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Science - Mathematics & Statistics / factor analysis | | Spanish term or phrase: criterio de contraste de caída | SPAIN: From a methodology description.
"Los niveles aceptables de comunalidad deben estar situados en el 0,50 o explicación de la mitad de la varianza de cada variable (criterio de contraste de caída), no existiendo ningún factor por debajo de esa cifra, luego es apto para el análisis factorial." |
|  neilmacKudoZ activityQuestions: 1070 ( 2 open) ( 8 without valid answers) ( 63 closed without grading) Answers: 2821
Spain
| | Local time: 10:18
|
| | English translation:Scree test | Explanation:
The scree test is a factorial analysis test. It plots eigenvalues and looks for the point where they start to level off; everything to the right of this point is called "scree," based on the geological term that means the debris at the bottom of a cliff.
Here are some excerpts from a few Spanish language articles which seem to confirm this; they all cite the author who introduced the scree test (Cattell):
"Criterio de contraste de caída o scree plot, propuesto por Cattell (1972). Se utiliza para determinar el número de factores a extraer antes de que la cantidad de varianza única, que es sustancialmente superior en los factores posteriores que en los primeros, empiece a dominar la estructura de la varianza común. El scree plot, también denominado gráfico de sedimientación, se obtiene uniendo los autovalores obtenidos en función de su orden de extracción. La forma de la curva obtenida se utiliza para evaluar el número de factores a extraer, deteniendo la factorización cuando comienza el nivel de corte a formar una línea recta, o al menos con un declive horizontal. Por regla general, este criterio suele incluir uno y, a veces, dos o más factores que cuando se utiliza el criterio de autovalores."
dspace.upv.es/xmlui/bitstream/handle/10251/1891/tesisUPV2227.pdf?
Another example:
"El examen del gráfico de sedimentación indicó que cinco factores eran viables de acuerdo al criterio de contraste de caída (Cattell, 1966)"
http://www.psicothema.com/psicothema.asp?id=3254
Here's the citation to Cattell's original article about the Scree test:
Cattell, R. B. (1966). "The Scree Test for the Number of Factors." Multivariate Behavioral Research, 1(2), 245-276. 1585 citations
Here are two further explanations of the "criterio de contraste de caída" and the "scree test," in Spanish and English:
"Criterio de contraste de caída.
Se determina el número de factores a retener examinando la gráfica de la varianza común de cada uno de los factores, ordenados de mayor a menor varianza. Se descartan aquellos factores a partir de los cuales la varianza explicada es constante y pequeña (del orden de 0’2, si se usa la matriz de correlaciones)."
From: http://docs.google.com/viewer?a=v&q=cache:bQNgU4Eb-NEJ:www.t...
"Scree test. The scree test was developed by a guy named Cattell. "Scree" is a term from geology. The scree is the rubble at the bottom of a clif. If you take a correlation matrix, you can decompose it into independent weighted combinations of the original variables (these combinations correspond to factors). Each set will have some variance associated with it. The idea in the scree test is that if a factor is important, it will have a large variance. What you do is order the factors by variance, and plot the variance against the factor number. Then you keep the number of factors above the "elbow" in the plot. These are the important factors which account for the bulk of the correlations in the matrix. It's called a scree test because the graph looks a bit like where a cliff meets the plain. In looking at a cliff, you might want to decide where the cliff stops and the plain begins. With the scree test you see where the important factors stop and the unimportant ones start. What we can do is to create a plot of the eigenvalues (variances) against their serial order."
http://luna.cas.usf.edu/~mbrannic/files/tnm/factor.htm
You can see a good visual image of how the test works on this page. Scroll down to scree test:
http://www.statsoft.com/textbook/principal-components-factor... |
| Selected response from:
Wordalia
Local time: 10:18
| Grading comment Great! Even the author didn't know what it was, he says the original quote was already in Spanish. Thanks for helping out on this one:)
4 KudoZ points were awarded for this answer |
| |
| Summary of reference entries provided | | liz askew |
| Discussion entries: 0 |
|---|
Automatic update in 00:
|
1 day15 hrs confidence:   Scree test
Explanation:
The scree test is a factorial analysis test. It plots eigenvalues and looks for the point where they start to level off; everything to the right of this point is called "scree," based on the geological term that means the debris at the bottom of a cliff.
Here are some excerpts from a few Spanish language articles which seem to confirm this; they all cite the author who introduced the scree test (Cattell):
"Criterio de contraste de caída o scree plot, propuesto por Cattell (1972). Se utiliza para determinar el número de factores a extraer antes de que la cantidad de varianza única, que es sustancialmente superior en los factores posteriores que en los primeros, empiece a dominar la estructura de la varianza común. El scree plot, también denominado gráfico de sedimientación, se obtiene uniendo los autovalores obtenidos en función de su orden de extracción. La forma de la curva obtenida se utiliza para evaluar el número de factores a extraer, deteniendo la factorización cuando comienza el nivel de corte a formar una línea recta, o al menos con un declive horizontal. Por regla general, este criterio suele incluir uno y, a veces, dos o más factores que cuando se utiliza el criterio de autovalores."
dspace.upv.es/xmlui/bitstream/handle/10251/1891/tesisUPV2227.pdf?
Another example:
"El examen del gráfico de sedimentación indicó que cinco factores eran viables de acuerdo al criterio de contraste de caída (Cattell, 1966)"
http://www.psicothema.com/psicothema.asp?id=3254
Here's the citation to Cattell's original article about the Scree test:
Cattell, R. B. (1966). "The Scree Test for the Number of Factors." Multivariate Behavioral Research, 1(2), 245-276. 1585 citations
Here are two further explanations of the "criterio de contraste de caída" and the "scree test," in Spanish and English:
"Criterio de contraste de caída.
Se determina el número de factores a retener examinando la gráfica de la varianza común de cada uno de los factores, ordenados de mayor a menor varianza. Se descartan aquellos factores a partir de los cuales la varianza explicada es constante y pequeña (del orden de 0’2, si se usa la matriz de correlaciones)."
From: http://docs.google.com/viewer?a=v&q=cache:bQNgU4Eb-NEJ:www.t...
"Scree test. The scree test was developed by a guy named Cattell. "Scree" is a term from geology. The scree is the rubble at the bottom of a clif. If you take a correlation matrix, you can decompose it into independent weighted combinations of the original variables (these combinations correspond to factors). Each set will have some variance associated with it. The idea in the scree test is that if a factor is important, it will have a large variance. What you do is order the factors by variance, and plot the variance against the factor number. Then you keep the number of factors above the "elbow" in the plot. These are the important factors which account for the bulk of the correlations in the matrix. It's called a scree test because the graph looks a bit like where a cliff meets the plain. In looking at a cliff, you might want to decide where the cliff stops and the plain begins. With the scree test you see where the important factors stop and the unimportant ones start. What we can do is to create a plot of the eigenvalues (variances) against their serial order."
http://luna.cas.usf.edu/~mbrannic/files/tnm/factor.htm
You can see a good visual image of how the test works on this page. Scroll down to scree test:
http://www.statsoft.com/textbook/principal-components-factor...
| Wordalia
Local time: 10:18
Native speaker of:  English, Spanish
PRO pts in category: 4
|
| | Grading comment | Great! Even the author didn't know what it was, he says the original quote was already in Spanish. Thanks for helping out on this one:) |
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