• Title/Summary/Keyword: Split-Plot

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Review of Split Plot Design, Crossover Design and Replicated Design Using Latin Square Design (라틴방격법을 이용한 분할구 실험설계, 교차설계 및 반복설계의 고찰)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2011.04a
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    • pp.481-486
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    • 2011
  • The research reviews three experimental designs which include Split Plot Design (SPD), Crossover Design (CD) and Replicated Design (RD) by using Latin Square Design (LSD). SPD (CRD, LSD) and SPD (LSD, RCBD) that are derived from (S:A)${\times}B{\times}C{\times}D$ and $A{\times}B{\times}C{\times}D$. In addition, (S:A)${\times}B{\times}C$, (S:A)${\times}C{\times}D$ and (S:A)${\times}B{\times}C{\times}D$ can be used to generate various LSD and CD models. Finally, Replicated LSDs are considered to increase the power of detectability.

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Efficient determination of the size of experiments by using graphs in balanced design of experiments (균형된 실험계획법에서 그래프를 활용한 실험의 크기의 효율적인 결정)

  • Lim, Yong B.;Youn, Sora;Chung, Jong Hee
    • Journal of Korean Society for Quality Management
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    • v.46 no.3
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    • pp.651-658
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    • 2018
  • Purpose: The algorithm described in Lim(1998) is available to determine the sample size directly given specified significance level, power and signal-to-noise ratio. We research on the efficient determination of the sample size by visual methods. Methods: We propose three graphs for investigating the mutual relationship between the sample size r, power $1-{\beta}$ and the detectable signal-to-noise ratio ${\Delta}$. First graph shows the relationship between ${\Delta}$ and $1-{\beta}$ for the given r and it can be checked whether the power is sufficient enough. Second graph shows the relationship between r and ${\Delta}$ for the given power $1-{\beta}$. Third graph shows the relationship between r and $1-{\beta}$ for the given ${\Delta}$. It can be checked that which effects are sensitive to the efficient sample size by investigating those graphs. Results: In factorial design, randomized block design and the split plot design how to determine the sample size directly given specified significance level, power and signal-to-noise ratio is programmed by using R. A experiment to study the split plot design in Hicks(1982) is used as an example. We compare the sample sizes calculated by randomized block design with those by split plot design. By using graphs, we can check the possibility of reducing the sample size efficiently. Conclusion: The proposed visual methods can help an engineer to make a proper plan to reduce the sample size.

A Case Study on Pillow Talk(1959) and Down with Love(2003): Split Screen in Romantic Comedy Films (<필로우 톡>(1959)과 <다운 위드 러브>(2003): 로맨틱 코미디 영화의 화면 분할)

  • Chang, Woo-Jin
    • The Journal of the Korea Contents Association
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    • v.14 no.3
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    • pp.80-93
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    • 2014
  • This paper examines how split-screen technique works to meet the goals and strategies of the narrative in the romantic comedy films which deal with love and sex. The plot of romantic comedy films aims to the union and marriage of the couple, but is structured to delay the union as much as possible through comical situations and episodes. Usually split-screen scenes are placed before plot point 2 and serve to make a laugh and humor. Besides, it helps focusing on two main characters. Comedy related to love and sex comes from information gap between two main characters which can cause a tension, double meaning of spoken words and combination of split-screen images. Michael Gordon's Pillow Talk(1959) and Peyton Reed's Down with Love(2003) are reviewed in this study.

Type I Error Rates and Power for Omnibus Tests of Repeated Measures Measn in the Split-Plot Design : F test, $\widetilde{\xi}$F test, and CIGA test

  • Kim, Hyunchul
    • Communications for Statistical Applications and Methods
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    • v.4 no.1
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    • pp.139-149
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    • 1997
  • For split plot designs exact univariate F tests of the within-subjects main effect are based on the assumption of multisample sphericity. Type I error rates and power are reported for the F test and two tests designed for use when multisample sphericity is violated: the $\widetilde{\xi}$-adjusted test and the Corrected Improved General Approximation(CIGA) test.The results indicate that even though the F test and the $\widetilde{\xi}$-adjusted test have better power than the CIGA test in some conditions, the F test and the $\widetilde{\xi}$-adjusted test do not control Type I error rates when the design is unbalanced and the F test dose not have a good control of Type I error rates when sphericity assumption is severely violated.

