SPSS
ASSIGNMENT #6
Analysis
of Variance
SPSS
instructions:
Open
SPSS
Analyze
the data for #1. Remember that SPSS assumes that all the scores in a row are
from the same participant. In this study, there are 15 participants divided
into three groups of five. Therefore, each of the 15 participants will be
described by two variables, type of therapy and the number of activities of
daily living performed.
If
â1â
represents the group receiving individual therapy for 1 hour every 2 weeks, â2â represents the group
receiving 1 hour of individual therapy each week, and â3â indicates the group receiving
2 hours of individual therapy each week, the first participant will be
described by entering â1â
in the top cell of the first column in the Data View window and â16â in the top cell of the
second column to indicate that the participant underwent 1 hour of therapy
every 2 weeks and performed 16 activities of daily living. The second
participant will be described by â1â
and â15â,
and the third by â1â
and â18â.
When
the two variables have been entered for the five participants in this group,
repeat the process for participants who underwent 1 hour of individual therapy
each week, using â2â
to describe their therapy group. When the two variables for the five participants
in this group have been entered, repeat the process for Group 3, entering â3â in the first column. In the
Variable View window, change the first variable name to âTHERAPYâ and the
second to âADLâ and set the decimals for both to zero.
Click
AnalyzeÃ
Compare Meansà One-Way ANOVAà Since âTHERAPYâ
is already selected, you can click the arrow to move the variable to the Factor
window. Select âADLâ and click the arrow to move the variable to the Dependent
List window, which instruct SPSS to conduct the analysis of variance on the
number of activities performed.
1.
Keep
in mind that the clients in Group 1 will receive 1 hour of therapy every 2
weeks, the clients in Group 2 will receive 1 hour of therapy every week, and
the clients in Group 3 will receive 2 hours of therapy every week.
Use the five steps of hypothesis testing
to determine whether the observed differences in the number of activities in
the following table performed by the three groups are statistically significant
at the .05 level of significance. Clearly indicate each of the five steps.
Calculate the effect size for the study.
Explain your results.
CLIENT
GROUP
1
GROUP
2
GROUP
3
1
16
21
24
2
15
20
21
3
18
17
25
4
21
23
20
5
19
19
22
ANOVA: Analysis of effect of behavioral scientists
testimony on trial outcomes
Research
Question: Is there any significant difference between effects of behavioral
scientists testimonies on the trial outcomes as perceive by the Judges,
Attorneys, Jurors and Law Enforcement officials?
2.
A
researcher interested in the relationship between student perception of the
probability of success in a statistics course and student motivation has
administered an inventory designed to assess motivation in 18 students.
The students have been divided into
groups as follows: Students in Group 1 believe they are highly likely to
succeed in the course, students in Group 2 believe they have an intermediate
probability of success, and students in Group 3 believe they have little chance
of success.
Use the five steps of hypothesis testing
to determine whether the observed differences in level of motivation in the
following table are statistically significant at the .05 level of significance.
Clearly indicate each of the five steps.
Calculate the effect size for the
study. Explain the results of the
hypothesis-testing procedure to someone who is familiar with the t test for
independent means, but not with analysis of variance.
SUBJECT
GROUP
1 (HIGH)
GROUP
2 (INTERMEDIATE)
GROUP
3 (LOW)
1
9.0
3.5
4.5
2
8.5
5.5
5.5
3
6.5
6.5
6.5
4
7.0
3.5
8.0
5
8.0
4.5
5.5
6
5.5
7.0
6.0
Research Question: Is there any difference between
mean motivation levels of the three groups of studentsâ with different levels
of perceived probability of success in course?
3.
Due
to the increasing number of trails involving testimony by behavioral
scientists, a professional organization of behavior scientists asked judges,
attorneys, jurors, and law enforcement officials to use a 10-point scale to
rate the effect of such testimony on trial outcomes.
The results are presented in the table
below. Use the five steps of hypothesis testing to determine whether the
observed differences in effectiveness ratings are statistically significant at
the .01 level of significance. Clearly indicate each of the five steps.
Calculate the effect size for the
study. Explain your results.
CATEGORY
N
M
S2
Judges
6
7.00
1.99
Attorneys
6
5.83
1.37
Jurors
6
7.83
1.37
Law
Enforcement
6
3.00
3.61
Research Question: Is there any difference between
effects of three types of therapies on the number of activities performed by
the clients?