Microsoft Word - Assignment 3.docx
Statistical Methods I and II PSYC 2020 B
A S S I G N M E N T # 3
D u e M o n d a y , A p r i l 6 , XXXXXXXXXX , 1 0 : 0 0 p m
Guidelines:
1. Everything should be hand-written. Show your work.
2. Submit the scanned version of your hand-written assignment on Moodle.
3. The submission folder will be closed at 10:00 pm on April 6, 2020.
1. A professor decides to develop a program to wean students in two of her courses off coffee. She recruits
10 coffee-addicted students (5 students from each of the two courses: PSYC 2021 and PSYC 2022) and
alternates 3 weeks of counte
alanced treatments; complete withdrawal, gradual decrease and substitution of
another substance (he
al tea) with weeks of unrestricted coffee drinking. She counts the number of cups of
coffee imbibed during the unrestricted day following completion of each treatment. Note SSSX2= 314.
Run an analysis of variance and complete the anova table. Perform any appropriate post hoc tests using
Scheffé test.
XXXXXXXXXXPSYC 2021
Complete Gradual Substitution
1 5 4
2 4 5
3 3 1
0 5 3
0 5 4
XXXXXXXXXXPSYC 2022
Complete Gradual Substitution
3 3 3
2 3 4
3 4 3
2 3 3
1 2 4
2. How would the results have changed if the students had been the same students in both courses?
Recalculate only those SS that would change. If needed, perform post hoc tests using Tuckey’s HSD
test. The professor thinks that complete withdrawal works better than the other two methods. Can you
support her hypothesis using a planned comparison?
Mixed Models for 3- way IND . groups ANOVA
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Instructor: Ji Yeh Choi
3-way ANOVA (study note)
PSYC2020B: Statistical Methods I and II
Questions
Question #1. A professor collects data to test his hypothesis that students who ask more
questions tend to sit toward the front of the class, have more background preparation and
attend smaller classes. He collects data on 32 students who attend either small or large class.
Data are provided as follows:
Small Class (C1) Front (A1) Back (A2)
More preparation (B1) 3, 6, 3, 3 9, 3, 6, 5
Less preparation (B2) 5, 4, 2, 2 2, 3, 4, 3
Large Class (C2) Front (A1) Back (A2)
More preparation (B1) 5, 4, 3, 6 5, 3, 4, 4
Less preparation (B2) 6, 7, 3, 6 5, 2, 1, 7
1-1. Calculate the means for three 2-way interaction effects (AB, AC, and BC).
1-2. Complete the ANOVA table below.
source SS df MS F
A=location 2
B=background 3.12
C=class size 0.12
AB 8
AC 8
BC 6.13
ABC 0.5
S(ABC) 73
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HH/PSYC2020B XXXXXXXXXX)
Instructor: Ji Yeh Choi
Question #2. A researcher decides to test the effects of academic and extra-cu
icular pressures
on the number of classes students miss. She chooses at random 3 large first-year psychology
courses and surveys 192 students by asking how many classes they missed during the term. She
also noted how many courses each student was taking (2-5) and whether they have a part-time
job that requires more than 10 work hours per week (yes/no). The cell n's are equal. The cell
means (not totals) are tabled below:
# of courses # of courses
XXXXXXXXXX
Social = XXXXXXXXXX
Stats XXXXXXXXXX
Cognition XXXXXXXXXX
Jo
10 hours=no Jo
10 hours=yes
Complete the ANOVA table, and perform any appropriate post hoc LSD t-tests.
source SS
A=course 1266
B=# of courses 118.67
C= job 5.33
AB 35.33
AC 4.67
BC 18.67
ABC 27.33
S(ABC) 856
Question #3. If the researcher in question #2 had not separated the students according to
course, the result would have been a two-way design. Simply by manipulating the values in
your ANOVA table for #2 (be explicit how you are doing this) and without completely
ecalculating the SS from the means or totals, show how the ANOVA table would change.
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1
Instructor: Ji Yeh Choi ( XXXXXXXXXX)
Unless otherwise noted, all material posted for this course are copyright of the instructor,
and cannot be reused or reposted without the instructor’s written permission.
Statistical methods 1
PSYC XXXXXXXXXXStatistical Methods I and II
York University
Psychology Department
Topic 7: Three-way ANOVA & Non-parametric
Outline for today
Statistical methods 2
• Three-way ANOVA
• Nonparametric tests
2
3
Parental
Supervision (A)
Age (B) Favourite Activity (C) Aggression
High (A1) Primary
school (B1)
Computer games (C1) 5
TV (C2) 5
Secondary
school (B2)
Computer games (C1) 5
TV (C2) 5
Low (A2) Primary
school (B1)
Computer games (C1) 5
TV (C2) 8
Secondary
school (B2)
Computer games (C1) 8
TV (C2) 5
Three-way ANOVA
Statistical methods
4
Three-way ANOVA
• Main effect of supervision (A)
• Collapsed over Age and Activity (B & C)
Parental Supervision (A) Age (B) Favourite Activity (C) Aggression
High (A1) Primary
school (B1)
Computer games (C1) 5
TV (C2) 5
Secondary
school (B2)
Computer games (C1) 5
TV (C2) 5
Low (A2) Primary
school (B1)
Computer games (C1) 5
TV (C2) 8
Secondary
school (B2)
Computer games (C1) 8
TV (C2) 5
Statistical methods
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