Functional Data Analysis defines a framework where the fundamental units of analysis are functions.

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Question about example in Linear Models for Functional Responses

I am reading Chapter 10 Linear Models for Functional Responses of Functional Data Analysis with R and Matlab by Ramsay. On page 148, the book mentions the model for "Climate Region Effects on ...
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32 views

Is Multiple Regression the right choice for my statistical design?

I am studying the relationship between mental health offices and judgments of perceived care expected within those environments. Participants will rate different photographs of mental health offices ...
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20 views

Smooth.monotone function in the Berkeley Female Growth Data

I am learning functional data analysis by myself. But I come across one problem when I implement the example of the growth girl study example. Below is the code from the book "Functional data ...
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Functional clustering with R [closed]

I have a time series data in R, and I am using functional clustering. I would like to interpret a figure that is output below the code. Furthermore, I would like to control line colors and thickness ...
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42 views

How to show whether a hypothesis is true or not

I have the following hypothesis: "The higher the number of translation-stable words between a pair of countries, the higher the correlation between the happiness scores of their words". note: ...
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43 views

Question about plot coefficient for B-spline method

This is a practice question from chapter 4 of "Functional Data Analysis with R and MATLAB". There are some preliminary steps to achieve it. Basically, the problem assigns me to generate a random ...
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43 views

Problems about B-spline estimation method

When I took non-parametric regression course, I was required to fit the regression of log-pollen over the course of study (day) with the kernel density estimation method. Since my instructor also ...
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26 views

Beta linear model

I wanted to learn more about the Beta linear model for data analysis. I was wondering if there were any good books out there to help code this model in R and to learn more about the Beta linear model. ...
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Find out whether the answer to a question depends on a group

I've distributed a questionnaire to four different groups of people. An example of a question in the questionnaire is: Do you want to be informed about financial topics through social media? Yes/no. ...
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19 views

Study brain functional connectivity after ICA

I am new to neuralimaging, one thing that confuses me is the justification of computing correlation of those independent component network (ICN) from ICA. All papers I have read treat each independent ...
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41 views

Most efficient vector construction for Dynamic Time Warping

I'm in the process of folding FastDTW into my SVM and the question now is how to best format my data (irrespective of normalization). Here's an example of what I'm attempting to do - given two 3d ...
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100 views

Different number of time-points in functional data analysis

I have a data set that I wish to analyze using functional data analysis methods. Data consists of repeated measures of some characteristic on a number of inviduals. I have the time of the measurements ...
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Limiting joint distribution of estimators; Functional Statistics; Influence curves;

Let $X_1,...,X_n$ iid r.v. with distribution F, with mean $\mu$ and median $\theta$.Assume that $Var(X_i)=\sigma^2$ and $F'(\theta)>0$. If $\hat{\mu}_n$ is the sample mean, and $\hat{\theta}_n$ the ...
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Alternatives to absolute error?

Let me explain my scenario in which I need to calculate absolute error. Lets say the X is the actual value. And X' is the value of X with some error 'e'. So X' = X + e'. Lets say i = 1 to 10000. I ...
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1answer
97 views

Create a function from a data set when there is one independent variable and 3 dependent

I have a data set which consists of 1.Number of users, 2.Cpu usage, 3.Ram Usage, 4.Response time, The way I understand it Number of users is my independent variable. Is there a way, a method, or a ...
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46 views

Longitudinal data using functional principal components mixed effect models

I have collected speech perception performance in children during one-year followed-up (four time points). A battery of speech perception measures (i.e., five measures) were used at each test ...
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1answer
299 views

How to map a trajectory to a vector?

I have a series of data points in this form (timestamp, lat, long) for a set of users. Each user has a trajectory when he travels from point A to point B. There might be any number of points from A to ...
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1answer
83 views

Forecasting of density function

I am doing some research about forecasting time series of probability density functions. We are aiming to forecast a PDF given historically observed (usually, estimated) PDF. The forecasting method we ...
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161 views

Rubric for good data analysis

As statistics education moves online, educators are facing new problems related to the administration of their courses. Jeff Leek and Roger Peng, for example, taught approximately 100,000 students ...
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1answer
2k views

Dynamic Time Warping and normalization

I'm using Dynamic Time Warping to match a "query" and a "template" curve and having reasonable success thus far, but I have some basic questions: I'm assessing a "match" by assessing whether the DTW ...
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1answer
93 views

Estimate global mean and stdev from samples taken at regular intervals

I have data from a load test of an automated system with several thousand data points that cover roughly 1 week of operation. I need to compare several algorithms for this system to see which is ...
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2answers
178 views

Data analysis on multiuser environment

I have following environment that I'd like to analyze. My company is divided in two teams: Insert Team (composed by 150 persons) Quality Check Team (composed by 10 persons) Suppose that all ...
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1answer
296 views

Modelling longitudinal data

We have longitudinal data on children(n<20) in which we measure different quantities A,B,C,D (like distance walked, time spent in school etc.). These are all continuous variables. We measure these ...
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228 views

What statistics to use when the data are polynomial functions (aka change over time)?

EDIT: OK, having spent the last couple of hours checking out some pubs on functional data analysis, I am actually starting to feel a little silly having asked the question in the first place! It's ...
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How to simulate functional data?

I'm trying to test various functional data analysis approaches. Ideally, i'd like to test the panel of approaches i have on simulated functional data. I've tried to generate simulated FD using an ...
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1answer
309 views

What is the level of measurement of image data?

Question: This is a bit of an abstract question, but bear with me. I am averaging images, to try and deduce what the average image of a specific subject looks like (just out of curiosity, it might ...
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262 views

Predicting curve registration parameters in functional data analysis with noisy data

I have some data I'm studying where functional data analysis seems like a promising approach. But having never tackled FDA before, I'm having trouble wrapping my head around it. For background, I ...
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Predicting response from new curves using fda package in R

Basically all I want to do is predict a scalar response using some curves. I've got as far as doing a regression (using fRegress from the fda package) but have no idea how to apply the results to a ...
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1answer
176 views

Variability of a curve with 4 parameters

Say I have 10,000 data in 2-D and I want to fit a curve to them. There are many functional forms this curve could take -- polynomial, B-spline, trigonometric, and so on. I've decided that I only want ...
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212 views

Estimating speed from position updates with uncertain time intervals

I have 2 alternative methods to solve a problem, and I was just wondering what people who know the math better than I think, and if there is a better method to use for this type of problem. The ...