ERIC Number: EJ829582
Record Type: Journal
Publication Date: 2009-Jan
Abstractor: As Provided
Reference Count: 2
A Note on Variance Components Model
Kshirsagar, Anant M.; Radhakrishnan, R.
International Journal of Mathematical Education in Science and Technology, v40 n2 p287-289 Jan 2009
In a balanced design (i.e. a design in which all cells have the same number of observations), if the effects in the linear model are random and normally distributed, the distribution of the ratio of any sum of squares (s.s.) in the ANOVA to the expected value of its mean square (m.s.) has a [chi][superscript 2]-distribution. In this note, we investigate the conditions under which this ratio is a [chi][superscript 2] if the design is not balanced.
Descriptors: Statistical Analysis, Geometric Concepts, Mathematical Models, Structural Equation Models, Least Squares Statistics
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
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