(Step-by-Step) 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


Question:

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 40 Years 50 Years 60 Years

Old Old Old Old

14 12 17 13

13 15 14 10

15 16 14 7

17 11 9 8

12 12 13 6

10 18 15 9

  1. Compute one-way anova on the computer and the special Fs for Welch and Brown & Forsythe to test to use when you have heterogeneity of variance and unequal sample sizes and compute omega squared and cohen’s f.
    ώ 2 = (SSB-(k-1)MS within)
    (SSt+MS with)
    ώ 2 =
    Cohen’s F SQRT (k-1)(MSbet-MSwith)
    knMSwith
    Cohen’s F is the SQRT of the entire expression above
    Cohen’s F

    Small=.1, medium =.25, large =.4
  2. transform the data to square roots and compute a one-way anova. Place the F ration here _________________

Y’= SRT (Y) If values of X are small (less than 10) then use Y’= SQRT (X+.5)

e) If you find significant group differences, find out which means are different from each other using the Tukey test, the Neuman Keuls, the bonferroni test and the LSD test. Do these tests by hand and on the computer.

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