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After determining that the question is inferential in 
nature, we then must classify it as one of the following:
After determining that the question is inferential in 
nature, we then must classify it as one of the following:
These four classifications encompass the majority of 
inferential statistical methods that exist.
So, let’s begin with . . .
So, let’s begin with . . . 
Drum-roll please?
Questions of difference
Questions of difference
Questions of difference
As a general rule, a question of difference asks if one 
group is different, similar, or comparable to another 
group in terms of some outcome.
Let’s see this visually:
Let’s see this visually: 
Group 1
Let’s see this visually: 
Group 1 
is different, 
similar, or 
comparable 
to
Let’s see this visually: 
is different, 
similar, or 
comparable 
Group 1 Group 2 
to
Let’s see this visually: 
is different, 
similar, or 
comparable 
Group 1 Group 2 based on 
to
Let’s see this visually: 
Group 1 based on Some 
Outcome 
Group 2 
is different, 
similar, or 
comparable 
to
Let’s look at an example:
Researchers want to determine who drives 
faster women or men.
Researchers want to determine who drives 
faster women or men.
Researchers want to determine who drives 
faster women or men. 
Group 1 based on Some 
Outcome 
Group 2 
is different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
Group 1 based on Some 
Outcome 
Group 2 
is different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
MEN 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on Some 
Outcome 
MEN 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
WOMEN based on DRIVING 
SPEED 
MEN 
are different, 
similar, or 
comparable 
to
Researchers want to determine who drives 
faster women or men. 
are different, 
similar, or 
comparable 
WOMEN based on DRIVING 
SPEED 
MEN 
to 
Therefore, this is a 
question of Difference
Here is another example,
A study seeks to understand if teenagers are 
more likely to text while driving than adults.
A study seeks to understand if teenagers are 
more likely to text while driving than adults.
A study seeks to understand if teenagers are 
more likely to text while driving than adults. 
Group 1 based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
A study seeks to understand if teenagers are 
more likely to text while driving than adults. 
Group 1 based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
are different, 
similar, or 
comparable 
Group 1 based on Some 
to 
Outcome 
Group 2
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
are different, 
similar, or 
comparable 
TEENAGERS based on Some 
to 
Outcome 
Group 2
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
Group 2 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
ADULTS 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
ADULTS 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
TEENAGERS based on Some 
Outcome 
ADULTS 
are different, 
similar, or 
comparable 
to
Investigators seeks to understand if teenagers 
are more likely to text while driving than adults. 
They administer an anonymous survey to each 
group and compare the results. 
are different, 
similar, or 
comparable 
TEENAGERS based on 
TEXTING 
WHILE 
DRIVING 
ADULTS 
to 
Therefore, this is a 
question of Difference
Now let’s see an example examining the 
difference between three groups.
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen.
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen.
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
Group 1 
are different, 
similar or 
comparable to one 
another 
based on 
Some 
Outcome 
Group 2 & Group 3
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
Group 1 
Some 
Outcome 
Group 2 & Group 3 
are different, 
similar or 
comparable to one 
another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
Group 2 & Group 3 
are different, 
similar or 
comparable to one 
another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
Group 2 & Group 3 
are different, 
similar or 
comparable to one 
another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
TEENAGERS & Group 3 
are different, 
similar or 
comparable to one 
another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
TEENAGERS & Group 3 
are different, 
similar or 
comparable to one 
another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
TEENAGERS & COLLEGE 
FRESHMEN 
are different, 
similar or 
comparable 
to one another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
TEENAGERS & COLLEGE 
FRESHMEN 
are different, 
similar or 
comparable 
to one another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
Some 
Outcome 
TEENAGERS & COLLEGE 
FRESHMEN 
are different, 
similar or 
comparable 
to one another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS TEENAGERS & COLLEGE 
FRESHMEN 
Some 
Outcome 
are different, 
similar or 
comparable 
to one another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
TIME SPENT 
ON 
ELECTRONICS 
TEENAGERS & COLLEGE 
FRESHMEN 
are different, 
similar or 
comparable 
to one another 
based on
Investigators wish to determine who spends 
more time on electronics: tweens, teenagers or 
college freshmen. 
