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Journal articles on the topic 'Univariate and multivariate analysis'

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1

Huberty, Carl J., and John D. Morris. "Multivariate analysis versus multiple univariate analyses." Psychological Bulletin 105, no. 2 (1989): 302–8. http://dx.doi.org/10.1037/0033-2909.105.2.302.

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2

Ramasamy, Padma, Kalaivani Amitkumar, and Sundaresan Sivapatham. "Evaluation of Prognostic Factors in 198Buccal Mucosa Cancer Patients: Univariate and Multivariate Analysis." Indian Journal of Pathology: Research and Practice 6, no. 4 (Part-2) (2017): 1061–66. http://dx.doi.org/10.21088/ijprp.2278.148x.6417.40.

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3

Flury, Bernhard K., and Hans Riedwyl. "Standard Distance in Univariate and Multivariate Analysis." American Statistician 40, no. 3 (August 1986): 249. http://dx.doi.org/10.2307/2684560.

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4

Hillmer, Steven C., and William W. S. Wei. "Time Series Analysis: Univariate and Multivariate Methods." Journal of the American Statistical Association 86, no. 413 (March 1991): 245. http://dx.doi.org/10.2307/2289741.

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5

Flury, Bernhard K., and Hans Riedwyl. "Standard Distance in Univariate and Multivariate Analysis." American Statistician 40, no. 3 (August 1986): 249–51. http://dx.doi.org/10.1080/00031305.1986.10475403.

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6

Chuang, Alice. "Time Series Analysis: Univariate and Multivariate Methods." Technometrics 33, no. 1 (February 1991): 108–9. http://dx.doi.org/10.1080/00401706.1991.10484777.

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7

Eysenck, H. J. "Effects of smoking: Univariate or multivariate analysis?" Contemporary Psychology: A Journal of Reviews 38, no. 7 (July 1993): 759. http://dx.doi.org/10.1037/033567.

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8

Lai, T. H. "Time series analysis univariate and multivariate methods." International Journal of Forecasting 7, no. 3 (November 1991): 389–90. http://dx.doi.org/10.1016/0169-2070(91)90015-n.

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9

Roy, Dilip, and S. P. Mukherjee. "Multivariate Extensions of Univariate Life Distributions." Journal of Multivariate Analysis 67, no. 1 (October 1998): 72–79. http://dx.doi.org/10.1006/jmva.1998.1754.

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10

Jaffard, Stéphane, Stéphane Seuret, Herwig Wendt, Roberto Leonarduzzi, and Patrice Abry. "Multifractal formalisms for multivariate analysis." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2229 (September 2019): 20190150. http://dx.doi.org/10.1098/rspa.2019.0150.

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Multifractal analysis, that quantifies the fluctuations of regularities in time series or textures, has become a standard signal/image processing tool. It has been successfully used in a large variety of applicative contexts. Yet, successes are confined to the analysis of one signal or image at a time (univariate analysis). This is because multivariate (or joint) multifractal analysis remains so far rarely used in practice and has barely been studied theoretically. In view of the myriad of modern real-world applications that rely on the joint (multivariate) analysis of collections of signals or images, univariate analysis constitutes a major limitation. The goal of the present work is to theoretically ground multivariate multifractal analysis by studying the properties and limitations of the most natural extension of the univariate formalism to a multivariate formulation. It is notably shown that while performing well for a class of model processes, this natural extension is not valid in general. Based on the theoretical study of the mechanisms leading to failure, we propose alternative formulations and examine their mathematical properties.
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Mohammadi, Shapour. "Neural network for univariate and multivariate nonlinearity tests." Statistical Analysis and Data Mining: The ASA Data Science Journal 13, no. 1 (November 18, 2019): 50–70. http://dx.doi.org/10.1002/sam.11441.

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12

Hassmén, Peter. "Repeated-Measures Designs: Univariate or Multivariate Analysis of Variance?" Perceptual and Motor Skills 85, no. 1 (August 1997): 193–94. http://dx.doi.org/10.2466/pms.1997.85.1.193.

