Questions tagged [discrete-data]

Refers to data generated from a distribution that has a countable sample space. The discrete data tag may encompass categorical data, whether nominal (e.g. the distribution of race in a sample of individuals) or ordinal (e.g. socio-economic status), or an actual discrete random variate, such as a set of event counts (e.g. the number of errors on a page of text). Discrete data need not necessarily be integer, however.

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36 views

Rainfall duration is continuous or discrete?

Let's say I have 38 years of hourly rainfall data. The volume is hourly recorded like this ...
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10 views

How to Input to Neural Network Based on Discretely Observed Processes

I'm attempting to estimate the posterior mean for a set of parameters governing a Markov process, using a neural network to minimize squared error (and uninformative priors, along the lines of http://...
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16 views

How to approximate expectation and variance of an integral from a discrete Time series financial dataset?

I have discrete time series financial data, with time($u$), price($S$) and someVariable($q$) which looks something like this. ...
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33 views

Changing only one point of a discrete distribution to maximize variance augmentation

X has a discrete distribution with support $x1, x2, ...$ in $ {]}0,1{[}$. You have the right to change only one of the $xi$ to lead to the highest increase in variance (or, at least, a systematic ...
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77 views

discrete random effect in mixed linear model?

I need to know how I can define a mixed linear model with a discrete random effect ? I really googled trough the whole internet and can‘t find any solutions. In the general formulation its necessary ...
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69 views

How to calculate the standard error of a proportion estimate under misclassification?

Let's take a sample of size n from an infinite population. The population comes in three kinds ('red', 'black' and 'blue') and we want to know the proportions of each kind. For 'red' we would have $p =...
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39 views

Can we use a Wilcoxon signed rank test on discrete, non-normal data in a small sample size?

I am looking to validate my decision to use a wilcoxon signed rank test to test for significance in my study. Essentially, I have a small sample size (n=10) and the data is paired. I am looking to ...
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1answer
43 views

Hermite Distribution: Is Wikipedia wrong?

While clicking around in Wikipedia, I ended up at a page for Hermite Distribution, apparently a useful 2-parameter substitute for the 1-parameter Poisson distribution; for example "McKendrick ...
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2answers
19 views

Estimation of Discrete random variables

Suppose you have a discrete random variable $X_1$ with known probability mass function. I guess that choosing a variable drawn from the same pmf would be the best way to guess $X_1$ assuming all ...
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27 views

How do I make discrete predictions for discrete data that appears to have a normal distribution?

I have discrete data that comes from the distribution of a discrete random variable Y. The data appears to follow the normal distribution (ie if I make a kde plot it looks like a normal distribution). ...
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34 views

Approximate discrete data by the normal distribution before doing a statistical test assuming continuity? [closed]

I have n subjects in my experiment, repeating 3 times an action, each time resulting in a success or a failure. These 3 repetitions are IMO not independent because the subject could improve over time. ...
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17 views

Calculate the difference between the multinomial probability

I have an example data as follows: ...
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22 views

Is there a name for the probability distribution arising from the Hockey-stick Identity?

The Hockey-stick Identity: ${n \choose k} = \sum_{r=k}^n {r-1 \choose k-1}$ This naturally gives rise to a discrete probability distribution with parameters n and k, where the probability mass ...
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1answer
13 views

survey times discrete or continuous?

If I'm surveying on the times 28 students spend every day on Instagram, and the times are whole numbers such as 10, 40 mins etc, is the data discrete or continuous?
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19 views

Appropriate significance test, discrete data (3 possible outcomes) where the sample sizes are different?

I have conducted a closed-loop audit to improve vetting of Lumbar Spine X-rays received from primary care. We looked at the x-ray requests the radiology department received and vetted and classified ...
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56 views

Data analysis method for 1 independent variable and several dependent variables?

I am working on a fertilizer experiment, involving three different treatments of fertilizer. I wish to evaluate the relationship between the treatments (independent variables) with several different ...
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45 views

Positive sums of small quantities at low resolution

Many measured continuous quantities are in fact sums of discrete events measured with insufficient resolution (e.g. electric current) and thus conveniently modeled by continuous probability ...
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88 views

Given a pmf, how is it possible to calculate the cdf?

Given a pmf (probability mass function) for X (random variable): \begin{array}{|c|c|c|c|c|}\hline x&1&2&3&4\\ \hline p(x)&0.4&0.3&0.2&0.1\\ \hline \end{array} How ...
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133 views

Mapping categories of probability estimation onto a continuous distribution

I have a model for turning bookmaker odds into probabilities by removing the bookmaker's over-round. This generally works pretty well but I've run into an issue with certain kinds of markets, ...
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identify random-choosers in discrete choice data using gmnl

I read (see sources below) that one can identify "random-choosers" (or mischievous respondents) with finite mixture models/latent class analysis as a seperate class. As far as I undersand it this can ...
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25 views

Discrete weather data causing issue in predicting spatial yield

I want to incorporate the weather data into predicting spatial yield. Major data used: 4 years spatial yield data from a 10-ha crop field 4 years of daily weather data such as rainfall from a ...
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1answer
85 views

Normal V Binomial Distribution (Elementary Question)

CONTEXT: First year university statistics course exam question Suppose couples decide to have children until they either have a child of each sex, or they have three children. Assume that births are ...
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10 views

T-test for a discrete variable on a ratio scale

I have 20 students that take a test of 25 questions. I record the number of questions each student got correct (e.g., Sam = 10, Sarah = 13, etc.). My 20 students then take the test again a month later ...
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2answers
134 views

