Questions tagged [range]

range is the difference between the largest and smallest data value.

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14 views

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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1answer
47 views

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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1answer
42 views

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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20 views

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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2answers
64 views

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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1answer
24 views

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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1answer
34 views

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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1answer
54 views

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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1answer
12 views

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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1answer
235 views

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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14 views

Calculating spread (standard deviation or CV) for ranges of values

Due to data suppression/confidentiality, I only have ranges of values, not individual data points. I have the sample sizes, the percentage of acres that receive ranges of fertilizer application rates, ...
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2answers
87 views

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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8 views

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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2answers
37 views

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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1answer
463 views

Calculate mean from range

Suppose we have data points like How can we calculate mean from this dataset
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90 views

What is the distribution of sample's range, obtained from a normal distribution?

Let $x$ is a normally distributed variable: $x\sim N(\mu,\sigma$). I wonder, the distribution of the range. I mean, let we have a sample(let size $n$) from the above distribution. Let define $...
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1answer
199 views

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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1answer
135 views

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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1answer
25 views

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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3answers
1k views

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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0answers
188 views

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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62 views

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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1answer
33 views

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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1answer
415 views

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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2answers
100 views

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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1answer
2k views

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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1answer
101 views

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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3answers
935 views

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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1answer
329 views

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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21 views

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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1answer
579 views

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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1answer
98 views

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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1answer
78 views

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 rangge of 1-7. Is it inadvisable to use Pearson correlation to study a ...
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1answer
721 views

multivariate normal distribution range [duplicate]

Simple question about MVN pdf. I understand the domain to be [0,1]. However, why does scipy.stats.multivariate_normal.pdf output values above this range. E.g. <...
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136 views

How is this mean scale score range calculated?

I have the attached report for a standardized test (data in the report is simulated). I'm wondering how the column Mean Scale Score Range is calculated. Do the lines indicate the limits of 95% of ...
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1answer
12k views

Normalize an array of numbers to specific range

How can I normalize an array of values (e.g., {0, 3, 4, 7, 9, 13, 22}) to a range of [12, 24]?
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1answer
30 views

Mean nonequality test if data are intervals

If $X, Y$ are two sets of observations of two random scalar (univariate) variables, one can determine if the expected values of the two variables are unequal, with appropriate tests. My question is: ...
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1answer
3k views

What is meant by the interquartile range of ordinal data?

It is commonly said that the interquartile range (IQR) is suitable to describe ordinal-, interval- and ratio-level data (one of many examples found on the Internet). But calculating the IQR includes ...
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2answers
290 views

Does changing the point range of items of a construct measured through likert scale affect in any way validity and reliability of the construct?

I am using a pre-existing universal tested scale to measure a specific construct. The construct is measured through 5 items on a 5 points likert scale. However, I would probably need to change the ...
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64 views

How to create a dynamic range?

I have data for the entire last year. It is simply a value of a variable for every minute, grouped by days. What I need to do is take all this data and define a dynamic range - that is, define two ...
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291 views

Comparing ranges of different groups

I have data that's like as follows $A : 133-134$ $B : 131-135$ $C : 135-148$ I have to check if $A$ is more "similar" to $B$ or $C$ where similarity is defined as smallest "distance" between the ...
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4k views

How to normalize data using Interquartile range?

I am trying to normalize a dataset using the Interquartile range (IQR), I've already gotten the value of IQR, which is Q3 -Q1 (difference between 75th and 25th percentiles), what should I do then? For ...
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2answers
2k views

Why does Mean deviation = Standard deviation = Range/2?

We know that mean deviation and standard deviation are two different things but why are both of them equal to Range/2? Range ($R$) = Highest value - lowest value Mean deviation ($\text{MD}$) = ...
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1answer
16k views

Calculating Range based on Mean, Standard Deviation and Varying Sample Size

I have recently began studying statistics with my learning material being a book on "Basic Statistics for the Behavioral Sciences by Kenneth D. Hopkins and Gene V Glass (1978)", and so far I have ...
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0answers
383 views

Using Regression to predict target variable of small range

I am using Random Forest regression (of scikit-learn). In the train set, the target variables only range from 1-6 ( & they can meaningfully, only be integers, in my case). The target variables are ...
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0answers
914 views

Finding the upper limit of range for standard deviations

A very basic question - from someone who last studied Maths 25 years ago and has forgotten more then he ever learnt! I have a data set of weekly sales for products, and wish to determine what stock ...
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1answer
228 views

Constraining a model to output only a range between 1 to 100 (without using logistic regression)

Currently, I am modelling the results of game theory experiments where two parties negotiate to divide a fixed sum of money between themselves. Y is recorded as the percentage of the money which the ...
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20 views

What all can be found from the given information?

Sums and products of every pair of n numbers are given, however it is not known as which pair's sum and product they are. From this information we can find: a) Mean of the n numbers b)Variance of the ...
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2answers
2k views

Calculating the variance of a truncated normally distributed RV given the prob. of a range

Let's say that I have a Truncated Normal Distribution (from a to b) with mean $m$ (where $m$ is the mean of the truncated Normal) and not known std. I know the probability for the range $m-d$ and $m+...
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94 views

Convert Probability of Landing in Range to Log Normal Probability Distribution

I am working on a dataset that shows the probability of the FOMC Fed Funds Rate being in a specific range after a future FOMC meeting. The probability is based on a log-normal distribution (bounded by ...