# Tagged Questions

Questions on the statistical functions of Mathematica.

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### How to find all possible correlations between n vectors

Given the Matrix ...
54 views

### Replicability of RandomVariate within a function?

I have a rather basic question but can't figure out a foolproof answer. In the following code, I build a function which returns the mean difference between successive elements of a vector created from ...
96 views

### Undo differences in a time series

I have estimated and ARMA process in Mathematica using data which I have had to take the 2nd difference of to remove the trend. I have managed to fit a model to the detrended data but cannot work out ...
528 views

### How can we create a histogram distribution from binning data?

HistogramDistribution takes a list of data points, creates a histogram from them, and returns this histogram in a form that can be used as a distribution. I ...
256 views

### How to partition a list into sublists in a similar way to Histogram

I have a list of list as below (I show part of it) ...
292 views

### How does LocationTest choose its “AutomaticTest”?

Is there a way of determining how LocationTest chooses its "AutomaticTest"? Sometimes it's clear from the ...
126 views

### Given two samples, how does LocationTest select its AutomaticTest?

How does LocationTest select its "AutomaticTest" when testing two samples? Background: A previous post poses a similar question ...
115 views

### Loading StatisticsLibrary

I need to use a number of functions from theStatisticsLibrary namespace. Since that is a bit of a mouthful I would like to import it, but I get errors: ...
85 views

### What is the meaning of Automatic in goodness of fit test?

I can't find what is the distribution corresponding to the default option in: DistributionFitTest[data, Automatic, "HypothesisTestData"]; Is it N(0,1), uniform?
258 views

### Inconsistent DistributionFitTest results?

In pondering this question, I used Mariana's function to generate the following data. ...
184 views

### NExpectation behaves oddly with EmpiricalDistribution

Note: this is fixed in version 9. My question concerns the usage of NExpectation and Expectation and why I see the behavior I ...
77 views

### CDF of TransformedDistribution Not Returned And No Error Message Produced

I am unable to get Mathematica to return the CDF of a distribution produced by TransformedDistribution. It "executes" for 6 hours on my machine and then returns a blank plot. Could someone execute the ...
112 views

### Extracting Imported Information

What I want to do is to compare the relationship between the consumption of say beer and wine using scatter plots where each point designates the particular country (preferably named). I have tried to ...
92 views

### Variance/Standard Deviation with a Constant Vaule

When applying variance (Variance[10]) or standard deviation (StandardDeviation[10]) to a constant value in Mathematica, Should ...
204 views

### Skewness of distribution vs. skewness of distribution's PDF

I'm having trouble understanding why the skewness of built-in distributions is not the same as the skewness of their probability density functions. For example, the following are different (the first ...
527 views

### Testing for OLS Heteroscedasticity White's General Test

I've done my best to search the help and google White's test (http://en.wikipedia.org/wiki/White_test) in Mathematica. Can anyone point me to a function or Mathematica reference for this or do you ...
272 views

### Mathematica Reference Book on Reliability Engineering?

Can anyone suggest a reference book titled “Reliability Engineering Using Mathematica” or similar that contains the version 9 or version 10 functionality ? Some topics/chapters I would be interested ...
1k views

### Persistence length of a polymer chain

I'm trying to calculate the persistence length (Lp) of a polymer chain using Mathematica. The first and simplest method is to compare the EuclideanDistance between ...
562 views

### histogram fit for probability density

I am trying to fit the (probability density) histogram of some data with the exponential function, but I am having difficulties. My raw data are in file called ...
190 views

### Custom BoxWhisker Plot

I’d like to figure out how I can show my entire dataset overlaid on a box whisker plot. ...
193 views

### Discretizing data using quantiles in Mathematica

I am trying to discretize a long array of real numbers into a uniformly distributed integer array. To do this I am identifying the quantile where each real value sits and writing it out to the output ...
240 views

