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Questions tagged [composite]

A composite score is a single score that represents a combination of information from either multiple variables or multiple data points.

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Factorial ANOVA with composite dependent variable and interaction

I ran an experiment where participants were randomly assigned to a control or treatment condition and in both conditions each participant was presented consecutively with three pairs of products where ...
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PCA with correlated variables

I'm analyzing data from around 10 survey questions focused on regulatory issues. I've noticed these questions are highly correlated (of course since they are all about regulation), and I'm concerned ...
chunguc1004's user avatar
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Mean score of the Composite Variable

I have three items(Likert scale from 5 to 1) measuring opportunity recognition. I was getting negative cronbachs alpha value. Hence, I reverse-coded and got the Cronbach's alpha of 0.83. I will be ...
Anu's user avatar
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Why use integrals when building exponential composite functions?

I recently read this paper, which describes a generalisation for statistical exponential decay models used in ecology. Essentially, the parameter $k$ of the exponential decay function $f(x) = ce^{-kx}$...
Luka Seamus Wright's user avatar
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How to create a composite variable from survey data?

I'm working with survey data, which I've never done before (from the SHARE database). What I basically want to do is create a composite variable for cognitive function, mental health and maybe some ...
WussInBoots's user avatar
2 votes
1 answer
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Obtaining confidence intervals from composite defined functions

Assume you have a set of $n$ independent random variables $X_1, X_2, \dots, X_n$ with unknown distribution and mean (finite) values $\mu_1, \mu_2, \dots, \mu_n \in \mathbb{R}$. Moreover, there are $n$ ...
gabriel2029's user avatar
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1 answer
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How can I best visualize & compare this data? Should I create weighted composite variables for a scatter plot?

I have data from a survey which was asked people 1) how often they used a particular tool (daily, weekly, monthly, annually, etc) and 2) many hours they usually spent using it (0 - 4 hrs, 5 - 9, 10 - ...
Arctic's user avatar
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Generating Composite Index by PCA for a Single Country with Many Variables

I am doing a course project where I am trying to generate an index to measure the overall level of prosperity of a single country - such as the United States. What I hope is that this index could be ...
UMW23's user avatar
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Suggest a reasonable approach to combine the following variables into a single vector

I have 9 variables, namely BMI, waist-to-hip ratio (WHR), healthy-diet (HD: a score of 0 to 4, close to 4 indicates healthy), waist circumference (WC), neuroticism score (NS), body fat percentage (BF),...
Dovini Jayasinghe's user avatar
3 votes
1 answer
75 views

Which regression best suits double bounded outcomes that aren't binary?

I'm considering some projects in the future which require modeling literacy outcomes as composites (such as word reading scores), which will naturally never have negative values (it's impossible to ...
Shawn Hemelstrand's user avatar
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Compare and aggregate indicators at different geographic scale

I encountered a problem in developing an aggregation model of several indicators. Almost all the indicators are at a small geographical scale (admin2 / Provinces), but one is at larger geographical ...
Dorianeve's user avatar
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Can Composite Reliability (CR) be used for attenuation correction in meta-analysis?

I'm trying to conduct a meta-analysis on correlation using Spearman's disattenuation formula: rx'y' = rxy/sqrt(rxx*ryy). Can composite reliability (CR) instead of Cronbach's α be used in this formula? ...
Emily_C's user avatar
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How to create a composite variable out of 3 non-correlated variables?

I am working on a model to account for flood risk and it is based on three variables: Variable 1: drainage (float: 0 - 80) Variable 2: estimated population (float: 0-2,000) Variable 3: road network ...
Felipe S's user avatar
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Combining ordinal scales where each level is numerical range

I am working with a dataset that has several variables querying time spent using media each day. Each variable queries a different type of media use, with the same answer options. An example question ...
confooseddesi89's user avatar
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How normalized, weighted composite score measaured?

How can we convert a vector of repeated measures of a variable into one value when the vector has varying length in different instances? For instance, let's assume ...
Pie-ton's user avatar
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4 votes
2 answers
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Should I use composite or latent variables?

I am writing my master thesis about how the difference between majority's (Belgians) opinion about socially relevant topics and majority's perception of minority's (Turks and Moroccan's) opinion about ...
Sunčica Lauc's user avatar
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Formula of composite daily anomaly

If a daily anomaly is a difference between the daily mean from the corresponding daily climatology for the sought calendar day of the year, how to calculate the composite daily anomalies? Is there a ...
aigoo's user avatar
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Composite Null hypothesis in a Linear Regression

Suppose that we have an OLS estimator $\hat{\beta}$. Also, assume that we know $\hat{\beta}\sim N(\beta, \Omega)$ and have an estimator for $\Omega$, say $\hat{\Omega}$. Here, I want to test the ...
M.C. Park's user avatar
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How to create a composite score composed of variables with different levels of measurement?

