Mdtryhht

illegal generic type for instanceof when using local classes

How to tell that you are a giant?

What is a non-alternating simple group with big order, but relatively few conjugacy classes?

Storing hydrofluoric acid before the invention of plastics

Short Story with Cinderella as a Voo-doo Witch

What's the meaning of 間時肆拾貳 at a car parking sign

Can a non-EU citizen traveling with me come with me through the EU passport line?

Coloring maths inside a tcolorbox

Denied boarding although I have proper visa and documentation. To whom should I make a complaint?

Why am I getting the error "non-boolean type specified in a context where a condition is expected" for this request?

Apollo command module space walk?

In predicate logic, does existential quantification (∃) include universal quantification (∀), i.e. can 'some' imply 'all'?

Is there a (better) way to access $wpdb results?

Output the ŋarâþ crîþ alphabet song without using (m)any letters

Are two submodules (where one is contained in the other) isomorphic if their quotientmodules are isomorphic?

Why did the Falcon Heavy center core fall off the ASDS OCISLY barge?

How widely used is the term Treppenwitz? Is it something that most Germans know?

How to find out what spells would be useless to a blind NPC spellcaster?

Selecting the same column from Different rows Based on Different Criteria

Why did the IBM 650 use bi-quinary?

What causes the vertical darker bands in my photo?

Using et al. for a last / senior author rather than for a first author

Withdrew £2800, but only £2000 shows as withdrawn on online banking; what are my obligations?

Single word antonym of "flightless"

What is the interpretation of the p-value of 2.2e-16?

.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;

0

$begingroup$

I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.

Can someone please explain?

r p-value wilcoxon-mann-whitney

share|cite|improve this question

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
  $endgroup$
  – corey979
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Depending on your field, this might commonly be reported as p < 0.001.
  $endgroup$
  – APH
  4 hours ago
  

  
  
  
  

add a comment | 

0

$begingroup$

I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.

Can someone please explain?

r p-value wilcoxon-mann-whitney

share|cite|improve this question

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
  $endgroup$
  – corey979
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Depending on your field, this might commonly be reported as p < 0.001.
  $endgroup$
  – APH
  4 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.

Can someone please explain?

r p-value wilcoxon-mann-whitney

share|cite|improve this question

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

$endgroup$

share|cite|improve this question

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

share|cite|improve this question

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

edited 8 hours ago

Nick Cox

39.4k588132

edited 8 hours ago

Nick Cox

39.4k588132

asked 11 hours ago

Adam AminAdam Amin

1213

asked 11 hours ago

Adam AminAdam Amin

1213

3 Answers
3

active

oldest

votes

8

$begingroup$

2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.

The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.

< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).

share|cite|improve this answer

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

0

$begingroup$

Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:

• N was small




• The difference was expected to be small




• Other studies find small differences.

and so on.

I would make a density plot of the values in each of the groups and see if they look really different.

share|cite|improve this answer

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

$endgroup$

add a comment | 

0

$begingroup$

You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.

share|cite|improve this answer

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

$endgroup$

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
);



);

draft saved

draft discarded

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

Name

Email

Required, but never shown

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f403343%2fwhat-is-the-interpretation-of-the-p-value-of-2-2e-16%23new-answer', 'question_page');

);

Post as a guest

Name

Email

Required, but never shown

8

$begingroup$

2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.

The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.

< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).

share|cite|improve this answer

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

8

$begingroup$

2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.

The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.

< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).

share|cite|improve this answer

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.

The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.

< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).

share|cite|improve this answer

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this answer

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

answered 8 hours ago

morphistmorphist

911

New contributor

morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

answered 8 hours ago

morphistmorphist

911

0

$begingroup$

Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:

• N was small




• The difference was expected to be small




• Other studies find small differences.

and so on.

I would make a density plot of the values in each of the groups and see if they look really different.

share|cite|improve this answer

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

$endgroup$

add a comment | 

0

$begingroup$

Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:

• N was small




• The difference was expected to be small




• Other studies find small differences.

and so on.

I would make a density plot of the values in each of the groups and see if they look really different.

share|cite|improve this answer

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

$endgroup$

add a comment | 

$begingroup$

Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:

• N was small




• The difference was expected to be small




• Other studies find small differences.

and so on.

I would make a density plot of the values in each of the groups and see if they look really different.

share|cite|improve this answer

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

$endgroup$

share|cite|improve this answer

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

edited 3 hours ago

Sycorax

42.7k12112207

edited 3 hours ago

Sycorax

42.7k12112207

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

answered 3 hours ago

Peter Flom♦Peter Flom

77.6k12110219

0

$begingroup$

You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.

share|cite|improve this answer

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

$endgroup$

add a comment | 

0

$begingroup$

You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.

share|cite|improve this answer

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

$endgroup$

add a comment | 

$begingroup$

You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.

share|cite|improve this answer

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

$endgroup$

share|cite|improve this answer

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

answered 3 hours ago

Ahmed ArifAhmed Arif

1314

answered 3 hours ago

Ahmed ArifAhmed Arif

1314