### Better way to get Fisher Exact?

I want to perform a Pearson's $\chi^2$ test to analyse contingency tables; but because I have small numbers, it is recommended to perform instead what is called a Fisher's Exact Test. This requires ...
219 views

### Sparse Principal Component Analysis

I'd like to run sparse PCA on some economic data. There appear to be several R functions available including elasticnet and PMA but I wanted to check if anyone had something coded up directly in MMA ...
143 views

### Best way to represent a joint distribution

The motivation for this question is producing a distribution that produces the gender and age of an individual when the distribution of ages depends on gender. Suppose I want a distribution which, ...
276 views

### Non linear model fit mathematica

I want to fit experimental data (temp,alpha) to the following equation for calculating k and Ea -Log[alpha]^n = function(k,Ea,temp) However i do not know ...
126 views

### Why I need Evaluate for the Plot of the probability density function of PolyaAeppliDistribution?

I encountered this when I was trying to answer this question. I just can't understand why the following code will only give a line at $y=0$: ...
327 views

### Calculating the Mean of a Truncated Multinormal Distribution

First, I'm a little disappointed that Mathematica balks at: Mean[TruncatedDistribution[{{0, Infinity}},MultinormalDistribution[{0}, {{1}}]]] Second, is the ...
175 views

### How can I show a rotated PDF plot superimposed on a ListPlot of the underlying data?

I have a set of 3 lifetime datasets in lists called values1, values2 and values3. values1 = {53377., 16542., 31418., 5629., 17654., 7365., 15797., 862., 76906., 10073.}; values2 = {74412., 15620., ...
343 views

### Fitting a beta distribution to a probability density curve

If I have a spectral data set showing measured energy on the y-axis and frequency on the x-axis, how would I go about fitting this to a beta distribution? For example, lets say I had the data for the ...
123 views

### Expectation problem using empirical distribution

I am having trouble with this Mathematica command: ...
609 views

### Generating a list of integers that roughly satisfy a distribution

Say I have a normal distribution, NormalDistribution[25, 7] I'd like integers from 1 to 50, not sampled at random from that distribution, but sampled in a way ...
220 views

### Probability of the sum of the largest n samples

15 numbers are randomly chosen from U(0,1), what is the probability that the sum of largest four numbers is greater than 3.5? ...
187 views

### How to get an equivalent of WeightedData in Mathematica 8?

Is there an equivalent command of WeightedData (new in version 9) in Mathematica 8 or I have to define it by myself? I haven't found anything in the site or ...
198 views

### Judging the quality of fitting an EventData object to a distribution using LogRankTest

I have $389$ data points defined in an EventData object and want to judge the quality of fit of this data to a fitted $3$-parameter Weibull distribution. This ...
515 views

### BoxWhiskerChart with logarithmic axes

I would like to make a following chart Ideally I would also like to control the boxes position on a logarithmic x-axis. Some inspiration how to do the latter may be found in the answer to my ...
125 views

### Where can I find the Distributions Palette?

I was watching the "Statistics: Modeling with Statistical Distribution" Training Course http://www.wolfram.com/training/videos/DAT016/ and in one of the slides, the following image showed up. Does ...
584 views

### What exactly is “ParameterErrors” of NonlinearModelFit?

I am trying to get what I call a "$\chi^2$ fit". This means taking a function $f(x,p)$ of the variable $x$ with a parameter $p$ and finding the value of $p$ that minimizes the "distance" from a data ...
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### Understanding distribution chart

How to explain DistributionChart function in mathematica, For example: if I have ...
1k views

### How can I compute and plot the 95% confidence bands for a fitted logistic regression model?

I have a set of binary data that I' d like to fit a logistic regression model to and show the 95% confidence band around the fitted function. I can produce the regression model but how do I compute ...
160 views

### Discrete distribution binomial set up

I hope one of you guys can help me out. I am trying to visualize a discrete distribution based on a binomial distribution and a mixed binomial distribution. In the first step I started to determine ...