Why we try to capture variability? Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 23:30UTC (7:30pm US/Eastern)What is a good way to measure how well a set of data fits to a set of functionsHow to transform factor scores of a PCA for a regression, in SPSS?Score Variance of supplementary individuals in PCAWhich variables should I transform, center, and/or standardize in my data for Principal Component Analysis?Where is the indeterminacy of factor values on this plot explaining factor analysis?Geometric understanding of PCA in the subject (dual) spacePairwise distance as measure of variabilityWhat is the fastest way to compute PC1 scores, without performing the whole PCA?Do the variables having high partial correlation also contributes to a high proportion of variance explained by the computed principal components?PCA: how to select eigen vectors corresponding to small eigenvalues for regression
How did Fremen produce and carry enough thumpers to use Sandworms as de facto Ubers?
Semigroups with no morphisms between them
How can I prevent/balance waiting and turtling as a response to cooldown mechanics
How could we fake a moon landing now?
What to do with repeated rejections for phd position
How does light 'choose' between wave and particle behaviour?
Most bit efficient text communication method?
What would you call this weird metallic apparatus that allows you to lift people?
Do I really need to have a message in a novel to appeal to readers?
Why are vacuum tubes still used in amateur radios?
Dyck paths with extra diagonals from valleys (Laser construction)
How many time has Arya actually used Needle?
preposition before coffee
Central Vacuuming: Is it worth it, and how does it compare to normal vacuuming?
What's the point of the test set?
How do I find out the mythology and history of my Fortress?
How were pictures turned from film to a big picture in a picture frame before digital scanning?
Did any compiler fully use 80-bit floating point?
Karn the great creator - 'card from outside the game' in sealed
A term for a woman complaining about things/begging in a cute/childish way
Is it fair for a professor to grade us on the possession of past papers?
Why does 14 CFR have skipped subparts in my ASA 2019 FAR/AIM book?
A letter with no particular backstory
How can I set the aperture on my DSLR when it's attached to a telescope instead of a lens?
Why we try to capture variability?
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30UTC (7:30pm US/Eastern)What is a good way to measure how well a set of data fits to a set of functionsHow to transform factor scores of a PCA for a regression, in SPSS?Score Variance of supplementary individuals in PCAWhich variables should I transform, center, and/or standardize in my data for Principal Component Analysis?Where is the indeterminacy of factor values on this plot explaining factor analysis?Geometric understanding of PCA in the subject (dual) spacePairwise distance as measure of variabilityWhat is the fastest way to compute PC1 scores, without performing the whole PCA?Do the variables having high partial correlation also contributes to a high proportion of variance explained by the computed principal components?PCA: how to select eigen vectors corresponding to small eigenvalues for regression
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I am new to Statistics and I have a Mathematics background. In Statistics, particularly in Linear Regression and Principal Component Analysis (PCA) so far what I have understood is that the main idea is to try to capture as much as possible variability present in the data. In linear regression, while calculating $ R^2 (R squared)$ measure we are checking the proportion of variability captured by our model and in PCA we are forming a new basis along which our data has the maximum possible variability. Is there any significant result behind this logic? I mean why we have to go after variability? Any help in this matter will be appreciated.
regression pca variability
New contributor
$endgroup$
add a comment |
$begingroup$
I am new to Statistics and I have a Mathematics background. In Statistics, particularly in Linear Regression and Principal Component Analysis (PCA) so far what I have understood is that the main idea is to try to capture as much as possible variability present in the data. In linear regression, while calculating $ R^2 (R squared)$ measure we are checking the proportion of variability captured by our model and in PCA we are forming a new basis along which our data has the maximum possible variability. Is there any significant result behind this logic? I mean why we have to go after variability? Any help in this matter will be appreciated.
