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 ...

learn more… | top users | synonyms (1)

1
vote
0answers
20 views

Regression modelling with mixed data set: categorical and numerical predictor variables

There are thirteen predictor variables which are a combination of 8 continuous, 4 binary and 1 categorical variables. The dependent variable is again categorical. I understand that I need to use dummy ...
0
votes
1answer
27 views

Effects in metaanalysis forest plots - what are the conclusions?

In metaanalysis results are often reported in forest plots, where multiple studies are included. Different, continuous outcome scales are used to measure the effect of a treatment on the course of a ...
0
votes
0answers
16 views

Regression for continuous dependent variable with independent ordinal variable

My situation is as follows: as a teacher, I've given students the option to make 5 sets of homework during the year, which does not count for their grade, but solely to practice and receive feedback; ...
1
vote
0answers
20 views

How to compute a mean of some numbers from normal distribution? (using continuity correction) [closed]

In practice, specifically writing a paper, we often need to compute an expected value of some sample drawn from a certain continuous distribution. Let's say, draw 100 numbers from $N(0,1)$, and ...
1
vote
1answer
26 views

SEM: Combining latent and manifest variables

I did a survey, using many intervall-scaled items representing several constructs. I want to use these constructs to predict an outcome (decision: yes/no). Thus, I got (latent) predictors to explain ...
-1
votes
0answers
17 views

Ordinal dependent variable + Continuous, Nominal AND Ordinal independent variables Can I run Linear regression in SPSS?

I am very new with regression... it's only been two weeks. I am using a trial version of SPSS, looking at linear regression. Here is the breakdown of my variables: Dependent: -5-point Likert scale ...
1
vote
1answer
51 views

Find P(Y=y | X=x) when X is a continuous random variable

could someone help me understand how to find the probability $\Pr(F=f_1 | X=x)$ by using the inputs below, where $X$ is a continuous random variable? Note: I know that probabilities of specific ...
-1
votes
0answers
10 views

The endpoint of the last interval in a continuous variable

Suppose we have a series of observations of the continuous statistical variable $X$. In an increasing order of $X$ we have: $$X:x_1,\cdots, x_n$$ I want to put them into classes or bins. Suppose for ...
-1
votes
2answers
63 views

E(x) for uniform distribution

I would like to take a uniform distribution for example. Let’s say a train will arrive at the station randomly within every 10 minute window, so the probability density function is $f(t)=0.1$,$\: t ...
0
votes
0answers
27 views

Proper regression method for multiple continuous independent and a single continuous dependent variable?

I have 3 continuous (actually ordinal) independent variables and a single continuous dependent variable. I'm trying to sort out which regression method I should use in this case. MANOVA appears to ...
0
votes
0answers
14 views

Gamma/ inverse.gaussian glmer with zeroes that matter

I'm trying to analyze continuous non-negative data with real zeroes that matter. The data are either gamma or inverse.gaussian distributed (from gamlss package) and ...
0
votes
1answer
21 views

Count Models for Continuous variables

I want to analyze the effect of taxes on the amount of fixed assets an affiliate of an multinational capitalizes. Fixed assets are of course not a count variable. Can I anyway use a count model such ...
0
votes
0answers
20 views

How to find Kolmogorov Forward Equations, given generator matrix Q? [duplicate]

I am having difficulty in forming Kolmogorov Forward Equations. I understand how the KFE is derived and that $$\frac{d}{ds} p_{ij} (s) = \sum_{k \neq j} p_{ik} (s) \lambda_{k} r_{kj} - p_{ij} ...
0
votes
0answers
12 views

Find all modes (or modal intervals) in a continuous univariate sample

Consider a continuous random variable with density something like: There exist formal statistical tests for a sample from such a distribution which give us an indication of whether or not that ...
3
votes
1answer
30 views

How is it logically possible to sample a single value from a continuous distribution?

For example, suppose I am told that 10 data points come IID from a normal distribution with some mean and variance. Isn't the probability of realizing each of these values zero? Shouldn't the fact ...
0
votes
0answers
19 views

Model-based clustering methods for mixed data types

Are there any model-based clustering algorithms for mixed type data (i.e., with both categorical and continuous variables)? The popular 'mclust' can only handle continuous variables.
0
votes
1answer
28 views

Is it better to use the original continuous or discretized data in building a model?