TWEENS 
TIME SPENT 
ON 
ELECTRONICS 
TEENAGERS & COLLEGE 
FRESHMEN 
are different, 
similar or 
comparable 
to one another 
Therefore, this is a quebsatseiod onn of 
Difference between more than two 
groups
This time, let’s see an example where we are 
looking at similarities between two groups 
instead of differences:
The average score nationwide on the verbal 
section of the GRE is 610.
The average score nationwide on the verbal 
section of the GRE is 610.
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores.
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population.
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a sample 
of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
A 
population 
A sample
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Group 1 
A 
population
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
A 
population
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
A 
population
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
A 
population
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
A 
population
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
Population 
of Grad 
Students
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
Population 
of Grad 
Students
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on Some 
Outcome 
Sample of 
50 Grad 
Students 
Population 
of Grad 
Students
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
is similar to based on 
GRE 
Verbal 
Scores 
Population 
of Grad 
Students 
Sample of 
50 Grad 
Students
The average score nationwide on the verbal 
section of the GRE is 610. A researcher wants to 
do an experiment on a group (or sample) of 
graduate students that represent those with 
typical GRE verbal scores. So, she takes a 
sample of 50 grad students to see if they have 
statistically similar GRE verbal scores to the 
population. 
Therefore, this is a question of 
Similarity is similar between to a sample based on 
and a 
population, but classified as difference 
GRE 
Verbal 
Scores 
The 
Population 
of Grad 
Students 
A Sample 
of 50 
Grad 
Students
In many studies the only difference is that one 
group experiences something and the other 
group does not experience it.
In many studies the only difference is that one 
group experiences something and the other 
group does not experience it. 
The group that experiences or is given 
something is generally known as the 
“experimental” or “treatment” group.
In many studies the only difference is that one 
group experiences something and the other 
group does not experience it. 
The group that experiences or is given 
something is generally known as the 
“experimental” or “treatment” group.
In many studies the only difference is that one 
group experiences something and the other 
group does not experience it. 
The group that does not experience nor is given 
something is generally known as the “control” 
group.
Here is how a problem like this is generally 
written:
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 1 is different Group 2 
than
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 1 is different Group 2 
than
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 2 
Group 
using 
software 
is different 
than
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 2 
Group 
using 
software 
is different 
than
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 
NOT using 
software 
Group 
using 
software 
is different 
than
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on Some 
Outcome 
Group 
using 
software 
is different 
than 
Group 
NOT using 
software
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
based on 
AP Stats 
Exam 
Scores 
Group 
using 
software 
is different 
than 
Group 
NOT using 
software
In some situation the difference will not be 
between two groups,
In some situation the difference will not be 
between two groups, but between the same 
group on two or more different occasions or 
times.
Let’s see a visual of that:
Let’s see a visual of that: 
Group 1 
(Time 1)
Let’s see a visual of that: 
Group 1 
(Time 1) 
is different 
than
Let’s see a visual of that: 
Group 1 
(Time 2) 
Group 1 
(Time 1) 
is different 
than
Let’s see a visual of that: 
Group 1 
(Time 2) 
Group 1 
(Time 1) 
is different 
than 
The time is 
different but the 
group is the same
Let’s see a visual of that: 
Group 1 based on 
(Time 2) 
Group 1 
(Time 1) 
is different 
than
Let’s see a visual of that: 
based on Some 
Outcome 
Group 1 
(Time 2) 
Group 1 
(Time 1) 
is different 
than
Here is an example of this:
An anti-boredom medication has been developed 
by scientists to combat boredom.
An anti-boredom medication has been developed 
by scientists to combat boredom.
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks.
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared.
