• 제목/요약/키워드: Split Plot Design

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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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    • 제4권1호
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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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NPK의 시비수준이 호프수량에 미치는 영향에 관한 연구 (The Study on the Effects of Various N.P.K. Fertilization Levels on Hop Yield)

  • 임웅규
    • Journal of Plant Biology
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    • 제19권2호
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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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CRT 표시장치에서 두 형태의 크기-내삽 추정 방법의 비교 연구 : 상사자극-계수 반응과 계수 자극-상사반응 (Comparison of Two Methods for Size-interpolation on CRT Display : Analog Stimulus-Digital Response Vs. Digital Stimulus-Analog Response)

  • 노재호
    • 산업기술연구
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    • 제14권
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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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수도직파재배에서 토양의 물리성 변화가 용수량과 생육 수량에 미치는 영향에 관한 연구 (A Study on the Variation of Soil Physical Properties on the water requirement, growth, and yield in the direct Sowing culture of rice)

  • 김철수;김시원
    • 물과 미래
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    • 제10권2호
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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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The effects of growth medium and partial shade on early growth of milkweed (Calotropis procera L.) under drought stress

  • Taghvaei, Mansour;Kordestani, Mojtaba Dolat
    • Journal of Ecology and Environment
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    • 제35권4호
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    • pp.343-349
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    • 2012
  • The use of growth medium is often recommended milkweed seedlings to grow and develop after emergence, and it is affected by growth medium and local habitat conditions. The effects of growth medium and partial shade on early growth of milkweed under drought stress (Calotropis procera L.) were studied in a field experiment. A split-split plot experimental design with three replications was carried out in the nursery. The main treatment plot was divided into two levels of shade; (no shading and partial shading). Sub treatment plot1 included growth medium at four levels (G1 = clay [suitable for milkweed growth], G2 = clay + sand, G3 = clay + perlite, G4 = clay + perlite + sand) and sub treatment plot2 included drought (irrigation intervals) at six levels (D1 = 2 [control], D2 = 4, D3 = 6, D4 = 8, D5 = 10, and D6 = 12 days per for three month). The results showed that drought stress significantly decreased emergence percentage, shoot length, shoot dry weight (SDW1), root dry weight (RDW), seedling dry weight (SDW2) and vigor index (VI). The use of growth medium increased all seedling characteristics. The G3 (clay + perlite) growth medium showed the highest performance, especially in terms of emergence percentage and seedling dry weight. Partial shade improved shoot length, shoot dry weight, and vigor index. Our results showed that the best treatment for high-vigor milkweed seedlings under drought stress was G3 (clay + perlite) growth medium and partial shade.

두 개의 처리 비교를 위한 실용적인 실험 계획 전략과 분석 (Practical Experimental Design Strategy and Analysis for the Comparison of Two Treatments)

  • 임용빈
    • 품질경영학회지
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    • 제33권3호
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    • pp.156-160
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    • 2005
  • 기존의 표준공법과 신공법간의 품질특성치의 평균에 차이가 있는지를 알아보기 위한 가장 실용적인 실험 설계는 표준공법으로 진행되고 있는 공정을 신공법으로 바꾼 후에 연속적으로 생산해서 실험 자료를 얻는 것이다. 이 실험 자료로부터 평균 수율의 차이가 있는 지를 검정하기 위해서는 표준공법으로 연속해서 생산된 제품들의 수율에 관한 정보를 추가적으로 필요로 한다. 표준공법으로 연속해서 생산된 제품들의 수율에 관한 충분한 최근의 자료가 없으면 분할법에 의한 실험설계가 실용적인 설계이다. 분할법 I은 각 단계의 실험을 축차적으로도 실시할 수 있다는 장점이 있다. 단계 1에서는 표준공법과 신공법의 실시순서를 랜덤하게 정한다. 그다음에 정해진 방법에 따라서 연속해서 실험을 r회 실시한다. 단계 2,..., rep에서도 동일한 방법으로 실험을 실시한다. 분할법 II는 모든 실험을 한번에 실시하는 설계로, 두 개의 공정조건의 변경이 제한적으로 가능하다면 먼저 rep개의 반복을 갖는 각 공법을 2*rep개의 일차단위에 랜덤하게 배치하고, 일차단위에 랜덤하게 배치된 공정조건을 고정시키고 실험을 r회 반복한다. 분할법에서 일반적으로 공정조건을 변경하는데 비용과 시간이 많이 들어서 rep를 적게 하는 효율적인 실험의 반복수 ${\gamma}^*$을 결정하는 것이 엔지니어들의 관심사항이다. 분할법 I이나 분할법 II에서의 효율적인 실험의 반복수는 ${\gamma}^*$=6이고, 차선책은 ${\gamma}^*$=4이다.

황색종 연초(Nicotiana tabacum L.)에서 엽탈락의 품종간 차이 (Varietal Difference of Leaf Breakdown in Field of Flue-Cured Tobacco (Nicotiana tabacum L.))

