Question

Minitab Assignment.

An experiment is designed to investigate how well children and adults memorize2. There are three factors in the experiment. Type of test: Subjects are either asked to recall or to recognize the stimuli. In the recall test, subjects are asked to state the names of as many of the stimuli as they can. On each recognition test trial, subjects are asked to pick out the one stimulus that had been presented from a set of four stimuli. Age: 10-year old children and adults are compared. Type of stimulus: The stimuli to be remembered are presented either as pictures or as words. The experiment can therefore be described as an Age (2) x Type of stimulus (2) x Type of test (2) factorial design. There were five subjects in each of the eight conditions. Their scores are presented in the following table Recognition Recall Children Adults Children Adults Pictures Words Pictures Words Pictures Words Pictures Words 90 826 92 91 665983 65 70 70 85 85 92 87 92 91 90 84 85 69 71 58 60 49 82 72 83 Questions: Create and analyze this experiment as a 23 factorial design. What are the factors that significantly contribute to children and adults' memories? (for all main and interaction) Are there any data points that you believe to be outliers? If so, remove them and perform the analysis again. I. 2. 3. 4. Compare the model validity and adequacy before and after the removal of outlier(s). 5. Identify the significant and insignificant factors by creating the Normal Effects Plot. 6. Identify and highest and lowest settings (i.e., combinations of type of test, age, and type of stimulus) for memories by using appropriate plot(s) Are you able to generate a set of contour plots for this experiment? If so, show these plots. If not, explain the reason. 7.

Answer 1

we will use minitab for this answer

we are to test

H0: all 5 levels are equal

vs

H1: not H0

the ANOVA table is

Source DF SS MS F P
factor 4 475.76 118.94 14.76 0.000
Error 20 161.20 8.06
Total 24 636.96

S = 2.839 R-Sq = 74.69% R-Sq(adj) = 69.63%

p-value is zero so we are rejecting H0 and comment that all levels are not same.

comparite Plot 25 20 a 15 10 4 cotton

b)

plot of level avg vs cotton 20 18 16 ー 14 12 10 15 25 cotton 20 30 35