How to calculate standardized coefficients from an estimated multiple regression model
up vote
3
down vote
favorite
I have a multiple regression model(original model) that has been estimated already, and the details on the mean and standard deviations of the regressors, and the standard errors of coefficients from the original model are provided. This model has 4 explanatory variables along with an intercept.
In general, what is the procedure to calculate standardized coefficients using the values of estimated coefficients in the original model, (which is linear in parameters and the regressors) and all the other details I just mentioned that have been provided to me?
The purpose of doing this being that I've been asked to compare the magnitudes of the influence of some explanatory variables on the dependent variable.
regression estimation econometrics standardization
add a comment |
up vote
3
down vote
favorite
I have a multiple regression model(original model) that has been estimated already, and the details on the mean and standard deviations of the regressors, and the standard errors of coefficients from the original model are provided. This model has 4 explanatory variables along with an intercept.
In general, what is the procedure to calculate standardized coefficients using the values of estimated coefficients in the original model, (which is linear in parameters and the regressors) and all the other details I just mentioned that have been provided to me?
The purpose of doing this being that I've been asked to compare the magnitudes of the influence of some explanatory variables on the dependent variable.
regression estimation econometrics standardization
add a comment |
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I have a multiple regression model(original model) that has been estimated already, and the details on the mean and standard deviations of the regressors, and the standard errors of coefficients from the original model are provided. This model has 4 explanatory variables along with an intercept.
In general, what is the procedure to calculate standardized coefficients using the values of estimated coefficients in the original model, (which is linear in parameters and the regressors) and all the other details I just mentioned that have been provided to me?
The purpose of doing this being that I've been asked to compare the magnitudes of the influence of some explanatory variables on the dependent variable.
regression estimation econometrics standardization
I have a multiple regression model(original model) that has been estimated already, and the details on the mean and standard deviations of the regressors, and the standard errors of coefficients from the original model are provided. This model has 4 explanatory variables along with an intercept.
In general, what is the procedure to calculate standardized coefficients using the values of estimated coefficients in the original model, (which is linear in parameters and the regressors) and all the other details I just mentioned that have been provided to me?
The purpose of doing this being that I've been asked to compare the magnitudes of the influence of some explanatory variables on the dependent variable.
regression estimation econometrics standardization
regression estimation econometrics standardization
asked Nov 23 at 18:03
divya garg
163
163
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
up vote
4
down vote
You can simply compute:
$$
hat{beta}_{i,std} = hat{beta}_i*frac{sd(x_i)}{sd(y)}
$$
Where $hat{beta}_i$ is the original coefficient of covariate $X_i$, and $sd(cdot)$ refers to sample standard deviations.
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "65"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f378450%2fhow-to-calculate-standardized-coefficients-from-an-estimated-multiple-regression%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
4
down vote
You can simply compute:
$$
hat{beta}_{i,std} = hat{beta}_i*frac{sd(x_i)}{sd(y)}
$$
Where $hat{beta}_i$ is the original coefficient of covariate $X_i$, and $sd(cdot)$ refers to sample standard deviations.
add a comment |
up vote
4
down vote
You can simply compute:
$$
hat{beta}_{i,std} = hat{beta}_i*frac{sd(x_i)}{sd(y)}
$$
Where $hat{beta}_i$ is the original coefficient of covariate $X_i$, and $sd(cdot)$ refers to sample standard deviations.
add a comment |
up vote
4
down vote
up vote
4
down vote
You can simply compute:
$$
hat{beta}_{i,std} = hat{beta}_i*frac{sd(x_i)}{sd(y)}
$$
Where $hat{beta}_i$ is the original coefficient of covariate $X_i$, and $sd(cdot)$ refers to sample standard deviations.
You can simply compute:
$$
hat{beta}_{i,std} = hat{beta}_i*frac{sd(x_i)}{sd(y)}
$$
Where $hat{beta}_i$ is the original coefficient of covariate $X_i$, and $sd(cdot)$ refers to sample standard deviations.
answered Nov 23 at 18:49
statslearner2
14512
14512
add a comment |
add a comment |
Thanks for contributing an answer to Cross Validated!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f378450%2fhow-to-calculate-standardized-coefficients-from-an-estimated-multiple-regression%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown