LectureSept17

LectureSept17 - BME 423 Lecture Notes - Sept. 17, 2008...

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1 Hypothesis Testing Differences Between Groups BME 423 Lecture Notes - Sept. 17, 2008 II. Analysis of Variance (ANOVA or F Test) C. Summary III. Examples B. HR in Men and Women in BME 423 C. HDL Concentration and Exercise 2. Variance of each group 12 1 1 ,,, n mi i x xx x x n = ⎛⎞ = ⎜⎟ ⎝⎠ C. Summary of ANOVA (F Test) Experiment: m - # of treatment groups n - # number of subjects per group Null Hypothesis: RV X is measured H0: () 2 22 2 2 1 1 1 n i s ss s x x n = =− 1. Mean of each group m μ μμ == = " Alternative hypo: at least 2 diff ' s
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2 22 1 1 m wit i i s s m = = 3. Calculate the within groups variance 1 1 m i i Xx m = = 4. Compute the overall (grand) mean 6. Calculate the between groups variance 2 2 X bet ns s = 5. Compute standard error of the mean () 2 2 1 1 1 m i X i s xX m = =− 7. Compute the F Statistic 2 2 bet wit s F s = 1 (1 ) n d m mn ν = = Obtained form F Table Denominator degrees of freedom 8. Compare F with the Fcrit (critical value of F) .05 (, ) crit n d FF νν ) crit n d α In general
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LectureSept17 - BME 423 Lecture Notes - Sept. 17, 2008...

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