Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Varimax rotation based on gradient projection needs between 10 and more
  than 500 random start loading matrices for optimal performance   Gradient projection rotation (GPR) is a promising method to rotate factor or
component loadings by different criteria. Since the conditions for optimal
performance of GPR-Varimax are widely unknown, this simulation study
investigates GPR towards the Varimax criterion in principal component analysis.
The conditions of the simulation study comprise two sample sizes (n = 100, n =
300), with orthogonal simple structure population models based on four numbers
of components (3, 6, 9, 12), with- and without Kaiser-normalization, and six
numbers of random start loading matrices for GPR-Varimax rotation (1, 10, 50,
100, 500, 1,000). GPR-Varimax rotation always performed better when at least 10
random matrices were used for start loadings instead of the identity matrix.
GPR-Varimax worked better for a small number of components, larger (n = 300) as
compared to smaller (n = 100) samples, and when loadings were Kaiser-normalized
before rotation. To ensure optimal (stationary) performance of GPR-Varimax in
recovering orthogonal simple structure, we recommend using at least 10
iterations of start loading matrices for the rotation of up to three components
and 50 iterations for up to six components. For up to nine components, rotation
should be based on a sample size of at least 300 cases, Kaiser-normalization,
and more than 50 different start loading matrices. For more than nine
components, GPR-Varimax rotation should be based on at least 300 cases,
Kaiser-normalization, and at least 500 different start loading matrices.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph