• 제목/요약/키워드: double factorial

검색결과 16건 처리시간 0.022초

Power Comparison in a Balanced Factorial Design with a Nested Factor

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1059-1071
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    • 2008
  • In a balanced factorial design with a nested factor where crossed factors as well as a nested factor exist simultaneously, powers of the rank transformed FR statistic for testing the main, nested and interaction effects are superior to those of the parametric F statistic. In heavy tailed distributions such as exponential and double exponential distributions, powers of the FR statistic show much higher level than those of the F statistic. Further powers of the F and FR statistic for testing the main effect show the highest level in an absolute size as compared with powers of the F and FR statistic for testing the nested and interaction effects. However powers of the FR statistic for testing the nested and interaction effects rather than the main effect are greater in a relative size than powers of F statistic for the all population distributions.

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A CLASS OF COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE PSI AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS

  • Guo, Bai-Ni;Qi, Feng
    • 대한수학회지
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    • 제48권3호
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    • pp.655-667
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    • 2011
  • A class of functions involving divided differences of the psi and tri-gamma functions and originating from Kershaw's double inequality are proved to be completely monotonic. As applications of these results, the monotonicity and convexity of a function involving the ratio of two gamma functions and originating from the establishment of the best upper and lower bounds in Kershaw's double inequality are derived, two sharp double inequalities involving ratios of double factorials are recovered, the probability integral or error function is estimated, a double inequality for ratio of the volumes of the unit balls in $\mathbb{R}^{n-1}$ and $\mathbb{R}^n$ respectively is deduced, and a symmetrical upper and lower bounds for the gamma function in terms of the psi function is generalized.

3×3 분할요인모형의 검정력 비교연구 (Power comparison for 3×3 split plot factorial design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제28권1호
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    • pp.143-152
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    • 2017
  • 블럭내의 완전랜덤화 제약은 하나의 블럭이 여러 실험구로 분할되는 분할요인모형으로 해결할 수 있다. 본 연구는 $3{\times}3$ 분할요인모형에서 두 주요인 및 하나의 블럭이 모두 고정일 경우에는, 실제로 존재하는 효과크기가 작을수록 혹은 검정대상의 요인효과 크기보다 검정대상 이외의 효과들의 크기가 상대적으로 작을수록 주구요인효과 및 세구요인효과 검정을 위한 순위변환 통계량의 검정력은 기존의 모수적 통계량의 검정력보다 뛰어남을 알 수 있다. 또한 모집단 모형의 오차항이 지수분포 및 이중지수분포일 때 효과크기 및 효과구성유형에 상관없이 거의 모든 상황하에서 순위변환 통계량의 검정력이 모수적 통계량의 검정력보다 상대적으로 높은 우위를 보이며, 정규분포 및 균일분포하에서는 상당히 유사한 수준을 나타낸다. 한편 두 주요인은 고정이나 하나의 블럭이 랜덤일 경우에는, 두 주요인 및 블럭이 모두 고정일 경우보다 모수적 통계량 및 순위변환 통계량의 검정력은 각각 낮은 수준을 보인다. 특히 주구요인효과 검정보다 세구요인효과 검정을 위한 모수적 통계량 및 순위변환 통계량의 검정력이 다소 낮은 수준임을 보이지만, 순위변환 통계량의 검정력은 모수적 통계량의 검정력에 비하여 높은 상대적 검정력 우위를 나타낸다.

블럭이 존재하는 $2{\times}2$ 요인모형의 검정력 분석 (Power analysis for $2{\times}2$ factorial in randomized complete block design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제22권2호
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    • pp.245-253
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    • 2011
  • 블럭이 존재하는 $2{\times}2$ 요인모형의 주 효과 및 상호작용효과를 검정하기 위한 순위변환 통계량의 검정력은 블럭크기, 효과들의 구성방법 및 지수분포, 이중지수분포, 정규분포, 균일 분포를 포함한 모든 모집단 분포하에서 모수적 통계량의 검정력보다 월등한 우위를 보인다. 이는 블럭이 추가된 요인 모형은 블럭과 요인의 상호작용들이 오차항을 증가시켜 모수적 통계량의 검정력을 감소시키는 보수적 성향을 보이나, 순위변환 통계량의 검정력은 상대적 우위를 유지함에 기인한다고 유추할 수 있다. 일반적으로 블럭크기가 작고, 효과크기가 클수록 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상당히 큰 격차의 상대적 우위를 보임을 알 수 있다.