For my graduation research, I am trying to create a composite score about household resilience out of data collected through a household survey. However, this data consists of ordinal variables (5-...
Nina Zander's user avatar
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317 views

Understanding Likert-scale data and calculating composite score

I have conducted a questionnaire without much knowing about Likert. Now I realized that I have both Likert-scale data and Likert-type questions. I think I can look at their descriptive statistics ...
Anıl P's user avatar
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211 views

Generalized likelihood ratio test for known means and unknown variance

Consider a sequence, $X_1, X_2, \dots, X_n$, of independent random variables. I have two hypotheses: $H_0 : X_k \sim \mathcal{N}(\mu_0, \sigma^2), k=1,2,\dots,n$ $H_1 : X_k \sim \mathcal{N}(\mu_1, \...
Max's user avatar
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Q: Aggregating audience and critic movie ratings, and creating a composite rating of the two

I’m building a movie review aggregation site that combines user ratings and critical reviews for a given movie. The objective is to create a list of the “best of the best” movies which were rated ...
GaussianBlur's user avatar
1 vote
0 answers
21 views

Reference for a multiple composite hypotheses

I am finding out a good reference or paper for a multiple composite hypotheses. (e.g. $H_0: \theta_j \geq 0\;\forall\;j=1,\ldots,\;J$) Is there any material you recommend?
M.C. Park's user avatar
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Intuition behind SEM latent variables not being actual variables

There are essentially two ways, to my knowledge, to put together a number of numerical items that are all meant to quantify one abstract notion. One can average the items and create a composite score. ...
Arnaud Mortier's user avatar
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167 views

Creating a composite independent variable from two categorical variables?

I have two predictor variables, one of which has measures how often a participant smokes in 5 levels (< 1x/week, 1x/week, 3-4x/week, everyday, and +2x/day). The other predictor is a categorical ...
Roaring's user avatar
1 vote
0 answers
311 views

Standardization of index components without mean centering

There are many questions and answers (see here for example) related to standandardization of variables, carried out by taking a value, subtracting the mean (centering) and dividing by standard ...
Forinstance's user avatar
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1 answer
633 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 ...
Gigi39's user avatar
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2 votes
1 answer
1k views

Create composite score from categorical and binary variables

Let's say I have a dataset with a number of variables on clinical history and behaviours in the context of COVID transmission. Ultimately i'd like to create a binary variable that is an indicator of ...
RNB's user avatar
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2 votes
1 answer
563 views

What is the minimum acceptable correlation for creating a composite variable?

I have created a composite measure comprising two items (both 7-point Likert scale items), using the summed z score method. The correlation coefficient for these two items is 0.59. This seemed ...
user145791's user avatar
2 votes
1 answer
135 views

Correlation of composite indicator dimensions

I have a composite indicator that works very well for my purposes and is made of 3 dimensions (dim1, dim2, dim3). The 3 dimensions are different measures that are, in many cases, highly correlated (...
Forinstance's user avatar
1 vote
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68 views

Composite Variables and Levels of Measurement

I have six worry items (worrying about economy, health, etc. and 1-Not worried, 2-Somewhat worried, 3-Very worried) and I want to create a composite variable to see if I can use all worries in a ...
Cuneyt Gurer's user avatar
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1 answer
238 views

How does SPSS calculate composite variable for MANOVA/Multivariate multiple regression?

I have analysed my data using multivariate multiple regression (8 IVs, 3 DVs), and significant composite results have been found. Before reporting my findings, I want to discuss in my results chapter ...
enoon's user avatar
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2 votes
1 answer
55 views

Validating the way of creating a composite score using elastic net

We have a dataset where we want to see the association of different personal/demographic characteristics and biomarkers with post-injury depression. For that, we first want to create a composite score ...
Blain Waan's user avatar
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4 votes
1 answer
195 views

What drives the test reliability of a composite based on three components?