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Review and Suggestions of Models for Measurement System Analysis (측정 시스템 분석 모형의 고찰 및 새로운 모형의 제안)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.10 no.1
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    • pp.191-195
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    • 2008
  • The present study contributes reviewing and suggesting various models for measurement system analysis (MSA). Measurement errors consist of accuracy, linearity, stability, part precision, repeatability and reproducibility (R&R). First, the major content presents split-plot design, and the combination method of crossed and nested design for obtaining gage R&R. Second, we propose $\bar{x}-s$ variable control chart for calculating the gage R&R and number of distinct category. Lastly, investigating the determination of gage performance curve which establishes the control specification propagating calibration uncertainties and measurement errors is described.

The Study on the Effects of Various N.P.K. Fertilization Levels on Hop Yield (NPK의 시비수준이 호프수량에 미치는 영향에 관한 연구)

  • 임웅규
    • Journal of Plant Biology
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    • v.19 no.2
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    • pp.37-40
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    • 1976
  • The experiment designed to obtain information relative to the favourable levels to apply N.P.K fertilizer was conducted at the hop garden of College of Agriculture, S.N.U. in 1975. The varieties used were 1-year-old Cascade, Hallertau and Shinshuwase. The design of the experiment was a split plot design with 3 replications. Yields were recorded as fresh weight of harvested cones in gram per split plot. The results obtained from the experiment were as follows: 1. The results from analysis of the data for 3 varieties indicated that significant increase in yield were found due to the application of 46g N, 20g P2O5 and 60kg K2O per plant, although higher level thn the above caused a remarkable reduction of yield. 2. The individual fresh weight of harvested cones was significantly increased with application of nitrogen, phosphorus and potash, regardless of fertilizer levels. 3. Analysis of variance for yields showed that there were no significant interaction between fertilizer level and variety, i.e., all varieties used might require the same fertilizer level.

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Comparison of Two Methods for Size-interpolation on CRT Display : Analog Stimulus-Digital Response Vs. Digital Stimulus-Analog Response (CRT 표시장치에서 두 형태의 크기-내삽 추정 방법의 비교 연구 : 상사자극-계수 반응과 계수 자극-상사반응)

  • Ro, Jae-ho
    • Journal of Industrial Technology
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    • v.14
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    • pp.127-140
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    • 1994
  • This study is concerned with the accuracy and the patterns when different methods was used in interpolation task. Although 3 methods employed the same modality for input (visual) and for output (manual responding), they differed in central processing, which method 1 is relatively more tendency of verbal processing, method 2 is realtively more tendency of spatial processing and method 3 needed a number of switching code (verbal/spatial) performing task. Split-plot design was adopted, which whole plot consisted of methods (3), orientations (horizon, vertical), base-line sizes (300, 500, 700 pixels) and split plot consisted of target locations (1-99). The results showed the anchor effect and the range effect. Method 2, method 3 and method 1 that order was better accuracy. ANOVA showed that the accuracy was significantly influenced by the method, the location of target, and its interactions ($method{\times}location$, $size{\times}location$). Analysis of error data, response time and frequency of under, just, over estimate indicated that a systematic error pattern was made in task and methods changed not only the performance but also the pattern. The results provided support for the importance of the multiple resources theory in accounting for S-C-R compatibility and task performance. They are discussed in terms of multiple resources theory and guidelines for system design is suggested by the S-C-R compatibility.

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Effects of Split Nitrogen Application on Growth Characters, Yield Potential and Feed Value in Jeju Italian Millet (제주조의 질소분시 횟수에 따른 생육반응, 수량성 및 사료가치 변화)

  • Cho, Nam-Ki;Kang, Young-Kil;Song, Chang-Kil;Ko, Dong-Hwan;Cho, Young-Il
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.23 no.1
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    • pp.37-42
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    • 2003
  • This study was conducted at a volcanic ash soil in the Experimental Farm of Cheju national university from May 1, 2000 to August 25, 2000 to determine the optimum frequency of split N application for. forage production of Jeju Italian millet(Setaria italica Beauvis). N .rate was applied with 200kg N/ha, and frequencies of the split application were 1. 2, 3, 4 and f times. Days to heading was 87 days in the N applied plot all at once, was delayed to 93 days at the five times split-applied plot. Plant height was the greatest (143cm) at the four times split-applied plot, but above o. below that was short. Leaf length, number of leaves and nodes were a similar tendency to plant height. SPAD(Soil Plant Analysis Development) reading values rose 34.3∼36.2 as N was split-applied from one to five times. Fresh forage, dry matter, crude Protein and TDN yield at the H split-applied to four times increased 33.08∼5l.50MT/ha, 9.94∼13.36MT/ha, 0.93∼1.70MT/ha and 5.06∼7.28MT/ha, respectively, but at the five tines split-applied plot decreased to 49.33MT/ha, 12.69MT/ha, 1.65MT/ha and 6.98 MT/ha, respectively. As the increasing of N split-applied. crude protein, crude fat NFE and TDN content increased 9.4∼13.0%, 1.5∼l.9%, 44.5∼45.5% and 50.9∼55.0%, respectively, whereas crude fiber and crude ash content decreased 35.3∼31.6% and 9.3∼8.3, respectively.