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Violation of the sphericity assumption in repeated-measures analysis of variance can lead to positively biased tests, i.e., the likelihood of a Type I error exceeds the alpha level set by the user. Two widely applicable solutions exist, the use of an epsilon-corrected univariate analysis of variance or the use of a multivariate analysis of variance. It is argued that the latter method offers advantages over the former.
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13

Guo, Xiaobo, Junxian Zhu, Qiao Fan, Mingguang He, Xueqin Wang, and Heping Zhang. "A univariate perspective of multivariate genome-wide association analysis." Genetic Epidemiology 42, no. 5 (May 21, 2018): 470–79. http://dx.doi.org/10.1002/gepi.22128.

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14

Dehkordi, Bijan Moghimi, Azadeh Safaee, Babak Noori Nayer, and Mohammad Reza Zali. "Survival in Gastric Cancer Patients: Univariate and Multivariate Analysis." American Journal of Gastroenterology 102 (September 2007): S165—S166. http://dx.doi.org/10.14309/00000434-200709002-00132.

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15

Saccenti, Edoardo, Huub C. J. Hoefsloot, Age K. Smilde, Johan A. Westerhuis, and Margriet M. W. B. Hendriks. "Reflections on univariate and multivariate analysis of metabolomics data." Metabolomics 10, no. 3 (October 26, 2013): 361–74. http://dx.doi.org/10.1007/s11306-013-0598-6.

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16

Saayman, Andrea, and Jacques de Klerk. "Forecasting tourist arrivals using multivariate singular spectrum analysis." Tourism Economics 25, no. 3 (May 2019): 330–54. http://dx.doi.org/10.1177/1354816618768318.

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The accurate forecasting of tourist arrivals has become a necessity for destination managers and tourism businesses. Singular spectrum analysis (SSA) has been applied in other areas, although its application in tourism demand is limited to SSA using a single univariate time series. New developments in the field extend the univariate framework into a multivariate SSA (MSSA). This article aims to forecast tourist arrivals from five continents to South Africa using MSSA and to compare the forecasting accuracy with that of univariate SSA as well as the baseline seasonal naïve model. The results show that in all but one case, MSSA leads to improved forecasting accuracy compared to univariate SSA and that these improvements are especially prevalent when forecasting over longer time horizons.
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17

Shao, Yongzhao, and Ming Zhou. "A characterization of multivariate normality through univariate projections." Journal of Multivariate Analysis 101, no. 10 (November 2010): 2637–40. http://dx.doi.org/10.1016/j.jmva.2010.04.015.

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18

Erkus-Duman, Esra. "Some new properties of univariate and multivariate Gottlieb polynomials." Miskolc Mathematical Notes 19, no. 2 (2018): 835–45. http://dx.doi.org/10.18514/mmn.2018.2188.

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19

Ren, Sijing, Lili Lei, Zhe-Min Tan, and Yi Zhang. "Multivariate Ensemble Sensitivity Analysis for Super Typhoon Haiyan (2013)." Monthly Weather Review 147, no. 9 (September 1, 2019): 3467–80. http://dx.doi.org/10.1175/mwr-d-19-0074.1.

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Abstract Ensemble sensitivity is often a diagonal approximation to the multivariate regression, leading to a simple univariate regression. Comparatively, the multivariate ensemble sensitivity retains the full covariance matrix when computing the multivariate regression. The performances of both univariate and multivariate ensemble sensitivities in multiscale flows have not been thoroughly examined, and the demonstration of the latter in realistic applications has been sparse. A high-resolution ensemble forecast of Typhoon Haiyan (2013) is used to examine the performances of the two ensemble sensitivities. Compared to the multivariate sensitivity, the univariate sensitivity overestimates the forecast metric, especially at higher levels. To increase the predicted Haiyan’s intensity, multivariate ensemble sensitivity gives initial perturbations characterized by a warming area around the center of the storm, an increased moisture area around the eyewall, a stronger primary circulation around the radius of maximum wind, and stronger inflow at low levels and stronger outflow at high levels. Perturbed initial condition experiments verify that the predicted response from the multivariate sensitivity is more accurate than that from the univariate sensitivity. Therefore, the ability of multivariate sensitivity to provide more accurate predicted responses than the univariate sensitivity has been demonstrated in a realistic multiscale flow application.
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20

Švec, I., M. Hrušková, and O. Jirsa. "Effects of wheat cultivar and harvest year on technological quality studied by univariate and multivariate analyses." Czech Journal of Food Sciences 25, No. 5 (January 7, 2008): 249–58. http://dx.doi.org/10.17221/681-cjfs.

