Transcription of Repeated Measures ANOVA - Stony Brook
{{id}} {{{paragraph}}}
Repeated Measures ANOVA Prof. Wei Zhu Department of Applied Mathematics & Statistics Stony Brook University 2 The One-way ANOVA we have just learnt can test the equality of several population means. It is an extension of the pooled variance t-test That is: H0 (null hypothesis) : 1 = 2 = 3 =.. = k Ha (alternative hypothesis): At least one of means differs from the rest. Assumptions: Unknown but equal population variances Normal populations Independent samples 3 The F statistic kinjiijkNkiiikjxxxxnF11211211where xij = the jth observation in the i th sample. injki,,2,1 and ,,2,1 kiinxxthinjijii,,2,1 sample for mean 1 size sample Total 1 kiinNmean Overall 11 Nxxkinjiji4 The ANOVA table kiiiBxxnSS12 WBMSMSF kiiikBxxnMS1211 kinjiijWjxxSS112 kinjiijkNWjxxMS11211 kkN Source , F Between Within The ANOVA table is a tool for displaying the computations for the F test.
The F statistic ¦ ¦k F i n j N k ij i k i k i j x x n x x 1 1 1 2 1 2 1 1 where x ij th= the jth observation in the i sample. i 1,2, , k and j 1,2, , n i i i k n x x th i n j ij i i 1 mean for sample 1,2, , Total sample size
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document:
{{id}} {{{paragraph}}}