Situation: A three part ability test with multiple-choice, essay, and oral components. I have scores for each of 110 test takers on each part and overall. The three parts are unequally weighted in ...
Joel W.'s user avatar
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1 vote
1 answer
188 views

High odds ratio for composite score created by ridge regression

This question is a follow up to one of my previous questions asked on this site. The goal was to create a composite score for biomarkers related to a binary outcome and then use that in a regression ...
Blain Waan's user avatar
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2 votes
0 answers
119 views

Asymptotic relationship between tests of compact composite nulls and one sided tests

A motivating example Let $x_t\sim N(\mu,1)$ for $t=1,\dots,T$. Consider testing the null $H_0: \mu\in[-1,1]$ against the alternative $H_1:\mu\in\mathbb{R}\setminus [-1,1]$. The natural (UMPU?) test ...
cfp's user avatar
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0 votes
1 answer
460 views

Can I create a composite variable for my two dependent variables?

I am working with two dependent variables that are both measuring a country's level of nuclear security. The first variable is a country's nuclear security index rating (range 1-100). The second ...
user245538's user avatar
6 votes
1 answer
785 views

Comparing ways to create a composite score

Objective: I have biomarkers $X_1,\ldots,X_p$ (all in continuous scale) and a binary dependent variable $Y$. Because $p$ is large (there are many biomarkers), I want to make a composite score ...
Blain Waan's user avatar
  • 3,595
0 votes
1 answer
83 views

Binomial distribution for randomly drawn probabilities

Main question Probability theory can be a weird place sometimes. Here I was, confident in my insane math skills, trying to solve the following problem: Let $N, \alpha$ and $\beta$ be given. Draw $N$ ...
chickenNinja123's user avatar
0 votes
1 answer
182 views

Composite Variables

I am getting a little confused with the idea of composite variables. If you have a bunch of (hyptertheical) features for house price regression such as #rooms, location, proximity to school, house ...
BillyJo_rambler's user avatar
1 vote
0 answers
196 views

Are there any good citations for the distribution of Hotelling's t-square statistic that don't assume a point null hypothesis?

Under standard assumptions, Hotelling's $t$-squared statistic, \begin{align*} t^2=(\overline{x}-\mu)'\hat{\Sigma}_\overline{x}^{-1} (\overline{x}-\mu), \end{align*} is distributed as \begin{align*} t^...
Jonathan Mitchell's user avatar
0 votes
1 answer
490 views

Re-scaling standardized values

I am constructing an index composed of around 100 indicators aggregated in sub-index and these in an Index, among the indicators different types can be found: categorical, ordinal, interval and ratio. ...
Julen's user avatar
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1 vote
1 answer
598 views

Bootstrapping confidence intervals for a non-linear combination of logit coefficients using R

I have a GLM with a logit link examining behaviours (success = 1, failure = 0) across several large datasets (n > 30,000). The IVs are standardised and centred. I would like to produce a metric of '...
Nick G's user avatar
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1 vote
0 answers
116 views

Are the confidence intervals of logit model coefficients normally distributed?

In more detail to the above... I have a GLM with a logit link examining behaviours (success = 1, failure = 0) across some quite large datasets (n ~ 30,000 to 3,000,000). The IVs are standardised and ...
Nick G's user avatar
  • 23
1 vote
1 answer
651 views

Regression: Can I use independent variables that are used to create a composite independent variable?

I'm considering an example where I'm creating a model to predict a binary categorical outcome to determine whether a tool will be successful (e.g. 1,0) over different periods of time. If I create an ...
NicChik's user avatar
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1 vote
1 answer
646 views

Combining multiple measures into a single measure

I have a situation where I have a set of j distinct categories, let's call them C. I have measured C in i different ways for a number of observations. I want to find the category Cj that best ...
Johannes Barstad's user avatar
1 vote
1 answer
176 views

Composite variable as DV. Can I include part of it as independent variable?

I am struggling to form a regression model as I have to explain financial performance of a company. The problem is that I have a variable like Return on assets $\frac{ebit}{total assets}$ as a ...
user6574498's user avatar
1 vote
1 answer
519 views

Why does my p-value increase when I account for multicollinearity?

I am running a multiple linear regression model and I have 8 covariates, 4 of them are highly correlated (r>0.7). So I created z scores and then created a composite. When I re-ran the model with this ...
Lucy's user avatar
  • 209
2 votes
1 answer
316 views

How do I combine (merge) two scales?

I mesured two constructs,  intention to book a room (4 items) and intention to book from a web site (3 items), (Pearson correlation = 0.344**) I've been asked by a reviwer to merge the two scales. ...
ZAck_Sorbonne's user avatar
2 votes
1 answer
42 views

How do I derive a rating from two variables containing zeros?

I have a dataset of the performance of probands in an experiment. An observer watching the performance noted positive and negative performance remarks on a simple tally, and ended up with something ...
fbmd's user avatar
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