Relevant bibliographies by topics / Latin square design

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Latin square design'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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Journal articles on the topic "Latin square design"

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EDMONDSON, R. N. "Trojan square and incomplete Trojan square designs for crop research." Journal of Agricultural Science 131, no. 2 (September 1998): 135–42. http://dx.doi.org/10.1017/s002185969800567x.

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Latin square and near-Latin square designs are valuable row-and-column designs for crop research but the practical size range of such designs is severely limited. Semi-Latin square designs extend this range but not all semi-Latin squares are suitable for experimental designs. Trojan square designs are a special class of optimal semi-Latin squares that generalizes the class of Latin square designs. The construction of Trojan squares both for unstructured and for factorial treatment sets is discussed and the utility of Trojan square designs for practical crop research is demonstrated. The corpus of available designs is further extended by a discussion of incomplete Trojan square designs obtained by omitting one main row or one main column from a complete Trojan square design. Some advantages of Trojan square and incomplete Trojan square designs for crop research are discussed and some suggestions for further design research are made.
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Verma, S. S., Y. K. Sharma, and G. Pichan. "An application of replicated latin square design in physiological research." Zeitschrift für Morphologie und Anthropologie 82, no. 2-3 (June 9, 1999): 241–47. http://dx.doi.org/10.1127/zma/82/1999/241.

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Rathod, Abhay B., and Sanjay M. Gulhane. "An Efficient Parallel Algorithm for Latin Square Design: A Multi Core CPU Approach." International Journal of System Modeling and Simulation 2, no. 2 (June 30, 2017): 27. http://dx.doi.org/10.24178/ijsms.2017.2.2.27.

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Abstract— The theory of Latin squares is very important tool in design theory. Like much of design theory, Latin squares have various applications in statistics, finite geometries and experimental design, to name a few. In this paper, we proposed an efficient parallel algorithm for Latin square design which have desirable properties for parallel array access. These squares provide conflict free access to various subsets of an n x n array using n memory modules. A transversal of such a square is a set of n entries such that no two entries share the same row, column or symbol. We present a general construction method for building parallel Latin square of order n2 for all n. The proposed algorithm presents a quick parallel method to produce a Latin square design and a parallel conflict access of data in SIMD system. The simulation results of the proposed parallel algorithm for Latin square design were compared with the traditional sequential algorithm Latin square design in terms of speedup and efficiency. The results of parallel Latin Square design were very promising and showed a potential that this design could successfully be applied to the parallel routing problems for conflict free data access. At last, the results show that the parallel versions of former sequential algorithm with simple modifications achieve the super linear speedup up to 200 times for matrix size of 256. Index Terms: Latin square, multi core processor, parallel processing, simulation, parallel memory system, skewing scheme, multistage interconnection network.
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Hodzic, D., A. Hodzic, and E. Bajramovic. "Latin square experiment design in R." IOP Conference Series: Materials Science and Engineering 477 (February 18, 2019): 012019. http://dx.doi.org/10.1088/1757-899x/477/1/012019.

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Dauran, N. S., A. B. Odeyale, and A. Shehu. "CONSTRUCTION AND ANALYSIS OF BALANCED INCOMPLETE SUDOKU SQUARE DESIGN." FUDMA JOURNAL OF SCIENCES 4, no. 2 (July 2, 2020): 290–99. http://dx.doi.org/10.33003/fjs-2020-0402-219.

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Sudoku squares have been widely used to design an experiment where each treatment occurs exactly once in each row, column or sub-block. For some experiments, the size of row (or column or sub-block) may be less than the number of treatments. Since not all the treatments can be compared within each block, a new class of designs called balanced incomplete Sudoku squares design (BISSD) is proposed. A general method for constructing BISSD is proposed by an intelligent selection of certain cells from a complete Latin square via orthogonal Sudoku designs. The relative efficiencies of a delete-one-transversal balance incomplete Latin Square (BILS) design with respect to Sudoku design are derived. In addition, linear model, numerical examples and procedure for the analysis of data for BISSD are proposed
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Ghosh, Rajib, Suyash Verma, Rahul Kumar, Sanoj Kumar, and Siya Ram. "Design of Hash Algorithm Using Latin Square." Procedia Computer Science 46 (2015): 759–65. http://dx.doi.org/10.1016/j.procs.2015.02.144.