Study on Optimal Working Conditions for Picking Head of Self-Propelled Pepper Harvester by Factorial Test

  • Kang, Kyung-Sik;Park, Hoon-Sang;Park, Seung-Je;Kang, Young-Sun;Kim, Dae-Cheol
    • Journal of Biosystems Engineering
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    • 제41권1호
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    • pp.12-20
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    • 2016
  • Purpose: Pepper prices have risen continuously because of a decrease in cultivation area; therefore, mechanical harvesting systems for peppers should be developed to reduce cost, time, and labor during harvest. In this study, a screw type picking head for a self-propelled pepper harvester was developed, and the optimal working conditions were evaluated considering helix types, winding directions of helix, and rotational speeds of the helix. Methods: The screw type was selected for the picking head after analyzing previous studies, and the device consisted of helices and a feed chain mechanism for conveying pepper branches. A double helix and a triple helix were manufactured, and rotational speeds of 200, 300, and 400 rpm were tested. The device was controlled by a variable speed (VS) motor and an inverter. Both the forward and reverse directions were tested for the winding and rotating directions of the helix. An experiment crop (cultivar: Longgreenmat) was cultivated in a plastic greenhouse. The test results were analyzed using the SAS program with ANOVA to examine the relationship between each factor and the performance of the picking head. Results: The results of the double and triple helix tests in the reverse direction showed gross harvest efficiency levels of 60-95%, mechanical damage rates of 8-20%, and net marketable portion rates of 50-80%. The dividing ratio was highest at a rotational speed of 400 rpm. Gross harvest efficiency was influenced by the types of helix and rotational speed. Net marketable portion was influenced by rotational speed but not influenced by the type of helix. Mechanical damage was not influenced by the type of helix or rotational speed. Conclusions: Best gross harvest efficiency was obtained at a rotational speed of 400 rpm; however, operating the device at that speed resulted in vibration, which should be reduced.

4 × 4 라틴방격모형 내 2 × 2 요인모형의 검정력 연구 (Power study for 2 × 2 factorial design in 4 × 4 latin square design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1195-1205
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    • 2014
  • 반복이 존재하는 $4{\times}4$ 라틴방격모형 내 $2{\times}2$ 요인모형의 주효과 및 상호작용효과를 검정하기 위한 순위변환 통계량의 검정력은 단일모형에 비하여 효과크기 및 반복크기가 커질수록 빠르게 증가한다. 일반적으로 다양한 효과구성 및 모든 오차항 분포와 상관없이 검정하고자 하는 요인 이외의 효과가 존재하는 요인 수가 적고 효과크기가 작을수록 순위변환 통계량의 검정력은 뛰어나다. 특히 오차항이 지수분포 및 이중지수분포일 때 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상대적으로 높은 비교우위를 보이며, 정규분포 및 균일분포에서는 전반적으로 별다른 차이가 없다. 이는 두개의 주효과, 한개의 상호작용효과 및 두개의 블럭효과 등의 다섯 가지 효과가 동시에 존재하는 다인자로 구성된 라틴방격과 요인모형의 결합형태의 특이성으로 인한 결과이다.

Progesterone 측정을 위한 액상(液相) 효소면역측정법(酵素免疫測定法)의 최적조건에 관한 연구 (Optimization of liquid phase enzyme immunoassay for determining of progesterone)

  • 강정부;최일관;손민수;허주형;김철호
    • 대한수의학회지
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    • 제32권3호
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    • pp.429-434
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    • 1992
  • This study was carried out to develop an effective liquid-phase double antibody enzyme immunoassay for determining of progesterone. The optimum conditions of assay system, 1st and 2nd antibodies, enzyme conjugate, and time reaction were invested. The bovine plasma progesterone level in dairy cattle and korean native bulls were also analyzed. The results obtained were as follows; 1. The reproducibility of petroleum ether was superior to that of ethyl ether as extract solvent of progesterone in plasma. 2. The optimum dilution rate of 1st and 2nd antibody was 30,000 and 10 times, respectively. Affer the reaction of enzyme conjugate to progesterone 1st antibody, and then 2nd antibody competition reaction was enough for over 1hr. 3. Average plasma progesterone level in 4 pregnant and 9 nonpregnant Holstein was $2.5{\pm}0.5$ and $0.7{\pm}0.2ng/m{\ell}$, respectively. Average plasma progesterone level of 10 Korean native bulls was $0.1{\pm}0.001ng/m{\ell}$ From these results, by using liquid phase double antibody enzyme immunoassay for progesterone is applicable to detect of early pregnancy diagnosis, factorial analysis of reproductive disorder, and also reproductive physiological function such as monitoring of cyclicity during the post-partum period.

