Questions tagged [composite]

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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 ...
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Interpretation of Exploratory Factor Analysis

I am conducting research in cognition, where we are reducing a large dataset. An Exploratory Factor Analaysis with a 3-factor solution (based on a scree plot) reveals factors that appear to correspond ...
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37 views

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 ...
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4 votes
2 answers
203 views

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 ...
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23 views

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 ...
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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 ...
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1 vote
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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-...
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0 answers
194 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 ...
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139 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, \...
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1 answer
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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 ...
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16 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?
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3 votes
2 answers
298 views

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. ...
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107 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 ...
1 vote
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210 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 ...
0 votes
1 answer
269 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 ...
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2 votes
1 answer
719 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 ...
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2 votes
1 answer
301 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 ...
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2 votes
1 answer
68 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 (...
1 vote
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53 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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1 answer
194 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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2 votes
1 answer
44 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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4 votes
1 answer
149 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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1 vote
1 answer
172 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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2 votes
0 answers
116 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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1 answer
381 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 ...
6 votes
1 answer
489 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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0 votes
1 answer
67 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 $N$ ...
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1 answer
135 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 ...
1 vote
0 answers
173 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^...
0 votes
1 answer
415 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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1 vote
1 answer
559 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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1 vote
0 answers
110 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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1 vote
1 answer
533 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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1 vote
1 answer
509 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 ...
1 vote
1 answer
164 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 ...
1 vote
1 answer
469 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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2 votes
1 answer
282 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. ...
2 votes
1 answer
41 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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4 votes
2 answers
290 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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1 vote
0 answers
103 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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0 answers
8k 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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5 votes
1 answer
356 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. ...
2 votes
1 answer
4k 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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1 vote
1 answer
611 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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1 vote
1 answer
601 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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0 votes
1 answer
247 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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1 vote
0 answers
127 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 ...
0 votes
1 answer
59 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 ...
0 votes
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98 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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2 votes
1 answer
626 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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