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Christofides, Demetres, and Klas Markstrom. "Random Latin square graphs." Random Structures & Algorithms 41, no. 1 (December 31, 2011): 47–65. http://dx.doi.org/10.1002/rsa.20390.

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Niwas, Ram, and B. D. Mehta. "Latin Square Type Row-Column Designs." Calcutta Statistical Association Bulletin 47, no. 1-2 (March 1997): 107–10. http://dx.doi.org/10.1177/0008068319970108.

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A class of Row-Column Designs (RC-designs) in t + tl-1 (t = t1t2) treatments has been constructed by supplementing a latin square type RC-design in t-1 treatments arranged in t x t array with principal diagonal (left to right) blank and having each treatment once in each row and once in each column. The blank diagonal positions are supplemented by t1 new treatments each replicated t2 times. These designs are simple partially efficiency balanced Row-Column designs (SPEB-RC-designs) having two sets of treatments with different number of replications. These designs are very useful in agricultural experiments particularly in plant development programme where limited seed material is available for new strains or varieties (t1) as compared to standard or check varieties (t-1), already in existence.
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Lewis, James R. "Pairs of Latin Squares to Counterbalance Sequential Effects and Pairing of Conditions and Stimuli." Proceedings of the Human Factors Society Annual Meeting 33, no. 18 (October 1989): 1223–27. http://dx.doi.org/10.1177/154193128903301812.

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This paper discusses methods with which one can simultaneously counterbalance immediate sequential effects and pairing of conditions and stimuli in a within-subjects design using pairs of Latin squares. Within-subjects (repeated measures) experiments are common in human factors research. The designer of such an experiment must develop a scheme to ensure that the conditions and stimuli are not confounded, or randomly order stimuli and conditions. While randomization ensures balance in the long run, it is possible that a specific random sequence may not be acceptable. An alternative to randomization is to use Latin squares. The usual Latin square design ensures that each condition appears an equal number of times in each column of the square. Latin squares have been described which have the effect of counterbalancing immediate sequential effects. The objective of this work was to extend these earlier efforts by developing procedures for designing pairs of Latin squares which ensure complete counterbalancing of immediate sequential effects for both conditions and stimuli, and also ensure that conditions and stimuli are paired in the squares an equal number of times.
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Tsai, Jinn-Tsong, Jyh-Horng Chou, and Wen-Hsien Ho. "Improved Quantum-Inspired Evolutionary Algorithm for Engineering Design Optimization." Mathematical Problems in Engineering 2012 (2012): 1–27. http://dx.doi.org/10.1155/2012/836597.

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An improved quantum-inspired evolutionary algorithm is proposed for solving mixed discrete-continuous nonlinear problems in engineering design. The proposed Latin square quantum-inspired evolutionary algorithm (LSQEA) combines Latin squares and quantum-inspired genetic algorithm (QGA). The novel contribution of the proposed LSQEA is the use of a QGA to explore the optimal feasible region in macrospace and the use of a systematic reasoning mechanism of the Latin square to exploit the better solution in microspace. By combining the advantages of exploration and exploitation, the LSQEA provides higher computational efficiency and robustness compared to QGA and real-coded GA when solving global numerical optimization problems with continuous variables. Additionally, the proposed LSQEA approach effectively solves mixed discrete-continuous nonlinear design optimization problems in which the design variables are integers, discrete values, and continuous values. The computational experiments show that the proposed LSQEA approach obtains better results compared to existing methods reported in the literature.
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Dissertations / Theses on the topic "Latin square design"

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Steen, Ian Nicholas. "Application of a Latin square experimental design in health services research : estimation of the effects of setting clinical standards and performance review on the process and outcome of care in general practice." Thesis, University of Newcastle Upon Tyne, 1998. http://hdl.handle.net/10443/627.