regression pca variability
New contributor
$endgroup$
add a comment |
$begingroup$
I am new to Statistics and I have a Mathematics background. In Statistics, particularly in Linear Regression and Principal Component Analysis (PCA) so far what I have understood is that the main idea is to try to capture as much as possible variability present in the data. In linear regression, while calculating $ R^2 (R squared)$ measure we are checking the proportion of variability captured by our model and in PCA we are forming a new basis along which our data has the maximum possible variability. Is there any significant result behind this logic? I mean why we have to go after variability? Any help in this matter will be appreciated.
regression pca variability
New contributor
$endgroup$
I am new to Statistics and I have a Mathematics background. In Statistics, particularly in Linear Regression and Principal Component Analysis (PCA) so far what I have understood is that the main idea is to try to capture as much as possible variability present in the data. In linear regression, while calculating $ R^2 (R squared)$ measure we are checking the proportion of variability captured by our model and in PCA we are forming a new basis along which our data has the maximum possible variability. Is there any significant result behind this logic? I mean why we have to go after variability? Any help in this matter will be appreciated.
regression pca variability
regression pca variability
New contributor
New contributor
edited 1 hour ago
Karolis Koncevičius
2,40341630
2,40341630
New contributor
asked 5 hours ago
SatishSatish
112
112
New contributor
New contributor
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
In many cases the reason we use regression is to explain variability. In that sense, how much variability is explained is one of the key measures of success.
This may be more clear with an example. I recently worked on a project where we created a regression model to explain employee performance. We did this because our stakeholders (senior management) wanted to know why some employees were performing well and others weren't. That is, why do we see variance in employee performance?
Phrased this way it should be clear that a key performance metric for our model is how much variability it anticipates.
$endgroup$
add a comment |
Your Answer
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
);
);
Satish is a new contributor. Be nice, and check out our Code of Conduct.
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%2f404014%2fwhy-we-try-to-capture-variability%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
$begingroup$
In many cases the reason we use regression is to explain variability. In that sense, how much variability is explained is one of the key measures of success.
This may be more clear with an example. I recently worked on a project where we created a regression model to explain employee performance. We did this because our stakeholders (senior management) wanted to know why some employees were performing well and others weren't. That is, why do we see variance in employee performance?
Phrased this way it should be clear that a key performance metric for our model is how much variability it anticipates.
$endgroup$
add a comment |
$begingroup$
In many cases the reason we use regression is to explain variability. In that sense, how much variability is explained is one of the key measures of success.
This may be more clear with an example. I recently worked on a project where we created a regression model to explain employee performance. We did this because our stakeholders (senior management) wanted to know why some employees were performing well and others weren't. That is, why do we see variance in employee performance?
Phrased this way it should be clear that a key performance metric for our model is how much variability it anticipates.
$endgroup$
add a comment |
$begingroup$
In many cases the reason we use regression is to explain variability. In that sense, how much variability is explained is one of the key measures of success.
This may be more clear with an example. I recently worked on a project where we created a regression model to explain employee performance. We did this because our stakeholders (senior management) wanted to know why some employees were performing well and others weren't. That is, why do we see variance in employee performance?
Phrased this way it should be clear that a key performance metric for our model is how much variability it anticipates.
$endgroup$
In many cases the reason we use regression is to explain variability. In that sense, how much variability is explained is one of the key measures of success.
This may be more clear with an example. I recently worked on a project where we created a regression model to explain employee performance. We did this because our stakeholders (senior management) wanted to know why some employees were performing well and others weren't. That is, why do we see variance in employee performance?
Phrased this way it should be clear that a key performance metric for our model is how much variability it anticipates.
answered 4 hours ago
indigochildindigochild
1535
1535
add a comment |
add a comment |
Satish is a new contributor. Be nice, and check out our Code of Conduct.
Satish is a new contributor. Be nice, and check out our Code of Conduct.
Satish is a new contributor. Be nice, and check out our Code of Conduct.
Satish is a new contributor. Be nice, and check out our Code of Conduct.
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.
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%2f404014%2fwhy-we-try-to-capture-variability%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