1way Anova Independent Grs_08

# 1way Anova Independent Grs_08 - One-Way or One-Factor ANOVA...

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Example: A researcher would like to examine the effectiveness of three therapies in treating anxiety disorder. N=24 patients were randomly assigned to 3 groups and each group of 8 patients was treated by different therapy. At the end of the project the anxiety test was administer to all participants in order to measure the effectiveness of the treatment. Do the data indicate any significant difference in the effectiveness of three therapies? One-Way or One-Factor ANOVA (INDEPENDENT SAMPLES)

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ONE-WAY ANOVA (INDEPENDENT SAMPLES)

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H 0 : There are no significant differences between three therapies H 1 : There are some significant differences between three therapies.
ONE-WAY ANOVA (INDEPENDENT SAMPLES) F = MS Between (variance between grs.) MS Within (variance within grs.) MS= Mean Square = Variance – s 2 (=new term but old concept!) Reminder : in a sample variance s 2 = SS/df => MS Between = SS B (= Mean Square or Variance b/w grs.) df B => MS Within = SS w (= Mean Square or Variance within grs.) df W df B = k - 1 k = number of treatment conditions

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ONE-WAY ANOVA cont. SS Total = SS Between + SS Within SS Total = Sum of Squares Total SS Between = Sum of Squares Between Groups SS within = Sum of Squares Within Groups
SS B = 60.33 and SS W = 127.5 the rest of the computation is relatively simple: N = 24 ; k = 3 df B = k

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## 1way Anova Independent Grs_08 - One-Way or One-Factor ANOVA...

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