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The North of England Study of Standards and Performance in General Practice was set up to investigate whether the setting of clinical standards was an effective way of improving clinical performance (North of England Study, 1991). Doctors from 60 training practices met in small groups to set standards of good clinical performance for five symptomatic conditions of childhood-acute cough; acute vomiting; itchy rash; bedwetting; and recurrent wheezy chest. Data on the process and outcome of care were collected both before and after standard setting process. Some of the baseline data was fed back to the doctors to enable them to evaluate their performance in the first phase of the study. The clinical standards and baseline data were disseminated to the small groups of doctors according to a Latin square design. By comparing responses obtained during the second phase of data collection (after standards had been set) with those obtained in the first, it was possible to estimate the effects of standard setting and other methods of performance review on what doctors did (the process of care) and on the resulting outcome of care for their patients. The general analytic approach adopted was to fit generalised linear models to try and explain the variation in the observed data. Within this general framework, methods were developed for coping with a wide range of statistical problems including: heteroscedasticity correlated binary responses loss of orthogonality arising because of the incompleteness of many of the data sets; and overdispersion. Abstract The setting of clinical standards was found to have influenced doctors' prescribing of drugs and was found to have had a beneficial influence on outcome of care for children suffering from recurrent wheezy chest. Implications for the design of future studies to evaluate this type of intervention in the health service are discussed.
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Gongora-Aldaz, José Antonio. "On the addition of further treatments to Latin Square designs." Thesis, University of Warwick, 1997. http://wrap.warwick.ac.uk/73127/.

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Statisticians have made use of Latin Squares for randomized trials in the design of comparative experiments since the 1920s. Through cross-disciplinary use of Group theory, Statistics and Computing Science the author looks at the applications of the Latin Square as row-column design for scientific comparative experiments. The writer presents his argument, based on likelihood theory, for an F-test on Latin Square designs. A distinction between the combinatorial object and the row-column design known as the Latin Square is explicitly presented for the first time. Using statistical properties together with the tools of group actions on sets of block designs, the author brings new evidence to bear on well known issues such as (i) non-existence of two mutually orthogonal Latin Squares of size six and (ii) enumeration and classification of combinatorial layouts obtainable from superimposing two and three symbols on Latin Squares of size six. The possibility for devising non-parametric computer-intensive permutation tests in statistical experiments designed under 2 or 3 blocking constraints seems to have been explored by the author over the candidate's research period - See Appendix V: Part 2 - for the first time. The discovery that a projective plane does not determine all FIZ-inequivalent complete sets of Mutually Orthogonal Latin Squares is proved by fully enumerating the possibilities for those of size p < 7. The discovery of thousands of representatives of a class of balanced superimpositions of four treatments on Latin Squares of size six through a systematic computer search is reported. These results were presented at the 16th British Combinatorial Conference 1997. Indications of openings for further research are given at the end of the manuscript.
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Lebon, Jérémy. "Towards multifidelity uncertainty quantification for multiobjective structural design." Phd thesis, Université de Technologie de Compiègne, 2013. http://tel.archives-ouvertes.fr/tel-01002392.

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This thesis aims at Multi-Objective Optimization under Uncertainty in structural design. We investigate Polynomial Chaos Expansion (PCE) surrogates which require extensive training sets. We then face two issues: high computational costs of an individual Finite Element simulation and its limited precision. From numerical point of view and in order to limit the computational expense of the PCE construction we particularly focus on sparse PCE schemes. We also develop a custom Latin Hypercube Sampling scheme taking into account the finite precision of the simulation. From the modeling point of view,we propose a multifidelity approach involving a hierarchy of models ranging from full scale simulations through reduced order physics up to response surfaces. Finally, we investigate multiobjective optimization of structures under uncertainty. We extend the PCE model of design objectives by taking into account the design variables. We illustrate our work with examples in sheet metal forming and optimal design of truss structures.
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Chen, Yen-Hung, and 陳彥宏. "The Relationship between Fractional Factorial Design and Latin Square Design." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/6zd38j.

