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Questions tagged [descriptive-statistics]

Descriptive statistics summarize features of a sample, such as mean and standard deviations, median and quartiles, the maximum and minimum. With multiple variables, may include correlations and crosstabs. Can include visual displays - boxplots, histograms, scatterplots and so on.

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Descriptive statistics for complementary random variables

I have two datasets, each one contains 157 images of microscopic field processed with a different preparation tecnique. My task is to show if there any differences like cells density, distribution and ...
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Can you save the output from a “summarise” function in R? [on hold]

I have imported a data frame, and I have grouped the table by two variables using group_by(). I have then used summarise() to extract values (sum, mean), and I would need to work on the output (the "...
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How to interpret ACF/PACF plots? [on hold]

These are the plots I've generated, but I'm a bit lost in how I actually use this to tell me something about my time series. I'm looking for information about seasonality, goodness of model, ...
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What does range in descriptive statistics mean

What does high range in my variable mean??. If I have a variable whose range is less ,what does it mean??
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T-test unknown or known standard deviation?

One week ago I performed the following two experiments: 1) I made a tensile test on 30 steel wires. These wires have not been through a surface treatment. The maximum load is (in average) 28 Newton, ...
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24 views

How to calculate weighted average of hourly sales in a day

I have hourly sales data & want to aggregate it to a day level. Out of 24 hours, we are classifying 6 hrs as peak hours and 18 hrs as non-peak. Assume peak hr sales for a day as: $X_1,X_2,\ldots,...
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What numerical measures can I use for charts representing age? I.e. mean and standar deviation or 5 number summary [on hold]

So I have a histogram showing ages of random people in a setting, I'm having trouble figuring out which numerical measure to use since I was under the impression that age was categorical.
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10 views

Correct order for computing standard error of the mean of means

Good afternoon, I read some related questions but there is still some things I can't quite wrap my head around. Let's say I want to average some time series over X subjects, Y channels, and, ...
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25 views

Unit Root Testing

I am having some troubles with the unit root test. The are some concepts that I do not fully understand. Could you please tell me if what I write in the following four passages is correct? I am new to ...
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Impact evaluation statistical technique

I am new to much of the impact evaluation world and trying to learn it on my own from the internet. I am looking for some advice and help from some of you on a study I am conducting. It is a small ...
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53 views

Statistical test for multiple reponses?

I ran a survey and one question was to indicate which accommodation (hotels, apartment, b&b, ...) respondents prefer when travelling. Thery were allowed to select more than one option. The survey ...
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How to make sure if the residuals are normally distributed? [duplicate]

Hello, I have a fairly big dataset containing 11000 data points. I am doing a ANOVA for my traits. But before that I have to make sure if the residuals are normally distributed or not. So, I did a ...
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How to infer the distribution of a statistic (Bayesian inference?)

I have a list of approximately 30,000 venues in a major US city. These venues hold all kinds of events, sports, conferences, concerts etc. I want to know the distribution of the 'capacity' of these ...
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Coeffcient of variation(CV) with time

I am using an equation that predicts chloride content in concrete at a certain time. All my parameters are random variables. The problem is that as time increases my mean increases and standard ...
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Descriptive text from non-standard quantile plot [closed]

I don't think this type of plot has a name, but as the legend shows, the shades of gray represents the quantile distribution of repeated temperature measurements, taken on the same calendar day over ...
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Likelihood of an event based on Confidence limits

A simple problem I can't figure out. Suppose at confidence level 99.9, there is a likelihood of loss in a 1 in 1000 years. What is the likelihood of loss if confidence level is 60? Any idea how to ...
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24 views

Identify and remove false positives

I have a set of points that represents events in a process, some of them are false positives. Visually, the false positives are kind of isolated from the rest, as you see in the image. Is there a way ...
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How to compare or evaluate different ratings

First of all, I would like to state that English is not my first language so apologize me if I use the wrong terminologies. In our company we collect reviews for our branches, so after each client's ...
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How to automate time series analysis/monitor (descriptive)?

For example, here is a traffic graph from google analytics: You can see that first there is a spike, and then a long plateau time, and then increase to a slightly high stage (but more volatile), and ...
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20 views

How to interpret a negative intercept with summary lmer?

I found a negative intercept in the fixed effect of the summary of my model and I do not know how to interpret the results of the variables. Here is my model : model_velocity_HL <- lmer(PC1~HL*...
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22 views

A good measure for skewed values

I have a table with the list of values as shown below. A Model Number is like a parent Disease. The below table can be read as Patients under Model Number 200(Stroke) are 2.456 more likely to have ...
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Pooling descriptive statistics of categorical variables after multiple imputation

I am doing multiple imputation using the MICE package on R. My dataset consists of both categorical and continuous variables. After doing say 20 imputations, how should I go about pooling together the ...
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2answers
66 views

Mean and variance of $Y = \cos(bX)$ when $X$ has a Gaussian distribution

How can we find the mean and the variance (not using a software tool) of $Y = \cos(bX)$, when $b$ is a non-zero constant and $X$ has a Gaussian distribution?
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Choosing appropriate statistical tests

I am trying to run stats on medical treatment data and would like your guys and girls help Goal: Comparing two trends of annual percentages for statistical significance. Is one decreasing due to the ...
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Comparing the First Names in two population samples

