Using linear regression with binary and categorical variables.
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I have a dataset with a binary variable: "Religious" with $0$ being "no" and $1$ being "yes". And a categorical variable "Contraceptive" having the values $1,2$ and $3$. Where $1$ = no use, $2$ = short term use and $3$ = long term use. The original dataset is something like this:
begin{align}
&text{Religious}::: text{Contraceptive}\
&1 hspace{42pt} 1 \
&1 hspace{42pt} 1 \
&0 hspace{42pt} 2 \
&0 hspace{42pt} 3 \
&vdots
end{align}
then I created three other columns and changed the contraceptive column to:
begin{align}
&text{no use} ::: text{short} ::: text{long}\
&1 hspace{28pt} 0 hspace{28pt} 0 \
&1 hspace{28pt} 0 hspace{28pt} 0 \
&0 hspace{28pt} 1 hspace{28pt} 0\
&0 hspace{28pt} 0 hspace{28pt} 1\
&vdots
end{align}
Is now possible to use a simple linear regression with these variables? How does one do that? I'm using R.
linear-algebra statistics regression
asked Nov 18 at 19:08
Pinteco
629212
add a comment |
up vote
1
down vote
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I have a dataset with a binary variable: "Religious" with $0$ being "no" and $1$ being "yes". And a categorical variable "Contraceptive" having the values $1,2$ and $3$. Where $1$ = no use, $2$ = short term use and $3$ = long term use. The original dataset is something like this:
begin{align}
&text{Religious}::: text{Contraceptive}\
&1 hspace{42pt} 1 \
&1 hspace{42pt} 1 \
&0 hspace{42pt} 2 \
&0 hspace{42pt} 3 \
&vdots
end{align}
then I created three other columns and changed the contraceptive column to:
begin{align}
&text{no use} ::: text{short} ::: text{long}\
&1 hspace{28pt} 0 hspace{28pt} 0 \
&1 hspace{28pt} 0 hspace{28pt} 0 \
&0 hspace{28pt} 1 hspace{28pt} 0\
&0 hspace{28pt} 0 hspace{28pt} 1\
&vdots
end{align}
Is now possible to use a simple linear regression with these variables? How does one do that? I'm using R.
linear-algebra statistics regression
asked Nov 18 at 19:08
Pinteco
629212
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I have a dataset with a binary variable: "Religious" with $0$ being "no" and $1$ being "yes". And a categorical variable "Contraceptive" having the values $1,2$ and $3$. Where $1$ = no use, $2$ = short term use and $3$ = long term use. The original dataset is something like this:
begin{align}
&text{Religious}::: text{Contraceptive}\
&1 hspace{42pt} 1 \
&1 hspace{42pt} 1 \
&0 hspace{42pt} 2 \
&0 hspace{42pt} 3 \
&vdots
end{align}
then I created three other columns and changed the contraceptive column to:
begin{align}
&text{no use} ::: text{short} ::: text{long}\
&1 hspace{28pt} 0 hspace{28pt} 0 \
&1 hspace{28pt} 0 hspace{28pt} 0 \
&0 hspace{28pt} 1 hspace{28pt} 0\
&0 hspace{28pt} 0 hspace{28pt} 1\
&vdots
end{align}
Is now possible to use a simple linear regression with these variables? How does one do that? I'm using R.
linear-algebra statistics regression
asked Nov 18 at 19:08
Pinteco
629212
I have a dataset with a binary variable: "Religious" with $0$ being "no" and $1$ being "yes". And a categorical variable "Contraceptive" having the values $1,2$ and $3$. Where $1$ = no use, $2$ = short term use and $3$ = long term use. The original dataset is something like this:
begin{align}
&text{Religious}::: text{Contraceptive}\
&1 hspace{42pt} 1 \
&1 hspace{42pt} 1 \
&0 hspace{42pt} 2 \
&0 hspace{42pt} 3 \
&vdots
end{align}
then I created three other columns and changed the contraceptive column to:
begin{align}
&text{no use} ::: text{short} ::: text{long}\
&1 hspace{28pt} 0 hspace{28pt} 0 \
&1 hspace{28pt} 0 hspace{28pt} 0 \
&0 hspace{28pt} 1 hspace{28pt} 0\
&0 hspace{28pt} 0 hspace{28pt} 1\
&vdots
end{align}
Is now possible to use a simple linear regression with these variables? How does one do that? I'm using R.