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碩士
國立高雄師範大學
數學系
97
The generators $\{E=AD,F=BC\}$ and $\{G=AD,H=BE,J=CF\}$ is a case of $2^{6-2}$ and $2^{9-3}$ fractional factorial design, respectively. Transformed previous fractional factorial design as a Latin square is using the generators $\{E=AD,F=BC\}$ and $\{G=AD,H=BE,J=CF\}$, which is found by Copeland and Nelson (2000). We follow the way to find the fractional factorial designs whose generators can certainly transform to Latin squares with the size of $4\times4$ and $8\times8$ as many as we can. As soon as finding some Latin squares, we try to find orthogonal Latin squares. We search a method to find all orthogonal Latin squares in $4\times4$ and $8\times8$ even to $128\times128$. After searching the orthogonal Latin squares, we also show a method to transform these orthogonal Latin squares to a new fractional factorial design. We also search our optimal cases in $2^{8-4}$ and $2^{10-6}$ fractional factorial design by means of checking the corresponding generators in $4\times4$ Latin square. We use the word length pattern as a compared criterion to show a truth that the our fractional factorial design and fractional factorial design suggested by Montgomery are the same case of optimal fractional factorial designs. We will extend Copeland and Nelson's conclusion ( $2^{3k-k}$ fractional factorial design, $k \in \mathbb{N}$ and $k\geq 2$, corresponding to a $2^{k}\times2^{k}$ Latin square ) to our conclusion( $2^{a-b}$ fractional factorial design, $a-b=2k$, $3k \leq a \leq 2^{2k}-1$, $k\geq2$ and $a,k \in \mathbb{N}$, can be transformed to some $2^{k}\times2^{k}$ Latin squares )
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van, Bommel Christopher Martin. "An Asymptotic Existence Theory on Incomplete Mutually Orthogonal Latin Squares." Thesis, 2015. http://hdl.handle.net/1828/5930.

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An incomplete Latin square is a v x v array with an empty n x n subarray with every row and every column containing each symbol at most once and no row or column with an empty cell containing one of the last n symbols. A set of t incomplete mutually orthogonal Latin squares of order v and hole size n is a set of t incomplete Latin squares (containing the same empty subarray on the same set of symbols) with a natural extension to the condition of orthogonality. The existence of such sets have been previously explored only for small values of t. We determine an asymptotic result for the existence of t incomplete mutually orthogonal Latin squares for general t requiring large holes, which we develop from our results on incomplete pairwise balanced designs and incomplete group divisible designs.
Graduate
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Hsu, Chih-Yu, and 許志宇. "Using Latin Square Design To Evaluate Model Interpolation And Adaptation Based Emotional Speech Synthesis." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/63765139977588389542.

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碩士
國立中山大學
資訊工程學系研究所
100
In this thesis, we use a hidden Markov model which can use a small amount of corpus to synthesize speech with certain quality to implement speech synthesis system for Chinese. More, the emotional speech are synthesized by the flexibility of the parametric speech in this model. We conduct model interpolation and model adaptation to synthesize speech from neutral to particular emotion without target speaker’s emotional speech. In model adaptation, we use monophone-based Mahalanobis distance to select emotional models which are close to target speaker from pool of speakers, and estimate the interpolation weight to synthesize emotional speech. In model adaptation, we collect abundant of data training average voice models for each individual emotion. These models are adapted to specific emotional models of target speaker by CMLLR method. In addition, we design the Latin-square evaluation to reduce the systematic offset in the subjective tests, making results more credible and fair. We synthesize emotional speech include happiness, anger, sadness, and use Latin square design to evaluate performance in three part similarity, naturalness, and emotional expression respectively. According to result, we make a comprehensive comparison and conclusions of two method in emotional speech synthesis.
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Lin, Liu Chia, and 劉家麟. "Using Graceo-Latin Square Design to Investigate the Optimum Factor Level on the Match Index between Artifact and Computer Model：Exemplified by the Helmet." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/24053719420154690676.

