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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12
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3answers
238 views

Uniform random variable as sum of two random variables

Taken from Grimmet and Stirzaker: Show that it cannot be the case that $U=X+Y$ where $U$ is uniformly distributed on [0,1] and $X$ and $Y$ are independent and identically distributed. You should not ...
0
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0answers
21 views

Appropriate classification model for combination of continuous, binary and categorical inputs

I have a binary classification problem for classify my samples to two classes (class_1 and class_2). I have different kinds of ...
0
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0answers
10 views

R [nlme] Incrementing / Adding units to continuous covariates?

I'm trying to find out how I can change the beta estimates for a continuous covariate in my model from 1-increment to another increment. For example, if I have age in the model, and I want to ...
0
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0answers
15 views

Methods for predictive modeling on continous target

I am trying to put a continuous target into predictive modelling method. The target is an amount that can range from 0 to unknown. I have roughly 1000 records (for modelling and validation ...
0
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0answers
49 views

How to transform continuous data with extreme bimodal distribution

Is there a way to transform a continuous predictor variable (grant) that has a bimodal distribution into a normal distribution (see density plot below)? I have tried log(x+c), z-score and inverse ...
2
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1answer
32 views

What is a continuous variable in statistics?

Continuous variables can be split into three categories according to statements over here: http://www.unesco.org/webworld/idams/advguide/Chapt1_3.htm. One category is Interval - scale Variables. It ...
0
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0answers
15 views

Fitting a logistic regression model with continuous variables without a constant mean

I'm trying to incorporate a continuous variable to a logistic regression with regularization model I've already tested with only binary variables. I know that, if I'm using regularization, I must ...
0
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1answer
25 views

Is there an R package to calculate differential entropy

I am trying to calculate differential entropy over my data. This is how a subset of my data set looks like :- ...
3
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0answers
24 views

Estimating a probability distribution with a discrete and continuous part

This is a question more for advice and a suggested starting point than anything else (though anything else is cool as well ) The data that I have is something like this - 1,000,000 data points of ...
1
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0answers
80 views

Normal Distribution with mean and standard deviation

I'm trying to solve the following problem: Suppose at breast height, the diameter of trees of a particular type is normally distributed with mean=8.8 inches and standard deviation= 2.8 inches.What ...
0
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2answers
47 views

Can C4.5 handle continuous attributes?

I'm trying to play with the breast cancer data available through UCI: https://archive.ics.uci.edu/ml/machine-learning-databases/breast-cancer-wisconsin/wdbc.data When trying to classify the data ...
2
votes
2answers
170 views

When can a continuous variable be treated as categorical?

I have a continuous variable, which can take any value between 0 and some large, though not infinite, number. Let us assume that the maximum possible value is 1000. The values are nowhere near ...
2
votes
2answers
44 views

Correlation between a nominal (IV) and a continuous (DV) variable

I have a nominal variable (different topics of coversation, coded as topic0=0 etc) and a number of scale variables (DV) such as the length of a conversation. How can I derive correlations between ...
0
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0answers
32 views

Absolutely continuous probability distribution and its probability density

A Wikipedia article states: A random variable $X$ has density $f_X$, where $f_X$ is a non-negative Lebesgue-integrable function... $F_X$ is the cumulative distribution function of $X$... ...
0
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2answers
63 views

Time series - plotting continuous and categorical variable

I have one dependent continuous variable and an independent categorical variable. Each one minute window on a time series is marked with one category, for example 10:00 - 4, 10:01 - 1, 10:02 - 5, ...
0
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0answers
39 views

Controlling for categorical variables before correlation using residuals?

I’m looking for a way to control for the effect of multiple categorical variables, all of which contain two independent categories, on two continuous variables before I correlate these continuous ...
1
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0answers
8 views

Selecting optimal model when only smoothed data available?

I have a graph of some (highly nonlinear) experimental spectrum which is obtained by smoothing results of several repeated measurements obtained by different experimental methods. The graph also ...
1
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2answers
52 views

HR of a continuous variable and manipulation of its interval

I am a medical intern trying to understand Cox regression modelling using R. I am using the pbc data of the survival package with the following code: ...
1
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2answers
80 views

Graph with 2 interacted continuous predictor vatiable

When using glm(link=logit), I detected a significant interaction between two continuous predictor variables. How can I present the results visually using R?
1
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1answer
97 views

lme() with several within and between (categorical and continuous) subject factors

I am currently trying to analyse data from an experiment of mine and I have done some searching for instructions on the usage of the lme() function for R, since I am looking to analyse my data with a ...
1
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0answers
18 views

What is the “scale” parameter in “continuous autoregressive model” in cts package?

I am trying to use the "car" command in "cts package" in R program and I see the "scale" parameter there. I wonder whether this can be assumed to be equivalent to time intervals for time series ...
4
votes
1answer
74 views

Can I use Kolmogorov–Smirnov test on my Data?

I am not good in statistics so I desperately need your help. So I have this dataset of distributions, and I want to know if I can use the KS-test on it. the Idea is saying that the feature's ...
1
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2answers
54 views

Combining categorical and continuous variables to calculate a factor

I have a categorical predictor (income) and three continuous predictors (area, no. of bed rooms and no of cars). How can I form a single factor from these variables? In other words I want to combine ...
0
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0answers
25 views

Continuous AR model from a Discrete AR model

I have a model of an $\mathrm{AR}\left(2\right)$ process, thus: $X_n + a_1X_{n-1}+a_2X_{n-2}=Y_n \qquad \mbox{for} \qquad n=0,\pm1,\pm2,\ldots $ and I have the equivalent stochastic differential ...
0
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0answers
22 views

Analysis to use with categorical predictors and continuous response variables

I am trying to figure out what the right statistical test to use is for data where the DV is continuous, and the IV's are categorical. There are a lot of different DV's that I want to run through a ...
0
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0answers
46 views

Clustering method that can use graph links, discrete and continuous properties?

I have an un-weighted, directed graph that clusters ok using MCL or other graph clustering algorithms. However, I also have additional discrete and continuous properties of the nodes being clustered ...
1
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0answers
29 views

Modeling Rare Continuous Events

There is extensive literature written on the modeling of rare binary events. Exact logistic regression, rare events by Gary King, and Firth method work well for binary outcomes. But what would you ...
0
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0answers
34 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: ...
1
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0answers
25 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, ...
0
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0answers
21 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 ...
3
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0answers
23 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 ...
0
votes
0answers
40 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 ...
0
votes
0answers
32 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 ...
8
votes
4answers
743 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 ...
2
votes
0answers
27 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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0answers
38 views

is Julian day a count data or a continous data

A stupid question but has confused me. My dataframe looks like this: ...
0
votes
0answers
25 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) ...
1
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2answers
132 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 ...
1
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2answers
93 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 ...
2
votes
1answer
54 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} ...
4
votes
1answer
153 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 ...
1
vote
2answers
183 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 ...
1
vote
0answers
59 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) ...
1
vote
2answers
217 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 ...
0
votes
1answer
45 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. ...
1
vote
0answers
45 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 ...
0
votes
0answers
59 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 ...
2
votes
1answer
70 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 ...
1
vote
1answer
72 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 ...
1
vote
1answer
74 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 ...