Questions tagged [composite]

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Regress statistical composite variable and against latent variable in an SEM using lavaan.mi

I am trying to estimate the association between a statistical composite variable, developed following the methods described here, and a latent variable using lavaan.mi (estimated from a series of ...
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1answer
184 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. ...
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7 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 ...
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2answers
11k views

Can I combine several ordinal questions to create an index and/or composite measure?

I am using a survey that contains several questions about various dimensions of performance for policy research institutes. Here, performance in the policy arena is unpacked into things like: ...
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18 views

Are empirically derived composite scores influenced by “zero inflation”?

I am helping a friend analyze a set of self-report ethological data. The aim of the data is to determine whether certain guinea pig pairings (dyads/triads - 2 males, 2 females, 1 male+2 female, etc.) ...
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1answer
935 views

Composite Scores and Standardized Composite Scores t test

I have a set of survey data related to 20 survey questions. Each of these questions represent a variable (Q1, Q2,......
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5 views

Combining time and percentage errors into a single figure of merit

I have a set of 1000 randomly generated "model" objects, each of which can be solved using one or more "solver" objects (there are 6 different solvers in total). For each model, I ...
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0answers
55 views

Creating a composite variable with data that is missing by design

I have a dataset of 20 variables and over 2,000 observations. These variables are paired. A respondent is first asked if they endorse a goal. If they endorse that goal, a follow-up question asks how ...
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1answer
35 views

Binomial distribution for randomly drawn probabilities

Setting 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. ...
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1answer
55 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 ...
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2answers
150 views

Bayesian Hypothesis Testing with Fair Coin Flip

Bayesian binary hypothesis testing problem in equal priors and uniform cost assignment (i.e., $c_{ij}=1$ for $i \neq j$ otherwise $0$) setting: Under hypothesis $\mathrm{H}_0$, the observation $Y$ is ...
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1answer
27 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 ...
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1answer
85 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 ...
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1answer
66 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 ...
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1answer
246 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 ...
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0answers
95 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 ...
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1answer
80 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 ...
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1answer
150 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 ...
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1answer
350 views

Composite Variables for simple and multiple regression

When I am supposed to create a composite variable using the sum or the mean method? Thanks in advance, Alex
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1answer
62 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 ...
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1answer
425 views

Formative/composite variable as weighted additive index

I'm very new to SEM (and relatively new to stats generally). I would like to ask whether my plans generally sound reasonable before I get lost for days in the literature. The model that I try to work ...
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3answers
52k views

AVE & composite reliability with SPSS

I have some issues with an exploratory factor analysis. Can anybody please tell me how to calculate the Average Variance Extracted (AVE) and the Composite Reliability from two factors, each with ...
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2answers
14k views

Creating a single index from several principal components or factors retained from PCA/FA

I am using Principal Component Analysis (PCA) to create an index required for my research. My question is how I should create a single index by using the retained principal components calculated ...
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0answers
70 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^...
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1answer
303 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 '...
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0answers
90 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 ...
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0answers
7k views

Cronbach Alpha VS Composite Reliability: a big difference?

I've read elsewhere that Alpha is probably a low-bound estimate of realibility if the tau equivalence is violated (which is often is). An alternative was proposed which is the composite reliability. ...
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2answers
5k views

Are composite variables (eg. a score) valid to perfom a SEM in AMOS?

I have a resilience scale with 11 items (observed variables), from which I calculated the mean to get a "resilience score" (what would usually be an unobserved variable or latent construct in SEM ...
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1answer
9k views

Computation of composite score or summed score from Likert scale

I am proposing a survey for my research proposal in speech therapy. There is a set of guidelines that speech therapists are supposed to follow, so that all questions are conceptually related - so that ...
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1answer
317 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 ...
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0answers
43 views

Calculate distances of a company branches from main branch in every state. How calculate distance for main branch in every state?

Suppose that I'm calculating distances of a company branches in every state from main branch of that state. After that I'm combining this feature with other features to creating a composite indicator ...
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0answers
157 views

Difference between multivariate analysis and multicriteria decision analysis

What is the difference between multicreteria and multivariate analysis? Can they both be used to weight items in a composite index?
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1answer
112 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 ...
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2answers
2k views

How do I combine two outcome measures from two different questionnaires into one variable?

I have been asked by a journal editor to combine two separate measures of child disruptive behaviour into one variable. One meaure is parent rated and is from the 36-item Eyberg Child Behaviour ...
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1answer
263 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 ...
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1answer
176 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. ...
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1answer
37 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 ...
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0answers
491 views

Should I use a composite standard deviation for these multiple biological/technical replicates?

I used an ELISA to determine protein concentration from absorbance readings, which is a nonlinear relationship. I have 3 sample types, which are broken down into 3 biological replicates (per sample), ...
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0answers
60 views

Testing significant differences in a composite measure

I am developing a composite score that pulls together multiple measures into one score for each group. Each measure is constructed as a percent (20% of customers met the measure, 60% of customers met ...
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1answer
232 views

Hypotheses for the likelihood ratio test

My question is very simple and basic but it's confusing me. Suppose we have a $p$-parameter vector $\theta =\{\theta_{1}, \theta_{2}, \cdots, \theta_{p}\}$ and I wish to do a likelihood ratio test. ...
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1answer
2k views

Creating a composite measure

I'm having trouble creating a composite measure. I have 5 different non-normal variables (all different scales). I'd like to create one score that takes into account these 5 variables. I can manually ...
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1answer
424 views

How to lower composite reliability

at the moment I'm evaluating a survey which contains some constructs with too high composite reliability values. The CR (composite reliability) values are above .95 which indicates redundant items. In ...
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2answers
2k views

Advice on scientifically sound scale construction

I've been given a set of 20 Likert-items (ranging from 1-5, sample size n = 299) within the field of organizational research. The items are intended to measure a latent concept which is ...
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1answer
158 views

Transformation of a Skewed Composite Outcome made up of 2 Z-scores?

I am running a repeated measures mixed model. For my outcome variable, I would like to sum 2 continuous variables, which consequently are both Z standardized in order to do so. However, my outcome ...
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0answers
112 views

z-scores in t-test

I would like to ask the following: I have two groups (patients, controls). I used the mean and SD of the control group to calculate z-scores from their results on a variety of tests. , both for ...
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1answer
54 views

How can I compose a new variable using data from different but strongly correlated measures

For my master thesis I'm preparing an individual patient data meta analysis based on data of four studies. In those studies parental psychopathology is measured by three different, but highly ...
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2answers
3k views

Likert scale based composite variables

I am conducting a small research into the adoption of smart home technologies for elderly people. In this research I have conducted both questionnaires and interviews, with the questionnaire being ...
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1answer
241 views

providing mean, sd, and correlations in sem

it is advised to provide mean, sd, and correlations of the data as the best practices in writing sem. However, the books I read did not mention how to obtain or provide those scores from the latent ...
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1answer
302 views

Power of a composite test

I know that power function is defined as $\beta(\theta)=P(\mathbf{X}\in R\mid\theta)$, where $R$ is the rejection region. For a composite test, $\Theta_0^c$ is a set. How do we define "the power of a ...
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1answer
3k views

Combining several variables into one outcome score: How is it done in the machine learning community?

I have got 8 cognitive (continuous) behaviour variables and would like to combine them into a composite score. I would then like to find the best predictors of this outcome (from about 50 predictors). ...