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Matlab statistics and machine learning toolbox

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The MATLAB Statistics and Machine Learning Toolbox provides a comprehensive set of functions and tools for statistical and machine learning analysis. It includes algorithms for regression, classification, clustering, and dimension reduction, among others. The toolbox enables users to explore and understand data, develop predictive models, and make informed decisions based on statistical analysis.

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26 protocols using matlab statistics and machine learning toolbox

1

Statistical Analysis of Postoperative Outcomes

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Paired samples tests were carried out within MATLAB Statistics and Machine Learning Toolbox (MathWorks, USA) to test for significant changes following surgery. Where parametric assumptions were not met, a Wilcoxon signed rank test was used. A t-test was used to identify differences between the post-operative TKR and the NP group. Where parametric assumptions were not met, the Mann-Whitney test was used. A Bonferroni correction was used to adjust for multiple comparisons. All statistical inferences were calculated using the MATLAB Statistics and Machine Learning Toolbox (MathWorks, USA).
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2

Automated Thrombin Dynamics Analysis

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Thrombin dynamics analysis was performed in Matlab (R2016a, Mathworks, Eindhoven, the Netherlands) using the Matlab “Statistics and Machine Learning Tool Box” (version 10.2, Mathworks, Eindhoven), and theMatlab “Curve Fitting Toolbox” (version 3.5.3, Mathworks, Eindhoven, the Netherlands) and to ensure a high throughput computation of thrombin dynamics parameters. Analyses were performed on a HP probook (HP, Amstelveen, the Netherlands) equipped with a Microsoft Windows 10 pro operating system. The equations described in the sections above were implemented in an semi-automized data analysis script, which analyzes around 50 curves per minute.
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3

Directional Tuning of Reaction Times in Stroke

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Spearman’s correlation coefficients were used to compare clinical scores and RT parameters (corrected for age, sex, handedness and direction; see ‘Data analysis’). Significant difference between two groups of participants (e.g. individuals with RHD and LHD, and male and female) was performed by comparing the two distributions with a Kolmogorov–Smirnoff test. Some of our analyses were performed on circular data, and, as such, commonly used methods for determining correlations are not suitable. We used Rayleigh’s test38 ,39 to identify whether the observed RTs were unimodally ‘tuned’ across the eight spatial directions with slower RTs in one spatial direction and faster RTs in the opposite direction. Finally, we used the Watson–Williams test to determine whether the directional tuning was different between two sets of circular data (i.e. RT directional tuning for left and right arms across all individuals with stroke). The Watson–Williams test was only reported if the data passed the assumptions of the test. All statistical calculations were performed with MATLAB Statistics and Machine Learning Toolbox (Mathworks, R2018b) and the toolbox for circular statistics with MATLAB.39
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4

Multivariate Data Analysis Pipeline

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All analyses were conducted using the following software: IBM SPSS® Statistics for Windows (Armonk, NY: IBM Corp., version 27.0), MATLAB® statistics and machine learning toolbox (The Mathworks Inc., Natick, Massachusetts, USA, version R2022a), the freeware statistics program R (https://www.r-project.org) and RStudio (2009–2022 RStudio, PBC, version 2022.07.2 Build 576).
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5

Comparison of Heart Failure Subtypes

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We first compared general clinical characteristics of patients without HF, HFrEF, and HFpEF. We used chi-square tests for categorical variables and analysis of variance with post hoc pairwise comparisons with Bonferroni correction for continuous variables. We also compared measures of RA strain among the groups. The prognostic value of various parameters was assessed using Cox regression, to obtain hazard ratios (HRs) and 95% confidence intervals (CIs). Statistical significance was defined as a 2-tailed p value <0.05. All p values presented are 2-tailed. Statistical analyses were performed using the Matlab statistics and machine learning toolbox (Mathworks, Natwick, Massachusetts) and SPSS for Windows version 22 (IBM, Armonk, New York).
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6

Neuronal Recordings with Comprehensive Analysis

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Although statistical methods were not used to predetermine sample sizes, our sample sizes were similar to those used in previous studies13 (link),14 (link). All well-isolated neurons were included in the neuronal recordings to prevent sampling bias. Blinding was not performed for investigators involved in data collection and analysis. No data were excluded unless otherwise stated. All statistical procedures were assessed by two-tailed tests and carried out using MATLAB Statistics and Machine Learning Toolbox, Signal Processing Toolbox, Parallel Computing Toolbox, Control System Toolbox, and Multivariate Granger Causality Toolbox (version 2018b and 2020b; MathWorks Inc.).
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7

Heart Rate Control Design Evaluation

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Formal statistical analysis was carried out to test the hypotheses of this study, viz. that heart rate control design based on second-order models can achieve better tracking accuracy (RMSE for C2 lower than C1) as a consequence of a more dynamic control signal ( Pu higher for C2 than for C1) when compared to controllers designed from first-order models.
Prior to hypothesis testing, normality of differences between evaluation outcomes for C1 and C2 was assessed by a Kolmogorov-Smirnov test with Lilliefors correction. As all the differences were found not to significantly deviate from normality, paired one-sided t-tests were used with a significance level of 5% ( α=0.05 ). Statistical analyzes were implemented using the Matlab Statistics and Machine Learning Toolbox (The Mathworks, Inc., USA).
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8

Heart Rate Dynamics Analysis

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Statistical analysis was carried out on the identified k and τ parameters to explore whether any differences existed in overall HR dynamics between the moderate and vigorous intensity regimes (paired two-sided t tests).
For the analysis of individual-step dynamics, directional dependence (asymmetry) was explored using a paired two-sided t test on pooled models from all up vs. down steps. For the individual steps, it was investigated whether intensity level ( v1 vs. v2 ) and time (steps 1, 2, 3 and 4) as factors had a significant influence on the dynamics, i.e. whether different dynamics were observed for the four individual step changes in speed at each intensity level, and whether there were significant intensity–time interactions. This was done using two-way repeated-measures ANOVA with intensity and time as independent factors. When significance was found for any factor, Bonferroni correction was used for post-hoc pairwise comparisons.
The significance level was set to 5 %, i.e. p<0.05 , for all analyses. Statistical calculations were carried out using the Matlab Statistics and Machine Learning Toolbox (The Mathworks, Inc., USA) and SPSS software (IBM Corp., USA).
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9

MATLAB® Statistical Analysis Protocol

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All analyses were conducted using the MATLAB® statistics and machine learning toolbox (The Mathworks Inc., Natick, Massachusetts, USA, version R2016b).
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10

Sleep Stage Classification using SS-ANN

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The inputs to SS-ANN were 185 × 13 pixel grayscale images, representing 32.5-second periods of the standardized joint EEG/EMG spectrogram centered on each epoch. We created a basic CNN architecture using the MATLAB Statistics and Machine Learning Toolbox (MATLAB, The MathWorks, Natick, MA): 3 convolution—batch normalization—ReLU—max pooling modules, followed by a fully connected layer, softmax layer, and classification layer. The convolution layers had filter size 3 with 8, 16, and 32 filters per layer. The max pooling layer had size 2 and stride 2. The network was trained using stochastic gradient descent with momentum and a mini-batch size of 256 for 10 epochs. The learning rate was 0.015, reduced by 15% each epoch. Classes were balanced prior to training by randomly oversampling the classes with the fewest examples to reach the number of examples in the largest class. Following the classification step, sleep stages were refined by assigning bouts shorter than 5 seconds to the surrounding stage.
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