please show work for all parts. Thank you To test whether memory changes with ag
ID: 3244570 • Letter: P
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please show work for all parts. Thank you
To test whether memory changes with age, a researcher conducts an experiment in which there are four groups of six subjects each. The groups differ according to the age of subjects. In group 1, the subjects are each 30 years old: group 2, 40 years old: group 3, 50 years old: and group 4, 60 years old. Assume that the subjects are all in good health ad that the groups are matched on other important variables such as years of education, IQ, gender motivation, and so on. Each subject is shown a series of nonsense syllables at a rate of one syllable every 4 seconds. The series is shown twice after which the subjects are asked to write down as many of the syllables as they can remember. The number of syllables remembered by each subject is shown here: Compute one-way ANOVA on the computer and the special Fs for Welch and Brown & Forsythe to use when you have heterogeneity of variance and unequal sample sizes and copy and paste the output below. a) transform the data to squareroot s and compute a one-way anova (paste the anova output table below) b) transform the data to log 10 and compute a oneway anova (paste the anova output table below) c) convert all the data to proportions (ie. divide each number by 100, the compute the arcsine of the squareroot transformation then compute a one-way anoya on the computer, (baste the anova output table below) d) If you find significant group differences, find out which means are different from each other using the Bonferroni test, Tukey test, the Neuman Keuls test and the LSD test (Show all your work below). e) Compute omega squared and Cohen's f show all your work belowExplanation / Answer
We used excel add in 1-way ANOVA on original data and found that all the samples are significantly different at 5% level:
a) After working on sqrt of the dataset we got similar results:
b) taking log-10: result is again similar:
c) taking proportion, the result is exactly the same as with original data:
Anova: Single Factor SUMMARY Groups Count Sum Average Variance 30Y 6 81 13.5 5.9 40Y 6 84 14 7.6 50Y 6 82 13.66667 7.066667 60Y 6 53 8.833333 6.166667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 108.3333 3 36.11111 5.403159 0.006893 3.098391 Within Groups 133.6667 20 6.683333 Total 242 23Related Questions
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