lecture15note - Psych 100A Winter 2010 Lecture 15:...

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1 Psych 100A Winter 2010 Lecture 15: One-Factor Between- Subjects Analysis of Variance One-factor multilevel design • One-factor multilevel design is also called a one-way multilevel design – A type of experiment with one independent variable that has three or more levels –A t test cannot be used to analyze this kind of design – Instead, an analysis of variance (ANOVA) is used to test statistical hypotheses with this experimental design The problem with using Many t- tests • When we have three groups there are 3 two- way comparisons • Four groups 6 two-way comparison Four groups, 6 two way comparisons • N groups, N*(N-1)/2 two-way comparisons Type I error rate increases Better Alternative: One-factor Between-Subjects ANOVA • Assumptions regarding the study design – The scores in each sample are drawn randomly from the population – The scores are drawn independently – The scores in the populations sampled are normally distributed – The variances of the scores in the population are equal Graphical Depiction
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2 Terms • Grand mean – Symbolized as – The mean for all of the scores in the experiment • Mean square G X – Symbolized as MS – Another term for variance, used in ANOVA • Within-groups error variance – Symbolized as MS Error – Measures only the error variance Terms (continued) • Between-groups variance – Symbolized as MS A
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lecture15note - Psych 100A Winter 2010 Lecture 15:...

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