MBA_612_Lecture_8_Notes1_1

MBA_612_Lecture_8_Notes1_1 - Lecture 8 Notes ANOVA ONE-WAY...

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Lecture 8 Notes ANOVA ONE-WAY WITH BLOCKING, (same as Two-Way with No Interacdtion) = + + + xiy μ βj αi eij = - i 1 n j = - 1 r Derivation: = = - j 1ri 1nxij x2 = = - + - + - - + xi x xj x xij xi xj x2 This is nothing but an identity. Block ↓ Treatment↓ Error Sum of Squares↓ = - + - + - - + xi x2 xj x2 xij xi xj x2 The cross-products go to zero. Now, let us concentrate on the last term, the error sum of squares - + xij xi xj x2 = - + - + + xij x αi x βj x2 which is the same as = -( - - ) xij x αi βj 2 Estimate of Error Term Study the expression above. You are asked to sum the squared difference between each cell value (of which there is only one) and the estimate of the mean of the cell value. This would yield the square of the error term ( eij2 ) This might help with understanding where some of the above notation came from…. = αi estimate of block effect (of block i , where i goes from 1 to n) βj = Estimate of column effect (of column j , where j goes from 1 to r) = + xi x αi

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This note was uploaded on 08/24/2010 for the course MATH 267 taught by Professor Chandrasekhar during the Summer '10 term at Anna University Chennai - Regional Office, Coimbatore.

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MBA_612_Lecture_8_Notes1_1 - Lecture 8 Notes ANOVA ONE-WAY...

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