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1

Harshman, Richard A., and Margaret E. Lundy. "PARAFAC: Parallel factor analysis." Computational Statistics & Data Analysis 18, no. 1 (1994): 39–72. http://dx.doi.org/10.1016/0167-9473(94)90132-5.

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2

Reed, Scott M., My-Trinh Do, and Susan E. Masta. "Parallel factor analysis of spider fluorophores." Journal of Photochemistry and Photobiology B: Biology 93, no. 3 (2008): 149–54. http://dx.doi.org/10.1016/j.jphotobiol.2008.07.014.

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3

Vega-Montoto, Lorenzo, and Peter D. Wentzell. "Maximum likelihood parallel factor analysis (MLPARAFAC)." Journal of Chemometrics 17, no. 4 (2003): 237–53. http://dx.doi.org/10.1002/cem.789.

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4

Dinno, Alexis. "Implementing Horn's Parallel Analysis for Principal Component Analysis and Factor Analysis." Stata Journal: Promoting communications on statistics and Stata 9, no. 2 (2009): 291–98. http://dx.doi.org/10.1177/1536867x0900900207.

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I present paran, an implementation of Horn's parallel analysis criteria for factor or component retention in common factor analysis or principal component analysis in Stata. The command permits classical parallel analysis and more recent extensions to it for the pca and factor commands. paran provides a needed extension to Stata's built-in factor- and component-retention criteria.
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5

Hayton, James C., David G. Allen, and Vida Scarpello. "Factor Retention Decisions in Exploratory Factor Analysis: a Tutorial on Parallel Analysis." Organizational Research Methods 7, no. 2 (2004): 191–205. http://dx.doi.org/10.1177/1094428104263675.

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6

Sidiropoulos, N. D., R. Bro, and G. B. Giannakis. "Parallel factor analysis in sensor array processing." IEEE Transactions on Signal Processing 48, no. 8 (2000): 2377–88. http://dx.doi.org/10.1109/78.852018.

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7

Dramićanin, Tatjana, Ivana Zeković, Jovana Periša, and Miroslav D. Dramićanin. "The Parallel Factor Analysis of Beer Fluorescence." Journal of Fluorescence 29, no. 5 (2019): 1103–11. http://dx.doi.org/10.1007/s10895-019-02421-0.

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8

Abdollahi, H., and S. M. Sajjadi. "On rotational ambiguity in parallel factor analysis." Chemometrics and Intelligent Laboratory Systems 103, no. 2 (2010): 144–51. http://dx.doi.org/10.1016/j.chemolab.2010.06.010.

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9

Boyanov, Petar. "IMPLEMENTATION OF FACTOR ANALYSIS IN THE OPTICAL MANIFACTURING." Journal Scientific and Applied Research 8, no. 1 (2015): 16–20. http://dx.doi.org/10.46687/jsar.v8i1.173.

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A model of factor analysis is developed in the process of designing of complex optical systems. Factor analysis is indispensable in designing of photometric and spectrophotometric optical-electronic devices which consist of entrance-scanning system by space, lens with inner focusing, collimator objective which ensure the entering of a parallel bundle of rays over a dispersing diffraction grate over a wave length, a chamber lens and respectively, a sensor. These and similar optical systems require higher degree of elimination of chromatic aberration, etc. which ensures good quality of the optic
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10

Beltrán, J. L., J. Guiteras, and R. Ferrer. "Parallel factor analysis of partially resolved chromatographic data." Journal of Chromatography A 802, no. 2 (1998): 263–75. http://dx.doi.org/10.1016/s0021-9673(97)01160-6.

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11

Zhang, Wen Na, Guo Jun Qin, and Niao Qing Hu. "Parallel Factor Analysis for Gas Sensor Array Signals." Applied Mechanics and Materials 494-495 (February 2014): 955–59. http://dx.doi.org/10.4028/www.scientific.net/amm.494-495.955.