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
Group 1 
(Time 2) 
Group 1 
(Time 1) 
is different 
than
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
Group 1 
(Time 2) 
is different 
than 
Group 1 
(Time 1)
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
Group 1 
(Time 2) 
The Group 
BEFORE 
taking 
medication 
is different 
than
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
Group 1 
(Time 2) 
The Group 
BEFORE 
taking 
medication 
is different 
than
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to 
Group 1 
(Time 2)
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and 
the results are compared. 
based on Some 
Outcome 
Group 1 
(Time 2) 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and 
the results are compared. 
based on Some 
Outcome 
The Group 
AFTER 
taking 
medicaion 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
The Group 
AFTER 
taking 
medicaion 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Some 
Outcome 
The Group 
AFTER 
taking 
medicaion 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to
An anti-boredom medication has been developed 
by scientists to combat boredom. A group of 
students who report being bored with school are 
administered a boredom survey and then 
administered the anti-boredom medication for 
three weeks. At the beginning of the fourth week 
the boredom survey is administered again and the 
results are compared. 
based on Degree of 
Boredom 
The Group 
AFTER 
taking 
medicaion 
The Group 
BEFORE 
taking 
medication 
is different 
than or 
comparable 
to
Finally, let’s look at a “difference” problem that 
has a lot of other elements in it, that may make 
it difficult to classify as difference.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison the scientist 
control for year in school as well as IQ scores.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups Wow, are selected. there One is group a lot 
uses the 
innovative software going and on the here! 
other group does 
not. Their exam scores are then compared. 
After running this comparison the scientist 
control for year in school as well as IQ scores.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student The AP stats first exam thing scores we across need 
gender. 
Two groups to do are selected. is determine One group uses if 
the 
innovative software and the other group does 
not. Their there exam scores is a are difference 
then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
here.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Are there two or more 
groups?
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Are there two or more 
groups?
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Are there two or more 
groups?
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Yes, there are two 
groups
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Are we looking for differences, 
similarities or comparisons?
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Are we looking for differences, 
similarities or comparisons?
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
Even though there are many 
other things going on in this 
problem, like
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Questions Their exam about scores the are role 
then compared. 
After of gender running on this the comparison results 
control for year in 
school as well as IQ scores.
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
or year in school
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
or IQ scores
Scientist wish to determine the effect of an 
innovative instructional software on high school 
student AP stats exam scores across gender. 
Two groups are selected. One group uses the 
innovative software and the other group does 
not. Their exam scores are then compared. 
After running this comparison control for year in 
school as well as IQ scores. 
The CENTRAL FOCUS of the question is on the 
difference between the GROUP who uses the 
software and the GROUP who does not.
In summary
Questions of difference essentially examine the 
difference, similarity or comparison between 
two or more groups based on some outcome.
Questions of difference essentially examine the 
difference, similarity or comparison between 
two or more groups based on some outcome. 
Group 1 based on Some 
Outcome 
Group 2 
is different, 
similar, or 
comparable 
to
At times, there may be more than two groups in 
the problem or research question.
At times, there may be more than two groups in 
the problem or research question. 
Group 1 
are different, 
similar or 
comparable to one 
another 
based on 
Some 
Outcome 
Group 2 & Group 3
Some times those differences are between two 
groups or the same group at two different times.
Some times those differences are between two 
groups or the same group at two different times. 
based on Some 
Outcome 
Group 1 
(Time 2) 
Group 1 
(Time 1) 
is different 
than
And at times you may be examining how similar 
or representative a sample is to a population.
And at times you may be examining how similar 
or representative a sample is to a population. 
is similar to based on Some 
Outcome 
A 
population 
A sample
Some of the words to look for in your problem to 
determine if it is a question of difference are:
Some of the words to look for in your problem to 
determine if it is a question of difference are: 
• More 
• Statistically different 
• Two groups 
• Two samples 
• Etc.
Examine the question or problem you are 
working on.
Is it a question of difference?
If so, select DIFFERENCE
If so, select DIFFERENCE

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Comparing Groups to Determine Differences or Similarities

  • 1. After determining that the question is inferential in nature, we then must classify it as one of the following:
  • 2. After determining that the question is inferential in nature, we then must classify it as one of the following:
  • 3. These four classifications encompass the majority of inferential statistical methods that exist.
  • 4. So, let’s begin with . . .
