Questions tagged [range]
range is the difference between the largest and smallest data value.
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Transform data domain and maintain mean
I have a dataset, $y$, that is on some arbitrary range. I would like to transform this data to be on the range [-1,1]. This is accomplished using a linear transformation, such as the one described ...
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Is the variance a suitable measure of variability in this context?
A rather basic question, prefaced by the fact that I know just enough about statistics to be dangerous.
I work with Air Force Technical Training. I am trying to compare the ebb and flow of students ...
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How to set the age range, median, and mean age
Thank you for reading my question.
I used the clustering method to classify the age of the houses.
This graph show the clustered results.
I should to get the age range, mean age, and median age for ...
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Interquartile range when back-transformed mean on log-scale is not equal to median on normal scale
I have 2x10 observations that follow a non-normal distribution. They are perfectly distributed on log-scale.
From what I've learned, the back-transformation of the mean on log-scale should be a "...
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Asymptotic efficiency of IQR
I was wondering about the asymptotic efficiency of the Interquartile Range (IQR) in the Gaussian case. I have calculated it empirically using a Monte Carlo estimator, and it appears to be equal to ...
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Scale Range Question
I have a very simple question for those who are familiar with scale ranges. I am interpreting a psych assessment taken for an assessment class. The assessment includes 24 different wellness scales. ...
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Variance low and ceiling effect - split by median`?
I heard that a sufficient amount of variance/heterogenity is needed in order to get reasonable results for a correlation test.
Why is that and what solutions exist when variance is too low?
Is ...
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what do we mean by range in descriptive statistics?
The definition of the range has been given as the difference between the largest and the smallest value of the distribution. This, in my perception, tells us the discrepancy between the smallest and ...
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Hypothesis test for proportion falling below a threshold
Let's assume the following Null and Alternative hypothesis of a proportion:
H0: $p < 0.01$
H1: $p \geq 0.01$
Generally, in ...
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How to scale different values to same range?
I'm facing a problem. I have several numerical values in the range from 0 to 1, let's call them "r_i".
Then for every "r_i" I have a threshold "e_i", like a percentage ...
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How should I estimate the variance in a sample or population from the sample range?
Suppose I wish to know the variance within a sample or of the population from which it is drawn. However, I do not have true measurements for most of my "observations". Think of them as like ...
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Estimator for Range (Length of Stay )
I have sample data ad I want to test the claim that the mean length of stay is 7 days. Data is give as pairs ( Arrival Date, Departure Date) , each date given as the nth day of the year, e.g., Jan 3 ...
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correlation within a limited range
How does one interpret a correlation that does not appear until an asymptotic point? For example, in the graph below?
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Is there a meaning to the integral of $x \times f(x)$ over a range that is not infinite?
I know that the expected value can be computed as :
$\mathbb{E}(X) = \int_{-\infty}^{\infty}xf(x)dx$
What if we do not do the integral over the whole range but only up to some value? Would there be ...
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How can I find the start of a range in an automated way?
I am looking at real estate sales data for different regions. I bin the data by sold price range in 1000 increments (see below). I am looking to find the start of the price range or cluster in which ...
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Show that Sample Mean and Sample Range are independently distributed for a random sample from Normal Distribution
Let $X_{1},\ldots {, X_{n}}$ be iid random variables with $X_{1} ∼ N(µ,\sigma ^{2}).$Let $\bar{X}= \sum_{i=1}^{n} \frac{X_{i}}{n}$, $R=max_{1\le i \le n} \{X_{i}\}$-$min_{1\le i \le n}\{X_{i}\}$.Show ...
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How did Acheson Duncan calculate degrees of freedom for ranges in his d2* table?
As found in Acheson Duncan, Quality Control and Industrial Statistics (and earlier), there is a table for d2* for estimating the variance from the range based on the number of subgroups and the ...
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Asymptotic value of an integral related to distances in a unit n-ball
In trying to find out the pdf of the range $T$ of euclidean distances of $m$ randomly and uniformly chosen points from the origin in an $n$-dimensional unit ball, I have obtained the following :
$$...
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Estimators for range and nugget parameters extremely correlated
When fitting a generalised least squares (GLS) model to a spatial dataset, I was surprised to find how correlated the estimators for the range and nugget are. I was assuming a covariance matrix $\...
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Expanding range of data (for PCA)
I am interested in computing 5 indices of structural connectivity between 116 different brain regions, and their associations with behavioural performance. I plan on using prinicipal component ...
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Determine what range represents 95% of a skewed data set
I have a set of reference wetlands and experimentally manipulated wetlands and I am comparing many water quality variables between them. My thought was to first identify which of the manipulated ...
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Can you recommend neural network suitable for finding minimum and maximum of numbers in list with some noisy data?
Let's have a list of integer numbers. These are generated about some "center" value with some tolerance +/-. I call this the "range". Also - there is some noise - the numbers are ...
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Practical use for heritability value at sub-population level?
For me as a layperson, heritability is something that much smarter people than me calculate, and there are several questions already on the forum about how to do that (eg, this and this). I ...
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How to "squish" a range of numbers to the same spread between 0 and 1
So I have a range of numbers that I need to "squish" into values between 0 and 1 - where lowest value is zero and the highest is 1. I need preserve the ratio.
For instance. If I had these ...
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Given the range $R$ of $n$ data points, what is the range of these points' standard deviation? [duplicate]
Given the range $R$ ($= max - min$) of $n$ data points ($x_1, x_2, ..., x_n$), what is the range of these points' standard deviation $\sigma$? It's easy to see that the min value of $\sigma$ can be $0$...