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Data from sensor array are often arranged in three-dimension as sample × time × sensor. Traditional methods are mainly used for two-dimension data. When such methods are applied, some time-profile information will lost. To acquire the information of samples, sensors and times more exactly, parallel factor analysis (PARAFAC) is investigated to deal with three-way data array. Through the analysis and classification of three kinds of oil odor samples, the performance of PARAFAC in gas sensor array signal analysis is verified and validated.
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12

Iacobucci, Dawn, Ayalla Ruvio, Sergio Román, Sangkil Moon, and Paul M. Herr. "How many factors in factor analysis? New insights about parallel analysis with confidence intervals." Journal of Business Research 139 (February 2022): 1026–43. http://dx.doi.org/10.1016/j.jbusres.2021.09.015.

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13

Vanderperren, Katrien, Bogdan Mijović, Nikolay Novitskiy, et al. "Single trial ERP reading based on parallel factor analysis." Psychophysiology 50, no. 1 (2012): 97–110. http://dx.doi.org/10.1111/j.1469-8986.2012.01405.x.

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14

Watson, Nathanial E., W. Christopher Siegler, Jamin C. Hoggard, and Robert E. Synovec. "Comprehensive Three-Dimensional Gas Chromatography with Parallel Factor Analysis." Analytical Chemistry 79, no. 21 (2007): 8270–80. http://dx.doi.org/10.1021/ac070829x.

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15

De Vos, Maarten, Dimitri Nion, Sabine Van Huffel, and Lieven De Lathauwer. "A combination of parallel factor and independent component analysis." Signal Processing 92, no. 12 (2012): 2990–99. http://dx.doi.org/10.1016/j.sigpro.2012.05.032.

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16

Engelen, Sanne, and Mia Hubert. "Detecting outlying samples in a parallel factor analysis model." Analytica Chimica Acta 705, no. 1-2 (2011): 155–65. http://dx.doi.org/10.1016/j.aca.2011.04.043.

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17

Abdollahi, Hamid, and S. Maryam Sajjadi. "Evaluation of variation matrix arrays by parallel factor analysis." Journal of Chemometrics 23, no. 3 (2009): 139–48. http://dx.doi.org/10.1002/cem.1210.

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18

Stoyanov, Stiliyan, and Garo Mardirossian. "FACTOR ANALYSIS IN THE PROCESS OF DESIGNING COMPLEX OPTICAL SYSTEMS." Journal Scientific and Applied Research 18, no. 1 (2020): 17–22. http://dx.doi.org/10.46687/jsar.v18i1.275.

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A model of factor analysis is developed in the process of designing complex optical systems. The factor analysis is very necessary when designing photometric and spectrophotometric optical-electronic devices which consist of entrance-scanning system by space, lens with inner focusing, collimator objective which ensure the entering of a parallel shaft of rays over a dispersing diffraction grate over a wave length, chamber lens and respectively a sensor. These and similar optical systems require a higher degree of elimination of the chromatic aberration, etc. which ensures a good quality of the
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19

Jiang, Fang, Hong Sheng Ding, Tie Fu, and Zhong Hui Dong. "The Kinematic Influence Coefficient Analysis of a Parallel Stabilized Platform Testing System." Advanced Materials Research 308-310 (August 2011): 2120–26. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.2120.

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A testing system is constructed by connecting two parallel mechanisms in series to assess the performance of the 6-DOF parallel stabilized platform. In addition, a conception, the kinematic isolation factor, is proposed to describe the capability of the parallel stabilized platform and is combined with the kinematic influence coefficient method to form the first and second order influence coefficient matrixes as well as the velocity and acceleration expressions. The definition of the kinematic isolation factor simplifies the establishment of the kinematic equations, and the acceleration formul
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20

NAKANO, Kimihiko. "460 Analysis on lateral vibration of a beam using parallel factor analysis." Proceedings of the Dynamics & Design Conference 2008 (2008): _460–1_—_460–6_. http://dx.doi.org/10.1299/jsmedmc.2008._460-1_.

