U of T Statistical Methods Question
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ASSIGNMENT #1
Due Wed, Feb. 2, 2023, 11:59pm
ALL QUESTIONS should be ATTEMPTED and NEATLY ORGANIZED.
SHOW YOUR WORK.
1.
An experiment was performed to assess whether exposure to various dust types (sterile vs
pig excrement vs moose excrement) was related to the number of asthma attacks suffered
by children in the 1-year period following exposure. The researcher measured the number
of attacks suffered by 18 children during the year following repeated exposure to (one type
of) dust. Perform the analysis with post hoc LSD t-tests if needed, table the results and
#
write a short report. Note ? ? X!”
= 2552.
Type of Dust
Sterile
7
17
19
20
16
11
2.
Pig
7
16
7
13
8
9
Moose
11
10
5
7
7
8
This year, departing graduate students in several faculties were asked to report the number
of years they had spent to complete their PhD thesis requirements. Answer all questions
from (a) to (e).
a) Complete the ANOVA table below. Show how you completed the calculations of (i) to
(iii).
Source
F=faculty
S(F)
SS
16.5
54.0
df
(i)
(ii)
MS
1.5
(iii)
F
2
Briefly answer the following:
b) How many faculties were compared?
c) How many students per faculty participated, assuming equal n’s?
d) Is there is a difference among the faculties on the amount of time spent on their theses?
e) What is the effect size for the main effect of faculty?
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