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

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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27 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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20 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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33 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
70 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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23 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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30 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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42 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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31 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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37 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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14 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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21 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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45 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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16 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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70 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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49 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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32 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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22 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
42 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
27 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
58 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. ...
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74 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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46 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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79 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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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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41 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 ...
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407 views

How do you plot an interaction between a factor and a continous covariate?

I would like to plot on the same graph the interaction between my continuous predictor and my categorical moderator. I know how to do it when both are categorical (factor interaction), but don't ...
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226 views

For a continuous random variable, why does $P(a < Z < b) = P(a \leq Z < b) = P(a < Z \leq b) = P(a \leq Z \leq b)$

My textbook puts this in a sidebox with the heading "Note" and doesn't explain why. Could you tell me why this statement holds? $P(a < Z < b) = P(a \leq Z < b) = P(a < Z \leq b) = P(a ...
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74 views

In order to log transform data, must both your x and y axes be continuous data?

I am trying to do statistical analysis on data where my x axis is categorical. I have five different treatment groups on the x axis. My y axis is continuous (mRNA levels of a certain gene responding ...
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26 views

Compare regressions among more than 2 groups

I would like to know if there is a way to compare the relationship between a factor (length) and a response variable (lipid content) among multiple groups? I have given up on ANCOVA, as length is ...
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36 views

Fitting a “pseudo” discrete dataset

I'm working with a dataset that contains information about consumption of apples. The dataset contains the amount of apple consumed in g/day. The problem with this is that the data points fall into 3 ...
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238 views

How to correctly assess the correlation between ordinal and a continuous variable?

I'd like to estimate the correlation between: An ordinal variable: subjects are asked to rate their preference for 6 types of fruit on a 1-5 scale (ranging from very disgusting to very tasty) On ...
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19 views

Likelihood of Conditional Grouped Continuous Model

I would like to find MLE of the likelihood above by using optim function in $R$. However, I couldn't understand the terms. I couldn't write the likelihood in $R$. I have the data given, some of ...
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19 views

Is a bounded normal distribution the same as a poisson distribution (for continuous variables)? [duplicate]

Lets say I have a normal distribution of estimates (e) for a random variable (v). At some point an event occurs where the value of the variable becomes known (v). Now I want to find a new distribution ...
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36 views

Truncated Explanatory Variable

I am running a model where one of the explanatory variables is truncated. In particular, the variable measures the duration of unemployment (retrospectively) in months and it is truncated at 2 years, ...
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42 views

Multinomial regression analyses

My dependent variable is categorical (with 3 levels) and my predictor variables are a mix of continuous (age in months, test 1 score, test 2 score, test 3 score) and categorical (gender). I believe I ...
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123 views
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30 views

General location model

Let $Z_1$ and $Z_2$ be categorical random variables with $3$ and $2$ categories, respectively. Let $Y_1$ and $Y_2$ be $2$ continuous random variables. Define completely the GLOM (general location ...
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54 views

Suppose X and Y are each continuous. Are they jointly continuous?

My question is in the title. I do not think that X and Y are jointly continuous but I cannot think of a counterexample where x and y would not be jointly continuous.
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71 views

Hoops in a Field

I have a simple question, but I haven't been able to find the answer I'm looking for anywhere. I'm sure there is some simple theorem or distribution that tackles this problem, but it evades me. ...
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451 views

Correlation coefficient for non-dichotomous nominal variable and ordinal/numeric variable

I've already read all the pages in this site trying to find the answer to my problem but no one seems to be the right one form me... First I explain you the kind of data I'm working with... Let's ...
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13 views

Combining evidence from continuous classification

I am trying to predict expert ratings. They were asked to assign confidence among five possibilities: variables t1 through t5. ...
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56 views

Bayes Theorem for Continuous Value Attributes

I need any solved example/data set which explain how to apply Bayes Theorem for continuous value attributes. I read the book (Machine Learning by Tom Mitchell) and found this equation. But I need some ...
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1answer
83 views

continuous response variable with lots of zero values

I'm trying to determine the effects of four treatments on flowers on the volume of nectar available to pollinators. Problem is, I have about 50% zero volumes across treatment categories. What is the ...
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93 views

Coding infuriating blanks in continuous data when doing a regression

I have blanks in my continuous data as the title says. I'm trying to do a pretty complex regression. I don't want to really mention exactly what type as I'd rather leave that detail out for the sake ...
5
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3answers
487 views

How to interpret a hazard ratio from a continuous variable — unit of difference?

I am reading an article which shows Hazard Ratios for continuous variables, but I'm not sure how to interpret the given values. My current understanding of hazard ratios is that the number ...
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105 views

Testing if treating a categorical variable as continuous is okay

Pardon me if this is a simple question, but I haven't found a great resource for this just yet. Yes, I know that when possible, we should try to treat ordinal variables as categorical rather than ...
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59 views

Classification model to predict continuous classes

Is it possible to create a classification model which can predict continuous classes, like a number? So far I've working with predictor which can predict one of two classes. I've searched about it ...
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187 views

Show that $E(x)=M'_X(0)$, where $M'_X(p)=\frac{dM_X(p)}{dp}$

I am going through some more exam practice questions for my stats class - Here is the complete question, it has two parts: Let $X$ be a continuous random variable with known probability density ...