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The effects of wheat cultivar and harvest year on the wheat technological quality were studied by univariate and multivariate statistical methods. Two wheat varieties sown in the harvest years 2003–2005 were used, the first one of European (cultivar Bezostaja, RUS), the second one of American origin (cultivar Jagger, USA). The evaluated parameter values indicated otherness of technological quality of the varieties studied, mostly in the milling effectivity and in proteins contents and quality. Principal component analysis (PCA) results suggested these differences, but their verifiability based on ANOVA testing was not proved. The harvest year mostly affected also the milling quality and alveograph parameters. The baking test results were not affected by either of both effects studied. The crop of 2003 had higher proximity to the crop of 2004 than to that of 2005. Multivariate analysis (cluster analysis; CA), was used to evaluate the interaction between the wheat cultivar and harvest year effects. In comparison of these effects rate, the technological quality of American cultivar Jagger was strongly influenced by the cultivar (with exception of Falling Number and gases volume). In contrast, the quality of the European wheat cultivar Bezostaja depended significantly on the harvest year.
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21

Williamson, John B., and S. K. Kachigan. "Statistical Analysis: An Interdisciplinary Introduction to Univariate and Multivariate Methods." Teaching Sociology 16, no. 2 (April 1988): 216. http://dx.doi.org/10.2307/1317431.

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22

Iacob, Razvan, Speranta Iacob, and Mircea Diculescu. "Predictive factors of spontaneous bacterial peritonitis: univariate and multivariate analysis." Journal of Hepatology 36 (April 2002): 54–55. http://dx.doi.org/10.1016/s0168-8278(02)80175-1.

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23

Fields, J. N., R. R. Kuske, C. A. Perez, B. B. Fineberg, and N. Bartlett. "Prognostic factors in inflammatory breast cancer. Univariate and multivariate analysis." Cancer 63, no. 6 (March 15, 1989): 1225–32. http://dx.doi.org/10.1002/1097-0142(19890315)63:6<1225::aid-cncr2820630632>3.0.co;2-5.

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24

Piccirillo, Jay F., Dennis Fuller, Colin Painter, and John M. Fredrickson. "Multivariate Analysis of Objective Vocal Function." Annals of Otology, Rhinology & Laryngology 107, no. 2 (February 1998): 107–12. http://dx.doi.org/10.1177/000348949810700205.

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No standard and valid multidimensional index of objective voice function has been developed that integrates the information generated from the multiple objective parameters of voice function. The goals of this research were 1) to identify important objective voice parameters and 2) to create a multidimensional voice function index by combining relevant parameters. We evaluated 97 dysphonic patients and 35 normal volunteers on 14 objective voice parameters. Three multidimensional voice indices were created and evaluated: 1) nonweighted univariate index, 2) weighted odds ratio index, and 3) weighted multivariate regression index. The univariate index required all 14 parameters, while the odds ratio and logistic regression models required only 4 parameters (frequency range, airflow at lips, maximum phonation time, and subglottic pressure). The χ2 values for the 3 models were 37.8, 37.6, and 46.0, respectively. All 3 indices were able to satisfactorily classify voice function as normal or abnormal. However, the regression index performed best.
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25

Resnick, Sidney. "On the foundations of multivariate heavy-tail analysis." Journal of Applied Probability 41, A (2004): 191–212. http://dx.doi.org/10.1017/s002190020011229x.

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Univariate heavy-tailed analysis rests on the analytic notion of regularly varying functions. For multivariate heavy-tailed analysis, reliance on functions is awkward because multivariate distribution functions are not natural objects for many purposes and are difficult to manipulate. An approach based on vague convergence of measures makes the differences between univariate and multivariate analysis evaporate. We survey the foundations of the subject and discuss statistical attempts to assess dependence of large values. An exploratory technique is applied to exchange rate return data and shows clear differences in the dependence structure of large values for the Japanese Yen versus German Mark compared with the French Franc versus the German Mark.
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26

Resnick, Sidney. "On the foundations of multivariate heavy-tail analysis." Journal of Applied Probability 41, A (2004): 191–212. http://dx.doi.org/10.1239/jap/1082552199.

