Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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Research Abstract |
I developed a factor analysis (FA) procedure underlain by a new fixed factor model in which common and unique factor scores are treated as fixed parameters. This procedure can be called joint FA (JFA), as all parameters are estimated jointly. I presented an algorithm for minimizing the least squares function of JFA. A feature of the algorithm is that the optimal loadings and unique variances can be estimated only if inter-variable covariances are available. Simulation studies showed that the true loadings and unique variances are recovered well, and the usefulness of JFA was illustrated in real data examples. A property of JFA interesting theoretically is that JFA can be regarded as higher rank approximation of a data matrix. I further used the property to give the explanation of the common and unique factor indeterminacy which is a generalized version of Mulaik's (1976) cone.
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