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How to find the bound of a time dependent variable?
I am working on modeling my problem statistically and I need to Know the bound or range of my variable. It is a time series variable position(t) where
position(t+1) = position(t) + a.X - (1-a).Y
a is ...
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Why won't my xgBoost regressor predict above a certain value, even though it sees higher in training?
I have created my first xgboost regressor. I input some self collected data, which I scale using sklearn's standardScaler. The model is trained on approximately 25,000 samples, and then tested on ...
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In computing the range of raw scores, if the lowest value is 0. Should I still use it as my lowest value to find the range?
My professor gave us the raw scores. We need to find the range. The highest value is 93 and the lowest is 0.
Here's the raw scores
66,85,40,5,12,12,18,23,1,15,1,6,81,50, 21,0,27,5,13,0,24,22,5,1,32,12,...
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Why do we add an extra decimal place when we calculate the range in statistics?
From Mario Triola's textbook:
I understand that we add a decimal place when we calculate the median (it is possible to have (a+b)/2 ). I absolutely do NOT understand why we do that when we round off ...
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Marginal distributions given the distribution of range
I'm working with an upper diagonal distribution whose distance from the diagonal is Lomax Pareto (Type II) distribution.
The distance of a point from the diagonal line y = x is $\frac{\sqrt{(x_0-y_0)^...
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How do I properly weight an uneven (spacing) distribution of the numbers? [closed]
I have a set of numbers (depths actually) and I need to take the mean of another variable over these depths. For example, take the mean of temperature over a range of depths, however these depths are ...
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Descriptive measures
What is the percentage of people who earned between Rs 75 and Rs 125? If the given frequency table is below:
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Calculate mean from range
Suppose we have data points like
How can we calculate mean from this dataset
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Any other way to calculate range of transformed variable?
I have been doing questions related to transformations of 2d random variables.
In a question I have to find a range for
$$u = (x-y)/2
$$
and
$$v = y
$$
where $x,y > 0$
So is it necessary that ...
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Unbiased estimator of standard deviation
I'm reading "Properties of range-based volatility estimators" where the authors talk about using the range of a distribution ($h$ - $l$) to estimate its volatility. Specifically, they say,
Daily ...
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If a false positive rate of α is desired, what is the acceptable range of false positives one would expect from a sample size of n?
For instance, suppose I design a test to have a false positive rate of 5%. I am going to perform this test on what is assumed to be an all negative population. If my sample size was 20, I would expect ...
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Find Q1 and Q3 from median and IQR
A study gives the following:
$n = 67$
mean = 73
sd = 68
median = 55
IQR = 66
Is it possible from this information to get the actual Q1 and Q3 values? I used the $n$, mean & sd to get 95% ...
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Convert negative to positive percentage range into 1-10 scale
I know how to convert a range of positive % numbers into any positive integer scale, but am having trouble figuring out how to do it when my % range includes negative %s.
Example:
I have the ...
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How to scale data to desired range? [duplicate]
I have a table with 3 columns X, Y and Z with n rows.
The range of the data is 0-255. But I wished to scale the values such that the range becomes from -p to +q (where I decide p and q). I randomly ...
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What are the broadest class of distributions for which the range statistic is ancillary to the expectation of the random variable?
Let $X_1,X_2,X_3$ be iid random variables such that $E(X_1)=\mu$
Define $X_{(3)}$ and $X_{(1)}$ as the maximum and minimum order statistics respectively.
I know that if $X$ is normal, $R=X_{(3)}-X_{...
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Distribution of ranges of normally distributed variables
I have four independent variables $x_i$, each of them normally distributed with $\mu = 0$ and $\sigma = 1$. What is the distribution of the range of the four variables, i.e., $\max(x_i) - \min(x_i)$?
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Statistical dispersion metric for single extreme value
I have around a million sets of 8 datapoints. I would like to rank these sets of 8 data points. I am trying to identify sets where there is a single extreme value and the other 7 datapoints are of ...
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What is the name for the average of the largest and the smallest values in a given data set?
What do you call a statistical mean that is calculated from upper and lower extremes in any given dataset?
For example, if you have a set:
...
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Expected value of CDF evaluated at sample min/max, with respect to sample size
I've been using simulation to investigate the behavior of cumulative density function evaluated at extreme values of a sample.
Functionally, my study has $n$ instrumented fish migrating downstream ...
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How to calculate a confidence interval for a series of Bernoulli Trials?
I have to test if a event have a p probability of happening. I can run this event as much times I like (given it can be run by a computer). So I was searching a way ...
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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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Newbie wondering about standard deviation and how to detect outliers in new datapoints
So I have a dataset, with the count of records processed per day in each, e.g.
| 27th April: 3491 | 28th April: 2058 | 29th April: 9321 | 30th April: 1021
I want to be able to take a new day's count ...
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Significance of correlation with range restriction in x
Background
Range restriction can happen in various study designs and it affects the results of bivariate correlation or in multiple regression, for example. In some cases the range restriction may be ...
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Name for Standard Deviation over possible range (1-255)?
I have RGB brightness values over a possible range of 1-255. I am already computing Coefficient of Variation, but since my domain is strictly limited, I am interested in seeing a measure of how spread ...
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Correlation with small range of data
I have two count variables. I want to calculate a Pearson correlation between them. However, one of the variables only has a range of 1-7. Is it inadvisable to use Pearson correlation to study a ...
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