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Univariate heavy-tailed analysis rests on the analytic notion of regularly varying functions. For multivariate heavy-tailed analysis, reliance on functions is awkward because multivariate distribution functions are not natural objects for many purposes and are difficult to manipulate. An approach based on vague convergence of measures makes the differences between univariate and multivariate analysis evaporate. We survey the foundations of the subject and discuss statistical attempts to assess dependence of large values. An exploratory technique is applied to exchange rate return data and shows clear differences in the dependence structure of large values for the Japanese Yen versus German Mark compared with the French Franc versus the German Mark.
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27

Brandão, L. P., C. P. F. Souza, V. M. Pereira, S. O. Silva, J. A. Santos-Serejo, C. A. S. Ledo, and E. P. Amorim. "Descriptor selection for banana accessions based on univariate and multivariate analysis." Genetics and Molecular Research 12, no. 2 (2013): 1603–20. http://dx.doi.org/10.4238/2013.may.14.1.

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28

Abdel-Ghany, Maha F., Omar Abdel-Aziz, Miriam F. Ayad, and Mariam M. Tadros. "Comparative Study Between Multivariate and Univariate Analysis of Two Antidiabetic Combinations." Journal of AOAC INTERNATIONAL 100, no. 5 (September 1, 2017): 1379–91. http://dx.doi.org/10.5740/jaoacint.16-0314.

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Abstract New multivariate and univariate methods were developed for the analysis of two novel gliptin combinations by manipulating the zero-order and ratio spectra of empagliflozin and linagliptin in combination, with application on Glyxambi® tablets, and of alogliptin and pioglitazone in combination, with application on Oseni® tablets. Linearity ranges for chemometric approaches using principal component regression and partial least-squares were found to be 2–10, 2.5–12.5, 5–15, and 5–25 μg/mL for empagliflozin, linagliptin, alogliptin, and pioglitazone, respectively, whereas the respective linearity ranges for the spectrophotometric approaches were found to be 5–15, 2–12, 5–15, and 5–15 μg/mL. The proposed spectrophotometric methods included ratio subtraction coupled withextended ratio subtraction, spectrum subtraction coupled with constant multiplication, and mean centering. Acceptable LOD and LOQ values were obtained by all methods. Statistical analysis showed no significant difference between multivariate and univariate methods in comparison with the reference methods. The optimized methods provide fast and economic determination of the recently approved antidiabetic combinations without the complex instrumentation or time-consuming mobile phase preparations that were used in the chromatographic techniques reported in the literature.
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29

Gaude, Edoardo, Francesca Chignola, Dimitrios Spiliotopoulos, Andrea Spitaleri, Michela Ghitti, Jose M Garcia-Manteiga, Silvia Mari, and Giovanna Musco. "muma, An R Package for Metabolomics Univariate and Multivariate Statistical Analysis." Current Metabolomics 1, no. 2 (March 1, 2013): 180–89. http://dx.doi.org/10.2174/2213235x11301020005.

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30

Moreno, Carmen, Ignacio Mancebo, Ana María Tarquis, and Marta María Moreno. "Univariate and multivariate analysis on processing tomato quality under different mulches." Scientia Agricola 71, no. 2 (April 2014): 114–19. http://dx.doi.org/10.1590/s0103-90162014000200004.

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31

Shao, Jianli, Qinghui Fu, and Mengya Wang. "Multivariate and Univariate Prognostic Analysis of Postoperative Patients with Gastric Cancer." American Surgeon 85, no. 4 (April 2019): 201–3. http://dx.doi.org/10.1177/000313481908500406.

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32

Liesenfeld, Roman, and Jean-François Richard. "Classical and Bayesian Analysis of Univariate and Multivariate Stochastic Volatility Models." Econometric Reviews 25, no. 2-3 (September 2006): 335–60. http://dx.doi.org/10.1080/07474930600713424.

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33

Massa, Marcelo, Nelson Ithiro Tanaka, Alberto Foltran Berti, Maria Tereza Silveira Böhme, and Isabel Coelho Mola Massa. "Univariate and Multivariate analysis in the classification of male volleyball athletes." Revista Paulista de Educação Física 13, no. 2 (December 20, 1999): 131. http://dx.doi.org/10.11606/issn.2594-5904.rpef.1999.137863.