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碩士
大葉大學
工業工程與科技管理學系
96
We use reverse engineering with MicroScribe G2 to measure the negative mould of human skull to build its computer model in Rhino. It is done with using special clay to take the negative mould of skull and then measured by the MicroScribe G2 to build the computer model. Later a rapid prototype(RP) of ABS material is created for the helmet which fits the human head. In order to understand which factors influence the match between computer model and its artifact, we use love_each_other, a wooden sculpture, as a sample and analyze the data with Graceo-Latin Square Design and Taguchi method. The experiment shows that the significant factors are operators, SVD number and repetitions of check points.
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Niezen, Joanna. "Pairwise Balanced Designs of Dimension Three." Thesis, 2013. http://hdl.handle.net/1828/5102.

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A linear space is a set of points and lines such that any pair of points lie on exactly one line together. This is equivalent to a pairwise balanced design PBD(v, K), where there are v points, lines are regarded as blocks, and K ⊆ Z≥2 denotes the set of allowed block sizes. The dimension of a linear space is the maximum integer d such that any set of d points is contained in a proper subspace. Specifically for K = {3, 4, 5}, we determine which values of v admit PBD(v,K) of dimension at least three for all but a short list of possible exceptions under 50. We also observe that dimension can be reduced via a substitution argument.
Graduate
0405
jniezen@uvic.ca
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Jui-Jung, Ho, and 何瑞榮. "The Relationship Between Fractional Factorial Designs and Mutually Orthogonal Latin Squares." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/96787254368226919867.

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碩士
國立高雄師範大學
數學教學碩士班
99
Using the generators {E=AD,F=BC} and {G=AD,H=BE,J=CF} is one way that we can construct a 2^{6-2} and 2^{9-3} fractional factorial design and transform it to a Latin square, respectively, which is shown by Copeland and Nelson (2000). Yen-Hung Chen (2009) shown that 2^{3n-n} fractional factorial design can be transformed to a 2^n\times2^n Latin square and found some orthogonal Latin squares for n=3, 4, 5, 6, and 7. The advantage is that the design need the same number of runs by using the orthogonal Latin squares when the number of factors in the 2^{3n-n} fractional factorial design increases. Following their idea, we will find a methodology using the primitive polynomial to construct p^n-1 p^{3n-n} fractional factorial designs and transform these designs to p^n-1 mutually orthogonal Latin squares of order p^n for any n\in \mathbb{N} and p a prime. Using these p^n-1 mutually orthogonal Latin squares, we have a (p^n)^{(p^n+1)-(p^n-1)} fractional factorial design and a p^{n(p^n+1)-n(p^n-1)} fractional factorial design. Moreover, we have several sets of p^n-1 mutually orthogonal Latin squares of order p^n.
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Niezen, Joanna. "Sarvate-beam group divisible designs and related multigraph decomposition problems." Thesis, 2020. http://hdl.handle.net/1828/12160.

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A design is a set of points, V, together with a set of subsets of V called blocks. A classic type of design is a balanced incomplete block design, where every pair of points occurs together in a block the same number of times. This ‘balanced’ condition can be replaced with other properties. An adesign is a design where instead every pair of points occurs a different number of times together in a block. The number of times a specified pair of points occurs together is called the pair frequency. Here, a special type of adesign is explored, called a Sarvate-Beam design, named after its founders D.G. Sarvate and W. Beam. In such an adesign, the pair frequencies cover an interval of consecutive integers. Specifically the existence of Sarvate-Beam group divisible designs are investigated. A group divisible design, in the usual sense, is a set of points and blocks where the points are partitioned into subsets called groups. Any pair of points contained in a group have pair frequency zero and pairs of points from different groups have pair frequency one. A Sarvate-Beam group divisible design, or SBGDD, is a group divisible design where instead the frequencies of pairs from different groups form a set of distinct nonnegative consecutive integers. The SBGDD is said to be uniform when the groups are of equal size. The main result of this dissertation is to completely settle the existence question for uniform SBGDDs with blocks of size three where the smallest pair frequency, called the starting frequency, is zero. Higher starting frequencies are also considered and settled for all positive integers except when the SBGDD is partitioned into eight groups where a few possible exceptions remain. A relationship between these designs and graph decompositions is developed and leads to some generalizations. The use of matrices and linear programming is also explored and give rise to related results.
Graduate
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Books on the topic "Latin square design"

