# Questions tagged [scales]

Scales used to express measurements. Usually ratio, interval, ordinal or nominal types of scales are recognized. Dichotomous and count types are sometimes seen as their own. Other classifications exist. [For "scale" as a sum of individual items in psychometry - see also tag 'psychometrics'.]

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36 views

### Re-scaling variable - Mean equal to 100

I've created a composite indicator which is now in a normalized form. I want to rescale this variable so that the mean in the baseline year is equal to 100. In this way, all observations above 100 ...
3 views

### Comparing / Sorting Rates with different denominator scale

I have a list of N customers, each has its own performance rate let's call it Xi. In order to compare the performance of each customer Xi (for example finding those best-performing customers), i would ...
42 views

### How to correctly transform a log-log graph into untransformed exponential graph?

I plotted my data on a natural log-log scale and I seem to get a okay fit to the data with y=1.19 - 0.116x with Rsq = 0.29 I want to use the parameters but plot the row data with an exponential curve....
10 views

### Calculating correlation among different scales [duplicate]

I have conducted a small scale study investigating teachers mental health, covid-19 anxiety, work engagement and burn out levels. Now I would like to measure the relationships between the ...
39 views

### Can ratio data have negative values?

I get the concept of a "true zero" value, but I'm not sure why this implies that there cannot be any negative values—at least that's what most sources say that I found only, with only few ...
15 views

### How to combine both correction for restriction of range and attenuation?

I have two measurements obtained by two different scales that I want to correlate. Because of the nature of the sample I should use both a correction for attenuation and a correction of restriction of ...
59 views

### Should I take a mean of answers given by an individual on a Likert-Style Scale?

I want to use three established scales which have a Likert Scale as a response - for instance the 10-item Need for Belonging scale (Leary et al., 2013). This scale is a 1-5 response alongside another ...
4 views

### Combining an instruments scale points

I am reviewing a data analysis plan and the author said that post data collection and due to the small n they are collecting from, they would combine their instrumenta scale points into 3 (very ...
8 views

### Correlation between subscales

I have used a scale, which includes 3 subscales. Given that the 3 subscales make part of the same,validated instrument, what conclusions can be drawn from the fact that a pair of subscales ...
3 views

### adjusting house hold income using equivalence scales for regression

I have family/household data. My target is money_spend_on_food_in, which I would like to predict depending on certain properties of the household. One of these properties is number_of_inhabitants. I ...
23 views

### I applied ordinalEncoder to the categorical data, these new representations of the categories, can StandardScaler be applied to them?

I have some data with, categorical and numerical data, to the categorical data I apply OrdinalEncoder. I want to apply the StandardScaler, the question is: do I apply it only to the numerical data and ...
39 views

### Why reliable change index instead of using standard deviation of the difference scores?

Let's say I want to see if my patient's medication affects their score on a scale of attention. I test them twice: once on meds, and once off meds. I then want to see if their change in score is ...
11 views

### Comparing Dissimilar Survey Questions

I am hoping to gain some insight on the most responsible way to fulfill a request at my place of work. I have been asked to show a quantifiable improvement year-over-year, by comparing apples and ...
9 views

### Spearman correlation graph with log axis scale

I did a Spearman correlation on two variables with non-normally distributed linear data, and they correlate. However, since the data is very skewed, the graph does not look good with linear axis. I ...
19 views

### How to scale one dataset in relation to another?

I have two sets of numbers, that represent grades from two different groups of students, A and B, these grades go from 0 up to 1000. These sets have very different distributions, while set A has a lot ...
34 views

### Matrix row - PCA

I know that before doing PCA we need to normalize and scale the data by feature. I am wondering what it will be happened if the normalization and the scaling operations would be calculated for each ...
26 views

### Non-Parametric T-Test Alternative for Small Scale

In a small online study (N=30 participants), I asked for the participants to rate whether they prefer some stimuli A or B in a scale from -4 (prefer A) to +4 (prefer B) with 0 being a neutral "...
72 views

### Inclusion of a NA category in inter-rater agreement calculation

I have a dataset in which the behaviour of $n = 6$ subjects have been rated by $k = 84$ raters on an ordinal scale with 5 ordinal categories. The distances between the ordinal categories are not ...
58 views

### best way to combine/analyze multiple datasets that assessed a construct using different scales?

one dataset has a construct X measured with a scale that has 11 items (all rated on a 7-point scale), another one has it measured using a different 5-item scale (rated on a 5-point scale). (and there'...
19 views

### Will Random Forest improve with interval scaled data as compared to Likert-Data?

Supposing I want to use answers to questions as features for a random-forest, will a slider scale to answer the questions, which results in interval-scaled answers on a scale from 1-100 deliver ...
17 views

### Categorical data type

Suppose I send surveys out to students’ parents to assess how often parents seek tutors to help their children with schoolwork. Parents are selected from schools across the country. As part of my ...
24 views

### Constant-information scale transformation

I was recently introduced to the concept of constant information scale transformations in the book Generalized Linear Model with Examples in R, by Dunn and Smyth. With that, they mention in the book ...
35 views

### Normalize across groups, individuals or population?

I would like to compare sensors of a manufacturer A with those of a manufacturer B. As they provide different measurement magnitudes, I want to scale the variables such that it makes more sense to ...
13 views