I'm not great at stats and hope for a bit of help ... I have two sets of peoples first and last names the first group has about 5000 unique first and last names and the second about 300. When I ...
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1answer
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Creating a custom metric based on diverse feature scalse

I would like to create a custom metric that takes into account multiple features and produces a certain score. However, the issue is that I have data that has many different data types, such as ...
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1answer
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Linear Regression confidence interval bounds

When performing a linear regression we first get a slope and intercept that is the best fit. How do we compute the confidence interval for predicted values? Here's an example: ...
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34 views

Geometric mean and geometric standard deviation

When summarizing normalized data (for example, percentage data), one must use the geometric mean instead of the arithmetic mean. Thus, instead of using the arithmetic standard deviation, one shall use ...
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1answer
35 views

Clustering in real life world problems

I have a dataset related to real estate Market with features as price, area, number of bedrooms, bathrooms, and zip code. I want to group them in 4 different groups for each zip code. So, I used k-...
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1answer
23 views

Standard normal distribution vs Unit normal distribution

Are the Standard normal distribution and Unit normal distribution describe exactly the same? Or they describe different things?
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Comparing treatment outcomes

I am a statistics noob, my field is medicine, so I'm hoping someone can help me with this: I came across the following problem: "Researchers found that at the end of a 5-year study, 34% of the ...
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Cluster analysis: descriptive analysis of clusters

For my thesis I do research about the use of Optimal matching to have a look at learning patterns of college students. I have a look at the results they receive each year. After the optimal matching I ...
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Comparison of discrimination tests using, Thurstonian model and its d -values

The task is to measure two discrimination test methods "triangle test and tetrad". In both methods the possibility to guess correct is (1/3). In my study I used Chi square test to analyse data. ...
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1answer
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Standardization of Data

I have a dataset which consists of Sales for Product1 and Product2. It also tells if the <...
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A descriptive geographic statistics, or descriptive arithmetics question

[Please point me to a more statistical/arithmetical part of stack exchange if there is one. I can't find it] Country A has 16 million inhabitants and 2.000 MW of solar panel generated power, also a ...
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Is a rolling $z$-score a good proxy for a derivative?

Given a time series $\{V_t\}_{t=1}^{n}$, where $t \mapsto V_t \in \mathbb{R}$, I want to have some smoothed notion of the "derivative" of this time series. It was recommended that I look at $$\tilde{...
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Real (not rounded) Lower and Upper limits of groups of frequency distribution and Median for infinitely continuous data

From here on page 5: https://www.pbarrett.net/techpapers/percentiles.pdf So how can both be correct – yet seem to be more appropriate under different conditions? The clue is spread throughout the ...
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Confused about the statistical tests to choose or any transformation to apply

I am new to the stackexchange, so please forgive me for my editing ignorance. I am confused and stuck about how to proceed further with my data. I have the following data ...
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1answer
19 views

How to calculate mutual information between a feature and target variable?

Mutual information measures how much information the distribution of one variable provides about the distribution of another variable. In my case, I have samples of a feature variable $X \in \mathbb{...
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Given an average and a maximum, how determine the minimum range

Suppose that we have $k$ non-negative values. We know the average $A \in \mathbb{N}$ of these values and we know that the maximum value is $M$ (not necessarily $\in \mathbb{N}$) we don't know the ...
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Difference between a mixture model and ensembling

Can someone explain to me the difference between a mixture model and a model ensemble? It seems both of them incorporate multiple models.
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2answers
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estimate mean and standar deviation from proportions

I have normal distributed data but i don´t know the mean neither the stdv. What i know is that 67.9% of my data points are below 2500g and 0.21% are over 3000g. How can I estimate the mean and stdv ...
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1answer
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Uniform distribution of p-values

I have a question regarding the distribution of p-values. http://varianceexplained.org/statistics/interpreting-pvalue-histogram/ In this article it says that under the null hypothesis the ...
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1answer
42 views

Can you statistically compare one subset of a population with the whole population?

I have data (total $n=90$) from a district of testing scores from $3$ subsequent years. I would like to compare MY school to the other schools, but I do not know which schools the other participants ...
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1answer
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What interesting data manipulations can be done over 70x5 data points in a school context?

TL;DR: I am looking for ideas for a school assignment in basic statistics. Context: My son (14 years old, French class 3ème, equivalent to 9th grade) got a group assignment in Mathematics. They ...
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Statistic to measure no.of cancelled members

These percentages indicate how many male vs female members cancelled a subscription we offer. Male Female 22% 13% Looking at the ...
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1answer
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Is attempting to discern gender discrimination in a distribution descriptive or inferential?

Let's say I have a given sample population $P$, that describes the traits of a group of people as a predictor variable, and whether or not they are CEOs as a response variable. I am trying to ...
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1answer
28 views

Summary statitics to describe topic x term distribution in NLP

I created a topic model which outputted 11 topics out of 437 terms on ~60000 small documents. I wanted to show how good each topic is. But I don't know what "good" means in this case. Here's the ...
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Sub-group's contribution to a group's mean

I have a statistics 101 question, which I hope the community can help me with. Is there a statistic that summarises a sub-group's contribution to a group's mean? For example, given the following data: ...