ERIC Number: ED078056
Record Type: RIE
Publication Date: 1973-Mar
Reference Count: 0
Standard Errors for Rotated Factor Loadings.
Archer, Claud O.; Jennrich, Robert I.
Beginning with the results of Girschick on the asymptotic distribution of principal component loadings and those of Lawley on the distribution of unrotated maximum likelihood factor loadings, the asymptotic distributions of the corresponding analytically rotated loadings is obtained. The principal difficulty is the fact that the transformation matrix which produces the rotation is usually itself a function of the data. The approach is to use implicit differentiation to find the partial derivatives of an arbitrary orthogonal rotation algorithm. Specific details are given for the orthomax algorithms and an example involving maximum likelihood estimation and varimax rotation is presented. (Author)
Publication Type: N/A
Education Level: N/A
Authoring Institution: Educational Testing Service, Princeton, NJ.