  • 5. So, let’s begin with . . . Drum-roll please?
  • 9. As a general rule, a question of difference asks if one group is different, similar, or comparable to another group in terms of some outcome.
  • 10. Let’s see this visually:
  • 11. Let’s see this visually: Group 1
  • 12. Let’s see this visually: Group 1 is different, similar, or comparable to
  • 13. Let’s see this visually: is different, similar, or comparable Group 1 Group 2 to
  • 14. Let’s see this visually: is different, similar, or comparable Group 1 Group 2 based on to
  • 15. Let’s see this visually: Group 1 based on Some Outcome Group 2 is different, similar, or comparable to
  • 16. Let’s look at an example:
  • 17. Researchers want to determine who drives faster women or men.
  • 18. Researchers want to determine who drives faster women or men.
  • 19. Researchers want to determine who drives faster women or men. Group 1 based on Some Outcome Group 2 is different, similar, or comparable to
  • 20. Researchers want to determine who drives faster women or men. Group 1 based on Some Outcome Group 2 is different, similar, or comparable to
  • 21. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome Group 2 are different, similar, or comparable to
  • 22. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome Group 2 are different, similar, or comparable to
  • 23. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome Group 2 are different, similar, or comparable to
  • 24. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome Group 2 are different, similar, or comparable to
  • 25. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome MEN are different, similar, or comparable to
  • 26. Researchers want to determine who drives faster women or men. WOMEN based on Some Outcome MEN are different, similar, or comparable to
  • 27. Researchers want to determine who drives faster women or men. WOMEN based on DRIVING SPEED MEN are different, similar, or comparable to
  • 28. Researchers want to determine who drives faster women or men. are different, similar, or comparable WOMEN based on DRIVING SPEED MEN to Therefore, this is a question of Difference
  • 29. Here is another example,
  • 30. A study seeks to understand if teenagers are more likely to text while driving than adults.
  • 31. A study seeks to understand if teenagers are more likely to text while driving than adults.
  • 32. A study seeks to understand if teenagers are more likely to text while driving than adults. Group 1 based on Some Outcome Group 2 are different, similar, or comparable to
  • 33. A study seeks to understand if teenagers are more likely to text while driving than adults. Group 1 based on Some Outcome Group 2 are different, similar, or comparable to
  • 34. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. are different, similar, or comparable Group 1 based on Some to Outcome Group 2
  • 35. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. are different, similar, or comparable TEENAGERS based on Some to Outcome Group 2
  • 36. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome Group 2 are different, similar, or comparable to
  • 37. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome Group 2 are different, similar, or comparable to
  • 38. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome Group 2 are different, similar, or comparable to
  • 39. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome ADULTS are different, similar, or comparable to
  • 40. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome ADULTS are different, similar, or comparable to
  • 41. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. TEENAGERS based on Some Outcome ADULTS are different, similar, or comparable to
  • 42. Investigators seeks to understand if teenagers are more likely to text while driving than adults. They administer an anonymous survey to each group and compare the results. are different, similar, or comparable TEENAGERS based on TEXTING WHILE DRIVING ADULTS to Therefore, this is a question of Difference
  • 43. Now let’s see an example examining the difference between three groups.
  • 44. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen.
  • 45. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen.
  • 46. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. Group 1 are different, similar or comparable to one another based on Some Outcome Group 2 & Group 3
  • 47. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. Group 1 Some Outcome Group 2 & Group 3 are different, similar or comparable to one another based on
  • 48. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome Group 2 & Group 3 are different, similar or comparable to one another based on
  • 49. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome Group 2 & Group 3 are different, similar or comparable to one another based on
  • 50. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome TEENAGERS & Group 3 are different, similar or comparable to one another based on
  • 51. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome TEENAGERS & Group 3 are different, similar or comparable to one another based on
  • 52. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome TEENAGERS & COLLEGE FRESHMEN are different, similar or comparable to one another based on
  • 53. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome TEENAGERS & COLLEGE FRESHMEN are different, similar or comparable to one another based on
  • 54. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS Some Outcome TEENAGERS & COLLEGE FRESHMEN are different, similar or comparable to one another based on
  • 55. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS TEENAGERS & COLLEGE FRESHMEN Some Outcome are different, similar or comparable to one another based on
  • 56. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS TIME SPENT ON ELECTRONICS TEENAGERS & COLLEGE FRESHMEN are different, similar or comparable to one another based on
  • 57. Investigators wish to determine who spends more time on electronics: tweens, teenagers or college freshmen. TWEENS TIME SPENT ON ELECTRONICS TEENAGERS & COLLEGE FRESHMEN are different, similar or comparable to one another Therefore, this is a quebsatseiod onn of Difference between more than two groups
  • 58. This time, let’s see an example where we are looking at similarities between two groups instead of differences:
  • 59. The average score nationwide on the verbal section of the GRE is 610.
