A random variable $X$ is called continuous if its set of possible values is uncountable, and the chance that it takes any particular value is zero ($\text{P}(X = x) = 0$ for every real number $x$). A random variable is continuous if and only if its cumulative probability distribution function is a ...

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16 views

Running time dependent covariate model in R, getting warning

I am trying to fit this model, but it's giving a warning message I don't understand: ...
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15 views

What model to classify a discretized continuous variable

Consider a variable $y$ (typically, $y_i$ is something like number of inhabitants of city $i$) and some given features $X$. Let us assume that these features are continuous (eg. total city area, ...
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8 views

Mixing Categorical and Continuous variables where cardinality of categorical can surpass data points

Suppose we have a dataset of people that can be described with a mix of some continuous variables (eg height, age) some ordinal (eg social status) and some categorical (eg city, car brand, favourite ...
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17 views

What are best practices for visualizing/selecting visualizations for continuous data?

There appear to be a large number of rules of thumb for histogram bin size and kernel selection for density plots. Are histograms and/or density plots really the best visualization for a single ...
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8 views

How to use Hartemink's discretization algorithm?

From the help documentation of the discretize function of the R package bnlearn: Hartemink's algorithm has been designed to ...
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18 views

Continuous time markov chains, is this step by step example correct

Following my initial question (stats.stackexchange.com/questions/108874/continuous-time-markov-chains-simple-explanation) and some further reading on CTMC ([1], and [2] and also ...
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10 views

Analysis of full factorial with categorical dependent variable and blocking?

I'm working on a research project for which there is some proprietary information that I can't provide here. However, I will do my best to lay out as much information as I can. In this project we ...
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22 views

Continuous time markov chains simple explanation

I am looking into continuous time markov chains which I think are capable of answering questions like "what is the probability that after time $t$ (where $t$ is in discrete time steps in this case) a ...
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4answers
404 views

Calculating PDF given CDF

I know that the PDF is the first derivative of the CDF for a continuous random variable, and the difference for a discrete random variable. However, I would like to know why this is, why are there ...
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16 views

Showing characteristic function is absolutely continuous

A distribution has the characteristic function $\phi(t)$ = $(1-t^2/2)exp(-t^2/4), -\infty < t < \infty$ Show that the distribution is $absolutely$ continuous and write the density function of ...
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32 views

is Julian day a count data or a continous data

A stupid question but has confused me. My dataframe looks like this: ...
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17 views

Associate different continuous types of data with Restricted Boltzmann Machines

This demo shows the DBNs capability to associate different input modalities ("images of digits" and "labels"). By clamping one modality at the top layer, the network can infer the other via (Gibbs) ...
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2answers
57 views

interaction of categorical and continuous variables

I have a dependent variable that is continuous and I have two independent variables: one continuous and one categorical (with 2 categories) The interaction between the independent variables is ...
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2answers
62 views

What type of predictive analysis should I use? [closed]

I have a pure math background with knowledge of basic statistics (random variables, inference, etc.) but am new to predictive modeling. Here is my situation: I have a bunch of independent variables ...
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1answer
46 views

A mixed discrete-continuous distribution

Let $(X,Y)$ have the mixed discrete-continuous pdf given by: $$f(x,y)= \begin{cases} \frac{y^{a+x-1}e^{-2y}}{\Gamma(a) x!}\ y>0;x=0,1,2,\ldots \\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{elsewhere} ...
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1answer
84 views

Clustering data that has mixture of continuous and categorical variabes

I have data that represent some aspect of human behavior. I want to cluster it (unsupervised) into behavioral profiles of some sort. now, some of my variables are categorical (with 2 or more ...
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2answers
150 views

Treating data that is not normally distributed

Please allow me to start off by saying that I'm not particularly familiar with statistics and data analysis. I have a data set which has a population size of 266, a mean of 24.8 and a standard ...
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0answers
49 views

A good alternative to data binning?

I read many times that data binning of continuous variables is a very bad idea. For instance, let's take something like heart rate and let's define the following 2 bins: (125 - 135), (136 - 145) ...
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2answers
79 views

Plotting an interaction between a continuous IV and DV and an ordinal covariate, can I use a bar chart?

I think my question is similar to this one: How do you plot an interaction between a factor and a continous covariate? My IV and DV are both scales, and my interaction term has 3 levels. I am trying ...
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1answer
36 views

Cluster analysis

I am trying to cluster cells (1×1km) over a specific area. Each cell is composed of various habitats defined by a code. (Each habitat consists of 3 parameters, so a habitat code looks like e.g. ...
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35 views

Chi-square on a categorical variables (derived from continuous distribution)

We know that Chi-Square can be used with categorical data (such as Male/Female, Republican/Democrat, etc). However, I convert my original continuous data to ...
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53 views

Are the predictors in an ANOVA assumed to be independent of one another?

I ran an ANOVA with 4 predictors (2 categorical, 2 continuous) and 1 covariate (continuous). Including the covariate did not significantly alter the main effects of the ANOVA when it was run without ...
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1answer
37 views

Moving average for continuous functions

In statistics, the moving average is usually defined for discrete data sets. Is there a moving average concept for continuous randomly fast-oscillating functions? I am seeking for the moving average ...
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1answer
46 views

How to calculate the confidence interval for a combination of a proportion and continuous data

I want to calculate the 95% confidence interval for a combination of binary data and continuous data. Lets say I want to estimate the production of a certain item from all factories of a given ...
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1answer
53 views

Does the degrees of freedom depend on whether the variable is continous or dummy variable?