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21

Ponomarev, V. A., and Yu D. Kropotov. "Bayesian Parallel Factor Analysis for Studies of Event-Related Potentials." Neuroscience and Behavioral Physiology 51, no. 7 (2021): 882–92. http://dx.doi.org/10.1007/s11055-021-01147-6.

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22

Ponomarev, V. A., M. V. Pronina, and Yu D. Kropotov. "Parallel Factor Analysis in the Study of Event-Related Potentials." Human Physiology 45, no. 3 (2019): 233–41. http://dx.doi.org/10.1134/s0362119719030150.

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23

Chen, Dan, Yangyang Hu, Lizhe Wang, Albert Y. Zomaya, and Xiaoli Li. "H-PARAFAC: Hierarchical Parallel Factor Analysis of Multidimensional Big Data." IEEE Transactions on Parallel and Distributed Systems 28, no. 4 (2017): 1091–104. http://dx.doi.org/10.1109/tpds.2016.2613054.

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24

Wu, Yuntao, H. C. So, and Yunsong Tan. "Joint time-delay and frequency estimation using parallel factor analysis." Signal Processing 89, no. 8 (2009): 1667–70. http://dx.doi.org/10.1016/j.sigpro.2009.03.004.

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25

Moberg, Ludvig, George Robertsson, and Bo Karlberg. "Spectrofluorimetric determination of chlorophylls and pheopigments using parallel factor analysis." Talanta 54, no. 1 (2001): 161–70. http://dx.doi.org/10.1016/s0039-9140(00)00650-0.

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26

Omidikia, Nematollah, Hamid Abdollahi, and Mohsen Kompany-Zareh. "On uniqueness and selectivity in three-component parallel factor analysis." Analytica Chimica Acta 782 (June 2013): 12–20. http://dx.doi.org/10.1016/j.aca.2013.04.033.

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27

Sajjadi, S. M., and H. Abdollahi. "Hard-soft modeling parallel factor analysis to solve equilibrium processes." Journal of Chemometrics 25, no. 4 (2011): 169–82. http://dx.doi.org/10.1002/cem.1341.

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28

Vega-Montoto, Lorenzo, and Peter D. Wentzell. "Mathematical improvements to maximum likelihood parallel factor analysis: experimental studies." Journal of Chemometrics 19, no. 4 (2005): 236–52. http://dx.doi.org/10.1002/cem.924.

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29

George, Ronie, Michalis Michaelides, Molly A. Brewer, and Urs Utzinger. "Parallel factor analysis of ovarian autofluorescence as a cancer diagnostic." Lasers in Surgery and Medicine 44, no. 4 (2012): 282–95. http://dx.doi.org/10.1002/lsm.22014.

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30

Park, Chanjun, Midan Shim, Sugyeong Eo, et al. "Empirical Analysis of Parallel Corpora and In-Depth Analysis Using LIWC." Applied Sciences 12, no. 11 (2022): 5545. http://dx.doi.org/10.3390/app12115545.

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The machine translation system aims to translate source language into target language. Recent studies on MT systems mainly focus on neural machine translation. One factor that significantly affects the performance of NMT is the availability of high-quality parallel corpora. However, high-quality parallel corpora concerning Korean are relatively scarce compared to those associated with other high-resource languages, such as German or Italian. To address this problem, AI Hub recently released seven types of parallel corpora for Korean. In this study, we conduct an in-depth verification of the qu
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31

Guo, Jianing. "Analysis of Current Imbalance in Paralleled Silicon Carbide Power MOSFETs." Academic Journal of Science and Technology 3, no. 3 (2022): 247–54. http://dx.doi.org/10.54097/ajst.v3i3.2992.

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In order to adapt to the application scenarios of high power variable current, it is an effective solution to parallel multiple silicon carbide (SiC) power. However, the static parameters of SiC MOSFET devices are dispersed, the parasitic parameters of power loop are asymmetric, and the working junction temperature of the devices is different. All these factors will lead to non-uniform current stress between parallel devices.This article is based on the SiC MOSFET device provided in Wolfspeed,to explore the impact of circuit parameters mismatch on current sharing in parallel components. The in
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32

Gugiu, P. Cristian, Jane Case-Smith, Dennis Cleary, and Andrew Persch. "Latent Parallel Analysis and Ordinal Exploratory Factor Analysis of the Vocational Fit Assessment." American Journal of Occupational Therapy 69, Suppl. 1 (2015): 6911500106p1. http://dx.doi.org/10.5014/ajot.2015.69s1-po5092.

