1. The following table is the result of maximum likelihood factor for one and two factors...
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1. The following table is the result of maximum likelihood factor for one and two factors for a data. m=2, without rotation 0.630 Variables I 2 3 4 5 m=I 0.599 0.668 0.915 0.773 0.724 0.696 0.893 0.782 0.729 0.377 0.308 -0.048 -0.205 -0.201 [1.000 0.553 0.549 0.410 0.3871 1.000 0.610 0.485 0.553 0.437 R = 0.549 0.610 1.000 0.711 0.665 0.607 0.410 0.485 0.711 1.000 0.387 0.437 0.665 0.607 1.000 [39.0 50.6 x = 50.6 m=2, with rotation 0.243 0.337 0.717 0.732 0.689 Correlation matrix, mean vector and variance vector based on 80 samples used to get the result shown above are respectively equal to 46.7 42.3 0.693 0.682 [302.31 170.9 s = 111.6 217.9 294.4 0.534 0.343 0.312 (a) Write the equation with two factors after rotation. (b) Determine communalities and specific variance for one and two factors. (c) Investigate one or two factors will be adequate to explain the data. (d) Determine variations using result from 2 factors without rotation and its respective percentage explain by first and second factors. (e) Determine equations that can be used to get first and second factor scores after rotation. 1. The following table is the result of maximum likelihood factor for one and two factors for a data. m=2, without rotation 0.630 Variables I 2 3 4 5 m=I 0.599 0.668 0.915 0.773 0.724 0.696 0.893 0.782 0.729 0.377 0.308 -0.048 -0.205 -0.201 [1.000 0.553 0.549 0.410 0.3871 1.000 0.610 0.485 0.553 0.437 R = 0.549 0.610 1.000 0.711 0.665 0.607 0.410 0.485 0.711 1.000 0.387 0.437 0.665 0.607 1.000 [39.0 50.6 x = 50.6 m=2, with rotation 0.243 0.337 0.717 0.732 0.689 Correlation matrix, mean vector and variance vector based on 80 samples used to get the result shown above are respectively equal to 46.7 42.3 0.693 0.682 [302.31 170.9 s = 111.6 217.9 294.4 0.534 0.343 0.312 (a) Write the equation with two factors after rotation. (b) Determine communalities and specific variance for one and two factors. (c) Investigate one or two factors will be adequate to explain the data. (d) Determine variations using result from 2 factors without rotation and its respective percentage explain by first and second factors. (e) Determine equations that can be used to get first and second factor scores after rotation.
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Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
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