02_Oneway2

02_Oneway2 - Oneway ANOVA in SPSS (Data layout) b. In SPSS...

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1 Oneway ANOVA in SPSS a. Data Table b. In SPSS score group 46 1 47 1 49 1 50 1 53 1 52 2 54 2 55 2 58 2 61 2 49 3 50 3 51 3 51 3 54 3 Group 1 Group 2 Group 3 46 52 49 47 54 50 46 55 51 50 58 51 53 61 54 mean 49 56 51 (Data layout) (To Execute the Analysis) 1. The command menu Analyze --> Compare Means --> One-Way ANOVA 2. Dialog Box •Dependent List --> <score> •Factor --> <group> •[Contrast] --> choose none (default) •[Post Hoc] --> choose none (default) •[Options] --> [Statistics] --> [Descriptive]

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2 Descriptives SCORE 5 49.0000 2.7386 1.2247 45.5996 52.4004 46.00 53.00 5 56.0000 3.5355 1.5811 51.6101 60.3899 52.00 61.00 5 51.0000 1.8708 .8367 48.6771 53.3229 49.00 54.00 15 52.0000 4.0000 1.0328 49.7849 54.2151 46.00 61.00 1.00 2.00 3.00 Total N Mean Std. Deviation Std. Error Lower Bound Upper Bound 95% Confidence Interval for Mean Minimum Maximum ANOVA SCORE 130.000 2 65.000 8.298 .005 94.000 12 7.833 224.000 14 Between Groups Within Groups Total Sum of Squares df Mean Square F Sig. SSBG df BG = p - 1 MSBG = SSBG/ df BG SSWG df WG = p ( n - 1) MSWG = SSWG/ df WG SSTOT df TOT = df BG + df WG = 2 + 12 = 14 or = pn - 1 = 15 - 1 = 14 F = MSBG/MSWG p -value Assumptions in ANOVA (pp.97-103) F statistic assumptions: A1: Observations are drawn from normally distributed population. Robust with “equal n ”, and n > 12. A2: Observations are random samples from the population, or subjects are randomly assigned to groups. Not robust. A3: MSBG and MSWG are independent Robust with A1 A4: MSBG and MSWG are estimates of the same thing. Always true under the null hypothesis
3 B1: The model y ij = μ + α j + ε i ( j ) contains all of the sources of variation. Always true if it is consistent with the design. B3: The error effect, ε i ( j ) is; (a) independent of all other ε i ( j ) Not robust, but random sampling almost always guarantee this. (b) normally distributed within each group Robust (c) mean equal to 0. guaranteed by the model (d) variance = σ 2 ε for all groups. Robust with (i) equal

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This note was uploaded on 11/27/2011 for the course EDF 5402 taught by Professor Thomasbaldwin during the Fall '09 term at FSU.

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02_Oneway2 - Oneway ANOVA in SPSS (Data layout) b. In SPSS...

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