  • 60. The average score nationwide on the verbal section of the GRE is 610.
  • 61. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores.
  • 62. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population.
  • 63. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome A population A sample
  • 64. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Group 1 A population
  • 65. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students A population
  • 66. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students A population
  • 67. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students A population
  • 68. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students A population
  • 69. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students Population of Grad Students
  • 70. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students Population of Grad Students
  • 71. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on Some Outcome Sample of 50 Grad Students Population of Grad Students
  • 72. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. is similar to based on GRE Verbal Scores Population of Grad Students Sample of 50 Grad Students
  • 73. The average score nationwide on the verbal section of the GRE is 610. A researcher wants to do an experiment on a group (or sample) of graduate students that represent those with typical GRE verbal scores. So, she takes a sample of 50 grad students to see if they have statistically similar GRE verbal scores to the population. Therefore, this is a question of Similarity is similar between to a sample based on and a population, but classified as difference GRE Verbal Scores The Population of Grad Students A Sample of 50 Grad Students
  • 74. In many studies the only difference is that one group experiences something and the other group does not experience it.
  • 75. In many studies the only difference is that one group experiences something and the other group does not experience it. The group that experiences or is given something is generally known as the “experimental” or “treatment” group.
  • 76. In many studies the only difference is that one group experiences something and the other group does not experience it. The group that experiences or is given something is generally known as the “experimental” or “treatment” group.
  • 77. In many studies the only difference is that one group experiences something and the other group does not experience it. The group that does not experience nor is given something is generally known as the “control” group.
  • 78. Here is how a problem like this is generally written:
  • 79. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores.
  • 80. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores.
  • 81. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected.
  • 82. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not.
  • 83. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared.
  • 84. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group 1 is different Group 2 than
  • 85. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group 1 is different Group 2 than
  • 86. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group 2 Group using software is different than
  • 87. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group 2 Group using software is different than
  • 88. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group NOT using software Group using software is different than
  • 89. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on Some Outcome Group using software is different than Group NOT using software
  • 90. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. based on AP Stats Exam Scores Group using software is different than Group NOT using software
  • 91. In some situation the difference will not be between two groups,
  • 92. In some situation the difference will not be between two groups, but between the same group on two or more different occasions or times.
  • 93. Let’s see a visual of that:
  • 94. Let’s see a visual of that: Group 1 (Time 1)
  • 95. Let’s see a visual of that: Group 1 (Time 1) is different than
  • 96. Let’s see a visual of that: Group 1 (Time 2) Group 1 (Time 1) is different than
  • 97. Let’s see a visual of that: Group 1 (Time 2) Group 1 (Time 1) is different than The time is different but the group is the same
  • 98. Let’s see a visual of that: Group 1 based on (Time 2) Group 1 (Time 1) is different than
  • 99. Let’s see a visual of that: based on Some Outcome Group 1 (Time 2) Group 1 (Time 1) is different than
  • 100. Here is an example of this:
  • 101. An anti-boredom medication has been developed by scientists to combat boredom.
  • 102. An anti-boredom medication has been developed by scientists to combat boredom.
  • 103. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks.
  • 104. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared.
