From: Applications of functional data analysis: A systematic review
Year | Field of study | Outcome of interest | FDA features | Reference | ||||
---|---|---|---|---|---|---|---|---|
Smoothing | Data reduction | Clustering | FLM | Forecasting | ||||
2010 | Biomechanics | Walking velocity on force platform | - | - | - | FRM | - | [36] |
Biomechanics | Kinematic gait data | Polynomial spline | FPCA | - | - | - | [37] | |
Biomedicine | Diffusion tensor imaging fiber images | Kernel | - | - | FRM | - | [38] | |
Biomedicine | Gene expression microarray data | Local polynomial | FPCA | FEM | - | - | [39] | |
Biomedicine | Spinal cord dorsal horn neurons | Locally weighted regression (LOESS) | - | K-Means | - | - | [40] | |
Demography | Age-specific mortality rates | Kernel | FPCA | - | - | - | [41] | |
Environment | Gas emissions | Kernel | - | - | - | - | [42] | |
Geophysics | Magnetometer | Kernel | FPCA | - | FRM | - | [43] | |
Medicine | Human growth | - | FPCA | - | - | - | [44] | |
Medicine | Age-specific breast cancer mortality rates | Penalized regression spline | FPCA | - | - | State space model | [45] | |
Medicine | Age-specific fall injury incidence rates | Penalized regression spline | FPCA | - | - | State space model | [23] | |
Medicine | Human vision | Wavelet | - | - | FANOVA | - | [46] | |
2009 | Biology | Temporal fertility trajectories of medfly | - | FPCA | - | FMANOVA | - | [47] |
Biomechanics | Kinematic gait data | - | - | - | FRM | - | [48] | |
Biomedicine | 3-Tesla magnetic resonance imaging data | - | FPCA | - | - | - | [49] | |
Biomedicine | Denaturing gradient gel electrophoresis data | B-spline | FPCA | HCA | - | - | [50] | |
Biomedicine | microRNA transfection time-series microarray expression images | B-spline | FPCA | - | - | - | [51] | |
Biomedicine | Paediatric diffusion tensor imaging images | B-spline | FPCA | - | - | - | [52] | |
Biomedicine | Positron emission tomography time course data | Local polynomial | FPCA | - | - | - | [53] | |
Meteorology | Clickstream web data (Hurricane Katrina) | B-spline | - | - | FANOVA | - | [54] | |
2008 | Biomechanics | Ankle dorsiflexion, knee flexion, Achilles tendon, calcaneal and leg abduction angles | Roughness penalty | FPCA | - | - | - | [55] |
Biomedicine | Colon carcinogenesis experiments | Regression splines | FPCA | - | - | - | [56] | |
Biomedicine | Diffusion tensor imaging fiber images | B-spline | FPCA | - | - | - | [52] | |
Biomedicine | Temporal gene expression profiles for the Drosophila life cycle | Smoothing spline | FPCA | - | FRM | - | [57] | |
Biomedicine | Time-course gene expression data | B-spline | - | SVM | - | - | [58] | |
Biomedicine | Time-course gene expression data | B-spline | FPCA | LDA, QDA KNN, SVM | - | - | [59] | |
Demography | Mortality, fertility and migration rates | Weighted penalized regression spline | FPCA | - | - | State space model | [60] | |
Ecology | Plankton monitoring data | Roughness penalty | FPCA | - | - | - | [61] | |
Environment | Diurnal ozone and NOx cycles for transportation emission control | Fourier | FPCA | HCA | - | - | [62] | |
Finance | Cash flow and transactions | Wavelet | FPCA | - | - | FAR | [63] | |
Finance | Price formation and online auctions | Polynomial spline | - | - | FRM | - | [64] | |
Linguistics | Speech production variability in fricatives of children and adults | B-spline | FPCA | - | - | - | [65] | |
Meteorology | Plasma biomarkers | Kernel | - | - | FRM | - | [66] | |
Psychology | Emotional responses of musical listeners | Cubic B-spline | - | - | FANOVA | - | [67] | |
2007 | Biology | Time-course gene expression yeast cell cycle | B-spline | FPCA | MBC | - | - | [68] |
Biomedicine | MRI images | B-spline | - | - | - | - | [69] | |
Demography | Mortality and fertility rate | Penalized regression spline | FPCA | - | - | State space model | [25] | |
Engineering | Radar waveforms | Kernel | - | HCA | - | - | [70] | |
Environment | Diurnal ozone/NOx cycles and transportation emissions | Fourier | - | - | FANOVA | - | [71] | |
Environment | Stratospheric ozone levels | Cubic spline | FPCA | - | - | - | [72] | |
Medicine | Age-specific breast cancer mortality rates | Weighted local quadratic | FPCA | - | - | State space model | [24] | |
