A factorial analysis of variance is quite straight-forward in R as long as we have equal sample sizes. Things do get a bit messy if the sample sizes are unequal, and I will touch on that very briefly in the code below. I will use the data from Table 17.3 as an example. It represents a 2 X 5 analysis of variance.
CONTENTS xi 10.3 Power and Sample Size . . . . . . . . . . . . . . . . . . . 235 10.4 Two-Series Factorials . . . . . . . . . . . . . . . . . . . . 236
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This video demonstrates how to conduct and interpret a Welch test in SPSS. The Welch test is used with unequal sample sizes and when the homogeneity of varia...

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  • around that effect size measure. Note the fractional degrees of freedom for the main tests; this is common when reporting the results based on unequal variances. A Between-Subjects Factorial ANOVA Data were analysed using a 4 x 2 between-subjects factorial ANOVA. The first factor consisted of the four memory enhancement

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the ANOVA as within groups variance is based on the relationship between the different sample sizes in the different groups instead of a simple pooled variance estimate (Lantz,2013). The R Journal Vol. 10/1, July 2018 ISSN 2073-4859

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  • ANALYSIS OF VARIANCE (ANOVA) Expected Outcomes Able to use the one way ANOVA technique to determine if there is a significant difference among three or more means when sample sizes are equal or unequal. Able to use the two way ANOVA technique to determine if there is an effect of interaction between two factors in an experiment.
  • ou will submit one Word document for this activity. You will create this Word document by cutting and pasting SPSS output into Word.This assignment consists of two parts. In the first part you will utilize an existing dataset to compute a factorial ANOVA. All SPSS output should be pasted into your Word document. In the […]

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Performing Three-Way ANOVA. Choose menu Help: Learning Center to open Learning Center dialog. Select Analysis Sample in the left side and then choose Statistics - ANOVA from the Samples in drop-down list in the right side. Double-click on third item in the list box to open the folder Three Way ANOVA. Click on worksheet Sheet1 containing the ...

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This function demonstrates drawing power curves for different sample size and effect size settings. N and f can be either a single value or a sequence of values, but they cannot be single values simultaneously. The combination of them could be (a sequence of n, a sequence of f), (a sequence of n, a single f), or (a single n, a sequence of f).

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Your writing assignment is to write up the results of the ANOVA that you just conducted. You can follow the general recipe from the ANOVA write-up from the previous lab on factorial designs. Your write up will be in two parts (3 points total) Part 1. Say what the numbers were that you are analyzing; Say what the statistical test was

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Sample size group 1 = 920 Sample size group 2 = 920 Total sample size = 1840 Actual power = 0.9501016 Unequal Sample Sizes Lowers Power The power of a one-way ANOVA is determined not only by the total sample size but also about the allocation ratios (for each group, what proportion of the total N is in that group). As with t tests,

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Though it can be used for unequal categories, if the sample size too low, as you have mentioned (7, 8 samples in a category) the result will not be statistically significant. Cite Popular Answers (1)

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