In my dataset there is a lot of multicollinearity between the independent variables, therefore it is not possible for me to include them all in the same regression (especially because I have a small ...
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42 views

Model choice for nonnegative and positive continuous right skewed outcome

I am trying to analyze a set of nonnegative continuous non-integer data (i.e. the data points are not counts) that are mostly between 0 and 3 whose distribution is highly right-skewed even after log ...
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65 views

repeated measures ANOVA with covariate

I conducted a repeated measures ANOVA and added a continuous covariate. Now there is a significant main effect of that continuous covariate. If I report that main effect I need to say something about ...
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1answer
73 views

For what class of distribution is this function concave?

consider the following sorted sample: $x_1<x_2<\ldots<x_n$ and the kernel function: $h(j)=\log(x_j-x_1), j>1$. Now, it turns out that when I draw data from many continuous ...
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28 views

Generating a categorical variable from an imputed variable

I am using multiple imputation to impute a continuous variable ($X$) with $\approx30\%$ missing values. I have a question regarding the generation of a new categorical variable ($Y$), starting from ...
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35 views

Continuous dependent variable that almost looks like a categorical variable

I recently conducted an experiment where people had to decide how much money to take from another participant. People could choose to pick any value between 0 and 100 percent. It turns out that around ...
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1answer
75 views

What methods exist for finding optimal splits to discretize continuous data with respect to a target variable

I'm doing some research into methods for discretizing a continuous variable coupled with a binary target variable to find the optimal split points to maxamise a measure of impurity (gini/entropy). ...
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1answer
38 views

What is the interval that relates to the mean as the equal tailed interval relates to the median and the highest density interval relates to the mode?

When summarizing a one dimensional continuous distribution (e.g. a posterior distribution) it is common to use either an equal tailed interval (aka quantile-based) or a highest density interval. The ...
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90 views

SPSS: How to decompose interactions in repeated measures ANCOVA?

I conducted a study with three categorical within-factors and one continuous personality variable: topic (1,2) x gain loss framing (1,2) x achievement security framing (1,2) x personality I know how ...
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1answer
21 views

Association rules for continuous features

I need to detect rules in a data set that contains real-valued features. A simplified example of my samples, defined by features a, b, and c, and having class 0 or 1, might look like this: 2.34, ...
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54 views

Correlation between a categorical predictor and a continuous outcome variable

How do I perform correlation between a categorical antecedent variable and a continuous outcome variable? Like for example, correlating EACH attachment style with another variable, i.e, social ...
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1answer
49 views

Probability density function within [0,1] with specifiable mode

I needed a probability density function which worked on the interval $[0,1]$, had kind of a bell shape, and had an adjustable mode / peak $p$. I thought of a pdf $f(x|p)$, given by \begin{equation} ...
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1answer
22 views

Find sudden change or high variation in a dynamic real-time stream of real continuous number

I have a stream of real continuous numbers (Figure. 1). The stream flows from left to right. At $t_1$ the first number entered the stream. Every time a new number enters the stream I check if there is ...
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1answer
120 views

Sample from a custom continuous distribution in R

I have a probability density function in R and I want to draw a single sample from it. How do I do that? My current solution (and the one Google keeps giving me) is to evaluate the function for a ...
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1answer
51 views

Markov chains #2

A very new European “Rapid Reaction Force for Fire” has been created today and begins operation between three Countries “A”, “B” and “C”. It’s main resource is a super aircraft “Funderbird2” with a ...
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1answer
55 views

Calculating agreement between an ordinal and continuous scale

I'm having a bit of trouble wrapping my head around something. I have a data set which contains two columns that essentially attempt to measure the same thing, one on a 1-50 continuous scale and ...
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35 views

Explain a continuous variable by other continuous variables

I'm trying to analyse the correlation between data extracted from a running tracking app. From this dataset, I would like first to study how some continuous variables (amongst elevation, heart rate, ...
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28 views

Estimating a joint probability distribution with antimode

I am looking for a certain multivariate probability distribution function to fit to my data, but the usual multivariate normal distribution is unfit, since my data has a dent (antimode) instead of a ...
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2answers
49 views

Multidimensional Differential Entropy

I am looking for a measure of entropy over multiple random variables, each with values between 0 and 1. Intuitively, it seems possible to talk about the expected value of information of several ...
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1answer
40 views

Divergence from uniform distribution (continuous): dispersion measure?

I have data of a continuous random variable within the range [-1,1], which sometimes is concentrated around 0, while other times is concentrated toward -1 and 1, while zero is relatively ...
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1answer
60 views

What's a distribution with an abyss instead of a peak?

I am looking for a (commonly used) probability density function, which would look like a normal distribution flipped upside down. It would look like a uniform distribution with a dent in the middle. ...
3
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1answer
84 views

Predicting a continuous outcome using point process descriptors

I have measured a series of times for discrete events along with a continuous variable. So essentially I measure a point process $P: t_1, t_2, \dots, t_n$ and values $A_1(t=x_1), A_2(t=x_2), \dots, ...
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1answer
48 views

Probability of observing value EQUAL to +2 SD in a standard normal dist with parameters N(0,1) [duplicate]

I understand how to calculate the probability that a value falls above or below a certain Z score. How about calculating the probability that a value is equal to a particular Z? In my homework I see ...
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2answers
97 views

One way analysis of continuous variables for classification (Visualising)

I had trouble coming up with a title, so hopefully I can explain it better here. I'm working on a classification problem and I'm doing some pre-analysis of variables. I'm looking for some nice ways ...
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31 views

Dependent variable is the amount of remittances in a survey

My thesis is on the microeconomic and macroeconomic determinants of remittances, and i am doing the research by using primary data taken directly from the expatriates who are working abroad.My ...
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47 views

Splitting a variable with nominal and numeric values

I have a variable that has both numeric and nominal components. The source has a documentation which helps in identifying which is which and for splitting into their proper components. I will do ...