Medicine | Women urinary hormone profiles at midlife | Cubic spline | FPCA | - | - | - | [73] | |
Medicine | Haemoglobin levels in renal anaemia | B-spline | - | - | - | - | [74] | |
Neurology | Joint coordination data in motor development | B-spline | FPCA | - | - | - | [75] | |
2006 | Biology | Time-course gene expression yeast cell cycle | B-spline | FPCA | FLR | - | - | [76] |
Behavioural | Male medfly calling behaviour | - | FPCA | - | - | - | [77] | |
Biomechanics | Kinematic gait data (knee flexion angle) | Cubic B-spline | FPCA | LDA | - | - | [78] | |
Biomechanics | Knee joint kinematics in the vertical jump | B-spline | FPCA | - | - | - | [79] | |
Biomechanics | Kinematic gait data (sit to stand movements) | B-spline | - | - | - | - | [80] | |
Ecology | Water quality trend data (nutrient and sediment) | Fourier | FPCA | HCA | FRM | - | [81] | |
IT | Software complexity measure | Smoothing spline | - | - | - | - | [82] | |
Linguistics | Tongue tip velocity | B-spline | - | - | - | - | [83] | |
Physiology | Blood lactate for running speed on a treadmill | Polynomial spline | FPCA | - | - | - | [84] | |
Psychology | Tension judgement in music | B-spline | - | - | - | - | [85] | |
2005 | Biology | Protein expression profiles | P-spline | FPCA | HCA | - | - | [86] |
Biomechanics | Joint angles describing the limb motion | Regression spline | FPCA | - | - | - | [87] | |
Biomedicine | Functional magnetic resonance imaging data from 1.5-Tesla Magnetom vision | B-spline | FPCA | - | - | - | [88] | |
Biomedicine | Functional magnetic resonance imaging data from 3.0Â T Allegra system- | B-spline | FPCA | - | - | - | [89] | |
Ecology | Smith McIntyre grab species | - | FPCA | HCA | - | - | [90] | |
Education | Trends in Mathematics and Science Achievement (TIMSS) score | Nonparametric spline | FPCA | CART,KNN | - | - | [91] | |
Finance | Cash flows in point of sale and ATM networks | Fourier | - | - | FANOVA | - | [92] | |
Linguistics | Speech movement records | Wavelets | - | - | - | - | [93] | |
Psychology | Tension judgement in music | B-spline | - | - | - | - | [94] | |
2004 | Chemistry | Molecular weight distributions | B-spline | - | - | FRM | - | [95] |
 | Medicine | Esophageal bolus flow | - | - | - | - | - | [96] |
 | Meteorology | Biomarkers | Cubic spline | FPCA | - | - | - | [97] |
 | Neurology | Automated atlas-based head size normalization | - | - | - | - | - | [98] |
 | Psychology | Musical emotions and tension | B-spline | - | - | - | - | [99] |
2003 | Biomechanics | Digitized images of hand drawing curves generated by subjects treated with various facial preparation | Fourier | FPCA | - | FANOVA | - | [100] |
Biomedicine | Longitudinal plasma folate data | Weighted local polynomial spline | FPCA | - | - | - | [101] | |
2002 | Agriculture | Lodging score for rice fields based on a digital overhead image | Fourier | - | - | FRM | - | [102] |
Biomedicine | Myocardial contractile function images | Cubic B-spline | FPCA | - | - | - | [103] | |
Economics | Monthly nondurable goods production index | B-spline | - | - | - | - | [104] | |
Medicine | Foetal heart rate data | Fourier | - | - | FRM | - | [18] | |
Medicine | Foetal heart rate data | Fourier | - | - | FLRM | - | [19] | |
2001 | Satellite | Radar electromagnetic signals | Kernel | FPCA | - | Â | - | [105] |
2000 | Biomechanics | Handwriting in Chinese | B-spline | FPCA | EDO | - | - | [14] |
Linguistics | Harmonics-to-noise ratio of voice signals | B-spline | - | - | - | - | [106] | |
Meteorology | Annual cycle of sea surface temperatures | Polynomial spline | - | - | - | FAR | [107] | |
1999 | Linguistics | Harmonics-to-noise ratio of voice signals | - | - | - | - | - | [108] |
1998 | Ecology | Abundance of the gray-sided vole Clethrionomys rufocanus | Log-spline | FPCA | - | - | - | [109] |
1996 | Linguistics | Vocal tract lip motion during speech | Smoothing spline | FPCA | - | FANOVA | - | [110] |
1995 | Biomechanics | Records of the force exerted by pinching a force meter with the tips of the thumb and forefinger an opposite sides | - | FPCA | - | - | - | [111] |
 | Economics | Income distribution | - | FPCA | - | - | - | [112] |