Questions tagged [range]

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

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what metrics to use to estimate accuracy of range prediction?

I trained a model that predicts customer's income given the features: age, declared income , overdue total amount active credit limit, total credit limit Metrics used: NIRDM - not in range distance ...
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41 views

Calculate mean from range

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

MLE of a parameter that lies in a certain range [duplicate]

Suppose $X1$ and $X2$ are iid Bernoulli random variable with parameter $p$ where it is known that $1/3<=p<=2/3$. Find the maximum likelihood estimator $p*$ of $p$ based on $X1$ and $X2$. I could ...
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30 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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64 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
46 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
19 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
224 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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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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How to estimate number of views when supplied with lower and upper limit only, for Poisson-like data?

I'm looking at some Facebook advertising data. It has a row for each ad and the upper and lower bounds of the impressions for that ad (i.e. number of times it was displayed). For example: ...
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24 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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107 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
32 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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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
40 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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301 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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114 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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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
241 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
44 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
56 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
469 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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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
8k 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
29 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
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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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1answer
105 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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48 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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128 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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3k 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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1k 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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11k 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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328 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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648 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
110 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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19 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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4k views

Beta Coefficient range

Is there a table of range for beta coefficients used in multiple linear regression that we can use to interpret if influence is strong, very strong, weak or very weak. Thanks!
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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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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 ...
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1answer
2k views

Normalization when Max and Min Values are Reversed

I'm running an experiment where I'm continuously sampling from a dial hooked into a physiological recorder as a hack because the dial won't interface with the equipment we're using any other way. By ...
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4k views

Median > Mode > Mean > Range

My question is: Is there a set of data which allow the median to be larger than the mode, the mode to be larger than the mean and the mean to be larger than the range? If so, is there a pattern, or a ...
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Distributing uniformly N values into P classes

I'll try to briefly explain my need. I have N values and P classes. I need to calculate the boundaries for each class such that ...
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3answers
1k views

How to judge skewness based on the mean and range?

Is there any rule of thumb to judging skewness of data based on its mean and range (max-min)? I found such implication in one of the papers I'm reading and I can't see why it would be obvious. The ...
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1answer
323 views

Poisson Ranges for Small Numbers? [closed]

I came across a presentation from a major university on R and Monte Carlo simulations. It mentioned that if you wanted to create ranges for numbers you are going to use in a Poisson distribution, you ...
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1answer
124 views

What method can be used to evaluate distribution from observations given by their bounds (ranges)?

A standard problem of statistics is to evaluate statistical properties (mean, variance, probability distribution) from a set of numerical observations. However, in some cases instead of having ...
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114 views

Adding an id variable in a linear model causes small coefficient and strange range of fitted values

So I'm trying to construct a linear model on a data set and the data set has an id variable that is a school id. The data set measures (or i.e. the response is) ...
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215 views

How do I calculate an unbiased estimate of the standard deviation, knowing only the degrees of freedom

I have $k$ groups of $m$ independent samples from a standard normal distribution. The groups are averaged as $K_1$ through $K_m$ the total number of samples is then $mk=n$. I also have the range of $...
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1answer
2k views

How to determine population range based on a sample

How to determine the range of values of the population (with some confidence, e.g. 95%) based on a sample? I thought about one approach to follow the 68-95-99 rule, based on population mean estimate ...
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1k views

Is there a relation between sample size and variable range?

I have done simulations with different sample sizes of a normal distribution (mean=0, sd=10) and plotted the number of samples against statistical parameters. I understand that the relation of sample ...