A Study on the Variation of Soil Physical Properties on the water requirement, growth, and yield in the direct Sowing culture of rice (수도직파재배에서 토양의 물리성 변화가 용수량과 생육 수량에 미치는 영향에 관한 연구)

  • 김철수;김시원
    • Water for future
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    • v.10 no.2
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    • pp.81-90
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    • 1977
  • The research is conducted to study the effect of the soil physical properties in the direct sowing culture on the water requirement, growth, and yield of rice with Early-Tongil at the experimental paddy field of the Sangju agri. and seri. junior college in Keyngbuk province from 6th May to 15th September in 1977. The experimental plots are designed with the four plots which are non-irrigated standard (plowing to 15cm), non-irrigated deep lowed (plowing to 25cm), irrigated standard (plowing to 15cm), and irrigated deep plowing plot (plowing to 25cm) and also each plot is repreated four times by the split plot design. The results obtained are summarized as follows: 1) The soil sample was ML to 10cm depth from ground surface and those from 10cm to 20cm depth and from 20cm to 30cm were CL. Each specific gravity was 2. 6, 2. 6 and 2. 7. 2) The weather during culturing period was the sane as the normal year of mean temperature. The precipitation was little and the distribution of it was disordered comparing to normal year but the heavy sunshine gave good effect on ripening. 3) Percolation loss was increased more at the non-irrigated plot than at the irrigated plot, and that of deep-plowed plot was increased more. 4) Grain yield per 10a. of non-irrigated deep plowed plot was 898kg, it was greated than others but there wa no significance. 5) A significant difference in the number of spikelets per panicle was found between nonirrigated plot and irrigated plot, and the number of spiklelets per panicle at the nonirrigated plot was more than that of the irrigated plot. But there was no significance in the other yield components-number of panicle, fertility abd ripening ratio-at the irrigated plot, ut weight of 100 grains was higher at non-irrigated plot. 6) Yield and growth at the deep plowed plot were higher than those of standard plowed plot.

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Nitrogen Split Application of Direct-seeded Rice in Tillage and No-tillage Systems (경운과 무경운 조건에서 벼 건답휴립직파재배의 질소분시비율)

  • 이석순;홍승범;백준호
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.37 no.5
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    • pp.405-412
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    • 1992
  • Growth characters of dry seeded paddy rice was studied at different levels of nitrogen(N) split application (basal : immediately after irrigation : 2 weeks after irrigation: 25 days before heading: heading stage with 10 : 20 : 30 : 20 : 20%, 20 : 30 : 20 : 20 : 10%, 30 : 40 : 0 : 20 : 10%, and 100% basal of slow release urea) in tillage and no-tillage systems. On May 17 in 1990, 6kg /10a of dry seeds of a breeding line of Milyang 95 was broadcasted and covered with a power tiller. Between tillage and no-tillage systems yield and its components, lodging related characteristics, and contents of cellulose, hemicellulose and lignin of culm base were similar. Leaf area index at heading stage was higher in tillage, but lodging index was lower compared with those in no-tillage plot. Culm length, effective tiller ratio, culm base weight, 1000-grain weight, harvest index in slow release N applied plot were higher compared with those in other N treatments. Grain yield of rice among levels of N split applications was similar in tillage, but it was higher in slow release N applied plot in no-tillage if 1kg /10a of additional N was applied as urea at panicle formation stage. At early growth stage N concentration and N uptake were lower in the slow release N applied plot, but higher after heading stage compared with other N treatments. The number of tillers was lowest in slow release N applied plot during the tillering stage, but the number of panicles per hill was similar to other N treatments.

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