week 9.docx - Week 9 • Another application of hypothesis testing o o One way analysis of variance • Evaluate the difference amog the means of three

week 9.docx - Week 9 • Another application of hypothesis...

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Week 9 Another application of hypothesis testing o One way analysis of variance Evaluate the difference amog the means of three or more populations Assumptions Populations normally distributed Equal variances Samples are randomly and independently drawn o Hypothesis of one – way anova All population means are equal No variation in means among populations H 0: μ 1 = μ 2 = = μ k At least on population mean is different Does not mean that all population means are different Some population pairs may be the same H a :at least one of the means is different from others
o Partitioning the variation o Total variation can be split into two parts o SST = SSC + SSE o SST = total sum of squares Total variation Aggregate dispersion of the individual data values across various populations SST = i = 1 C j = 1 n i ( x ij − ´ x ) 2 C = number of populations n i = sample size from population i x ij = j th measurement from population i

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• Fall '14
• IgnacioCastillo

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