Questions tagged [range]
range is the difference between the largest and smallest data value.
70
questions
1
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1answer
61 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 ...
2
votes
1answer
37 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 ...
0
votes
1answer
17 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 ...
2
votes
3answers
137 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% ...
0
votes
0answers
24 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 ...
0
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0answers
28 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 ...
0
votes
0answers
6 views
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:
...
1
vote
1answer
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_{...
3
votes
1answer
97 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., $\max(x_i) - \min(x_i)$?
...
3
votes
2answers
30 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 ...
14
votes
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:
...
1
vote
1answer
32 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 ...
3
votes
3answers
241 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 ...
0
votes
1answer
100 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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0answers
19 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 ...
1
vote
1answer
209 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 ...
0
votes
1answer
42 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 ...
0
votes
1answer
49 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 ...
1
vote
1answer
426 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.
<...
0
votes
0answers
81 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 ...
1
vote
1answer
6k 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]?
2
votes
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: ...
3
votes
1answer
1k 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 ...
2
votes
1answer
102 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 ...
0
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0answers
42 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 ...
0
votes
0answers
99 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 ...
0
votes
0answers
2k 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 ...
-1
votes
2answers
809 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 ($\text{MD}$) = ...
1
vote
1answer
9k 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 ...
1
vote
0answers
316 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 ...
1
vote
0answers
597 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 ...
1
vote
1answer
101 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 ...
1
vote
0answers
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 ...
0
votes
3answers
3k 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!
2
votes
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+...
1
vote
0answers
64 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 ...
0
votes
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 ...
8
votes
3answers
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 ...
3
votes
0answers
26 views
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 ...
2
votes
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 ...
-3
votes
1answer
316 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 ...
1
vote
1answer
104 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 ...
0
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0answers
109 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) ...
0
votes
0answers
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 $...
2
votes
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 ...
4
votes
1answer
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 ...
0
votes
1answer
58 views
How do I find the range? Details below
"The average mark in a grade 9 math class is 75.5% with a standard deviation of 9.5%. If Grade 9 math marks have a normal distribution:
b) Within what range of marks are 99.7% of all students?"
In ...
1
vote
0answers
152 views
Comparing different scale ranges for one Likert scale instrument
I don't believe this exact question has been asked before. I am conducting a meta-analysis on a certain Likert scale survey instrument that has been psychometrically validated. It is a 16 question ...
2
votes
1answer
5k views
Calculate the mid-60% range
I need some help please! I am not too sure how to answer question 1.3 regarding the "mid-60& range".
Are they looking for 60th percentile?
Thanks for the assistance!
1
vote
0answers
676 views
Normalization by z-score + range [0,1]
I am trying to normalize my dataset for further analysis. I have several data coming from different subjects, so I have first applied z-score normalization to each variable of each subject in order to ...
