Questions tagged [composite]

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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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17 views

Assigning weights to independent variables for a composite metric

I am trying to evaluate merchant experience for a company. I have a set of metrics like success rate, service tickets, ticket sla breaches etc as independent variables. Merchant experience would be my ...
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99 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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39 views

Logistic regression with composite outcome. One of the predictors is necessary for one component of the composite outcome

I am trying to build a logistic regression model to estimate the effect of multiple predictors (A to Z, for example) on a series ...
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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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Using PCA to construct index from survey items

I have a data set consisting of responses to dozens of different survey items. I would like to create indices (such as for example political orientation) from some of these items representing closely ...
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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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How to construct a test statistic for a composite null hypothesis?

For a simple null hypothesis, we usually construct a test statistic such that the test statistic follows (asymptotically) a known distribution under the null hypothesis. However, when the null ...
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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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Power for a study where the outcome is "any one of Y1-Y6' but I only have effect estimates for a few of the Y's

I am being asked to provide a sample size estimate for a study where the criterion (outcome variable) is 'any of Y1 - Y6' events (independent events). The study is associational only, the aim is to ...
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3 votes
2 answers
178 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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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 ...
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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 ...
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1 answer
135 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
408 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
165 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
35 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 (...
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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
159 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
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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
122 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
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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
106 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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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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6 votes
1 answer
413 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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1 answer
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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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1 answer
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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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1 vote
0 answers
152 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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1 answer
373 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
506 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
105 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 answer
594 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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1 vote
1 answer
466 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
426 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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1 vote
1 answer
150 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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0 votes
1 answer
381 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
241 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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2 votes
1 answer
39 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
258 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
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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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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
312 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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2 votes
1 answer
3k 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
534 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
565 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
225 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
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120 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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0 votes
1 answer
57 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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0 votes
0 answers
70 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
523 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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