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Stinson, Douglas R., and Jeffrey H. Dinitz, eds. Contemporary Design Theory: A Collection of Surveys. New York, USA: Wiley-Interscience, 1992.

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Gongora-Aldaz, J. A. On the addition of further treatments to Latin Square designs. [s.l.]: typescript, 1997.

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Lin, Nancy Pei-ching. A new approach to sample size determination of replicated Latin square designs and analysis of multiple comparison procedures. [Tʻai-pei shih: Ching sheng wen wu kung ying kung ssu, 1985.

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1952-, Dinitz Jeffrey H., and Stinson Douglas R. 1956-, eds. Contemporary design theory: A collection of surveys. New York: Wiley, 1992.

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Contemporary Design Theory: A Collection of Surveys (Wiley-Interscience Series in Discrete Mathematics and Optimization). Wiley-Interscience, 1992.

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Coulson, Frank T., and Robert G. Babcock, eds. The Oxford Handbook of Latin Palaeography. Oxford University Press, 2020. http://dx.doi.org/10.1093/oxfordhb/9780195336948.001.0001.

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The Oxford Handbook of Latin Palaeography provides a comprehensive overview of the development of Latin scripts from Antiquity to the Early Modern period, of codicology, and of the cultural setting of the mediaeval manuscript. The opening section, on Latin Palaeography, treats a full range of Latin book hands, beginning with Square and Rustic Capitals and finishing with Humanistic minuscule. The Handbook is groundbreaking in giving extensive treatment to such scripts as Old Roman Cursive, New Roman Cursive, and Visigothic. Each article is written by a leading expert in the field and is copiously illustrated with figures and plates. Examples of each script with full transcription of selected plates are frequently provided for the benefit of newcomers to the field. The second section, on Codicology, contains essays on the design and physical make-up of the manuscript book, and it includes as well articles in newly-created disciplines, such as comparative codicology. The third and final section, Manuscript Setting, places the mediaeval manuscript within its cultural and intellectual setting, with extended essays on the mediaeval library, particular genres and types of manuscript production, the book trade in antiquity and the Middle Ages, and manuscript cataloguing. All articles are in English. The Handbook will be an indispensable guide to all those working in the various fields concerned with the literary and cultural dynamics of book production in the Middle Ages and Early Modern period.
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Wilson, Robin. Combinatorics: A Very Short Introduction. Oxford University Press, 2016. http://dx.doi.org/10.1093/actrade/9780198723493.001.0001.

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Combinatorics is the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. Combinatorics: A Very Short Introduction provides an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to draw a map with different colours for neighbouring countries.
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Book chapters on the topic "Latin square design"

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Saville, David J., and Graham R. Wood. "Latin Square Design." In Springer Texts in Statistics, 340–53. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0971-3_13.

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Fischer, Gabriele, Annemarie Unger, W. Wolfgang Fleischhacker, Cécile Viollet, Jacques Epelbaum, Daniel Hoyer, Ina Weiner, et al. "Latin Square Design." In Encyclopedia of Psychopharmacology, 691. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-68706-1_836.

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Durner, Edward F. "The Latin square design." In Applied plant science experimental design and statistical analysis using the SAS® OnDemand for Academics, 192–203. Wallingford: CABI, 2021. http://dx.doi.org/10.1079/9781789249927.0013.