### Transforming data on a per-instance basis

I am currently facing the following situation (in my feature engineering process): I am inspecting a step function for a set of instances (step function per instance), i.e., in each iteration "i&...
223 views

### Equation for weighted average with normalization(?)

I am trying to understand how I should denote the equation for rescaling the following 7 categories into one value. The final weighted average is 0.57, which is possible by subtracting one and ...
112 views

### Understanding the difference between standardization and normalizing for hierarchical clustering

I am trying to understand the difference between normalization and standardization for the hierarchical clustering. I read the documentation and some posts like this and this as well as several SO ...
301 views

### Likert scale 0-4 or 1-5

I am conducting a study with Likert scale questions and my thesis advisor advised me to rescale the answers from 1-5 (strongly agree-strongly disagree) to 0-4. She says this will help in the ...
18 views

### Does rounding violate the restrictions of an interval scale?

I'm currently working with questionnaire data from the NASA TLX. It uses a graphical rating scale with 100 equally spaced data points, broken up by 21 ticks, leaving intervals of 5. Its manual (p. 4) ...
37 views

### t-Test for dependent samples for z-standardized values?

I've got children's questionnaire scores (mean of 6 items) regarding a particular variable (here: how well the child likes to interact with technology), and a score of the same child by a parent (they ...
20 views

### Interpretation of rescaled variables compared to unscaled variables (odds ratio)

When I do keep original scale of a predictor (1-5) in a binary regression, the odds ratio is: OR = 1.7422702; lower 95% CI: 1.0312383; upper 95% CI: 2.9848870 When I rescale the given predictor to a ...
43 views

### Normalise a Positive and / or Negative number between 0 and 100, negative numbers should appear lower in the range relative to the data set

Hoping someone out there can help me with a formula that normalises positive and negative numbers between 0 and 100. Here's a sample data set: Features of this data set: Always only 8 values to ...
21 views

### comparing the performance of a score across different populations2

A very well validated score exists. This score predicts mortality after disease A when patients present from country W . The score is a 4 point score. If a subject presents from the community with ...
26 views

### comparing the performance of a score across different populations

A very well validated score exists. This score predicts mortality after disease A when patients present from country W . The score is a 4 point score. If a subject presents from the community with ...
9 views

### How should low factor loadings affect interpretation of the factor's correlation with another variable?

In a research project I am working on for university, I used 18 items to measure 4 variables. This measurement instrument has been validated in previous literature. I ran a factor analysis with 4 ...
42 views

### Can z-score transformation ever be undesirable? [duplicate]

I am new to the field and learned about scaling (by z score transformation) of data. While it seems a super useful and universal technique, I have learned that no technique is applicable to each and ...
769 views

### difference between interval scale and ratio scale in classifying Data

I was reading about 'different types of data'. I understood the concept of nominal and order based data. But I did not have a clear picture about the difference between interval and ratio scaled data. ...
183 views

### What are the scale and location parameters of the Student's t distribution?

I would like advice on how to correctly set the parameters (loc and scale) for the student T distribution that best fits my data of daily stock returns. I'm pulling random numbers from a student T ...
392 views

### Should I normalize all data prior feeding the neural network models?

Appreciate your wisdom on this, My understanding is most of the tutorials recommend normalizing / scaling the data prior feeding the tensorflow models. Doesn't normalization require that data ...
21 views

### Which test is most appropriate for a relationship between two continuous variables using different scales?

Please forgive me if this is a common query but I haven't seen anything which quite answers what I'm looking for. I'm using data concerning the weight change and pH values of plastic samples, the ...
20 views

### Should one scale the predictors for option pricing?

I am not sure to know when one should scale the data used for feeding a NN. I am trying to modelize the B&S formula using NN and for that I simulate option pricing for many options with random ...
125 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 ...
21 views

### Leveling the field for a race competition

I'm not sure if this is really a statistics question, but I can't think of a more fitting Stack Exchange for it. My friends and I at work are having a competition to see who can decrease their one-...
26 views

### What's “the clinically important absolute scale”?

In this article, the authors used the sentence "...risk difference (i.e., treatment effect on the clinically important absolute scale)". What did they mean by "clinically important ...
17 views

### Analyzing Two likert scales

Our study suggests that when one persons job crafting level increases, his or her burnout level decreases. I and my coworkers used 2 different likert scale questionnaires, one that measures job ...
18 views

### How to calculate composite score with a 2-factor scale

Suppose I have a scale with four items meant to measure, say, happiness. I ran a confirmatory factor analysis and the model fits well with two factors and let's say that the two factors are 1) ...
457 views

### Group By and Scale Data vs Scaling Data Without Grouping

I have a panel data set that covers 20 earnings dates for 50 companies. I would like to know if I should scale data by the ticker or just scale the data without grouping. What would be the pros and ...
2k views

### Ratio Measurement Scale and Absolute Zero

Levels of measurement are: Nominal, ordinal, interval and ratio. What happens when the absolute zero of a data set using the ratio scale is a negative number? I.E when the absolute zero is -25,000? ...
10 views

### Meaningful outcome measure

I'm conducting a research about deaths due to a certain medication. I know the number of deaths, which is rather small (from 4 to 20 a month) compared to the total of times that the drug was used (~8 ...