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O objetivo deste tudo foi comparar a utilização de análises univariadas e multivariadas e suas eventuais diferenças na elaboração de um coeficiente de classificação que possa auxiliar no processo de treinamento a longo prazo e na seleção e promoção de talentos na modalidade esportiva voleibol. A partir dos resultados de testes e medidas cineantropométricas selecionadas de acordo com a especificidade do voleibol, obtidas em uma amostra composta por atletas de voleibol masculino participantes das categorias mirim, infantil, infanto-juvenil, juvenil e principal, foram construídos três coeficientes de classificação: a) coeficiente de classificação por médias (CCM); b) coeficiente utilizando o escore padrão Z (CEZ); e c) coeficiente utilizando análise de componentes principais (CP), que foram comparados com a classificação subjetiva dos próprios treinadores (CT) dos atletas participantes do estudo. Os resultados demonstraram que as análises multivariadas, principalmente o CCM, parecem se ajustar ao que é observado na prática pelos treinadores, oferecendo boas perspectivas para a sua aplicação em estudos futuros. A análise de CEZ também apresentou resultados semelhantes mas, por não considerar as relações existentes entre as variáveis, é mais restrita tomando-se limitada para a complexidade que envolve os processos de seleção e promoção de talentos
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34

Davis, J. Wade. "Handbook of Univariate and Multivariate Data Analysis and Interpretation with SPSS." American Statistician 62, no. 3 (August 2008): 268. http://dx.doi.org/10.1198/000313008x332287.

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35

Anderson, Marti J. "Permutation tests for univariate or multivariate analysis of variance and regression." Canadian Journal of Fisheries and Aquatic Sciences 58, no. 3 (March 1, 2001): 626–39. http://dx.doi.org/10.1139/f01-004.

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The most appropriate strategy to be used to create a permutation distribution for tests of individual terms in complex experimental designs is currently unclear. There are often many possibilities, including restricted permutation or permutation of some form of residuals. This paper provides a summary of recent empirical and theoretical results concerning available methods and gives recommendations for their use in univariate and multivariate applications. The focus of the paper is on complex designs in analysis of variance and multiple regression (i.e., linear models). The assumption of exchangeability required for a permutation test is assured by random allocation of treatments to units in experimental work. For observational data, exchangeability is tantamount to the assumption of independent and identically distributed errors under a null hypothesis. For partial regression, the method of permutation of residuals under a reduced model has been shown to provide the best test. For analysis of variance, one must first identify exchangeable units by considering expected mean squares. Then, one may generally produce either (i) an exact test by restricting permutations or (ii) an approximate test by permuting raw data or some form of residuals. The latter can provide a more powerful test in many situations.
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36

AIT AABD, Naima, Fouad MSANDA, and Abdelhamid EL MOUSADIK. "Univariate and Multivariate Analysis of Agronomical Traits of Preselected Argan Trees." Notulae Botanicae Horti Agrobotanici Cluj-Napoca 40, no. 2 (November 5, 2012): 308. http://dx.doi.org/10.15835/nbha4028209.

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A collection of thirty argan trees (Argania spinosa (L.) Skeels), representing the Aoulouz provenance in southwest of Morocco were used to study genetic variability and selection for three years. In this study, the genetic diversity of thirty genotypes (tree mothers) of argan (Argania spinosa) collected from Aoulouz was evaluated using agro-morphological characters. The main objective of the study was to assess and describe with multivariate analysis the genetic diversity in order to select good candidate trees for a future breeding program. The results obtained showed a large variation for all the traits examined. Analysis of variance using general linear model provided a significant variation between genotypes. Furthermore, genotypic and phenotypic variances for quantitative traits, particularly for seed length, seed width, almond length and oil content were higher. Phenotypic coefficient of variation was higher than genotypic coefficient of variation for all the characters. High heritability was recorded for oil content (97.90%), seed width (72.68%) and seed length (57.55%) respectively, indicating the additive gene action. In addition, a three dimensional plot based on principal coordinate analysis method was used to evaluate the performance genotypes as to the production of oil for three years. The genotypes ‘Ao-12R’, ‘Ao-7R’, ‘Ao-4R’, ‘Ao-4V’, ‘Ao-11R’, ‘Ao-8V’ and ‘Ao-7V’ were found to be the best for high oil content. Identification and selection with superior agronomic traits may be an effective method for genetic improvement of argan trees, and a first step for further breeding studies.
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37

Halverson, Karen J., Carlos A. Perez, Robert R. Kuske, Delia M. Garcia, Joseph R. Simpson, and Barbara Fineberg. "Survival following locoregional recurrence of breast cancer: Univariate and multivariate analysis." International Journal of Radiation Oncology*Biology*Physics 23, no. 2 (January 1992): 285–91. http://dx.doi.org/10.1016/0360-3016(92)90743-2.