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Abstract This chapter focuses on Latin square design. The vegetative to floral transition of the apical meristem in main crowns of strawberry plants were investigated. Five treatments was considered: (1) a control; (2) long days (16 hours) at 25°C; (3) long days at 10°C; (4) short days (8 hours) at 25°C; and (5) short days at 10°C. Experiments were set-up as a Latin square dividing each day's work schedule into five segments, thus have five rows (days), five columns (time of day) and five treatments. Results indicates that there was not much variability associated with the day of the week or the time of day for dissection.
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Berger, Paul D., Robert E. Maurer, and Giovana B. Celli. "Designs with Three or More Factors: Latin-Square and Related Designs." In Experimental Design, 265–91. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64583-4_8.

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Tripathi, Sayan, Jhilam Jana, and Jaydeb Bhaumik. "Design of Power Efficient SEC Orthogonal Latin Square (OLS) Codes." In Proceedings of the International Conference on Computing and Communication Systems, 593–600. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4084-8_57.

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Del Vecchio, R. J. "Latin Squares and Their Derivatives." In Understanding Design of Experiments, 105–14. München: Carl Hanser Verlag GmbH & Co. KG, 2014. http://dx.doi.org/10.3139/9783446442474.018.

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Chorafas, Dimitris N. "Experimental Design and Latin Squares." In Springer Series in Reliability Engineering, 209–31. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2966-0_11.

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Bennett, Frank E., Beiliang Du, and Hantao Zhang. "Conjugate Orthogonal Diagonal Latin Squares with Missing Subsquares." In Designs 2002, 23–45. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4613-0245-2_2.

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Jungnickel, Dieter. "Latin Squares, their Geometries and their Groups. A Survey." In Coding Theory and Design Theory, 166–225. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4615-6654-0_13.

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Kiefer, J., and H. P. Wynn. "Optimum Balanced Block and Latin Square Designs for Correlated Observations." In Collected Papers III, 549–69. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4615-6660-1_36.

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Conference papers on the topic "Latin square design"

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Sirikasemsuk, Kittiwat. "A review on incomplete Latin square design of any order." In INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICoMEIA2016): Proceedings of the 2nd International Conference on Mathematics, Engineering and Industrial Applications 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4965142.

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Sirikasemsuk, Kittiwat. "One Missing Value Problem in Latin Square Design of Any Order: Regression Sum of Squares." In 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems (SCIS) and 17th International Symposium on Advanced Intelligent Systems (ISIS). IEEE, 2016. http://dx.doi.org/10.1109/scis-isis.2016.0041.

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Reviriego, Pedro, Shanshan Liu, Alfonso Sanchez-Macian, Liyi Xiao, and Juan Antonio Maestro. "Reduction of Parity Overhead in a Subset of Orthogonal Latin Square Codes." In 2020 XXXV Conference on Design of Circuits and Integrated Systems (DCIS). IEEE, 2020. http://dx.doi.org/10.1109/dcis51330.2020.9268637.

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Sirikasemsuk, Kittiwat, and Kanokwan Thachongthumla. "Estimated Parameters of 6 x 6 Latin Square Design Consisting of Two Missing Values." In the 2019 7th International Conference. New York, New York, USA: ACM Press, 2019. http://dx.doi.org/10.1145/3323771.3323773.

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Shi, Wei-dong, Hong-liang Wang, Ling Zhou, Ping-ping Zou, and Guo-tao Wang. "Optimization Design of New-Type Deep Well Pump Based on Latin Square Test and Numerical Simulation." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30189.

