required for discography and the guide-wire used for consecutive PELD interrupts rotation of fluoroscope. A stereotactic system was designed to facilitate the determination of the needle entry point, and the feasibility of this system was evaluated during interventional spine procedures. Methods: A newly designed stereotactic guidance system underwent a field test application for PELD. Sixty patients who underwent single-level PELD at L4-L5 were randomly divided into conventional or stereotactic groups. PELD was performed via the posterolateral approach using the entry point on the skin determined by premeasured distance from the midline and angles according to preoperative magnetic resonance imaging (MRI) findings. Needle entry accuracy provided by the two groups was determined by comparing the distance and angle measured by postoperative computed tomography with those measured by preoperative MRI. The duration and radiation exposure for determining the entry point were measured in the groups. Results: The new stereotactic guidance system and the conventional method provided similarly accurate entry points for discography and consecutive PELD. However, the new stereotactic guidance system lowered the duration and radiation exposure for determining the entry point. Conclusions: The new stereotactic guidance system under fluoroscopy provided a reliable needle entry point for discography and consecutive PELD. Furthermore, it reduced the duration and radiation exposure associated with determining needle entry.