Children in kindergarten were measured on various instruments to determine wheth
ID: 3057855 • Letter: C
Question
Children in kindergarten were measured on various instruments to determine whether they could be classified as low risk or high with respect to having reading problems later on in school. The variables considered were word identification (WI), word comprehension (WC) and passage comprehension (PC). The dataset corresponding to two groups of children are presented below
(a) Read the dataset in R and display it
(b) Extract the data frame corresponding to “Group=1” and “Group=2”, separately,
and display them
(c) Consider the data frame corresponding to Group 1 only. Test if the population mean vector = (6.5, 7, 8.2) and draw appropriate conclusion. Use =0.05. Note that if the hypothesis is rejected, you do not have to comment on which component of the mean vector led to the rejection
(d) If the test in part (c) is rejected, identify the component(s) of the mean vector that led to the rejection by using Bonferonni’s and T2 methods. Draw appropriate conclusion in each case
(e) From (d), comment on the difference between the two methods
(f) Consider the data frame corresponding to group 2 only. Repeat (c) - (e) using 0 = (6, 4, 5.5)
PLEASE INCLUDE THE CODE IN ANSWERS
Explanation / Answer
Children in kindergarten were measured on various instruments to determine whether they could be classified as low risk or high with respect to having reading problems later on in school. The variables considered were word identification (WI), word comprehension (WC) and passage comprehension (PC). The dataset corresponding to two groups of children are presented below
(a) Read the dataset in R and display it
(b) Extract the data frame corresponding to “Group=1” and “Group=2”, separately,
and display them
(c) Consider the data frame corresponding to Group 1 only. Test if the population mean vector = (6.5, 7, 8.2) and draw appropriate conclusion. Use =0.05. Note that if the hypothesis is rejected, you do not have to comment on which component of the mean vector led to the rejection
(d) If the test in part (c) is rejected, identify the component(s) of the mean vector that led to the rejection by using Bonferonni’s and T2 methods. Draw appropriate conclusion in each case
(e) From (d), comment on the difference between the two methods
(f) Consider the data frame corresponding to group 2 only. Repeat (c) - (e) using 0 = (6, 4, 5.5)
PLEASE INCLUDE THE CODE IN ANSWERS
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