1 Computer assignment 3 Fall 2016 15 points sec 02 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: 30 Years Old 14 13 15 17 12 10 40 Years Old 12 15 16 11 12 18 50 Years Old 17 14 14 9 13 15 60 Years Old 13 10 7 8 6 9 a) 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 compute omega squared and cohen's f. (place all your work below) Omega Squared ________ Cohen's f ____________ b) transform the data to square roots and compute a one-way anova (paste the anova output table below) 2 c) transform the data to log 10 and compute a oneway anova (paste the anova output table below) d) convert all the data to proportions (ie. divide each number by 100, the compute the arcsine of the square root transformation then compute a one-way anova on the computer. (paste the anova output table below) e) 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). Specifically, show how you rank the means and calculate the differences between the means. Show how you calculated the critical differences and show what the conclusions are by explitly stating which means differ and in what direction