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의복단서 및 착용자 연령이 인상형성에 미치는 영향 -남성 정장을 중심으로- (The Effect of Age and Clothing Cues on Impression Formation of Men Clothed in Suits)

  • 이은미;강혜원
    • 한국의류학회지
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    • 제18권2호
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    • pp.197-210
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    • 1994
  • The purpose of this study was to Investigate men's clothing in regard to (1) the effect of wearer's age and clothing: rues on impression formation, and (2) the effect of perceiver's age on impressions formed by the wearer's age and the fuction of clothing cues. The experimental design of this study was between-subjects 24_full factorial design by 4 independent variables. The subjects consisted of 192 subjects in each of two male perceiver groups according to age(20s and 50s). The experimental moterials developed for the study were a set of stimuli al)d a response scale. The stimuli consisted of 16 color photographs made by identical manipulations of 4 independent variables consisting of 2 levels each. Each one of the sixteen sub-samples included 12 subjects from 2 perceiver groups. The independent variables provided by the photographs were (1) wearer's age (20s and 50s), (2) suit color (navy blue and beige),' (3) suit style (single breasted and double breasted), and (4) necktie color (analogous and complementary colors) . The 7-point semantic differential response scale which was designed to measure the impression of the stimuli was composed of 30 bipolar adjectives. The responses to the semantic differential scales were analyzed using factor analysis and ANOVA. The results were as follows:1) Wearer's age, suit color, suit style, and necktie color had significant effects on impression of the 3 factors (appearance·potency, individuality activity, and evaluation) partiafly. However, the suit style was the most dominent clothing cue : the single breasted suit conveyed positive impression of individuality' activity to both of the wearer's age groups than double breasted suit did on both of the perceiver's age groups. 2) Perceiver's age partially influenced impressions formed by the age and the clothing cues of men clothed in suits : the young perceiver's group was less affected by them than middle aged group.

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시술 부위에 따른 성형외과의 비포 앤 애프터 광고에 대한 소비자 태도 연구 (A study on the consumers' attitude toward before and after technique in cosmetic surgery advertisement by kind of surgery)

  • 이현선
    • 한국생활과학회지
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    • 제23권3호
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    • pp.529-544
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    • 2014
  • The purpose of this study is to investigate the effect and potential problem of before and after technique in cosmetic surgery advertisements. This study would draw the positive and negative aspects in executing before and after technique by segmenting the surgical part(eyes, nose, and breast). And this study compared before and after technique with after technique and doctor(expert) endorser. Independent variables of this study are advertisement technique(before and after/after/doctor) and the kind of surgery(double eyelid surgery/ rhinoplasty/mastoplasty). Dependent variables of this study are general attitude toward advertising, hospital believability, ethical judgement toward advertising, intention to cosmetic surgery. This study is run as $3{\times}3$factorial design with 30 subjects per cell, resulting in a total sample size of 270. The result of this study shows that advertising technique in cosmetic surgery advertisement important variable to mediate the effect. This study found that before and after technique was more effective than any other techniques. Also, this study found that the kind of surgery variable should be considered in the execution of cosmetic surgery advertisement. Therefore, the result suggests that the kind of surgery and advertisement technique should be spontaneously considered by cosmetic surgery clinic and advertising regulation organizations for the effective communication way and consumer protection.

상표와 원산지가 소비자의 의류제품 평가에 미치는 영향에 관한 연구 (Influences of Brand and Country-of-Origin on Consumers' Perception of Apparel Products)

  • 유혜경
    • 한국의류학회지
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    • 제20권3호
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    • pp.538-549
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    • 1996
  • The main purpose of this study was to determine the influence of brand and country-of-origin on consumers' perception of apparel products. $2\times2$ between subjects factorial design with brand (no brand vs. prestigious brand) and country-of-origin (Italy vs. Korea) was used. Consumer ethnocentrism and product involvement were included as covariates in analyzing the data. The stimuus was a double-breasted v-neckline beige jacket. All the labels were removed and a label indicating one of the four brand/country-of-origin conditions was attached. The participants' perception of the jacket was measured in terms of product attitude, product evaluation, purchase intention and expected price. A total of 205 housewives participated in the field experiments conducted in front of four moi or department stores in Seoul, and 202 responses were used in the final analysis. There was no significant difference in product attitude, product evaluation and purchase intention according to brand or country-of-origin. But brand, country-of-origin and the interaction between the variables were significant in explaining the differences in expected price. Consumer ethnocentrism was significant in all the models, while product involvement was significant only in the case of product evaluation. The relationships among demographic variables, consumer ethnocentrism and product involvement were also examined.

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