What are difference between varimax, quartimax and equamax rotation in factor analysis?
In factor analysis,varimax, quartimax and equamax rotation are the commonly used methods in orthogonal rotation.
- ShareLv 41 decade agoFavorite Answer
A method for rotating axes of a plot such that the eigenvectors remain orthogonal as they are rotated. These rotations are used in principal component analysis so that the axes are rotated to a position in which the sum of the variances of the loadings is the maximum possible
All rotations in Minitab's Factor Analysis are orthogonal rotations, which result in uncorrelated factor scores and orthogonal factor loadings. These rotations move the entire factor structure in a rigid frame around the origin. The communalities are unchanged from the unrotated to the rotated solution. The goal of rotation is to obtain a simpler factor loading pattern that is easier to interpret than the original factor pattern.
Specifically, the quartimax rotation (gamma = 0) maximizes the variance of the squared factor loadings in each variable, i.e., simplifies the rows of the factor loading matrix. In each variable the large loadings are increased and the small ones are decreased so that each variable will only load on a few factors.
In contrast, the varimax rotation (gamma = 1) maximizes the squared factor loadings in each factor, i.e., simplifies the columns of the factor loading matrix. In each factor the large loadings are increased and the small ones are decreased so that each factor only has a few variables with large loadings
Criteria suitable only for orthogonal rotations
varimax and vgpf apply the orthogonal varimax rotation. varimax maximizes the variance of the squared loadings within factors (columns of A). It is equivalent to cf(1/p) and to oblimin(1). varimax, the most popular rotation, is implemented with a dedicated fast algorithm and ignores all optimize_options. Specify vgpf to switch to the general GPF algorithm used for the other criteria.
quartimax uses the quartimax criterion. quartimax maximizes the variance of the squared loadings within the variables (rows of A). For orthogonal rotations, quartimax is equivalent to cf(0) and to oblimax.
equamax specifies the orthogonal equamax rotation. equamax maximizes a weighted sum of the varimax and quartimax criteria, reflecting a concern for simple structure within variables (rows of A) as well as within factors (columns of A). equamax is equivalent to oblimin(p/2) and cf(f/(2p)).
- Anonymous4 years ago
Tornadoes ensue in maximum factors of the international. notwithstanding they're maximum familiar over the continental plains of the united states. Tornadoes are typically talked about as a funnel of spiraling air descending from the bottom of clouds to the earth. The tornado is many times narrow, about a million/2 km huge and not often does it flow more advantageous than 20 km. Like hurricanes the precise mechanism of how the funnel varieties in not understood. hurricane Tropical Storms initiate interior 8º and 15º north and south of the equator the position floor sea temperatures attain 27ºC. The air above the nice and comfy temperature sea is heated and rises. This motives low stress. the elements device generates warmth which powers the hurricane, causing wind speeds to develop. This motives the Tropical hurricane to keep up itself. Tropical storms position self belief in fairly some warmth, moist air from the sea - because of this they die out over land. The considered necessary area of the tropical hurricane is universal because the interest. the interest is many times between 30-50km for the time of. that's an component to calm, with mild winds and no rain. It includes descending air. tremendous cumulonimbus clouds encompass the interest. those are led to by ability of moist air condensing because it rises. Wind speeds universal 160km in accordance to hour around the interest.