Questions tagged [scale-invariance]
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57 questions
1 vote
1 answer
102 views
Scalar Invariance Testing Accounting for Age Effects in lavaan
I am using a longitudinal CFA in R using the lavaan package to model a latent construct (small vessel disease - SVD) that is measured by 3 MRI indicators. My initial goal is to test the measurement ...
0 votes
0 answers
97 views
How can I estimate the rotation and translation between two cooordinate frames?
I have measurements of N points, p, in 3D in two coordinate frames (xyz and XYZ): $$ p_i: \mathbf{x_i}, \mathbf{X_i} $$ The coordinate frames are rotated and translated with respect to each other: $$ ...
- 743
3 votes
1 answer
88 views
Invariance test for a longitudinal multi-group growth model. Is a group invariance test for all timepoints required?
I have data from 7 waves for a construct that includes samples from two different countries. As a preliminary step for a growth curve analysis, a longitudinal invariance test has already been ...
- 55
3 votes
1 answer
100 views
Suppose $(X,Y)$ have copula $C(u,v)$, does $(aX,aY)$ have the same copula for $a>0$?
Suppose $(X,Y)$ have copula $c(u,v)$ in the sense of $Pr(X\leq x,Y\leq y)=Pr(F_X(X)\leq F_X(x),F_Y(Y)\leq F_Y(y))=Pr(U\leq u, V\leq v)=c(u,v)$, where $u\equiv F_X(x)$ and $v\equiv F_Y(y)$ and $c(u,v)$ ...
- 3,090
4 votes
1 answer
266 views
Why do I get smaller degrees of freedom for the Scalar invariance model than the Metric one while testing measurement invariance?
I am trying to test the measurement invariance in my bi-factor model with CFA tests. I have 23 binary questions coded "correct" and "incorrect" and 3 different groups in my data. ...
0 votes
1 answer
224 views
Measurement invariance: Model fit increases with increasing constraints
I have run into the same problem repeatedly, namely that model fit increases with increasing model restraints. I want to compare measurement invariance on a three-factor model (based on previous CFAs ...
1 vote
0 answers
69 views
Failure to meet the Scalar Invariance model
I did an 6 group experiment and I ran the multi-group CFA and failed to meet the Scalar model. I understand that the analysis should not compare means in that case but I can do MANOVA and SEM/...
- 61
2 votes
0 answers
144 views
Is AIC scale invariant for problems concerning the number of data points in regression?
I am trying to use Akaike Information Criterion with the small sample correction (AICc) as method for determining how many data points to use in a linear approximation of a non-linear function; the ...
- 21
1 vote
1 answer
222 views
Do you lose information when you encode numerical columns with two values?
Sometimes I have numerical columns that are composed of two unique values. For example, a value from the set $\{0.1, 5.4\}$ in every cell, or $\{-1, 0\}$ in every cell. I typically scale these columns ...
- 677
1 vote
1 answer
624 views
Comparing multigroup CFAs: Improved fit with more restrictions
I have conducted a CFA for a one-factor measurement model and then proceeded to do multigroup CFAs to test for measurement variance for gender and age (binary variable, median split). Testing for ...
- 113
0 votes
0 answers
54 views
Ask for rationale of finding the corresponding prior from regularizer by taking exponential of negative regularizer
In equation (5.112) of textbook "Pattern Recognition and Machine Learning" by Christopher M. Bishop, the simple regularizer takes the form $\frac{\lambda}{2}{\bf w}^T{\bf w}$. The author ...
- 333
1 vote
0 answers
56 views
Where is the h function of the exponential family gone?
The problem comes from equation (4.86) of text "Pattern Recognition and Machine Learning" written by Christopher M. Bishop $$a_k({\bf x})={\bf\lambda}_k^T{\bf x}+\ln g({\bf\lambda}_k)+\ln p(\...
- 333
0 votes
1 answer
443 views
Which is the measurement invariance level necessary for a multiple regression analysis?
I am interested in running a multiple regression model to test the association between a predictor variable x and an outcome variable y and control by some confounders variables (e. g. gender, age). ...
1 vote
0 answers
139 views
Scale-free network or not?
I am working on a directed graph, where in and out degree distributions are extrimely different: while the in-degree is for sure following a power-law, the out degree is not. Also, the in degree is a ...
2 votes
0 answers
399 views
CNNs Scale/Rotation Invariance
CNNs are translation-invariant due to the pooling layer. How can we make them scale/rotation invariant? I have beginner-level knowledge of Deep Learning so please help me understand.