  • 조수헌
    • 한국연초학회지
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    • 제10권2호
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    • pp.93-98
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    • 1988
  • This study was conducted to obtain basic information for varietal difference of leaf breakdown in field of flue-cured tobacco at Taegu Experiment Station, Korea Ginseng & Tobacco Research Institute in 1987. The experiment was designed in randomized block with 3 replications, data ware analysed as Split split-plot design. Main plots were varieties, sub-plots were leaf positions, 4, 5 and 6th from bottom, and each sub-plot was divided into 3 parts with distance of midrib, 7 10 and 13em from stalk. Four varieties, NC 95, NC 2326, NC 82 and BY 4 were transplanted in 15 April, and measured the weight of leaf breakdown by artificially weighted in 5 June. The results obtained are as follows : 1. Weights of leaf breakdown according to leaf position, NC 95 were lower as 358-5799 than those of other varieties as 555-597g, were not significantly different regardless of varieties. 2. Weights of leaf breakdown in relation to distance of midrib from stack, NC 95 were lower as 309-419g than those of other varieties as 472-710g. 3. Weights of leaf breakdown were significantly different according to distance of midrib from stalk, and not significantly different according to leaf position under the same distance of midrib from stalk regardless of varieties.

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인산시용 및 예취관리가 알팔파의 질소고정과 사료가치에 미치는 영향 (Effect of Phosphate Fertilization and Cutting Management on Nitrogen Fixation and Feeding Value of Alfalfa ( Medicago sativa L. ))

  • 이효원;김창호
    • 한국초지조사료학회지
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    • 제17권4호
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    • pp.371-378
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    • 1997
  • The purpose of this research was to investigate the effect of P fertilization and cutting fkquency without N fertilizer on nutritive value and nitrogen fixation activity of alfalfa. A field experiment was conducted on the experimental farm of Kongju National University at Yesan from 1994 to 1996. The experimental design was a split plot design with two P levels as main plot and two cutting frequencies as the sub-plot. The results obtained are summarized as follows. Available phosphate, exchangeable Ca and Na in the soil were slightly increased with P fertilizer and basal treatment of lime. Average DM yield was 1.5 ton and 1.4 ton in second and third year. There was no significant difference within P level and cutting kquency. The first cut showed higest CP value as cutting times increased the value tend to be lowered. Crude protein content in 3 and 4 cutting regimes were from 16.3 to 16.6% 17.4 to 17.9% respectively, but no significant effect were found among the main and sub-plot. ADF and NDF in 1995 were ranged from 38.2 to 39.9, 45.1 to 58.1% respectively. ADF was 2% more higher in 1996 compared to previous year and NDF was slightly higher in 1996. There was significant difference of ADF between main plot in 1995. .P, Ca, K and Mg of 200kg P level with 3 times cutting treatment in 1995 and 1996 were 0.32 and 0.23, 0.95 and 0.84, 3.24 and 2.87, and 0.36 and 0.26. Significant difference of K and Mg between cutting frequency was observed in 1995. Nitrogen fixing activity of 400kg P fertilizer plots were higher than 200kg P level and 3 times cutting plot also showed higher acetylene reduction activity than that of 4 cutting per year. Phosphate level and cutting frequency treatment of did not significantly affect nitrogen fixation activity.

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잔디깍기와 TIBA 처리가 잔디 인공군락의 물질생산에 미치는 영향 (Effects of Mowing and TIBA(Triiodobenzoic acid) on Dry Matter Production of Cultivated Zoysia japonica Community)

  • 진희성
    • Journal of Plant Biology
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    • 제30권2호
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    • pp.135-149
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    • 1987
  • An experiment was made in order to analyze the growth characteristics and productivity of Zoysia japonica under control, mowing and TIBA treatment conditions at the experimental farm of Kyung Hee University. The field was planned by the split plot design method and each treatment was given to two plots (40$\times$40 and 100$\times$100 mm) and was replicated three times. Each plot was 9$m^2$ for Zoysia japonica. The sampling of each plot was taken once a week after sowing. In order to know the dry matter of total standing crops, each organ of plants was kept at 9$0^{\circ}C$ and weighed. Total leaf area of a plant was measured by drawing method. The author adopted the growth analysis of English School. Holocellulose analysis by sodium chlorite method was made. The increasing rate of LAI was high in all plots between 10th and 12th week after sowing and high growth rate of assimilatory organ was observed in low density area of TIBA plot. Between 10th and 12th week after sowing all the experimental plots showed high increasing rate of standing crop and in the process of growth each density area of TIBA plot recorded high increasing rate. In all the plots F/C ratio and RGR were high when the growth rate of assimilatory organ was increasing cosiderably, and the higher the planting density was, the higher F/C ratio was recorded. In all the plots NAR recorded maximum rate before the growth period to show a high increase of RGR. In the process of the growth TIBA plot showed high icnreasing rate of NAR. CGR showed high value in high density areas of all the plots and reached its maximum in the 13th week after sowing. Compared to the other experimental areas the low planting density areas of control plot and TIBA plot showed considerable earlier lignification indicating low Holocellulose content in the growth process.

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Robustness for Omnibus Tests using Trimmed Means under Violated Assumptions

  • Hyunchul Kim
    • Communications for Statistical Applications and Methods
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    • 제4권2호
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    • pp.581-588
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    • 1997
  • Univariate F test is based on the multisample sphericity assumption. Robustness for tests of a main effect of the within-subjects factor was investigated when the assumptions of the onmibus F tests are violated in a split-plot design with one between-subjects factor using untrimmed data and trimmed data. The results indicate that when sample sizes are unbalanced and dispersion matrices are heterogeneous, the CIGA and the $CIGA_T$ tests better control Type I error rates than do the $F_T$test and the$\widetilde{\xi_T}$test.

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