Chapter 10 formulas

Chapter 10 formulas - Lecture Notes Chapter Ten: Analysis...

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Lecture Notes Chapter Ten: Analysis of Variance Randall Miller 1 | Page Key Symbols o ANOVA – Analysis of variance o SST – Sum of squares for treatments o MST – Mean square for treatments o SSB – Sum of squares for blocks o MSB – Mean square for blocks o SSE – Sum of squares for error o MSE – Mean square for error o a × b factorial – Factorial design with one factor at a levels and the other factor at b levels o SS( A ) – Sum of squares for main-effect factor A o MS( A ) – Mean square for main-effect factor A o SS( B ) – Sum of squares for main-effect factor B o MS( B ) – Mean square for main-effect factor B o SS( AB ) – Sum of squares for factor A × B interaction o MS( AB ) – Mean square for factor A × B interaction Formulas Completely Randomized Design ANOVA F -Test to Compare k Treatment Means: Completely Randomized Design 01 2 : ... : At least two treatment means differ. k a H H µµ µ = = = Test statistic : MST MSE F = Rejection region : FF α > where F is based on ( ) 1 1 k ν = numerator degrees of freedom (associated with MST) and ( ) 2 nk = denominator degrees of freedom (associated with MSE). ( ) 2 2 1 Correction for mean Total of all observations = Total number of observations n i i CM y n = =    = ( ) ( ) 2 1 SS Total Total sum of squares Sum of squares of all observations n i i CM y CM = = = = =
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Lecture Notes Chapter Ten: Analysis of Variance Randall Miller 2 | Page 2 22 12 SST = Sum of square for treatments
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This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.

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Chapter 10 formulas - Lecture Notes Chapter Ten: Analysis...

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