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33

Nilsson, Mathias, Adolfo Botana, and Gareth A. Morris. "T1-Diffusion-Ordered Spectroscopy: Nuclear Magnetic Resonance Mixture Analysis Using Parallel Factor Analysis." Analytical Chemistry 81, no. 19 (2009): 8119–25. http://dx.doi.org/10.1021/ac901321w.

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34

Yan, Ronghua, Jinye Peng, and Dongmei Ma. "Dimensionality reduction based on parallel factor analysis model and independent component analysis method." Journal of Applied Remote Sensing 13, no. 01 (2019): 1. http://dx.doi.org/10.1117/1.jrs.13.014532.

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35

Zhao, Wenbin, Lujuan Yu, Xuexia Zhang, Hailing Xie, and Zhixin Hu. "Analysis of Mode I Periodic Parallel Cracks-Tip Stress Field in an Infinite Orthotropic Plate." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/412172.

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The mechanical behavior near crack tip for periodic parallel cracks in an orthotropic composite plate subjected to the uniformly distributed load within the cracks surface is studied. The mechanical problem is turned into the boundary value problem of partial differential equation. By using the periodicity of the hyperbolic function in the complex domain and constructing proper Westergaard stress function, the periodicity of parallel cracks can be removed. Using the complex variable function method and the undetermined coefficients method, the boundary value problem of partial differential equ
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36

Abdelhamid, Gomaa Said Mohamed, María Dolores Hidalgo, Brian F. French, and Juana Gómez-Benito. "Partitioning dichotomous items using mokken scale analysis, exploratory graph analysis and parallel analysis: A monte carlo simulation." Methodology 20, no. 3 (2024): 187–217. http://dx.doi.org/10.5964/meth.12503.

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Estimating the number of latent factors underlying a set of dichotomous items is a major challenge in social and behavioral research. Mokken scale analysis (MSA) and exploratory graph analysis (EGA) are approaches for partitioning measures consisting of dichotomous items. In this study we perform simulation-based comparisons of two EGA methods (EGA with graphical least absolute shrinkage and selector operator; EGAtmfg with triangulated maximally filtered graph algorithm), two MSA methods (AISP: automated item selection procedure; GA: genetic algorithm), and two widely used factor analytic tech
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37

Stedmon, Colin A., and Rasmus Bro. "Characterizing dissolved organic matter fluorescence with parallel factor analysis: a tutorial." Limnology and Oceanography: Methods 6, no. 11 (2008): 572–79. http://dx.doi.org/10.4319/lom.2008.6.572.

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38

Stedmon, Colin A., and Rasmus Bro. "Characterizing dissolved organic matter fluorescence with parallel factor analysis: a tutorial." Limnology and Oceanography: Methods 6, no. 11 (2008): 572–79. http://dx.doi.org/10.4319/lom.2008.6.572b.

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39

Shirakawa, Hideki, and Shunichi Miyazaki. "Blind Spectral Decomposition of Single-Cell Fluorescence by Parallel Factor Analysis." Biophysical Journal 86, no. 3 (2004): 1739–52. http://dx.doi.org/10.1016/s0006-3495(04)74242-3.

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40

Jeong, Y. "Robust speaker adaptation based on parallel factor analysis of training models." Electronics Letters 47, no. 7 (2011): 465. http://dx.doi.org/10.1049/el.2011.0036.

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41

Vega-Montoto, Lorenzo, Hong Gu, and Peter D. Wentzell. "Mathematical improvements to maximum likelihood parallel factor analysis: theory and simulations." Journal of Chemometrics 19, no. 4 (2005): 216–35. http://dx.doi.org/10.1002/cem.926.