  • 105. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome Group 1 (Time 2) Group 1 (Time 1) is different than
  • 106. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome Group 1 (Time 2) is different than Group 1 (Time 1)
  • 107. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome Group 1 (Time 2) The Group BEFORE taking medication is different than
  • 108. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome Group 1 (Time 2) The Group BEFORE taking medication is different than
  • 109. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome The Group BEFORE taking medication is different than or comparable to Group 1 (Time 2)
  • 110. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome Group 1 (Time 2) The Group BEFORE taking medication is different than or comparable to
  • 111. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome The Group AFTER taking medicaion The Group BEFORE taking medication is different than or comparable to
  • 112. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome The Group AFTER taking medicaion The Group BEFORE taking medication is different than or comparable to
  • 113. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Some Outcome The Group AFTER taking medicaion The Group BEFORE taking medication is different than or comparable to
  • 114. An anti-boredom medication has been developed by scientists to combat boredom. A group of students who report being bored with school are administered a boredom survey and then administered the anti-boredom medication for three weeks. At the beginning of the fourth week the boredom survey is administered again and the results are compared. based on Degree of Boredom The Group AFTER taking medicaion The Group BEFORE taking medication is different than or comparable to
  • 115. Finally, let’s look at a “difference” problem that has a lot of other elements in it, that may make it difficult to classify as difference.
  • 116. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender.
  • 117. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected.
  • 118. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared.
  • 119. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison the scientist control for year in school as well as IQ scores.
  • 120. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups Wow, are selected. there One is group a lot uses the innovative software going and on the here! other group does not. Their exam scores are then compared. After running this comparison the scientist control for year in school as well as IQ scores.
  • 121. Scientist wish to determine the effect of an innovative instructional software on high school student The AP stats first exam thing scores we across need gender. Two groups to do are selected. is determine One group uses if the innovative software and the other group does not. Their there exam scores is a are difference then compared. After running this comparison control for year in school as well as IQ scores. here.
  • 122. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Are there two or more groups?
  • 123. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Are there two or more groups?
  • 124. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Are there two or more groups?
  • 125. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Yes, there are two groups
  • 126. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Are we looking for differences, similarities or comparisons?
  • 127. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Are we looking for differences, similarities or comparisons?
  • 128. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. Even though there are many other things going on in this problem, like
  • 129. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Questions Their exam about scores the are role then compared. After of gender running on this the comparison results control for year in school as well as IQ scores.
  • 130. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. or year in school
  • 131. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. or IQ scores
  • 132. Scientist wish to determine the effect of an innovative instructional software on high school student AP stats exam scores across gender. Two groups are selected. One group uses the innovative software and the other group does not. Their exam scores are then compared. After running this comparison control for year in school as well as IQ scores. The CENTRAL FOCUS of the question is on the difference between the GROUP who uses the software and the GROUP who does not.
  • 134. Questions of difference essentially examine the difference, similarity or comparison between two or more groups based on some outcome.
  • 135. Questions of difference essentially examine the difference, similarity or comparison between two or more groups based on some outcome. Group 1 based on Some Outcome Group 2 is different, similar, or comparable to
  • 136. At times, there may be more than two groups in the problem or research question.
  • 137. At times, there may be more than two groups in the problem or research question. Group 1 are different, similar or comparable to one another based on Some Outcome Group 2 & Group 3
  • 138. Some times those differences are between two groups or the same group at two different times.
  • 139. Some times those differences are between two groups or the same group at two different times. based on Some Outcome Group 1 (Time 2) Group 1 (Time 1) is different than
  • 140. And at times you may be examining how similar or representative a sample is to a population.
  • 141. And at times you may be examining how similar or representative a sample is to a population. is similar to based on Some Outcome A population A sample
  • 142. Some of the words to look for in your problem to determine if it is a question of difference are:
  • 143. Some of the words to look for in your problem to determine if it is a question of difference are: • More • Statistically different • Two groups • Two samples • Etc.
  • 144. Examine the question or problem you are working on.
  • 145. Is it a question of difference?
  • 146. If so, select DIFFERENCE
  • 147. If so, select DIFFERENCE