I am currently competing in a Kaggle competition and wondering is it a good choice to discretize particular variables. I saw that some specific continuous variables have almost all values that are ...
0
votes
0answers
16 views

SAS HELP: Imputing both continuous and categorical variables in a single dataset

I am trying to impute data for missing observations within a longitudinal dataset following an arbitrary missing data pattern. Both continuous and categorical variables have missing data. I am ...
0
votes
1answer
26 views

Probability and expected value of a continuous variable in the finite interval

Let's consider a continuous random variable $X$ following normal PDF $f(x)$ and we know the interval of population of this variable, say, $X\in[-4,4]$ Then, the expected value is simply ...
0
votes
0answers
58 views

Analysing multi-category response data

I am developing some stochastic simulations in which I have four explanatory variables that I named Birth Rate, ...
1
vote
0answers
46 views

Logistic regression, rare events, and continuous response

I would like some advice on modeling rare events that arises from a continuous variable crossing a threshold. I have a data set consisting of a continuous response $Z_t$ and continuous regressors ...
0
votes
0answers
35 views

how to perform correlation analysis between binary and continuous variables?

Can any one tell me how to perform correlation analysis between binary and continuous variables? I have to do this analysis for publication wherein we are trying to construct between binary and ...
0
votes
0answers
40 views

interpretation of coefficients in multiple regression with categorical and continuous predictors

I have been struggling with the interpretation of the coefficients in my multiple regression model and I hope you can help me with that! Thanks in advance for reading the long explanation that follows ...
2
votes
0answers
24 views

Marginalizing multivariate-normal distribution canonical form

Regarding the problem of margenalization of canonical forms of multivariate gaussian distribution it was mentioned in probabilistic graphical models text book that $$\int{C(X,Y;k,h,g)}dY$$ is ...
2
votes
1answer
24 views

Given no knowledge of var, include both continuous and dummy

Imagine we have a variable with 5-7 unique values in a machine learning setting. One could argue that given no knowledge, we might convert it into 5 dummy variables, or one might consider it ...
0
votes
0answers
13 views

Help with choosing best statistical test

I'm in the early stages of an atmospheric research project. An atmospheric phenomenon known as the Madden-Julian Oscillation (MJO) is most frequently studied using a numeric index known as the RMM. It ...
0
votes
1answer
36 views

types of data (ordinal, interval etc)

I have data from a questionnaire that uses likert scales only. The response options on the scale were regarding frequency, e.g. 'never' 'sometimes' and 'always'. These responses were coded, with ...
0
votes
0answers
8 views

modelling extracted model parameters

I have modelled growth over time using a beta growth function (nlraa:::bgf2) in nlme in R, including a fixed term - treatment - describing a categorical variable of a drug and 6 concentrations (i.e., ...
0
votes
0answers
26 views

Continuous Probability - Finding probability

I'm practicing getting good at applying what I learned about calculating continuous probabilities but I'm a bit stuck. I would appreciate any help. Some context: There is a computer that is used ...
2
votes
1answer
37 views

Interpret interaction effect of 2 continuous variables

My dependent variable is house prices. And my interaction term contains two continuous variables 1) log of employment at the nearest firm 2) log of distance to the nearest firm. House price = b0 + b1 ...
1
vote
2answers
49 views

Continuous + categorical + Unavailable data

I'm having some troubles with a classification task, and maybe the community could give me some advice. Here's my problem. First, I had some continuous features and I had to say if the system was in ...
1
vote
0answers
47 views

Confidence-interval of continuous-Poisson distribution

I have searched the state of the art of continuous-Poisson distribution [1](normally known as) \begin{align} f(k,\lambda) = \frac{\lambda^k e^{-\lambda}}{\Gamma(k+1)},\lambda\in R^+, k\in (-1,\infty) ...
1
vote
1answer
69 views

Fitting continuous data with zeros to a discrete distribution

I have data on the abundance of a particular organism across a sampling area. However, instead of counts, I have the estimated biomass of the organism at at each sampling location (that is, the ...
1
vote
0answers
24 views