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38

Keselman, H. J., Joanne C. Keselman, and Lisa M. Lix. "The analysis of repeated measurements: Univariate tests, multivariate tests, or both?" British Journal of Mathematical and Statistical Psychology 48, no. 2 (November 1995): 319–38. http://dx.doi.org/10.1111/j.2044-8317.1995.tb01066.x.

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39

Putcha, Venkata. "Handbook of Univariate and Multivariate Data Analysis and Interpretation with SPSS." Journal of the Royal Statistical Society: Series A (Statistics in Society) 171, no. 1 (January 10, 2008): 317. http://dx.doi.org/10.1111/j.1467-985x.2007.00521_10.x.

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40

Schmitz-Moormann, P., G. W. Himmelmann, U. Baum, and M. Nilles. "Morphological predictors of survival in colorectal carcinoma: Univariate and multivariate analysis." Journal of Cancer Research and Clinical Oncology 113, no. 6 (November 1987): 586–92. http://dx.doi.org/10.1007/bf00390871.

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41

Rodrigues, Paulo Canas, and Rahim Mahmoudvand. "The benefits of multivariate singular spectrum analysis over the univariate version." Journal of the Franklin Institute 355, no. 1 (January 2018): 544–64. http://dx.doi.org/10.1016/j.jfranklin.2017.09.008.

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42

Wu, Ting-Jung, Chun-Nan Yeh, Tzu-Chieh Chao, Yi-Yin Jan, and Miin-Fu Chen. "Prognostic Factors of Primary Small Bowel Adenocarcinoma: Univariate and Multivariate Analysis." World Journal of Surgery 30, no. 3 (February 7, 2006): 391–98. http://dx.doi.org/10.1007/s00268-005-7898-6.

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43

Rodríguez-Ruiz, Julieta G., Carlos Eric Galván-Tejada, Sodel Vázquez-Reyes, Jorge Issac Galván-Tejada, and Hamurabi Gamboa-Rosales. "Classification of Depressive Episodes Using Nighttime Data: Multivariate and Univariate Analysis." Proceedings of the Institute for System Programming of the RAS 33, no. 2 (2021): 115–24. http://dx.doi.org/10.15514/ispras-2021-33(2)-6.

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Mental disorders like depression represent 28% of global disability, it affects around 7.5% percent of global disability. Depression is a common disorder that affects the state of mind, normal activities, emotions, and produces sleep disorders. It is estimated that approximately 50% of depressive patients suffering from sleep disturbances. In this paper, a data mining process to classify depressive and not depressive episodes during nighttime is carried out based on a formal method of data mining called Knowledge Discovery in Databases (KDD). KDD guides the process of data mining with stages well established: Pre-KDD, Selection, Pre-processing, Transformation, Data Mining, Evaluation, and Post-KDD. The dataset used for the classification is the DEPRESJON dataset, which contains the motor activity of 23 unipolar and bipolar depressed patients and 32 healthy controls. The classification is carried out with two different approaches; a multivariate and univariate analysis to classify depressive and non-depressive episodes. For the multivariate analysis, the Random Forest algorithm is implemented with a model construct of 8 features, the results of the classification are specificity equal to 0.9927 and sensitivity equal to 0.9991. The univariate analysis shows that the maximum of the activity is the most descriptive characteristic of the model with 0.908 in accuracy for the classification of depressive episodes.
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44

Boik, Robert J. "Analysis of Repeated Measures Under Second-Stage Sphericity: An Empirical Bayes Approach." Journal of Educational and Behavioral Statistics 22, no. 2 (June 1997): 155–92. http://dx.doi.org/10.3102/10769986022002155.