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In order to develop high efficiency and high head deep well pump of 150QJ20 type, a L18 (37) orthogonal experiment was performed with seven factors and three values including blades numbers, outlet angle, outlet width, etc.18 impellers were designed. The whole flow field of new-type two-stage deep well pump at the operating point for design was simulated by FLUENT using the standard model, SIMPLEC algorithm, second-order upwind scheme to solve, and analyze the independent of the number of the grid. 18 groups of the efficiency and head in design scheme were obtained. The effects of geometrical parameters on efficiency, head were researched using Latin square test method. The primary and secondary factors of the design parameters were acquired by way of variance analysis. According to the test result, an optimum program to further design was put forward. After manufactured and tested, the final optimal design model pump flow at rated efficiency of 66.59% point, single-stage head of 10.9m, match the motor as 5.5 kW, compared to the Chinese national standards (GB/T 2816-2002), which the rated flow point of the efficiency of 64% and matching motor 7.5 kW, the efficiency and head were significantly improved. The productions show good energy saving and material saving characters and can replace traditional pumps for deep well in the future, the comprehensive technical indicators achieve international advanced levels. The results would be instructive to the design of new-type deep well pump with the impeller head maximum approach.
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Yang, R. J., N. Wang, C. H. Tho, J. P. Bobineau, and B. P. Wang. "Metamodeling Development for Vehicle Frontal Impact Simulation." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/dac-21012.

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Abstract Response surface methods or metamodels are commonly used to approximate large engineering systems. This paper presents a new metric for evaluating a response surface method or a metamodeling technique. Five response surface methods are studied: Stepwise Regression, Moving Least Square, Kriging, Multiquadratic, and Adaptive and Interactive Modeling System. A real world frontal impact design problem is used as an example, which is a complex, highly nonlinear, transient, dynamic, large deformation finite element model. The optimal Latin Hypercube Sampling method is used to distribute the sampling points uniformly over the entire design space. The Root Mean Square Error is used as the error indicator to study the accuracy and convergence rate of the metamodels for this vehicle impact analysis. A hybrid approach/strategy for selecting the best metamodels of impact responses is proposed.
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Yang, R. J., L. Gu, L. Liaw, C. Gearhart, C. H. Tho, X. Liu, and B. P. Wang. "Approximations for Safety Optimization of Large Systems." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14245.

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Abstract This paper presents four approximation methods for the construction of safety related functions. These methods are: Enhanced Multivariate Adaptive Regression Splines, Stepwise Regression, Artificial Neural Network, and the Moving Least Square. The optimal Latin Hypercube Sampling method is used to distribute the sampling points uniformly over the entire design space. Four benchmark problems used in crash and occupant simulation are employed to investigate the accuracy of the approximate or surrogate models. An occupant safety optimization problem is solved using these four response surfaces. Based on numerical results, a best, applicable approximation strategy for safety optimization is proposed in the end.
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Ali, Muhammad Ansab, Tariq S. Khan, Saqib Salam, and Ebrahim Al Hajri. "Shape Optimization of Microchannels Using Surrogate Modelling." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87780.

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To minimize the computational and optimization time, a numerical simulation of 3D microchannel heat sink was performed using surrogate model to achieve the optimum shape. Latin hypercube sampling method was used to explore the design space and to construct the model. The accuracy of the model was evaluated using statistical methods like coefficient of multiple determinations and root mean square error. Thermal resistance and pressure drop being conflicting objective functions were selected to optimize the geometric parameters of the microchannel. Multi objective shape optimization of design was conducted using genetic algorithm and the optimum design solutions are presented in the Pareto front. The application of the surrogate methods has predicted the performance of the heat sink with the sufficient accuracy employing significantly lower computational resources.
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Li, Dong-guang, and Anthony Watson. "Global optimization for optical thin-film design using Latin Squares." In Optical Science, Engineering and Instrumentation '97, edited by Randolph L. Hall. SPIE, 1997. http://dx.doi.org/10.1117/12.279103.

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Filippou, Filippos, Georgios Keramidas, Michail Mavropoulos, and Dimitris Nikolos. "A novel fault tolerant cache architecture based on orthogonal latin squares theory." In 2018 Design, Automation & Test in Europe Conference & Exhibition (DATE). IEEE, 2018. http://dx.doi.org/10.23919/date.2018.8342236.

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