Correlations between different Likert types and different types of variables

I have two questions to ask: Can I correlate an independent continuous variable and a dependent categorical variable? The ratings on the Likert scale are different for both the scales, one has ...
0
votes
0answers
38 views

Univariate analysis for continuous and ordinal predictors of dichotomous outcome

I want to do univariate analysis for continuous and ordinal predictors of dichotomous outcome. The multivariate analysis will be done with multiple logistic regression. 1) Can I use t-test for ...
0
votes
1answer
12 views

How to combine a continuous effect into a function that is for discrete outcome

I have a function like this: log (P(1)/P(0))= a+ sum(h(x))+ g(x), where a is the intercept, h(x) is a binary outcome: 1, or 0. g(x) is a continuous variable that contribute to the log of a ...
0
votes
1answer
25 views

Conditional Variance Formulae

Would I be correct in stating that the conditional variance of $Y$ given that $X = x$ of a continuous distribution is as follows: $$\int_{-\infty}^{+\infty} \left[y- \left(\int_{-\infty}^{+\infty} y ...
0
votes
0answers
8 views

Classify a two state signal with no labeled data (unsupervised)

I want to label each value of a signal in either of two states high or low. each signal looks like this You can easily say from the signal there are 16 low and 15 high intervals. My ultimate goal ...
0
votes
0answers
27 views

How do we calculate this transition count probability?

Note: This is from the proof of prop 3.6 here. We want to calculate the probability of one transition between states $i$ and $j$, ending at state $r$, and starting at state $l$, in a time slice of ...
0
votes
0answers
9 views

Determine the attribute type

I have an attribute that represents a proportion expressed in percentage. According to Stevens' rules the variable would not be ratio - instead interval. But since interval scales do not have the ...
0
votes
1answer
77 views

How to perform binning in order to discretize continuous features for feature selection in R?

If I wanted to use uncertainty measures e.g. information gain for feature selection continuous features need to be discretized. How can I do this in R? Thank you for your help.
0
votes
0answers
22 views

How to categorize a predictor measured on the continuous scale? [duplicate]

How can I select the optimal number of categories that better represent a continuous predictor in the single-variable linear regression model? I constructed this scatter plot: ...
3
votes
1answer
50 views

Is a random variable taking every rational number or a range of rational numbers discrete or continuous?

My guess would be discrete because such a variable would only take a countable set of values and "continuous" seems to imply the continuum of the real numbers.
0
votes
1answer
29 views

Continuous distribution, continuity questions

A distribution function is by definition a right continuous function. For a continuous random variable however, this distinction is not really necessary because the distribution function of the ...
1
vote
1answer
49 views

linear mixed model on continuous, zero-trunctated data

I have a dataset with one continuous response variable (time), a 'treatment' explanatory variable and 5 other fixed factors: ...
0
votes
1answer
31 views

Beta regression with “random effect” of source plot in two seasons

I am attempting to model the effect of several continuous and categorical predictors on a continuous proportion response variable. My experiment had 3 treatments, which were replicated in each of 9 ...
1
vote
1answer
55 views

Existence of expected value of function

According to Wikipedia, the expected value of a continuous random variable is $$E[X] = \int_{-\infty}^{\infty} xf(x) \mathrm{d}x.$$ Suppose $f$ is a function such as $f:\mathbb{R}\rightarrow ...
0
votes
0answers
29 views

Developing a statistical index

I have some variables like countable (water consumption in litres per day, medicine intake etc.) and some uncountable variables (mood status, happiness etc.) To develop a happiness index, what kind of ...
0
votes
0answers
20 views

Method for correlating ordinal and continuous data

I have data from several dozen forest inventory plots. Tree canopy cover of each plot was assessed in the field and placed into one of 5 categories (analogous to very high, high, medium, low, none). ...
1
vote
1answer
41 views

Estimate range of values of continuous variable corresponding to every level of discrete variable

This might seem a silly question, but I have Googled in vain for hours to find an answer, so here goes: I have two variables measuring the same physical parameter. Let's call these variables A and B. ...