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

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Analyzing multifactor data

I'm trying to analyse a dataset in R, looking like this: ...
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61 views

How to consider different sources for unsupervised machine learning?

In the engineering context several data sources like different kinds of measurement signals (for example distances, angles and efficiencies) are very common. If it would be possible to oberve these ...
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9 views

Compare the ratio of two variables over a set of sample data?

I have number of applicants and number of candidates recruited for 10000 job openings. I want to interpret the significant difference between two variables. One way is to compare their means. Is there ...
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29 views

confirmation and validation of a lab environment versus real life scenario

I'm having some trouble trending turbofan jet engines exhaust gas temperatures (EGT). Data collected shown that EGT measured in the test cell versus EGT measured on-wing while flying is different. ...
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1answer
17 views

Multinomial Count Models

Is it possible to model a dependent variable which is both multinomial and count? If so, how would one do so with a tool such as R? For example, suppose that my dependent variable looks like this: ...
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Comparison between the coefficients of two GLMs

I would be happy to have your thoughts on the issue of comparing the beta-values resulting from two different GLMs. Should the beta values be scaled before a statistical comparison? which test would ...
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33 views

Can I validate results after statistical hypothesis testing?

I have data from one clinical test for 450 patients. Depending upon my objective, I divided data into 7 different categories to compare two groups, in each category (inherited from parents and not ...
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1answer
36 views

Canonical Correlation Analysis in R

I have a dataset of temperature readings of different burner parts which determine the final temperature of the burner and time to set off burner So my dataset looks like this: ...
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10 views

Setting a Target or Benchmark based on Historic Process data

We have 15 Work processes for a departments. There is the historic data for the dept with all the information. Data defines the which process is done by whom, minutes of work, start date and finish ...
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24 views

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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37 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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1answer
31 views

Alternate terms, or definition for functional logistic regression

I have recently come upon a paper discussing "functional logistic regression." I could not find literature related to functional logistic regression. Is there a different name for this kind of ...
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41 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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53 views

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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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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56 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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15 views

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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1answer
151 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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2answers
91 views

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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1answer
36 views

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
116 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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56 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
455 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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133 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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192 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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3k 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
179 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
371 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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272 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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2answers
2k views

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
312 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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288 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 ...
9
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1answer
1k views

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
180 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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223 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 ...