Questions tagged [interpolation]

Given a set of bivariate data (x, y), to impute a value of y corresponding to some value of x at which there is no measurement of y is called interpolation, if the value of x is within the range of the measured values of x.

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Is it valid to run t-test on interpolated vectors - if so, how to adjust alpha?

The task: I need to calculate a one-sample t-test to see if the mean of a vector of values differs significantly from zero. Data: The dataset consist of about 25 such vectors, each with a length of ...
80 views

Calculate projectile trajectory from 3d points

I am trying to calculate the trajectory of a moving object (specifically, a thrown object) through a series of video frames. My tracking algorithm can reliably detect ~90% of the object occurrences ...
12 views

Enhance gap between analytic and interpolated data in visualization

I have two data sets, disposed in a 3Dplot. one set represents the interpolated data, the other the analytic. Each set lies on a separate grid. I have plotted the data with python matplotlib on a ...
265 views

What is the difference between linear interpolation and piece-wise linear interpolation?

I'm familiar with linear interpolation. I tried to search some details about piece-wise linear interpolation but failed to understand this method. Can someone explain the difference between these two ...
207 views

How to pass equation formula to R function? [closed]

I need to interpolate simple linear equation to the set of points. Equation has the following form: $$log10(y)=A+B/(C-X)$$ where A,B,C - coefficients of equation. So far I was able to interpolate ...
190 views

Interpolation between two distributions

I have a list of empirical measurements describing the rents of apartments grouped by the apartment's size. I.e there are five categories, apartments with 2.5, 3.5, 4.5, 5.5, 6.5 rooms. For each of ...
115 views

Time varying covariates and Interpolation issue

Based on my reading on time-varying survival analysis, I am encountering two different and conflicting sets of advice with regards to time-varying covariates and interpolation. The first advice is ...
977 views

What options are there to 'normalize' values from a heavy-tailed distribution?

We have some data collected acquired from a complex setup, that is expected to come from a "fairly normal" underlying distribution. However when I investigate the data it appears that it's fairly ...
336 views

Multivariable piece-wise linear approximation in R?

I am trying to run linear approximation on a function of 2 or 4 variables. The approx function in R is a very nice, optimized time saver, but it only works for 1 dimension functions I think. Anyone ...
80 views

What is 5th order kriging?

For our foray into geostatistics we got data that consists of measurements taken from the soil. The dataset has like concentrations of various different minerals. We were divided into a number of ...
213 views

Kriging variance results

I'm quite a newb at statistics and interpolation, and I cannot understand how to interpret the error estimation computed by Kriging. For example, I performed kriging on temperature values (Celsius ...
501 views

How do I interpret prediction interval and point prediction?

Consider a simple linear model: I have obtained a prediction interval of $(37, 66)$ and a point prediction of $52$. (the problem behind is not a concern I reckon, for the sake of the question). Now ...
58 views

What are the considerations for spline-interpolating a whole dataset?

In Clinton, et al. 2010, the authors use splines to interpolate 100 equally spaced data points per year from only about a dozen actual measurements. The 12 (or possibly less for the NDVI data) ...
23 views

Validating decomposition of Synthetic Tensor generated from Unevenly Sampled Tensor

I have a 3-way tensor generated from 7 experiments, with each experiment being matricized and becoming a frontal slice of the tensor (thus mode-3 is of length 7). The data is generated from ...
42 views

Prediction/time series/data problem

I have a poverty dataset with rows containing different places and different years and I have to predict the poverty percentage for those places next year. Overall I have over a thousand rows. But I ...
291 views

Interpolating and aggregating Median Income from binned Census data

I'm working with the most recent ACS Census data for New York City. I'm trying to calculate median income for Neighborhood Tabulation Areas (NTAs), which consist of several Census tracts. The Census ...
46 views

Fitting an interpolating spline to show mean of interaction on cloud plot

I am surprised to not be able to find a straight forward answer to my scenario. I have created a series of mixed effects models using lme4. I am trying to plot the data in ...
1k views

Disaggregate monthly forecasts into daily data

I would like to disaggregate monthly forecasts of sales into daily data. I have historical data about daily sales over the past two years (which mainly depends on deterministic effects like day-of-the-...
143 views

Linear regression of B-splines with terms inside an integral?

I have encountered a problem that the literature suggests linear regression is able to solve, but I am at a loss. I have a function $F$ that I want to estimate. This function obeys $N$ equations of ...
I have a function $t \rightarrow f(t)$ and its values on a discrete set of time points $t_1, \dots, t_k$. I want to obtain a smooth approximation of my function $\hat f(t)$. I would have done it ...