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2k views

How to interpret the results of PCA

There is a larger matrix (1500 rows x 40 columns), 1500 observations x 40 variables. then I follow the procedures of PCA(Principal components analysis), 1. find correlation 2. find eigenvalues 3. ...
10k views

How to use a 3×3 covariance matrix to plot an error ellipsoid?

I have a 3×3 error covariance in Mathematica, but I don't know how to use it for plotting the error ellipsoid. It would be great if you can show me how I can do that for the below covariance matrix: <...
132 views

Sample matrix indices in proportion to the matrix element values

I have a 4 by 4 array which has a probability associated with each point. {{0., 0., 0., 0.9}, {0., 0.05, 0., 0.}, {0., 0., 0., 0.}, {0., 0., 0.05, 0.}} I ...
471 views

Calculate the covariance of a large matrix

I have to compute the covariance of 50 very large integer matrices (2500x2000 elements). However, according to my estimation this will take around 10 days. Do you have any ideas how to speed things up?...
766 views

What is the Mathematica equivalent for corr2?

What is the Mathematica equivalent for MATLAB's corr2, which gives the correlation coefficient of two 2D matrices?
2k views

stationary distribution of a transition matrix

How can I solve the stationary distribution of a finite Markov Chain? In other words, how can I estimate the eigenvectors of a transition matrix?
1k views

Total Variation Distance of probability matrix

How can I calculate the Total Variation Distance of a transition Matrix? is there any built in function? I've searched all documentation and haven;t found anything. ** More information: Let me try ...
227 views

How to form binary matrix with constants and given probability?

I want to create a binary matrix of 6x3 in which six elements (m13,m23, m33, m42, m52, m61) are constant and assigned '0' value; whereas for other twelve elements (m11, m12, m21, m22, m31,m32, m41, ...
254 views

Mathematica Complains about Non Symmetric Covariance matrix, when it's not the case

I was doing some fitting with Mathematica7 using NonlinearModelFit. It's quite long the program to do the fit and that's why I am not displaying here ... It goes ok, and I can get the fit parameters ...
153 views

How to generate a matrix with certain conditions

I want to generate a $n \times n$ matrix. I want the diagonal entries to be all 0 I want a random choice of matrix elements with 0 or 1. The probability of having a 1 as a matrix element is $1/m$ and ...
343 views

Measures of association, Concordant and Discordant

I want to calculate concordant and discordant pairs on nx2 tables. ...
246 views

Creating a contingency table

I need help in creating a function for a contingency table... I imagined to create it like this... ...
106 views

Find rank of the row nearest to random variable

I have following code dist[a_, b_] = WeibullDistribution[a, b]; data = Table[ j = Table[i = RandomVariate[dist[2, 1], {3, 3}], {i, 1, 4}], {j, 1, 3}] above ...
86 views

Compute the potential of confusion between two matrices

I have a problem. Any help will be appreciated. In order to calculate the accuracy, sensitivity, sensibility and F1 score between diseases and their symptoms, I have two matrices with a different ...
150 views

Can't define average for my matrix

I have a list defined as MarsDisk which, in MatrixForm, has 17 rows and 3 columns, which hold information about a photon energy ...
414 views

Generate a simulated covariance matrix

I am working on a problem where one of the input variables is the level of covariance between the entries in a particular matrix. To simulate this problem in Mathematica, I will need to feed my code ...
154 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 ...
42 views

Matrix of deviate scores

I am trying to replicate some steps in Jonathon D. Brown's text "Linear Models in Matrix Form: A Hands-On Approach for the Behavioral Sciences" Brown, 2014, p.12. I am creating a "matrix of deviate ...
399 views

Generic Matrices

A multivariate Gaussian distribution for $k$ dimensions looks like this: $$\frac{1}{\sqrt{(2\pi)^k|\mathbf \Sigma|}}\mathbf e^{ -\frac 1 2 \mathbf x^T \mathbf \Sigma^{-1}\mathbf x }$$ $\mathbf x$ ...
73 views

Computing the PDF of a WishartMatrixDistribution. Is this a limitation in the PDF Mathematica function?

I'm trying to compute the pdf of a wishart distribution. Why does PDF[WishartMatrixDistribution[10, IdentityMatrix], 2*IdentityMatrix] not return a ...
148 views

Is this a Symmetric Matrix or not?

I've generated the cov matrix in the following way: ...
61 views

98 views

Sampling from an one-dimensional Wishart [closed]

I searched for a similar question but could not find one. My problem is sampling from an one-dimensional Wishart distribution. The Mathematica specification is ...
184 views

How to map the second highest value in each row of a matrix

I have a matrix with three or more columns called mat. I would like to map the second highest value in each row of mat into its ...
107 views

Rewriting a given multivariate PDF so that it has the form of multivariate normal

Say, we are given a probability distribution function that we suspect is a multivariate normal. In Mathematica, how can we rewrite such PDF to get its covariance matrix and vector of means? For ...
46 views

How to write a command that produces such a matrix that takes n as an argument, where every node has probability 1/m [closed]

Please help in answering the questions above on mathematica. Which commands do I use to answer the question?
{"ft_lang_label":"__label__en","ft_lang_prob":0.8631555,"math_prob":0.9585094,"size":7509,"snap":"2019-43-2019-47","text_gpt3_token_len":1922,"char_repetition_ratio":0.13844104,"word_repetition_ratio":0.015673982,"special_character_ratio":0.26168597,"punctuation_ratio":0.15085639,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9971103,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-20T15:30:44Z\",\"WARC-Record-ID\":\"<urn:uuid:4109cb3a-b56e-42ff-bc13-af2b5a3a3974>\",\"Content-Length\":\"204836\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a58286db-5117-4c86-a64f-b493d6680dc8>\",\"WARC-Concurrent-To\":\"<urn:uuid:d8f79c20-a806-44f9-9504-f8ea24482a1b>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://mathematica.stackexchange.com/questions/tagged/matrix%2Bprobability-or-statistics?tab=Votes\",\"WARC-Payload-Digest\":\"sha1:TO2BXHX3GLJCGIHRDTYX6C6XZ5N7TY6I\",\"WARC-Block-Digest\":\"sha1:6G4PQRYKYIUMBLDFAVNGV2BWYHP652FI\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570986710773.68_warc_CC-MAIN-20191020132840-20191020160340-00425.warc.gz\"}"}