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The conventional multivariate analysis of repeated measures is applicable in a wide variety of circumstances, in part, because assumptions regarding the pattern of covariances among the repeated measures are not required. If sample sizes are small, however, then the estimators of the covariance parameters lack precision and, as a result, the power of the multivariate analysis is low. If the covariance matrix associated with estimators of orthogonal contrasts is spherical, then the conventional univariate analysis of repeated measures is applicable and has greater power than the multivariate analysis. If sphericity is not satisfied, an adjusted univariate analysis can be conducted, and this adjusted analysis may still be more powerful than the multivariate analysis. As sample size increases, the power advantage of the adjusted univariate test decreases, and, for moderate sample sizes, the multivariate test can be more powerful. This article proposes a hybrid analysis that takes advantage of the strengths of each of the two procedures. The proposed analysis employs an empirical Bayes estimator of the covariance matrix. Existing software for conventional multivariate analyses can, with minor modifications, be used to perform the proposed analysis. The new analysis behaves like the univariate analysis when samples size is small or sphericity is nearly satisfied. When sample size is large or sphericity is strongly violated, then the proposed analysis behaves like the multivariate analysis. Simulation results suggest that the proposed analysis controls test size adequately and can be more powerful than either of the other two analyses under a wide range of non-null conditions.
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45

Ma, Junhai, and Lixia Liu. "Multivariate Nonlinear Analysis and Prediction of Shanghai Stock Market." Discrete Dynamics in Nature and Society 2008 (2008): 1–8. http://dx.doi.org/10.1155/2008/526734.

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This study attempts to characterize and predict stock returns series in Shanghai stock exchange using the concepts of nonlinear dynamical theory. Surrogate data method of multivariate time series shows that all the stock returns time series exhibit nonlinearity. Multivariate nonlinear prediction methods and univariate nonlinear prediction method, all of which use the concept of phase space reconstruction, are considered. The results indicate that multivariate nonlinear prediction model outperforms univariate nonlinear prediction model, local linear prediction method of multivariate time series outperforms local polynomial prediction method, and BP neural network method. Multivariate nonlinear prediction model is a useful tool for stock price prediction in emerging markets.
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46

Vexler, Albert. "Univariate likelihood projections and characterizations of the multivariate normal distribution." Journal of Multivariate Analysis 179 (September 2020): 104643. http://dx.doi.org/10.1016/j.jmva.2020.104643.

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47

de Boor, C. "Multivariate piecewise polynomials." Acta Numerica 2 (January 1993): 65–109. http://dx.doi.org/10.1017/s0962492900002348.

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This article was supposed to be on ‘multivariate splines». An informal survey, taken recently by asking various people in Approximation Theory what they consider to be a ‘multivariate spline’, resulted in the answer that a multivariate spline is a possibly smooth piecewise polynomial function of several arguments. In particular the potentially very useful thin-plate spline was thought to belong more to the subject of radial basis funtions than in the present article. This is all the more surprising to me since I am convinced that the variational approach to splines will play a much greater role in multivariate spline theory than it did or should have in the univariate theory. Still, as there is more than enough material for a survey of multivariate piecewise polynomials, this article is restricted to this topic, as is indicated by the (changed) title.
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48

Sugimachi, Keizo, Hiroshi Matsuura, Hidenobu Kai, Takashi Kanematsu, Kiyoshi Inokuchi, and Kenichi Jingu. "Prognostic factors of esophageal carcinoma: Univariate and multivariate analyses." Journal of Surgical Oncology 31, no. 2 (February 1986): 108–12. http://dx.doi.org/10.1002/jso.2930310207.

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49

Boyce, Eric G., Lisa A. Lawson, Gene A. Gibson, and Irving Nachamkin. "Comparison of Gentamicin Immunoassays Using Univariate and Multivariate Analyses." Therapeutic Drug Monitoring 11, no. 1 (January 1989): 97–104. http://dx.doi.org/10.1097/00007691-198901000-00020.

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50

Klein, Lawrence E., Robert P. Roca, Justin McArthur, Georgia Vogelsang, Gayle B. Klein, Susan M. Kirby, and Marshal Folstein. "Univariate and Multivariate Analyses of the Mental Status Examination." Journal of the American Geriatrics Society 33, no. 7 (July 1985): 483–88. http://dx.doi.org/10.1111/j.1532-5415.1985.tb05460.x.

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