• Title/Summary/Keyword: double factorial

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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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    • v.19 no.4
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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
    • Journal of the Korean Mathematical Society
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    • v.48 no.3
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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.

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

  • Choi, Young Hun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.143-152
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    • 2017
  • Restriction of completely randomization within a block can be handled by a split plot factorial design splitted by several plots. $3{\times}3$ split plot factorial design with two fixed main factors and one fixed block shows that powers of the rank transformed statistic for testing whole plot factorial effect and split plot factorial effect are superior to those of the parametric statistic when existing effect size is small or the remaining effect size is relatively smaller than the testing factorial effect size. Powers of the rank transformed statistic show relatively high level for exponential and double exponential distributions, whereas powers of the parametric and rank transformed statistic maintain similar level for normal and uniform distributions. Powers of the parametric and rank transformed statistic with two fixed main factors and one random block are respectively lower than those with all fixed factors. Powers of the parametric andrank transformed statistic for testing split plot factorial effect with two fixed main factors and one random block are slightly lower than those for testing whole plot factorial effect, but powers of the rank transformed statistic show comparative advantage over those of the parametric statistic.

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

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.2
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    • pp.245-253
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    • 2011
  • Powers of rank transformed statistic for testing main effects and interaction effects for $2{\times}2$ factorial design in randomized complete block design are very superior to powers of parametric statistic without regard to the block size, composition method of effects and the type of population distributions such as exponential, double exponential, normal and uniform. $2{\times}2$ factorial design in RCBD increases error effects and decreases powers of parametric statistic which results in conservativeness. However powers of rank transformed statistic maintain relative preference. In general powers of rank transformed statistic show relative preference over those of parametric statistic with small block size and big effect size.

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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    • v.41 no.1
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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.

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

  • Choi, Young Hun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1195-1205
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    • 2014
  • Compared with single design, powers of rank transformed statistic for testing main and interaction effects for $2{\times}2$ factorial in $4{\times}4$ latin square design are rapidly increased as effect size and replication size are increased. In general powers of rank transformed statistic are superior without regard to the diversified effect composition and the type of error distributions as nontesting factors are few and effect size are small. Powers of rank transformed statistic show much higher level than those of parametric statistic in exponential and double exponential distributions. Further powers of rank transformed statistic are very similar with those of parametric statistic in normal and uniform distributions.

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

  • Kang, Chung-boo;Choi, Il-kwan;Son, Min-soo;Hur, Ju-hyeong;Kim, Chur-ho
    • Korean Journal of Veterinary Research
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    • v.32 no.3
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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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The Effect of Age and Clothing Cues on Impression Formation of Men Clothed in Suits (의복단서 및 착용자 연령이 인상형성에 미치는 영향 -남성 정장을 중심으로-)

  • 이은미;강혜원
    • Journal of the Korean Society of Clothing and Textiles
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    • v.18 no.2
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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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A study on the consumers' attitude toward before and after technique in cosmetic surgery advertisement by kind of surgery (시술 부위에 따른 성형외과의 비포 앤 애프터 광고에 대한 소비자 태도 연구)

  • Lee, Hyun Seon
    • Korean Journal of Human Ecology
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    • v.23 no.3
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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.

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

  • 유혜경
    • Journal of the Korean Society of Clothing and Textiles
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    • v.20 no.3
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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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