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42

Helwig, Nathaniel E., Sungjin Hong, and John D. Polk. "Parallel Factor Analysis of gait waveform data: A multimode extension of Principal Component Analysis." Human Movement Science 31, no. 3 (2012): 630–48. http://dx.doi.org/10.1016/j.humov.2011.06.011.

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43

Patil, Vivek H., Matthew Q. McPherson, and Daniel Friesner. "The Use of Exploratory Factor Analysis in Public Health: A Note on Parallel Analysis as a Factor Retention Criterion." American Journal of Health Promotion 24, no. 3 (2010): 178–81. http://dx.doi.org/10.4278/ajhp.08033131.

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44

Luo, Jian Guo, and Mao Yan He. "Error Analysis on Cartesian Serial-Parallel Manipulator with Redundant Drive." Applied Mechanics and Materials 602-605 (August 2014): 903–7. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.903.

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The serial-parallel robot can be resolved into the serial combination of two parallel robots. Each branch chain of the parallel robot is all a serial branch chain. By utilizing the kinematics equivalency and considering the influences on posture errors of the final moving platform affected by end errors of each branch, the synthetic analytical method based on dynamic and static factors was put forward. The main affection factor was presented and effectiveness verification has been carried out on the conclusion of study by the form of a living example.
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45

Hu, Linmin, Dequan Yue, and Dongmei Zhao. "Availability Equivalence Analysis of a Repairable Series-Parallel System." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/957537.

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This paper studies the availability equivalence of different designs of a repairable series-parallel system. Under the assumption that the system components have constant failure rates and repair rates, we derive the availability of the original and improved systems according to reduction, increase, hot duplication, warm duplication and cold duplication methods, respectively. The availability equivalence factor is introduced to compare different system designs. Two types of availability equivalence factors of the system are obtained. Numerical examples are provided to interpret how to utilize
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46

Lin, Heyun, Chaowei Yuan, Jianhe Du, and Zhongwei Hu. "Estimation of DOA for Noncircular Signals via Vandermonde Constrained Parallel Factor Analysis." International Journal of Antennas and Propagation 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/4612583.

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We provide a complete study on the direction-of-arrival (DOA) estimation of noncircular (NC) signals for uniform linear array (ULA) via Vandermonde constrained parallel factor (PARAFAC) analysis. By exploiting the noncircular property of the signals, we first construct an extended matrix which contains two times sampling number of the received signal. Then, taking the Vandermonde structure of the array manifold matrix into account, the extended matrix can be turned into a tensor model which admits the Vandermonde constrained PARAFAC decomposition. Based on this tensor model, an efficient linea
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47

Miwakeichi, Fumikazu, Eduardo Martı́nez-Montes, Pedro A. Valdés-Sosa, Nobuaki Nishiyama, Hiroaki Mizuhara, and Yoko Yamaguchi. "Decomposing EEG data into space–time–frequency components using Parallel Factor Analysis." NeuroImage 22, no. 3 (2004): 1035–45. http://dx.doi.org/10.1016/j.neuroimage.2004.03.039.

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48

Yue Rong, M. R. A. Khandaker, and Yong Xiang. "Channel Estimation of Dual-Hop MIMO Relay System via Parallel Factor Analysis." IEEE Transactions on Wireless Communications 11, no. 6 (2012): 2224–33. http://dx.doi.org/10.1109/twc.2012.032712.111251.

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49

Liang, JunLi, Ding Liu, and JunYing Zhang. "Joint frequency, 2-D DOA, and polarization estimation using parallel factor analysis." Science in China Series F: Information Sciences 52, no. 10 (2009): 1891–904. http://dx.doi.org/10.1007/s11432-009-0171-0.

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50

Yang, Liu, Jun Lv, and Yong Xiang. "Underdetermined Blind Source Separation by Parallel Factor Analysis in Time-Frequency Domain." Cognitive Computation 5, no. 2 (2012): 207–14. http://dx.doi.org/10.1007/s12559-012-9177-9.

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