linear-algebra statistics regression
linear-algebra statistics regression
asked Nov 18 at 19:08
Pinteco
629212
asked Nov 18 at 19:08
Pinteco
629212
asked Nov 18 at 19:08
Pinteco
629212
asked Nov 18 at 19:08
Pinteco
629212
asked Nov 18 at 19:08
Pinteco
629212
629212
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
up vote
2
down vote
accepted
No. Your dependent variable is binary, i.e., ${0,1}$, hence a possible model is a logistic regression, i.e.,
$$
widehat{ mathbb{P}( Y_i = 1) } = frac{1}
{ 1 + exp{ -(beta_0 + beta_1text{short}
+
beta_1 text{short} )
}},
$$
in R
glm( formula = Religious ~ short + long,
family = binomial(link = "logit") )
answered Nov 18 at 19:54
V. Vancak
10.5k2926
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
No. Your dependent variable is binary, i.e., ${0,1}$, hence a possible model is a logistic regression, i.e.,
$$
widehat{ mathbb{P}( Y_i = 1) } = frac{1}
{ 1 + exp{ -(beta_0 + beta_1text{short}
+
beta_1 text{short} )
}},
$$
in R
glm( formula = Religious ~ short + long,
family = binomial(link = "logit") )
answered Nov 18 at 19:54
V. Vancak
10.5k2926
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
add a comment |
up vote
2
down vote
accepted
No. Your dependent variable is binary, i.e., ${0,1}$, hence a possible model is a logistic regression, i.e.,
$$
widehat{ mathbb{P}( Y_i = 1) } = frac{1}
{ 1 + exp{ -(beta_0 + beta_1text{short}
+
beta_1 text{short} )
}},
$$
in R
glm( formula = Religious ~ short + long,
family = binomial(link = "logit") )
answered Nov 18 at 19:54
V. Vancak
10.5k2926
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
add a comment |
up vote
2
down vote
accepted
up vote
2
down vote
accepted
No. Your dependent variable is binary, i.e., ${0,1}$, hence a possible model is a logistic regression, i.e.,
$$
widehat{ mathbb{P}( Y_i = 1) } = frac{1}
{ 1 + exp{ -(beta_0 + beta_1text{short}
+
beta_1 text{short} )
}},
$$
in R
glm( formula = Religious ~ short + long,
family = binomial(link = "logit") )
answered Nov 18 at 19:54
V. Vancak
10.5k2926
No. Your dependent variable is binary, i.e., ${0,1}$, hence a possible model is a logistic regression, i.e.,
$$
widehat{ mathbb{P}( Y_i = 1) } = frac{1}
{ 1 + exp{ -(beta_0 + beta_1text{short}
+
beta_1 text{short} )
}},
$$
in R
glm( formula = Religious ~ short + long,
family = binomial(link = "logit") )
answered Nov 18 at 19:54
V. Vancak
10.5k2926
answered Nov 18 at 19:54
V. Vancak
10.5k2926
answered Nov 18 at 19:54
V. Vancak
10.5k2926
answered Nov 18 at 19:54
V. Vancak
10.5k2926
10.5k2926
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
add a comment |
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
What if the dependent variable is Contraceptive. I want to check how the religion impacts on the method of use in the contraceptive.
– Pinteco
Nov 18 at 19:57
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
Then multinomial logistic regression en.wikipedia.org/wiki/Multinomial_logistic_regression
– V. Vancak
Nov 18 at 19:58
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
If I had a categorical (contraceptive) with a numerical (age) then can I use a linear regression? What type of variables can I use linear regression, when the dependent variable is a categorical one (contraceptive) ? Maybe something like this exists in multiple linear regression, lm(short+long+noUse ~ age)
– Pinteco
Nov 18 at 20:10
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
Then you can use a multivariate regression. E.g., users.stat.umn.edu/~helwig/notes/mvlr-Notes.pdf slide 43 and on
– V. Vancak
Nov 18 at 20:13
add a comment |
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