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Covariates
Conceptual explanation &
demonstration
Imagine you want to know the effect of gender on hand
writing neatness scores.
Imagine you want to know the effect of gender on hand
writing neatness scores.
And you find that females tend to get higher
handwriting neatness scores.
Imagine you want to know the effect of gender on hand
writing neatness scores.
And you find that females tend to get higher
handwriting neatness scores.
But then you ask yourself. What if age were added to
the mix?
Imagine you want to know the effect of gender on hand
writing neatness scores.
And you find that females tend to get higher
handwriting neatness scores.
But then you ask yourself. What if age were added to
the mix?
Does the age of the male or the female have an effect?
Imagine you want to know the effect of gender on hand
writing neatness scores.
And you find that females tend to get higher
handwriting neatness scores.
But then you ask yourself. What if age were added to
the mix?
Does the age of the male or the female have an effect?
Is there a way to see what the difference would be if
we eliminated the age effect?
Let’s look at the data set
Participant Gender Hand Writing
Neatness Scores
Bubba Male 5
Boston Male 4
Camille Female 6
Cassidy Female 7
Delbert Male 6
Danny Male 5
Ester Female 8
Emily Female 9
Participant Gender Hand Writing
Neatness Scores
Bubba Male 5
Boston Male 4
Camille Female 6
Cassidy Female 7
Delbert Male 6
Danny Male 5
Ester Female 8
Emily Female 9
It appears that
females have
higher scores
Participant Gender Hand Writing
Neatness Scores
Bubba Male 5
Boston Male 4
Camille Female 6
Cassidy Female 7
Delbert Male 6
Danny Male 5
Ester Female 8
Emily Female 9
It appears that
females have
higher scores
than
males
Participant Gender Hand Writing
Neatness Scores
Bubba Male 5
Boston Male 4
Camille Female 6
Cassidy Female 7
Delbert Male 6
Danny Male 5
Ester Female 8
Emily Female 9
Now let’s add age
Participant Gender Age Hand Writing
Neatness Scores
Bubba Male Older 5
Boston Male Younger 4
Camille Female Older 6
Cassidy Female Younger 7
Delbert Male Older 6
Danny Male Younger 5
Ester Female Older 8
Emily Female Younger 9
Participant Gender Age Hand Writing
Neatness Scores
Bubba Male Older 5
Boston Male Younger 4
Camille Female Older 6
Cassidy Female Younger 7
Delbert Male Older 6
Danny Male Younger 5
Ester Female Older 8
Emily Female Younger 9
There is a way
statistically to control
for or take out the
effect of age and then
see if gender still has
an effect.
Participant Gender Age Hand Writing
Neatness Scores
Bubba Male Older 5
Boston Male Younger 4
Camille Female Older 6
Cassidy Female Younger 7
Delbert Male Older 6
Danny Male Younger 5
Ester Female Older 8
Emily Female Younger 9
If gender does not
have an effect after
controlling for age,
Participant Gender Age Hand Writing
Neatness Scores
Bubba Male Older 5
Boston Male Younger 4
Camille Female Older 6
Cassidy Female Younger 7
Delbert Male Older 6
Danny Male Younger 5
Ester Female Older 8
Emily Female Younger 9
. . . then we would say
that age was probably
the real factor
differentiating
handwriting neatness.
In summary, a covariate (age) is used to determine how
much another factor (gender) is really having an effect
on a dependent variable (handwriting neatness
scores).

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Covariates explain & demo (revised)

  • 2. Imagine you want to know the effect of gender on hand writing neatness scores.
  • 3. Imagine you want to know the effect of gender on hand writing neatness scores. And you find that females tend to get higher handwriting neatness scores.
  • 4. Imagine you want to know the effect of gender on hand writing neatness scores. And you find that females tend to get higher handwriting neatness scores. But then you ask yourself. What if age were added to the mix?
  • 5. Imagine you want to know the effect of gender on hand writing neatness scores. And you find that females tend to get higher handwriting neatness scores. But then you ask yourself. What if age were added to the mix? Does the age of the male or the female have an effect?
  • 6. Imagine you want to know the effect of gender on hand writing neatness scores. And you find that females tend to get higher handwriting neatness scores. But then you ask yourself. What if age were added to the mix? Does the age of the male or the female have an effect? Is there a way to see what the difference would be if we eliminated the age effect?
  • 7. Let’s look at the data set
  • 8. Participant Gender Hand Writing Neatness Scores Bubba Male 5 Boston Male 4 Camille Female 6 Cassidy Female 7 Delbert Male 6 Danny Male 5 Ester Female 8 Emily Female 9
  • 9. Participant Gender Hand Writing Neatness Scores Bubba Male 5 Boston Male 4 Camille Female 6 Cassidy Female 7 Delbert Male 6 Danny Male 5 Ester Female 8 Emily Female 9 It appears that females have higher scores
  • 10. Participant Gender Hand Writing Neatness Scores Bubba Male 5 Boston Male 4 Camille Female 6 Cassidy Female 7 Delbert Male 6 Danny Male 5 Ester Female 8 Emily Female 9 It appears that females have higher scores than males
  • 11. Participant Gender Hand Writing Neatness Scores Bubba Male 5 Boston Male 4 Camille Female 6 Cassidy Female 7 Delbert Male 6 Danny Male 5 Ester Female 8 Emily Female 9 Now let’s add age
  • 12. Participant Gender Age Hand Writing Neatness Scores Bubba Male Older 5 Boston Male Younger 4 Camille Female Older 6 Cassidy Female Younger 7 Delbert Male Older 6 Danny Male Younger 5 Ester Female Older 8 Emily Female Younger 9
  • 13. Participant Gender Age Hand Writing Neatness Scores Bubba Male Older 5 Boston Male Younger 4 Camille Female Older 6 Cassidy Female Younger 7 Delbert Male Older 6 Danny Male Younger 5 Ester Female Older 8 Emily Female Younger 9 There is a way statistically to control for or take out the effect of age and then see if gender still has an effect.
  • 14. Participant Gender Age Hand Writing Neatness Scores Bubba Male Older 5 Boston Male Younger 4 Camille Female Older 6 Cassidy Female Younger 7 Delbert Male Older 6 Danny Male Younger 5 Ester Female Older 8 Emily Female Younger 9 If gender does not have an effect after controlling for age,
  • 15. Participant Gender Age Hand Writing Neatness Scores Bubba Male Older 5 Boston Male Younger 4 Camille Female Older 6 Cassidy Female Younger 7 Delbert Male Older 6 Danny Male Younger 5 Ester Female Older 8 Emily Female Younger 9 . . . then we would say that age was probably the real factor differentiating handwriting neatness.
  • 16. In summary, a covariate (age) is used to determine how much another factor (gender) is really having an effect on a dependent variable (handwriting neatness scores).