Test fit of discrete data distribution to normal distribution

Here are some grades. (They aren't test scores. They aren't a sample.) I want to test whether a normal distribution derived from the mean and variance of the grades provides a good fit for the grades. ...
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1answer
41 views

Within sample and between sample categorical variation

I don't really know the correct terminology to ask this question well, so bear with me. I have categorical data with counts and I want a measure of how "diverse" or "spread out" the data is. Variance ...
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1answer
60 views

Variance (maybe?) of categorical data

I don't really know the correct terminology to ask this question well. I have categorical data with counts and I want a measure of how "diverse" or "spread out" the data is. Variance comes to mind, ...
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26 views

“Compressing” or downsampling a discrete probability distribution

I have a discrete probability distribution $P$ which I obtained by applying a softmax transformation, with an automatically-derived exponent $-\beta$, to a set of measurements (potentially large, in ...
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1answer
36 views

How to make SalePrice as a discrete value?

The target variable, Saleprice originally is a continuous value. I calculated ...
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1answer
29 views

Probability density function and distribution from samples to population

Heya got a small doubt here most of the discrete random variables utilize simple examples of situations like 3 coin toss or 2 dice rolls or girl/boys born. These examples are simple in the sense that ...
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1answer
50 views

The sample size of sum of random variables

I was reading a paper and there was some confusing statements about the sum of two discretized independent random variables. So if X can get m values and Y can get n values then Z = X + Y could get m*...
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22 views

Fitting data to a distribution that appears lognormal without right-hump

I will like to fit a distribution and extract its moments in Python, given Length of Stay (LOS) data in hospitals. Asking out of curiosity, suppose the plot of the data looks like: The reason why I ...
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1answer
47 views

Where does the constant “B” come from in moment generating fuctions?

In my book "Mathematical Statistics with Applications" by Dennis Wackerly it's stated that the moment generating function exists if The moment-generating function m(t) for a random variable Y is ...
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1answer
42 views

What distribution would be suitable for this (discrete & ordinal) data?

I have a memory experiment where on each trial, a 7 letter scrambled word is presented, and after a delay the participant is shown the intact word and has to type the previously seen scrambled word ...
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9 views

What kind of discrete limited dependent variable regression do I need? Or other?

I have a sample of 78 scientific articles plus 385 software and data resources used by these papers. Each paper has between 1-26 such resources. Sometimes, the creators of software/data will request ...
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1answer
62 views

Correlation between discrete and continuous data

I would like to caculate the correlation between two vectors. One vector represents the intensity of an emotion as continuous data between 0 and 100. The other vector represents the intensitiy of an ...
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19 views

Is is possible to estimate a mixed logit model with only individual specific parameters?

I am analyzing some data and I do not have any alternative specific variables in the dataset. The question is about the preference between taxi, uber and automated vehicle if all three have the same ...
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94 views

Interpretation of marginal effects multinomial logit R

I'm not really sure how to interpret marginal effects when calculated with mlogit and effects function from R Here is the code ...
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56 views

Kullback-Leibler divergence Loss With different-length vectors

I am new to KL Divergence Loss (and indeed all similar comparisons between discrete series data). The output of my network produces a series of tuples of a length that varies during training. The ...
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2answers
110 views

Applying TF/IDF to non-text data?

I have a classification problem in which I am supposed to predict the end state of an object based on a set of events it experiences. There are about one thousand possible events and each object is ...
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1answer
47 views

Linear regression vs contingency table for poll results

Let's assume we made a survey where participants had to evaluate us on a scale from 1 to 5. We want to analyse how different variables (let's say gender or age for instance) have an effect on the ...
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1answer
934 views

Python: compare 2 discrete distributions

Lets say I have a population consisting of items A, B, and C. I dont know the distribution ...
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68 views

Correlation between discrete and binary variables

I have a binary variable representing happiness. This variable can take binary values of 0 (not happy) and 1 (happy). I have another discrete variable representing valence (representing if emotion is ...
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3answers
156 views

How to test for statistical difference for discrete data

I'm designing an experiment to evaluate reagents used to develop fingerprints. There will be a variety of objects with different surfaces, 2 different reagents, 3 different fingerprint donors (prints ...
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1answer
188 views

Discretization simulation of a Wiener Process

I got some problems with this homework which I have totally no idea, never got into this field before and I really need some help. First, we have a wiener process like Which means the probability of ...
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1answer
84 views

Checking assumptions for Mann-Kendall trend test

I have a data on counts of images submitted with requests overtime. I would like to test the null hypothesis of no trend vs alternative hypothesis that there is a downward trend. My data is a ...
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1answer
84 views

nested logit with individual level fixed effect (panel data)

As is stated in the title, I have several questions concern the combination of nested logit and panel data. 1, Can we run nested logit with the individual fixed effect? this is useful when one has ...
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1answer
21 views

Fitting a continuous normal distribution to an incomplete score distribution

Given a sample of data that contains only the score frequency distribution for scores below a certain threshold, is it possible to fit a complete normal distribution so to estimate what the will be ...
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1answer
31 views

What is the best approach to transform scale from 1 to 10 into three categories?

I want discretize my attributes according to the class quality which is the output variable. quality ranges from 1 to 10 in my ...
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1answer
222 views

Levels of measurement and discrete vs continuous random variables

In psychology studies the levels of measurement of variables that are investigated limit/influences the statistical tests that should be performed such as explained here: https://www....
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1k views

Can the discrete variable be a negative number?

I read in a book "An Introduction to Statistical Concepts [3 ed.] p.8): A numerical variable is a quantitative variable. Numerical variables can further be classified as either discrete or ...

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